Publikationen
2022
Begutachteter Zeitschriftenartikel
Analysis and experimental demonstration of temperature step gradients in preparative liquid chromatography
An, Xinghai; Hayat, Adnan; Lee, Ju Weon; Qamar, Shamsul; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: Journal of chromatography / A - New York, NY [u.a.]: Science Direct, Bd. 1665 (2022)
Begutachteter Zeitschriftenartikel
A new method to discretize a model for isothermal flow with a multi-component equation of state
Hantke, Maren; Matern, Christoph; Warnecke, Gerald; Yaghi, Hazem
In: Journal of computational and applied mathematics - Amsterdam [u.a.] : North-Holland, Bd. 422 (2023), Artikel 114876, insges. 10 S.
Begutachteter Zeitschriftenartikel
Radially symmetric solutions of the ultra-relativistic Euler equations
Kunik, Matthias; Liu, Hailiang; Warnecke, Gerald
In: Methods and applications of analysis - Somerville, Mass.: International Press, Bd. 28 (2021), 4, S. 401-422
Dissertation
The Riemann problem for weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid
Matern, Christoph; Warnecke, Gerald
In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2022, 1 Online-Ressource (x, 125 Seiten, 1,74 MB) [Literaturverzeichnis: Seite 119-125]
2020
Artikel in Zeitschrift
The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid
Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald
In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, 1943, Bd. 78 (2020), 3, S. 431-467
Buchbeitrag
Analytical results for the Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid
Hantke, Maren; Matern, Christoph; Warnecke, Gerald
In: Continuum mechanics, applied mathematics and scientific computing: Godunov's legacy - Chem: Springer; Demidenko, Gennadii V. . - 2020, S. 169-175
Begutachteter Zeitschriftenartikel
Ein Brief von C.F. Gauß an C.L. Gerling - kleinste Fehlerquadrate und das Gauß-Seidel-Verfahren
Warnecke, Gerald
In: Mathematische Semesterberichte - Berlin: Springer, Bd. 67.2020, S. 57-84
Dissertation
Analysis of coupling interface problems for bi-domain diffusion equations
Munir, Taj; Warnecke, Gerald
In: Magdeburg, 2020, x, 151 Seiten, Diagramme, 30 cm[Literaturverzeichnis: Seite 149-151]
Nicht begutachteter Zeitschriftenartikel
Radially symmetric solutions of the ultra-relativistic Euler equations
Kunik, Matthias; Liu, Hailian; Warnecke, Gerald
In: Magdeburg: Otto-von-Guericke-Universität, Fakultät für Mathematik, 2020, 25 Seiten, Illustrationen - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2020, Nr. 02)
2019
Buchbeitrag
Zahl oder Menge - über grundlegende Formen der Mathematik
Warnecke, Gerald
In: Ästhetik & Artikulation: Dialoge zu Qualitäten menschlichen Tuns - Münster: Waxmann, 2019; Adler, David . - 2019, S. 191-204 - (Dialog der Wissenschaften; 3)
Begutachteter Zeitschriftenartikel
Theoretical and numerical studies of the PNPM DG schemes in one space dimension
Badenjki, Abdulatif; Warnecke, Gerald
In: Applications of mathematics - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1956, Bd. 64.2019, 6, S. 599-635
Begutachteter Zeitschriftenartikel
Theoretical analysis of forced segmented temperature gradients in liquid chromatography
Hayat, Adnan; An, Xinghai; Qamar, Shamsul; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: Processes - Basel: MDPI, Volume 7 (2019), 1, Artikel 846
2018
Abstract
Noise reduction in perfusion imaging using data-driven prior knowledge
Bannasch, Sebastian; Eckel, Christina; Frysch, Robert; Beuing, Oliver; Warnecke, Gerald; Rose, Georg
In: Clinical neuroradiology - München : Urban & Vogel , 2006 - Vol. 28.2018, Suppl. 1, Abstr. 288, S. S100-S101
Buchbeitrag
Numerical solutions for a weakly hyperbolic dispersed two-phase flow model
Hantke, Maren; Matern, Christoph; Warnecke, Gerald
In: Konferenz: XVI International Conference on Hyperbolic Problems, Aachen, Germany, August, 2016, Theory, Numerics and Applications of Hyperbolic Problems I - Cham: Springer International Publishing . - 2018, S. 665-675 - (Springer Proceedings in Mathematics & Statistics; 236)
Begutachteter Zeitschriftenartikel
Time separation technique - accurate solution for 4D C-Arm-CT perfusion imaging using a temporal decomposition model
Bannasch, Sebastian; Frysch, Robert; Pfeiffer, Tim; Warnecke, Gerald; Rose, Georg
In: Medical physics - Hoboken, NJ : Wiley, Bd. 45 (2018), 3, S. 1080-1092
Begutachteter Zeitschriftenartikel
Multiscale modeling and numerical simulation of calcium cycling in cardiac myocytes
Chamakuri, Nagaiah; Neubert, Wilhelm; Gilbert, Stephen; Vierheller, Janine; Warnecke, Gerald; Falcke, Martin
In: Multiscale modeling & simulation - Philadelphia, Pa.: SIAM, 2003, Bd. 16.2018, 3, S. 1115-1145
Dissertation
The PNPM schemes for the one dimensional hyperbolic conservation laws
Badenjki, Abdulatif; Warnecke, Gerald
In: Magdeburg, 2018, 120 Seiten, Tabellen, Diagramme[Literaturverzeichnis: Seite 118-119]
Habilitation
Two-phase flows with phase transitions - modelling, analysis, numerics
Hantke, Maren; Warnecke, Gerald
In: Magdeburg, 2018, 322 Seiten, Illustrationen, Diagramme, 30 cm[Literaturangaben]
2017
Abstract
Robust computation of perfusion maps for spatiotemporal model-based CT reconstructionsons
Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg
In: Recent progress and developments: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, November 6 and 7, 2017, Magdeburg, Germany : abstract book - Magdeburg, 2017, 2017, Art. ID47, S. 31
Abstract
Dynamische Perfusionsbildgebung mit C-Arm-System
Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg
In: Clinical neuroradiology - München: Urban & Vogel, 2006, Vol. 27.2017, Suppl. 1, Art. 311, S. S46
Aufsatz
Influence of particle size distribution on the limestone decomposition in single shaft kilns
Hallak, Bassem; Specht, Eckehard; Herz, Fabian; Gröpler, Robin; Warnecke, Gerald
In: Energy procedia - Amsterdam [u.a.] : Elsevier, Bd. 120 (2017), S. 604-611
Dissertation
Numerical simulation schemes for inhomogeneous convection-diffusion systems modeling fluidized beds
Alkurdi, Yaser; Warnecke, Gerald; Bück, Andreas
In: Magdeburg, 2017, vi, 145 Seiten, Illustrationen[Literaturverzeichnis: Seite 137-143]
Dissertation
Analytical and numerical investigation of an intracellular calcium dynamics model
Okiro, Jared Ouma; Warnecke, Gerald
In: Magdeburg, 2017, ix, 128 Seiten, Illustrationen[Literaturverzeichnis: Seite 115-127]
2016
Abstract
A compaqct algorithm for a model-based perfusion reconstruction technique
Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg
In: IMA Conference on Numerical Linear Algebra und Optimization: Wednesday 7 - Friday 9 September 2016, University of Birmingham ; abstracts book and delegate list - Birmingham: Institut of Mathematics & its Applications, 2016 . - 2016, S. 36-37
Aufsatz
Simulation of limestone calcination in normal shaft kilns, Part 3: Influence of particle size distribution and type of limestone
Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald
In: Cement, lime, gypsum - Gütersloh : Bauverl. BV, Bd. 69 (2016), Heft 3, S. 64-68
Dissertation
Model-based stochastic optimization of palm oil deodorization via Short-Path-Distillation towards 3-MCPD fatty acid ester formation and major oil quality parameters
Rudolph, Tim Christoph; Mörl, Lothar; Kahle, Waltraud; Warnecke, Gerald
In: Magdeburg, 2016, XIX, 228 Seiten, Illustrationen
2015
Abstract
Acceleration of a regularized Algebraic Reconstruction Technique evaluated with a simulation of computed tomography
Bannasch, Sebastian; Pfeiffer, Tim; Warnecke, Gerald; Rose, Georg
In: IMA Conference on Numerical Methods for Simulation: Tuesday 1 - Friday 4 September 2015, Mathematical Institute, University of Oxford ; abstracts book and delegate list - Oxford: Univ., 2015 . - 2015, S. 17
Abstract
Koeffizientenbasierte Algebraische Rekonstruktions-Technik für modellbasierte Perfusionsbildgebung
Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg
In: IGIC 2015: 2. Image-Guided Interventions Conference, 2. - 3. November 2015, Mannheim ; Abstractband - Vorträge - Mannheim, S. 19[Beitrag auf USB-Stick]
Aufsatz
Simulation of limestone calcination in normal shaft kilns - Part 2: influence of process parameters
Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald
In: Cement, lime, gypsum - Gütersloh : Bauverl. BV . - 2015, Heft 10, S. 46-50
Aufsatz
Simulation of limestone calcination in normal shaft kilns - Part 1 - mathematical model
Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald
In: Cement, lime, gypsum - Gütersloh : Bauverl. BV . - 2015, Heft 9, S. 66-71
Begutachteter Zeitschriftenartikel
The singular kernel coagulation equation with multifragmentation
Camejo, Carlos Cueto; Warnecke, Gerald
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 14, S. 2953-2973
Begutachteter Zeitschriftenartikel
Regular solutions to the coagulation equations with singular kernels
Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald
In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 11, S. 2171-2184
Herausgeberschaft
Simulation of the limestone calcination in normal shaft kilns
Herz, Fabian; Hallak, Bassem; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald
In: 10th European Conference on Industrial Furnaces and Boilers - Gaia (Porto) . - 2015, insges. 10 S.
Artikel in Kongressband
An optimal relaxation of the algebraic reconstruction technique for CT imaging
Bannasch, Sebastian; Frysch, Robert; Bismark, Richard; Warnecke, Gerald; Rose, Georg
In: Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine: proceedings - Newport, 2015, Art. Th21, S. 622-625
Nicht begutachteter Zeitschriftenartikel
Simulation of limestone calcination in normal shaft kilns - mathematical model
Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald
In: ZKG international / Verein Deutscher Zementwerke ; Bundesverband der Deutschen Zementindustrie ; Bundesverband der Deutschen Kalkindustrie ; Bundesverband der Gips- und Gipsbauplattenindustrie - Walluf: Bauverl., 1995, Bd. 68.2015, 9, S. 66-71
2014
Abstract
An implicit optimization approach for the Kaczmarz method applied to algebraic reconstruction techniques for computed tomography
Bannasch, Sebastian; Warnecke, Gerald; Frysch, Robert; Pfeiffer, Tim; Rose, Georg
In: 4th IMA Confernece on Numerical Linear Algebra and Optimisation: Wednesday 3 September - Friday 5 September 2014, University of Birmingham ; abstracts book and delegate list - Birmingham: Univ., 2014 . - 2014, S. 10Kongress: IMA Confernece on Numerical Linear Algebra and Optimisation 4 (Birmingham : 2014.09.03-05)
Abstract
Optimale Relaxation der algebraischen Rekonstruktionstechnik für CT
Bannasch, Sebastian; Frysch, Robert; Warnecke, Gerald; Rose, Georg
In: IGIC 2014 - Abstractband - 1st Conference on Image-Guided Interventions, 13. - 14. Oktober 2014, Magdeburg ; [1. Tagung "Image-Guided Interventions"]/ Conference on Image-Guided Interventions - Magdeburg: Univ., 2014; Preim, Bernhard *1969-* . - 2014, S. 25-26Kongress: Conference on Image-Guided Interventions 1 (Magdeburg) ; 2014.10.13-14
Begutachteter Zeitschriftenartikel
Exact Riemann solutions to shallow water equations
Han, Ee; Warnecke, Gerald
In: Quarterly of applied mathematics. - Providence, RI : Brown Univ, insges. 47 S., 2014
Begutachteter Zeitschriftenartikel
Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald
In: Kinetic and related models: KRM - Springfield, Mo: AIMS, Bd. 7.2014, 4, S. 713-737
Begutachteter Zeitschriftenartikel
A note on existence and uniqueness of solutions for a thermodynamically consistent Becker-Döring model
Ssemaganda, Vincent; Warnecke, Gerald
In: Methods and applications of analysis. - Somerville, Mass : International Press, Bd. 21.2014, 2, S. 177-200
Begutachteter Zeitschriftenartikel
Modeling of aggregation kernels for fluidized beds using discrete particle model simulations
Narni, Nageswara Rao; Peglow, Mirko; Warnecke, Gerald; Kumar, Jitendra; Heinrich, Stefan; Kuipers, J. A. M.
In: Particuology - Amsterdam: Elsevier, Bd. 13.2014, S. 134-144
Dissertation
Micro-macro transition from discrete modeling to population balances in spray fluidized bed agglomeration
Hussain, Mubashir; Tsotsas, Evangelos; Warnecke, Gerald
In: Zugl.: Magdeburg, Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2014: Barleben: Docupoint-Verl., XVI, 154 S., Ill., graph. Darst., 21 cm - (Docupoint Wissenschaft; Micro-macro transactions; 13)
2013
Begutachteter Zeitschriftenartikel
Analysis and numerical investigation of two dynamic models for liquid chromatography
Javeed, Shumalia; Qamar, Shamsul; Ashraf, Waqas; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, Bd. 90.2013, S. 17-31
Begutachteter Zeitschriftenartikel
Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms
Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald
In: Mathematical models and methods in applied sciences (M 3 AS). - Singapore [u.a.] : World Scientific, Bd. 23.2013, 7
Begutachteter Zeitschriftenartikel
On the modeling and simulation of a laser-induced cavitation bubble
Zien, Ali; Hantke, Maren; Warnecke, Gerald
In: International journal for numerical methods in fluids - Chichester: Wiley, Bd. 73 (2013), 2, S. 172-203
Begutachteter Zeitschriftenartikel
Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition
Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald
In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, Bd. 71 (2013), S. 509-540
Begutachteter Zeitschriftenartikel
Bubbles in liquids with phase transition. Part 2: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change
Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald
In: Continuum mechanics and thermodynamics - Berlin : Springer, Bd. 26 (2014), Heft 4, S. 521-549
Begutachteter Zeitschriftenartikel
Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds
Nagaiah, Ch.; Suresh Kumar, N.; Bück, Andreas; Warnecke, Gerald
In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 52.2013, S. 122-133
Begutachteter Zeitschriftenartikel
Criteria for nonuniqueness of Riemann solutions to compressible duct flows
Han, Ee; Hantke, Maren; Warnecke, Gerald
In: ZAMM - Berlin : Wiley-VCH, Bd. 93 (2013), Heft 6/7, S. 465-475
Dissertation
The singular coagulation and coagulation-fragmentation equations
Cueto Camejo, Carlos; Warnecke, Gerald
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, VI, 115 S., graph. Darst.
Dissertation
Exact Riemann solutions to two selected resonant hyperbolic systems
Han, Ee; Warnecke, Gerald
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, VI, 162 S., graph. Darst.
Dissertation
Analysis and numerical investigation of dynamic models for liquid chromatography
Javeed, Shumaila; Warnecke, Gerald
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, XV, 138 S., graph. Darst.
Nicht begutachteter Zeitschriftenartikel
Iterative solution of system matrices from computer tomography using discrete time flow methods
Bannasch, Sebastian; Rose, Georg; Warnecke, Gerald
In: Magdeburg: Univ., Fak. für Mathematik, 2013, 12 S. - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2013,11)
2012
Begutachteter Zeitschriftenartikel
Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section
Han, Ee; Hantke, Maren; Warnecke, Gerald
In: Journal of hyperbolic differential equations. - London [u.a.] : World Scientific, Bd. 9.2012, 3, S. 403-449
Begutachteter Zeitschriftenartikel
Bubbles in liquids with phase transition. Part 1: On phase change of a single vapor bubble in liquid water
Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald
In: Continuum mechanics and thermodynamics: analysis of complex materials and judicious evaluation of the environment - Berlin: Springer, Bd. 24.2012, 4/6, S. 461-483
Originalartikel in begutachteter internationaler Zeitschrift
Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport
Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, Gerald
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 9, S. 5276-5291
Originalartikel in begutachteter internationaler Zeitschrift
Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics
Nagaiah, Ch.; Rüdiger, S.; Warnecke, Gerald; Falcke, M.
In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 20, S. 10194-10210
Originalartikel in begutachteter internationaler Zeitschrift
Weak solutions to the continuous coagulation equation with multiple fragmentation
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
In: Nonlinear analysis. - Oxford : Pergamon, Elsevier Science, Bd. 75.2012, 4, S. 2199-2208
Originalartikel in begutachteter internationaler Zeitschrift
Parametric study of thermal effects in reactive liquid chromatography
Javeed, Shumaila; Qamar, Shamsul; Seidel-Morgenstern, Andreas; Warnecke, Gerald
In: Chemical engineering journal - Amsterdam: Elsevier, Bd. 191.2012, S. 426-440
2011
Begutachteter Zeitschriftenartikel
Numerical methods for solving two-dimensional aggregation population balance equations
Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald
In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 35.2011, 6, S. 999-1009
Dissertation
Numerical analysis of finite volume schemes for population balance equations
Kumar, Rajesh; Warnecke, Gerald
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2011, VIII, 134 S., graph. Darst., 30 cm
Originalartikel in begutachteter internationaler Zeitschrift
Weak solutions to the continuous coagulation equation with multiple fragmentation
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, 2011
Originalartikel in begutachteter internationaler Zeitschrift
Uniqueness of steady-state solutions for thermodynamically consistent Becker-Döring models
Ssemaganda, Vincent; Holstein, Katharina; Warnecke, Gerald
In: Journal of mathematical physics. - Melville, NY : American Institute of Physics, Bd. 52.2011, 8, insges. 28 S.
Originalartikel in begutachteter internationaler Zeitschrift
A discontinuous Galerkin method to solve chromatographic models
Javeed, Shumaila; Qamar, Shamsul; Seidel-Morgenstern, Andreas; Warnecke, Gerald
In: Journal of chromatography. - Amsterdam [u.a.] : ElsevierJournal of chromatography / A, Bd. 1218.2011, 40, S. 7137-7146
Originalartikel in begutachteter internationaler Zeitschrift
Uniqueness for the coagulation-fragmentation equation with strong fragmentation
Giri, Ankik Kumar; Warnecke, Gerald
In: Zeitschrift für angewandte Mathematik und Physik. - Basel [u.a.] : Birkhäuser, Bd. 62.2011, 6, S. 1047-1063
2010
Dissertation
Mathematical and numerical analysis for coagulation-fragmentation equations
Giri, Ankik Kumar; Warnecke, Gerald
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010, IV, 151 S., graph. Darst., 30 cm
Dissertation
Numerical methods for multiphase mixture conservation laws with phase transition
Zein, Ali; Warnecke, Gerald; Helluy, Philippe
In: Zugl.: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010: Magdeburg: Docupoint-Verl., XI, 165 S., graph. Darst., 21 cm - (Docupoint Wissenschaft)
Originalartikel in begutachteter internationaler Zeitschrift
A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations
Kumar, Jitendra; Warnecke, Gerald
In: Society for Industrial and Applied Mathematics : SIAM journal on scientific computing . - Philadelphia, Pa. : SIAM, Bd. 32.2010, 2, S. 703-713
Originalartikel in begutachteter internationaler Zeitschrift
Calcium domains around single and clustered IP 3 receptors and their modulation by buffers
Rüdiger, S.; Nagaiah, Ch.; Warnecke, Gerald; Shuai, J. W.
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 99.2010, 1, S. 3-12
Originalartikel in begutachteter internationaler Zeitschrift
Steady states of the 1D Doi-Onsager model in the strong shear flow
Warnecke, Gerald; Zhang, Hui
In: Communications in mathematical sciences . - Somerville, Mass. : International Press, Bd. 8.2010, 3, S. 721-734
Originalartikel in begutachteter internationaler Zeitschrift
The continuous coagulation equation with multiple fragmentation
Giri, Ankik Kumar; Kumara, Jitendra; Warnecke, Gerald
In: Journal of mathematical analysis and applications . - Amsterdam [u.a.] : Elsevier, ISSN 0022-247x, Bd. 374.2010, 1, S. 71-87
Originalartikel in begutachteter internationaler Zeitschrift
Modeling phase transition for compressible two-phase flows applied to metastable liquids
Zein, Ali; Hantke, Maren; Warnecke, Gerald
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 229 (2010), 8, S. 2964-2998
2009
Herausgeberschaft
"Alles was zählt!" - der mathematische Blick
Bräsel, Heidemarie; Christoph, Gerd; Grunau, Hans-Christoph; Henk, Martin; Henning, Herbert; Kahle, Waltraud; Kaibel, Volker; Manteuffel, Karl; Pott, Alexander; Warnecke, Gerald; Willems, Wolfgang
In: Magdeburg: Univ., Fak. für Mathematik, 2009, Getr. Zählung, Ill., 29 cm - (Technical Report; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)
Originalartikel in begutachteter internationaler Zeitschrift
Numerical approximations of a population balance model for coupled batch preferential crystallizers
Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, Andreas; Warnecke, Gerald
In: , Bd. 59.2009, 3/4, S. 739-753
Originalartikel in begutachteter internationaler Zeitschrift
Disintegration process of surface stabilized sol-gel TiO 2 nanoparticles by population balances
Gokhale, Y. P.; Kumar, Rajesh; Kumar, Jitendra; Hintz, Werner; Warnecke, Gerald; Tomas, Jürgen
In: Chemical engineering science - journal internat. de génie chimique - Amsterdam: Elsevier, 1951, Bd. 64.2009, 24, S. 5302-5307
Originalartikel in begutachteter internationaler Zeitschrift
Modeling of the modulation by buffers of Ca 2+ release through clusters of IP 3 receptors
Zeller, S.; Rüdiger, S.; Engel, H.; Sneyd, J.; Warnecke, Gerald; Parker, I.; Falcke, M.
In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 97.2009, 4, S. 992-1002
Originalartikel in begutachteter internationaler Zeitschrift
On the solution of population balances for nucleation, growth, aggregation and breakage processes
Qamar, Shamsul; Warnecke, Gerald; Elsner, Martin Peter
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 9, S. 2088-2095
Originalartikel in begutachteter internationaler Zeitschrift
Local oscillations in finite difference solutions of hyperbolic conservation laws
Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei
In: Mathematics of computation . - Providence, RI : Soc., Bd. 78.2009, 268, S. 1997-2018
2008
Buchbeitrag
A note on sectional and finite volume methods for solving population balance equations
Kumar, Jitendra; Warnecke, Gerald; Peglow, Mirko; Tsotsas, Evangelos
In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 285-297
Buchbeitrag
Population balance modelling for agglomeration and disintegration of nanoparticles
Gokhale, Yashodhan Pramod; Kumar, Jitendra; Hintz, Werner; Warnecke, Gerald; Tomas, Jürgen
In: Micro-macro-interactions - in structured media and particle systems - Berlin : Springer , 2008, S. 299-309
Buchbeitrag
Predigt beim Akademischen Gottesdienst am 23. Januar 2005 in der Wallonerkirche zu Magdeburg
Warnecke, Gerald
In: Predigten der Magdeburger Akademischen Gottesdienste 2001 bis 2007 . - Magdeburg : Univ., Evangel. Hochschulpfarramt, S. 167-176, 2008
Originalartikel in begutachteter internationaler Zeitschrift
Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle
Nagaiah, Chamakuri; Warnecke, Gerald; Heinrich, Stefan; Peglow, Mirko
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, 1977, Bd. 32.2008, 12, S. 2877-2890
Originalartikel in begutachteter internationaler Zeitschrift
Numerical solutions of population balance models in preferential crystallization
Qamar, Shamsul; Ashfaq, A.; Angelov, I.; Elsner, M. P.; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 5, S. 1342-1352
Originalartikel in begutachteter internationaler Zeitschrift
A laplace transformation based technique for reconstructing crystal size distributions regarding size independent growth
Qamar, Shamsul; Warnecke, Gerald; Elsner, Martin Peter; Seidel-Morgenstern, Andreas
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 8, S. 2233-2240
Originalartikel in begutachteter internationaler Zeitschrift
Convergence analysis of sectional methods for solving breakage population balance equations-II - the cell average technique
Kumar, Jitendra; Warnecke, Gerald
In: Numerische Mathematik . - Berlin : Springer, Bd. 110.2008, 4, S. 539-559
Originalartikel in begutachteter internationaler Zeitschrift
An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan
In: Powder technology . - Amsterdam [u.a.] : Elsevier, Bd. 182.2008, 1, S. 81-104
Originalartikel in begutachteter internationaler Zeitschrift
Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods
Nagaiah, Ch.; Rüdiger, S.; Warnecke, Gerald; Falcke, M.
In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 58.2008, 11, S. 1658-1674
Originalartikel in begutachteter internationaler Zeitschrift
Convergence analysis of sectional methods for solving breakage population balance equations-I - the fixed pivot technique
Kumar, Jitendra; Warnecke, Gerald
In: Numerische Mathematik . - Berlin : Springer, Bd. 111.2008, 1, S. 81-108
Originalartikel in begutachteter internationaler Zeitschrift
The cell average technique for solving multi-dimensional aggregation population balance equations
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, 1977, Bd. 32.2008, 8, S. 1810-1830
Originalartikel in begutachteter internationaler Zeitschrift
Analytical and numerical investigations of a batch crystallization model
Qamar, Shamsul; Warnecke, Gerald
In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 222.2008, 2, S. 715-731
2007
Buchbeitrag
Numerical methods on population balances
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Tsotsas, Evangelos; Mörl, Lothar; Hounslow, Mike; Reynolds, Gavin
In: Modern drying technology. Vol. 1: Computational tools at different scales, Tsotsas, Evangelos *1959-* - Weinheim: Wiley-VCH . - 2007, S. 209-260
Originalartikel in begutachteter internationaler Zeitschrift
Study on a cross diffusion parabolic system
Chen, Li; Hsiao, Ling; Warnecke, Gerald
In: Acta mathematicae applicatae sinica / English series - Berlin: Springer, Bd. 23 (2007), 1, S. 9-28
Originalartikel in begutachteter internationaler Zeitschrift
Numerical solution of population balance equations for nucleation, growth and aggregation processes
Qamar, Shamsul; Warnecke, Gerald
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31 (2007), 12, S. 1576-1589
Originalartikel in begutachteter internationaler Zeitschrift
Adaptive high-resolution schemes for multidimensional population balances in crystallization processes
Qamar, Shamsul; Ashfaq, Azhar; Warnecke, Gerald; Angelov, I.; Elsner, M. P.; Seidel-Morgenstern, Andreas
In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31 (2007), 10, S. 1296-1311
Originalartikel in begutachteter internationaler Zeitschrift
Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system
Medviďová-Lukáčová, Mária; warnecke, Gerald; Zahaykah, Yousef
In: Applied numerical mathematics: transactions of IMACS / International Association for Mathematics and Computers in Simulation - Amsterdam [u.a.]: North-Holland Publ. Co., Bd. 57 (2007), 9, S. 1050-1064
Originalartikel in begutachteter internationaler Zeitschrift
On convergence of a domain decomposition method for a scalar convervation law
Tang, Huazhong; Warnecke, Gerald
In: SIAM journal on numerical analysis . - Philadelphia, Pa. : SIAM, Bd. 45.2007, 4, S. 1453-1471
Originalartikel in begutachteter internationaler Zeitschrift
An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan
In: Powder technology: an international journal on the science and technology of wet and dry particulate systems - Amsterdam [u.a.]: Elsevier, Bd. 179 (2007), S. 205-228
Originalartikel in begutachteter internationaler Zeitschrift
On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system
Medviďová-Lukáčová, Mária; Warnecke, Gerald; Zahaykah, Yousef
In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: SIAM, Bd. 44 (2007), 4, S. 1556-1583
Originalartikel in begutachteter internationaler Zeitschrift
A high-resolution space-time conservative method for non-linear hyperbolic conservation laws
Qurrat-Ul-Ain,; Qamar, Shamsul; Warnecke, Gerald
In: International journal of computational methods - Singapore [u.a.]: World Scientific Publishing, Bd. 4 (2007), 2, S. 223-247
Originalartikel in begutachteter internationaler Zeitschrift
Hybrid stochastic and deterministic simulations of calcium blips
Rüdiger, S.; Shuai, J. W.; Huisinga, W.; Nagaiah, Chamakuri; Warnecke, Gerald; Parker, I.; Falcke, M.
In: Biophysical journal: BJ / ed. by the Biophysical Society - Bethesda, Md.: Biophysical Soc., Bd. 93 (2007), 6, S. 1847-1857
2006
Anderes Material
Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
Qamar, Shamsul; Warnecke, Gerald
In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 196.2006, 1, S. 132-149; Abstract
Buchbeitrag
A population balance model for simulationeous drying and agglomeration
Peglow, Mirko; Kumar, Jitendra; Tsotsas, Evangelos; Heinrich, Stefan; Warnecke, Gerald; Mörl, Lothar
In: Drying 2006 - Gödöllő: Univ., S. 219-226Kongress: International Drying Symposium 15 (Budapest, Hungary : 2006.08.20-23
Buchbeitrag
A high order gas kinetic method for the relativistic Euler equations
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: Hyperbolic problems: theory, numerics and applications; Vol. 2: . - Yokohoma : Yokohama Publ., ISBN 4-946552-22-7, S. 141-148, 2006Kongress: Hyp2004; 10 (Osaka) : 2004.09.13-17International Conference on Hyperbolic Problems; 10 (Osaka) : 2004.09.13-17
Originalartikel in begutachteter internationaler Zeitschrift
A comparative study of high resolution schemes for solving population balances in crystallization
Qamar, Shamsul; Elsner, M. P.; Angelov, I. A.; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 6/7, S. 1119-1131; Abstract
Originalartikel in begutachteter internationaler Zeitschrift
Numerical simulation of dendritic crystal growth
Müller, Rüdiger; Warnecke, Gerald
In: Proceedings in applied mathematics and mechanics: PAMM - Weinheim [u.a.]: Wiley-VCH, Bd. 6 (2006), 1, S. 751-752
Originalartikel in begutachteter internationaler Zeitschrift
High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids
Tang, Hua-Zhong; Warnecke, Gerald
In: Journal of computational mathematics: an international journal on numerical methods, analysis and applications - Beijing: Chinese Acad. of Mathematics and System Sciences, Bd. 24 (2006), 2, S. 121-140
Originalartikel in begutachteter internationaler Zeitschrift
Numerical simulation of temperature and concentration distributions in fluidized beds with liquid injection
Nagaiah, Chamakuri; Warnecke, Gerald; Heinrich, Stefan; Peglow, Mirko
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 6, S. 1567-1590, 2006
Originalartikel in begutachteter internationaler Zeitschrift
Solving population balance equations for two-component aggregation by a finite volume scheme
Qamar, Shamsul; Warnecke, Gerald
In: Chemical engineering science - Amsterdam: Elsevier, Bd. 62 (2007), 3, S. 679-693, 2006
Originalartikel in begutachteter internationaler Zeitschrift
A direct Eulerian GRP scheme for compressible fluid flows
Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald
In: Journal of computational physics - Amsterdam: Elsevier, Bd. 218 (2006), 1, S. 19-43
Originalartikel in begutachteter internationaler Zeitschrift
A generic population balance model for simultaneous agglomeration and drying in fluidized beds
Peglow, Mirko; Kumar, Jitendra; Heinrich, Stefan; Warnecke, Gerald; Tsotsas, Evangelos; Mörl, Lothar; Wolf, Bertram
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 1/2, S. 513-532, 2006
Originalartikel in begutachteter internationaler Zeitschrift
Partioning methods for reaction-diffusion problems
Heineken, Wolfram; Warnecke, Gerald
In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 56.2006, 7, S. 981-1000; Abstract
Originalartikel in begutachteter internationaler Zeitschrift
A discretized model for tracer population balance equation - improved accuracy and convergence
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar
In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 8, S. 1278-1292; Abstract
Originalartikel in begutachteter internationaler Zeitschrift
Improved accuracy and convergence of discretized population balance for aggregation - the cell average technique
Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar
In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 61.2006, 10, S. 3327-3342
Originalartikel in begutachteter internationaler Zeitschrift
An improved discretized tracer mass distribution of Hounslow et al.
Peglow, Mirko; Kumar, Jitendra; Warnecke, Gerald; Heinrich, Stefan; Tsotsas, Evangelos; Mörl, Lothar
In: AIChE journal - Hoboken, NJ: Wiley, Bd. 52.2006, 4, S. 1326-1332
Originalartikel in begutachteter internationaler Zeitschrift
A space-time conservative method for hyperbolic systems with stiff and non stiff source terms
Qamar, Shamsul; Warnecke, Gerald
In: Communications in computational physics . - Wanchai : Global Science Press, Bd. 1.2006, 3, S. 451-480
Originalartikel in begutachteter internationaler Zeitschrift
A new technique to determine rate constants for growth and agglomeration with size- and time-dependent nuclei formation
Peglow, Mirko; Kumar, Jitendra; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar
In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 61.2006, 1, S. 282-292
2005
Buchbeitrag
A space-time conservative finite volume scheme for hyperbolic conservation laws.
Ain, Qurrat-Ul; Qamar, Shamsul; Warnecke, Gerald
In: Benkhaldoun, Fayssal (Hrsg.) ; Quazar, Driss (Hrsg.) ; Raghay, Said (Hrsg.): Finite volumes for complex applications IV. London [u.a.] : Hermes Science Publ., 2005, S. 459 - 470
Artikel in Kongressband
High resolution schemes for solving population balances in crystallization.
Qamar, Shamsul; Elsner, M.P.; Angelov, Angel; Warnecke, Gerald; Seidel-Morgenstern, Andreas
In: L'Ôcole Nationale de l'Industrie Minérale (Veranst.): D'Analyse numerique et optimisation, JAN 08(8. journées, Rabat, 14 au 16 Decembre, 2005). - actes. Rabat, 2005, S. 442 - 447
Originalartikel in begutachteter internationaler Zeitschrift
A BGK-type flux-vector splitting scheme for the ultrarelativistic euler equations.
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 196 - 223
Originalartikel in begutachteter internationaler Zeitschrift
A reduction of the Boltzmann-Peierls equation.
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: International journal of computational methods [Singapore] 2(2005), Nr. 2, S. 213 - 229
Originalartikel in begutachteter internationaler Zeitschrift
A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids.
Tang, Huazhong; Warnecke, Gerald
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2005), Nr. 4, S. 1415 - 1431
Originalartikel in begutachteter internationaler Zeitschrift
A high order kinetic Flux-splitting method for the special relativistic hydrodynamics.
Qamar, Shamsul; Warnecke, Gerald
In: International journal of computational methods [Singapore] 2(2005), Nr. 1, S. 49 - 74
Originalartikel in begutachteter internationaler Zeitschrift
A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics.
Qamar, Shamsul; Warnecke, Gerald
In: Journal of computational physics [Orlando, Fl.] 205(2005), S. 182 - 204
Originalartikel in begutachteter internationaler Zeitschrift
A Runge-Kutta discontinuous galerkin method for the euler equations.
Tang, Huazhong; Warnecke, Gerald
In: Computers & fluids : an international journal [New York, NY] 34(2005), S. 375 - 398
2004
Originalartikel in begutachteter internationaler Zeitschrift
The Riemann problem for the Baer-Nunziato two-phase flow model.
Andrianov, Nikolai; Warnecke, Gerald
In: Journal of computational physics [Orlando, Fl.] 195(2004), S. 434 - 464
Originalartikel in begutachteter internationaler Zeitschrift
Finite volume evolution Galerkin methods for hyperbolic systems.
Lukacoava-Medvidova, M.; Morton, K.W.; Warnecke, Gerald
In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 1 - 30
Originalartikel in begutachteter internationaler Zeitschrift
Asymptotic stability of traveling waves for viscous consservation laws with dispersion.
Pan, Jun; Warnecke, Gerald
In: Advances in differential equations [Athens, Ohio] 9(2004), Nr. 9/10, S. 1167 - 1184
Originalartikel in begutachteter internationaler Zeitschrift
On the boundary conditions for EG methods applied to the two-dimensional wave equation system.
Lukacova-Medvid'ova, M.; Warnecke, Gerald; Zahaykah, Yousef
In: Zeitschrift für angewandte Mathematik und Mechanik : ZAMM [Berlin] 84(2004), Nr. 4, S. 237 - 251
Originalartikel in begutachteter internationaler Zeitschrift
Kinetic schemes for the relativistic gas dynamics.
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: Numerische Mathematik [Berlin] 97(2004), S. 159 - 191
Originalartikel in begutachteter internationaler Zeitschrift
On evolution galerkin methods for the maxwell and the linearized Euler equations.
Kunik, Matthias; Rang, Joachim; Warnecke, Gerald; Zahaykah, Yousef
In: Applications of mathematics [Praha] 49(2004), Nr. 5, S. 415 - 439
Originalartikel in begutachteter internationaler Zeitschrift
A note on (2K+1)-point conservative monotone schemes.
Tang, Huazhong; Warnecke, Gerald
In: Mathematical modelling and numerical analysis [Les Ulis] 38(2004), Nr. 2, S. 345 - 357
Originalartikel in begutachteter internationaler Zeitschrift
A note on (2k + 1)-point conservative monotone schemes.
Huazhong, Tang; Warnecke, Gerald
In: RAIRO /AFCET, Mathematical modelling and numerical analysis [Paris] 38(2004), Nr. 2, S. 345 - 357
Originalartikel in begutachteter internationaler Zeitschrift
On the solution to the Riemann problem for the compressible duct flow.
Andrianov, Nikolai; Warnecke, Gerald
In: Siam journal on applied mathematics [Philadelphia] 64(2004), Nr. 3, S. 878 - 901
Originalartikel in begutachteter internationaler Zeitschrift
Simulation of multicomponent flows using high order central schemes.
Qamar, Shamsul; Warnecke, Gerald
In: Applied numerical mathematics [Amsterdam] 50(2004), S. 183 - 201
2003
Buchbeitrag
Introduction.
Greven, Andreas; Keller, Gerhard; Warnecke, Gerald
In: Greven, Andreas (Hrsg.) ; Keller, Gerhard (Hrsg.) ; Warnecke, Gerald (Hrsg.): Entropy. Princeton [u.a.] : Princeton Univ. Press, 2003, S. 1 - 16 (Princeton series in applied mathematics)
Buchbeitrag
The Riemann problem for a two-phase model.
Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald
In: Hou, Thomas Y. (Hrsg.) ; Tadmor, Eitan (Hrsg.): Hyperbolic problems : theory, numerics, applications (9th international conference Pasadena, Calif. March 25-29 2002). - proceedings. Berlin [u.a.] : Springer, 2003, S. 275 - 284
Originalartikel in begutachteter internationaler Zeitschrift
Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system.
Li, Jiequan; Lukacova-Medvidova, Maria; Warnecke, Gerald
In: Discrete and continuous dynamical systems [Springfield, Mo.] 9(2003), Nr. 3, S. 559 - 576
Originalartikel in begutachteter internationaler Zeitschrift
Kinetic schemes for the ultra-relativistic Euler equations.
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: Journal of computational physics [Orlando, Fl.] 187(2003), S. 572 - 596
Originalartikel in begutachteter internationaler Zeitschrift
Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.
Kunik, Matthias; Warnecke, Gerald; Zahaykah, Yousef
In: Journal of numerical mathematics [Utrecht] 11(2003), Nr. 3, S. 235 - 251
Originalartikel in begutachteter internationaler Zeitschrift
Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. , S. 695 - 726
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
In: Journal of computational physics [Orlando, Fl.] 192(2003)
Originalartikel in begutachteter internationaler Zeitschrift
Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
Li, Jiequan; Warnecke, Gerald
In: Advances in differential equations [Athens, Ohio] 8(2003), Nr. 8, S. 961 - 1004
Originalartikel in begutachteter internationaler Zeitschrift
Existence and uniqueness of solutions for a non-uniformly parabolic equation.
Wang, Jinghua; Warnecke, Gerald
In: Journal of differential equations [Orlando, Florida] 189(2003), S. 1 - 16
Originalartikel in begutachteter internationaler Zeitschrift
A simple method for compressible multiphase mixtures and interfaces.
Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald
In: International journal for numerical methods in fluids [Chichester] 41(2003), S. 109 - 131
2002
Originalartikel in begutachteter internationaler Zeitschrift
Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
Lukacova-Medvid'ova, M.; Saibertova, J.; Warnecke, Gerald
In: Journal of computational physics [Orlando, Fl.] 183(2002), S. 533 - 562
Originalartikel in begutachteter internationaler Zeitschrift
On measure solutions to the zero-pressure gas model and their uniqueness.
Li, Jiequan; Warnecke, Gerald
In: Mathematica bohemica [Praha] 127(2002), Nr. 2, S. 265 - 273
Originalartikel in begutachteter internationaler Zeitschrift
Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
Huang, Jinyang; Wang, Jinghua; Warnecke, Gerald
In: Numerische Mathematik [Berlin] 91(2002), S. 13 - 34
2001
Buchbeitrag
Finite volume evolution galerkin methods for multidimensional hyperbolic systems.
Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald
In: Toro, E. F. (Hrsg.): Godunov Methods : theory and applications. New York : Kluwer Academic, 2001, S. 571 - 576
Buchbeitrag
Unconditionally stable explicit schemes for the approximation of conservation laws.
Helzel, Christiane; Warnecke, Gerald
In: Fiedler, Bernold (Hrsg.): Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin : Springer, 2001, S. 775 - 803
Originalartikel in begutachteter internationaler Zeitschrift
Convergence rates to discrete shocks for nonconvex conservation laws.
Hailiang Liu,; Wang, Jinghua; Warnecke, Gerald
In: Numerische Mathematik [Berlin] 88(2001), Nr. 3, S. 513 - 541
Originalartikel in begutachteter internationaler Zeitschrift
Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation.
Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald
In: Journal of computational and applied mathematics [Amsterdam] 134(2001), S. 343 - 367
Originalartikel in begutachteter internationaler Zeitschrift
Adaption and reliability of numerical methods for stiff and nonstiff problems in CFD.
Warnecke, Gerald
In: Computational fluid dynamics journal [Tokyo] 9(2001), Nr. 1, S. 540 - 548
2000
Buchbeitrag
Initial effects and convergence rates for relaxation methods.
Hailiang, Liu; Warnecke, Gerald
In: Fiedler, Bernold (Hrsg.) ; ... (Hrsg.): EQUADIFF '99 (international conference on Differential Equations, Berlin 1. - 7. August 1999). vol. 1. - proceedings. Singapore : World Scientific, 2000, S. 301 - 307
Buchbeitrag
Adaptive numerics for the simulation of magneto-plasmadynamic rocket thrusters.
Iben, Uwe; Warnecke, Gerald; Heiermann, J.; Auweter-Kurtz, M.
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH '99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 121 - 130
Buchbeitrag
Evolution Galerkin methods for multidimensional hyperbolic systems.
Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald
In: Computational methods in applied sciences and engineering, ECCOMAS 2000 (European congress Barcelona, 11-14 September 2000). - proceedings. Barcelona : CIMNE, 2000, [14 S.]
Buchbeitrag
High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws.
Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald
In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH '99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 633 - 640
Artikel in Kongressband
Numerical schemes based on bicharacteristics for hyperbolic systems.
Lukacova-Medvidova, Maria; Warnecke, Gerald; Zahaykah, Yousef
In: CIMASI' 2000 (Third international conference on applied mathematics and engineering sciences Casablanca, Marocco October 23- 24 -24, 2000). Casablanca, 2000, Beitrag auf CD- ROM, [6 S.]
Originalartikel in begutachteter internationaler Zeitschrift
Convergence rates for relaxation schemes approximating conservation laws.
Liu, Hailiang; Warnecke, Gerald
In: SIAM journal on numerical analysis [Philadelphia] 37(2000), Nr. 4, S. 1316 - 1337
Originalartikel in begutachteter internationaler Zeitschrift
Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems.
Kunik, Matthias; Warnecke, Gerald
In: East-west journal of numerical mathematics [Zeist] 8(2000), Nr. 2, S. 127 - 152
Originalartikel in begutachteter internationaler Zeitschrift
The LIP+ - stability and error estimates for a relaxation scheme.
Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald
In: SIAM journal on numerical analysis [Philadelphia] 38(2000), Nr. 4, S. 1154 - 1170
Originalartikel in begutachteter internationaler Zeitschrift
Evolution galerkin methods for hyperbolic systems in two space dimensions.
Kunik, Matthias; Morton, K.W.; Warnecke, Gerald
In: Mathematics of computation [Washington, DC] 69(2000), Nr. 232, S. 1355 - 1384