Edit Profile (opens in new tab) Warnecke, Gerald G. Co-Author Distance Author ID: warnecke.gerald-g Published as: Warnecke, Gerald; Warnecke, G.; Warnecke, Gerald G. more...less Homepage: https://www.math.ovgu.de/warnecke.html External Links: MGP Documents Indexed: 115 Publications since 1985, including 2 Books 4 Contributions as Editor Reviewing Activity: 229 Reviews Co-Authors: 66 Co-Authors with 112 Joint Publications 1,628 Co-Co-Authors all top 5 Co-Authors 7 single-authored 17 Lukáčová-Medviďová, Mária 17 Qamar, Shamsul 11 Hantke, Maren 8 Kunik, Matthias 8 Wang, Jinghua 7 Kumar, Jitendra 7 Liu, Hailiang 7 Morton, Keith William 6 Li, Jiequan 6 Tang, Huazhong 5 Zahaykah, Yousef 4 Andrianov, Nikolai 4 Falcke, Martin 4 Matern, Christoph 4 Ssemaganda, Vincent 4 Wendland, Wolfgang L. 3 Berger, Harald 3 Dreyer, Wolfgang 3 Giri, Ankik Kumar 3 Göhner, Uli 3 Han, Ee 3 Nagaiah, Chamakuri 3 Rüdiger, Sten 2 Camejo, Carlos Cueto 2 Felcman, Jiří 2 Greven, Andreas 2 Gröpler, Robin 2 Helzel, Christiane 2 Keller, Gerhard 2 Kumar, Rajesh 2 Qurrat-ul-Ain 2 Saibertová, Jitka 2 Saurel, Richard 2 Süli, Endre E. 2 Yaghi, Hazem 2 Zein, Ali 1 Achchab, Boujemaa 1 Auweter-Kurtz, Monika 1 Badenjki, Abdulatif 1 Ben-Artzi, Matania 1 Benjouad, Abdelghani 1 Chamakuri, Nagaiah 1 Chen, Li 1 Duderstadt, Frank 1 El Fatini, Mohamed 1 Elsner, M. P. 1 Feistauer, Miloslav 1 Freistühler, Heinrich 1 Heiermann, Jörg 1 Heineken, Wolfram 1 Holstein, Katharina 1 Houston, Paul 1 Hsiao, Ling 1 Huang, Jinyang 1 Iben, Uwe 1 Keyfitz, Barbara Lee 1 Laurençot, Philippe 1 LeVeque, Randall J. 1 Neubert, Wilhelm 1 Pan, Jun 1 Seidel-Morgenstern, Andreas 1 Sonar, Thomas 1 Souissi, Ali 1 Vierheller, Janine 1 Zhang, Hui 1 Zhang, Lumei all top 5 Serials 8 Numerische Mathematik 7 Journal of Computational Physics 7 SIAM Journal on Numerical Analysis 6 SIAM Journal on Scientific Computing 5 Applied Numerical Mathematics 4 Journal of Computational and Applied Mathematics 4 Quarterly of Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Computational Methods 2 Applied Mathematics and Computation 2 Applications of Mathematics 2 Continuum Mechanics and Thermodynamics 2 Methods and Applications of Analysis 2 Advances in Differential Equations 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Mathematica Bohemica 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 East-West Journal of Numerical Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Analysis 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Oberwolfach Reports 1 ISNM. International Series of Numerical Mathematics 1 Teubner-Texte zur Mathematik 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Princeton Series in Applied Mathematics all top 5 Fields 65 Partial differential equations (35-XX) 65 Numerical analysis (65-XX) 55 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,092 times in 765 Documents Cited by ▼ Year ▼ The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414 Andrianov, Nikolai; Warnecke, Gerald 114 2004 A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375 Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald 75 2006 Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079 Zein, Ali; Hantke, Maren; Warnecke, Gerald 63 2010 On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191 Andrianov, Nikolai; Warnecke, Gerald 44 2004 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096 Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 37 1999 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105 Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 34 2000 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076 Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 31 2000 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098 Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 29 1999 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562 Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 24 2004 Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 24 2003 Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Zbl 1269.65137 Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 23 2013 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178 Han, Ee; Hantke, Maren; Warnecke, Gerald 23 2012 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017 Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 22 2012 Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 22 2004 A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025 Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald 21 2003 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536 Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 20 2002 The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106 Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald 20 2011 Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381 Kumar, Jitendra; Warnecke, Gerald 19 2008 Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. Zbl 1277.80009 Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald 19 2013 Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146 Kumar, Jitendra; Warnecke, Gerald 18 2008 The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037 Keyfitz, Barbara Lee; Warnecke, Gerald G. 18 1991 Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385 Qamar, Shamsul; Warnecke, Gerald 15 2006 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 15 2002 Bubbles in liquids with phase transition. Zbl 1258.76160 Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald 15 2012 Finite elements for transonic potential flows. Zbl 0692.76061 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 15 1990 Exact Riemann solutions to shallow water equations. Zbl 1298.76047 Han, Ee; Warnecke, Gerald 15 2014 Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072 Li, Jiequan; Warnecke, Gerald 13 2003 Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 13 2003 A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090 Qamar, Shamsul; Warnecke, Gerald 13 2005 Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations. Zbl 1316.65116 Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 12 2014 A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044 Tang, Huazhong; Warnecke, Gerald 12 2005 Entropy. Zbl 1187.00001 11 2003 A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 11 2004 Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108 Liu, Hailiang; Warnecke, Gerald 11 2000 Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006 Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald 10 2015 High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071 Tang, Huazhong; Warnecke, Gerald 10 2006 The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012 Camejo, Carlos Cueto; Warnecke, Gerald 9 2015 On the modeling and simulation of a laser-induced cavitation bubble. Zbl 1455.76195 Zein, Ali; Hantke, Maren; Warnecke, Gerald 9 2013 Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048 Wang, Jinghua; Warnecke, Gerald 9 2003 Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169 Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei 8 2009 Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008 Giri, Ankik Kumar; Warnecke, Gerald 7 2011 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079 Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 7 2006 A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. Zbl 1079.65092 Tang, Huazhong; Warnecke, Gerald 7 2005 Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 7 1997 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104 Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088 Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 6 2004 The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. Zbl 1440.35209 Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald 6 2020 A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371 Qamar, Shamsul; Warnecke, Gerald 5 2005 Partitioning methods for reaction-diffusion problems. Zbl 1105.65100 Heineken, Wolfram; Warnecke, Gerald 5 2006 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112 Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq type). Zbl 0638.35024 Warnecke, Gerald 4 1987 Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090 Pan, Jun; Warnecke, Gerald 4 2004 Numerical approximations of a population balance model for coupled batch preferential crystallizers. Zbl 1167.82020 Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, A.; Warnecke, G. 4 2009 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067 Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 4 2003 Analytic methods in the theory of conservation laws. (Analytische Methoden in der Theorie der Erhaltungsgleichungen.) Zbl 0947.35005 Warnecke, Gerald 4 1999 Criteria for nonuniqueness of Riemann solutions to compressible duct flows. Zbl 1277.76091 Han, Ee; Hantke, Maren; Warnecke, Gerald 4 2013 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093 Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031 Warnecke, Gerald 3 1990 Convergence of relaxing schemes for conservation laws. Zbl 0933.35132 Wang, Jinghua; Warnecke, Gerald 3 1998 A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066 Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 3 1994 Adaptive computational methods for gas flow. Zbl 0963.76555 Felcman, Jiří; Warnecke, Gerald 3 1996 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095 Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 3 1999 Analysis and numerics for conservation laws. Zbl 1066.76006 3 2005 Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034 Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 3 2008 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113 Tang, Huazhong; Warnecke, Gerald 3 2004 The lip\(^{+}\)-stability and error estimates for a relaxation scheme. Zbl 0980.35102 Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald 3 2000 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport. Zbl 1244.65129 Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, G. 3 2012 A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations. Zbl 1211.45009 Kumar, Jitendra; Warnecke, Gerald 3 2010 A high order positivity preserving DG method for coagulation-fragmentation equations. Zbl 1426.65146 Liu, Hailiang; Gröpler, Robin; Warnecke, Gerald 3 2019 Introduction (to Entropy). Combined references Index. Zbl 1163.00315 Greven, Andreas; Keller, Gerhard; Warnecke, Gerald 2 2003 Bubbles in liquids with phase transition. II: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change. Zbl 1341.76032 Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald 2 2014 Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2003 Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516 Qamar, Shamsul; Warnecke, Gerald 2 2004 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq equation type). Zbl 0594.35086 Warnecke, Gerald 2 1985 A new method to discretize a model for isothermal flow with a multi-component equation of state. Zbl 1503.76065 Hantke, Maren; Matern, Christoph; Warnecke, Gerald; Yaghi, Hazem 2 2023 Radially symmetric solutions of the ultra-relativistic Euler equations. Zbl 1526.35267 Kunik, Matthias; Liu, Hailiang; Warnecke, Gerald 2 2021 A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2005 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090 Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161 Sonar, Thomas; Warnecke, Gerald 2 1998 Coupling of FEM and BEM for transonic flows. Zbl 0835.76043 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 2 1994 Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics. Zbl 1246.65017 Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 2 2012 On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083 Wang, Jinghua; Warnecke, Gerald 1 1993 On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084 Wang, Jinghua; Warnecke, Gerald 1 1993 On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076 Tang, Huazhong; Warnecke, Gerald 1 2007 Analytical and numerical investigations of a batch crystallization model. Zbl 1214.82115 Qamar, Shamsul; Warnecke, Gerald 1 2008 Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093 Helzel, Christiane; Warnecke, Gerald 1 2001 A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041 Göhner, Uli; Warnecke, Gerald 1 1995 Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049 Ssemaganda, Vincent; Warnecke, Gerald 1 2013 A shock indicator for adaptive transonic flow computations. Zbl 0796.76051 Göhner, Uli; Warnecke, Gerald 1 1994 A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084 Qamar, S.; Warnecke, G. 1 2006 Hyperbolic problems: Theory, numerics, applications. Proceedings of the 8th international conference, Magdeburg, Germany, February 27–March 3, 2000. In 2 vol. Dedicated to Prof. Constantine Dafermos on the occasion of his 60th birthday. Zbl 1009.76003 1 2001 Numerical solutions for a weakly hyperbolic dispersed two-phase flow model. Zbl 1405.76034 Hantke, Maren; Matern, Christoph; Warnecke, Gerald 1 2018 A new method to discretize a model for isothermal flow with a multi-component equation of state. Zbl 1503.76065 Hantke, Maren; Matern, Christoph; Warnecke, Gerald; Yaghi, Hazem 2 2023 Radially symmetric solutions of the ultra-relativistic Euler equations. Zbl 1526.35267 Kunik, Matthias; Liu, Hailiang; Warnecke, Gerald 2 2021 The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. Zbl 1440.35209 Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald 6 2020 A high order positivity preserving DG method for coagulation-fragmentation equations. Zbl 1426.65146 Liu, Hailiang; Gröpler, Robin; Warnecke, Gerald 3 2019 Numerical solutions for a weakly hyperbolic dispersed two-phase flow model. Zbl 1405.76034 Hantke, Maren; Matern, Christoph; Warnecke, Gerald 1 2018 Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006 Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald 10 2015 The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012 Camejo, Carlos Cueto; Warnecke, Gerald 9 2015 Exact Riemann solutions to shallow water equations. Zbl 1298.76047 Han, Ee; Warnecke, Gerald 15 2014 Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations. Zbl 1316.65116 Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 12 2014 Bubbles in liquids with phase transition. II: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change. Zbl 1341.76032 Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald 2 2014 Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Zbl 1269.65137 Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 23 2013 Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. Zbl 1277.80009 Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald 19 2013 On the modeling and simulation of a laser-induced cavitation bubble. Zbl 1455.76195 Zein, Ali; Hantke, Maren; Warnecke, Gerald 9 2013 Criteria for nonuniqueness of Riemann solutions to compressible duct flows. Zbl 1277.76091 Han, Ee; Hantke, Maren; Warnecke, Gerald 4 2013 Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049 Ssemaganda, Vincent; Warnecke, Gerald 1 2013 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178 Han, Ee; Hantke, Maren; Warnecke, Gerald 23 2012 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017 Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 22 2012 Bubbles in liquids with phase transition. Zbl 1258.76160 Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald 15 2012 Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport. Zbl 1244.65129 Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, G. 3 2012 Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics. Zbl 1246.65017 Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 2 2012 The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106 Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald 20 2011 Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008 Giri, Ankik Kumar; Warnecke, Gerald 7 2011 Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079 Zein, Ali; Hantke, Maren; Warnecke, Gerald 63 2010 A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations. Zbl 1211.45009 Kumar, Jitendra; Warnecke, Gerald 3 2010 Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169 Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei 8 2009 Numerical approximations of a population balance model for coupled batch preferential crystallizers. Zbl 1167.82020 Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, A.; Warnecke, G. 4 2009 Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381 Kumar, Jitendra; Warnecke, Gerald 19 2008 Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146 Kumar, Jitendra; Warnecke, Gerald 18 2008 Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034 Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 3 2008 Analytical and numerical investigations of a batch crystallization model. Zbl 1214.82115 Qamar, Shamsul; Warnecke, Gerald 1 2008 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093 Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076 Tang, Huazhong; Warnecke, Gerald 1 2007 A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375 Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald 75 2006 Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385 Qamar, Shamsul; Warnecke, Gerald 15 2006 High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071 Tang, Huazhong; Warnecke, Gerald 10 2006 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079 Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 7 2006 Partitioning methods for reaction-diffusion problems. Zbl 1105.65100 Heineken, Wolfram; Warnecke, Gerald 5 2006 A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084 Qamar, S.; Warnecke, G. 1 2006 A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090 Qamar, Shamsul; Warnecke, Gerald 13 2005 A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044 Tang, Huazhong; Warnecke, Gerald 12 2005 A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. Zbl 1079.65092 Tang, Huazhong; Warnecke, Gerald 7 2005 A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371 Qamar, Shamsul; Warnecke, Gerald 5 2005 Analysis and numerics for conservation laws. Zbl 1066.76006 3 2005 A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2005 The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414 Andrianov, Nikolai; Warnecke, Gerald 114 2004 On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191 Andrianov, Nikolai; Warnecke, Gerald 44 2004 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562 Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 24 2004 Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 22 2004 A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 11 2004 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088 Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 6 2004 Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090 Pan, Jun; Warnecke, Gerald 4 2004 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095 Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113 Tang, Huazhong; Warnecke, Gerald 3 2004 Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516 Qamar, Shamsul; Warnecke, Gerald 2 2004 Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 24 2003 A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025 Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald 21 2003 Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072 Li, Jiequan; Warnecke, Gerald 13 2003 Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 13 2003 Entropy. Zbl 1187.00001 11 2003 Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048 Wang, Jinghua; Warnecke, Gerald 9 2003 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112 Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067 Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 4 2003 Introduction (to Entropy). Combined references Index. Zbl 1163.00315 Greven, Andreas; Keller, Gerhard; Warnecke, Gerald 2 2003 Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338 Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2003 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536 Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 20 2002 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 15 2002 Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093 Helzel, Christiane; Warnecke, Gerald 1 2001 Hyperbolic problems: Theory, numerics, applications. Proceedings of the 8th international conference, Magdeburg, Germany, February 27–March 3, 2000. In 2 vol. Dedicated to Prof. Constantine Dafermos on the occasion of his 60th birthday. Zbl 1009.76003 1 2001 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105 Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 34 2000 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076 Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 31 2000 Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108 Liu, Hailiang; Warnecke, Gerald 11 2000 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104 Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 The lip\(^{+}\)-stability and error estimates for a relaxation scheme. Zbl 0980.35102 Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald 3 2000 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090 Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096 Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 37 1999 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098 Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 29 1999 Analytic methods in the theory of conservation laws. (Analytische Methoden in der Theorie der Erhaltungsgleichungen.) Zbl 0947.35005 Warnecke, Gerald 4 1999 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 3 1999 Convergence of relaxing schemes for conservation laws. Zbl 0933.35132 Wang, Jinghua; Warnecke, Gerald 3 1998 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070 Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161 Sonar, Thomas; Warnecke, Gerald 2 1998 Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 7 1997 Adaptive computational methods for gas flow. Zbl 0963.76555 Felcman, Jiří; Warnecke, Gerald 3 1996 A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041 Göhner, Uli; Warnecke, Gerald 1 1995 A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066 Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 3 1994 Coupling of FEM and BEM for transonic flows. Zbl 0835.76043 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 2 1994 A shock indicator for adaptive transonic flow computations. Zbl 0796.76051 Göhner, Uli; Warnecke, Gerald 1 1994 On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083 Wang, Jinghua; Warnecke, Gerald 1 1993 On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084 Wang, Jinghua; Warnecke, Gerald 1 1993 The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037 Keyfitz, Barbara Lee; Warnecke, Gerald G. 18 1991 Finite elements for transonic potential flows. Zbl 0692.76061 Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 15 1990 Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031 Warnecke, Gerald 3 1990 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq type). Zbl 0638.35024 Warnecke, Gerald 4 1987 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq equation type). Zbl 0594.35086 Warnecke, Gerald 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 1,041 Authors 40 Warnecke, Gerald G. 34 Dumbser, Michael 32 Li, Jiequan 25 Lukáčová-Medviďová, Mária 22 Tang, Huazhong 21 Mai Duc Thanh 20 Kumar, Jitendra 19 Singh, Mehakpreet 16 Hantke, Maren 15 Qamar, Shamsul 13 Giri, Ankik Kumar 12 Sheng, Wancheng 11 Balsara, Dinshaw S. 10 Daude, Frédéric 10 Hérard, Jean-Marc 10 Saha, Jitraj 9 Barik, Prasanta Kumar 9 Rohde, Christian 9 Toro, Eleuterio Francisco 9 Walker, Gavin 9 Zhang, Qinglong 8 Feistauer, Miloslav 8 Galon, Pascal 8 Shu, Chi-Wang 7 Kumar, Rajesh 7 Kurganov, Alexander 7 Liu, Tiegang 7 Müller, Siegfried 7 Pelanti, Marica 7 Sekhar, T. Raja 7 Thein, Ferdinand 7 Wu, Kailiang 7 Xu, Kun 6 Dolejší, Vít 6 Du, Zhifang 6 Kröner, Dietmar 6 Kunik, Matthias 6 Matsoukas, Themis 6 Munz, Claus-Dieter 6 Tian, Baolin 6 Vinh, Duong Xuan 5 Boscheri, Walter 5 Chalons, Christophe 5 Coquel, Frédéric 5 Dreyer, Wolfgang 5 Feng, Chengliang 5 Ghosh, Debdulal 5 Gosse, Laurent 5 Han, Ee 5 Jiang, Song 5 Laurençot, Philippe 5 Lei, Xin 5 Pan, Liang 5 Parés Madroñal, Carlos 5 Rykov, Yurii G. 5 Wang, Guodong 5 Wang, Shuanghu 5 Wang, Yue 5 Zeidan, Dia 4 Abdelrahman, Mahmoud Abdelaziz Elbiomy 4 Baccouch, Mahboub 4 Chertock, Alina E. 4 Cuong, Dao Huy 4 Das, Ashok 4 Deuring, Paul 4 Erceg, Marko 4 Gatica, Gabriel N. 4 Helzel, Christiane 4 Hidalgo, Arturo 4 Hu, Yanbo 4 Iben, Uwe 4 Klingenberg, Christian 4 Liu, Hailiang 4 Munkejord, Svend Tollak 4 Ni, Guoxi 4 Noelle, Sebastian 4 Paul, Jayanta 4 Romenskii, Evgenii I. 4 Sandu, Adrian 4 Yang, Zhicheng 4 Yu, Changsheng 4 Zeiler, Christoph 4 Zia, Saqib 3 Adjerid, Slimane 3 Agouzal, Abdellatif 3 Banasiak, Jacek 3 Bariwal, Sanjiv Kumar 3 Barsukow, Wasilij 3 Ben-Artzi, Matania 3 Berger, Harald 3 Cai, Zhiqiang 3 Castro, Manuel J. 3 Chen, Gui-Qiang G. 3 Chen, Jingshuang 3 Chen, Yibing 3 Chudzik, Erik 3 Clain, Stéphane Louis 3 Das, Arijit 3 Fang, Beixiang 3 Fu, Meiyan ...and 941 more Authors all top 5 Cited in 155 Serials 154 Journal of Computational Physics 53 Computers and Fluids 40 Journal of Scientific Computing 26 Applied Mathematics and Computation 24 Applied Numerical Mathematics 22 Computer Methods in Applied Mechanics and Engineering 17 Journal of Computational and Applied Mathematics 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Journal of Mathematical Analysis and Applications 14 Mathematical Methods in the Applied Sciences 14 Journal of Differential Equations 14 Communications in Computational Physics 12 Numerische Mathematik 11 Quarterly of Applied Mathematics 11 Numerical Methods for Partial Differential Equations 10 International Journal for Numerical Methods in Fluids 10 Mathematics of Computation 10 SIAM Journal on Scientific Computing 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Fluid Mechanics 7 Communications on Applied Mathematics and Computation 6 Journal of Mathematical Physics 6 Journal of Statistical Physics 5 Computers & Mathematics with Applications 5 Computer Physics Communications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 International Journal of Computational Fluid Dynamics 5 International Journal of Computational Methods 5 Journal of Hyperbolic Differential Equations 5 Kinetic and Related Models 4 Mathematics and Computers in Simulation 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Applied Mathematics Letters 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 Communications in Partial Differential Equations 4 Continuum Mechanics and Thermodynamics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 European Journal of Mechanics. B. Fluids 4 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Applied Mathematics and Mechanics 3 Studies in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Physica D 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Journal of Numerical Mathematics 3 Communications on Pure and Applied Analysis 3 Acta Mechanica Sinica 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Journal of Engineering Mathematics 2 Mathematical Notes 2 Wave Motion 2 Advances in Mathematics 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Differential Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Oberwolfach Reports 2 Networks and Heterogeneous Media 2 Numerical Mathematics: Theory, Methods and Applications 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Evolution Equations and Control Theory 1 Archive for Rational Mechanics and Analysis 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Mathematical Biosciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Hokkaido Mathematical Journal 1 Information Sciences 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Numerical Algorithms ...and 55 more Serials all top 5 Cited in 34 Fields 493 Fluid mechanics (76-XX) 415 Numerical analysis (65-XX) 346 Partial differential equations (35-XX) 50 Statistical mechanics, structure of matter (82-XX) 48 Integral equations (45-XX) 45 Classical thermodynamics, heat transfer (80-XX) 23 Biology and other natural sciences (92-XX) 21 Operator theory (47-XX) 18 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 12 Geophysics (86-XX) 8 Relativity and gravitational theory (83-XX) 7 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Astronomy and astrophysics (85-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Citations by Year