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## Warnecke, Gerald G.

Compute Distance To:
 Author ID: warnecke.gerald-g Published as: Warnecke, G.; Warnecke, Gerald; Warnecke, Gerald G.
 Documents Indexed: 115 Publications since 1985, including 5 Books Reviewing Activity: 229 Reviews
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#### Co-Authors

 7 single-authored 16 Lukáčová-Medvid’ová, Mária 16 Qamar, Shamsul 9 Hantke, Maren 8 Wang, Jinghua 7 Kumar, Jitendra 7 Kunik, Matthias 7 Morton, Keith William 6 Liu, Hailiang 6 Tang, Huazhong 5 Li, Jiequan 5 Zahaykah, Yousef 4 Andrianov, Nikolai 4 Falcke, Martin 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 S. 2 Mackenzie, John A. 2 Matern, Christoph 2 Qurrat-ul-Ain 2 Saibertová, Jitka 2 Saurel, Richard 2 Süli, Endre E. 2 Zein, Ali 1 Badenjki, Abdulatif 1 Ben-Artzi, Matania 1 Chamakuri, Nagaiah 1 Chen, Li 1 Duderstadt, Frank 1 Feistauer, Miloslav 1 Freistühler, Heinrich 1 Gilbert, Stephen H. 1 Heineken, Wolfram 1 Holstein, Katharina 1 Houston, Paul 1 Hsiao, Ling 1 Huang, Jinyang 1 Keyfitz, Barbara Lee 1 Laurençot, Philippe 1 LeVeque, Randall J. 1 Neubert, Wilhelm 1 Pan, Jun 1 Sonar, Thomas 1 Vierheller, Janine 1 Zhang, Hui 1 Zhang, Lumei
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#### Serials

 8 Numerische Mathematik 7 Journal of Computational Physics 7 SIAM Journal on Numerical Analysis 6 SIAM Journal on Scientific Computing 4 Applied Numerical Mathematics 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Computational Methods 2 Applications of Mathematics 2 Continuum Mechanics and Thermodynamics 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 Applied Mathematics and Computation 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 Methods and Applications of Analysis 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 ISNM. International Series of Numerical Mathematics 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Princeton Series in Applied Mathematics
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#### Fields

 62 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 51 Fluid mechanics (76-XX) 16 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 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) 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 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

85 Publications have been cited 753 times in 529 Documents Cited by Year
The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414
Andrianov, Nikolai; Warnecke, Gerald
2004
Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079
Zein, Ali; Hantke, Maren; Warnecke, Gerald
2010
A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375
Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald
2006
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
1999
On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191
Andrianov, Nikolai; Warnecke, Gerald
2004
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
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
1999
Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076
Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald
2000
Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562
Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G.
2004
Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2004
Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
2012
The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106
Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald
2011
Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536
Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G.
2002
The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037
Keyfitz, Barbara Lee; Warnecke, Gerald G.
1991
Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025
Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald
2003
Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G.
2002
Finite elements for transonic potential flows. Zbl 0692.76061
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1990
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
2013
Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178
Han, Ee; Hantke, Maren; Warnecke, Gerald
2012
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
2013
Bubbles in liquids with phase transition. Zbl 1258.76160
Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald
2012
Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381
Kumar, Jitendra; Warnecke, Gerald
2008
A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044
Tang, Huazhong; Warnecke, Gerald
2005
Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108
Liu, Hailiang; Warnecke, Gerald
2000
Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146
Kumar, Jitendra; Warnecke, Gerald
2008
A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090
Qamar, Shamsul; Warnecke, Gerald
2005
Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071
Tang, Huazhong; Warnecke, Gerald
2006
Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385
Qamar, Shamsul; Warnecke, Gerald
2006
Entropy. Zbl 1187.00001
Greven, Andreas (ed.); Keller, Gerhard (ed.); Warnecke, Gerald (ed.)
2003
Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1997
Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169
Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei
2009
Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048
Wang, Jinghua; Warnecke, Gerald
2003
Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008
Giri, Ankik Kumar; Warnecke, Gerald
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.
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
2005
A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2004
Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104
Lukáčová-Medvid’ová, M.; Warnecke, Gerald
2000
Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006
Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald
2015
Exact Riemann solutions to shallow water equations. Zbl 1298.76047
Han, Ee; Warnecke, Gerald
2014
Partitioning methods for reaction-diffusion problems. Zbl 1105.65100
Heineken, Wolfram; Warnecke, Gerald
2006
Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072
Li, Jiequan; Warnecke, Gerald
2003
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
2014
Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093
Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y.
2007
On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088
Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef
2004
Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112
Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald
2003
High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090
Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald
2000
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
1987
The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012
Camejo, Carlos Cueto; Warnecke, Gerald
2015
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.
2012
Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034
Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M.
2008
A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371
Qamar, Shamsul; Warnecke, Gerald
2005
Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090
Pan, Jun; Warnecke, Gerald
2004
A note on $$(2K+1)$$-point conservative monotone schemes. Zbl 1075.65113
Tang, Huazhong; Warnecke, Gerald
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.
2004
Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067
Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y.
2003
Analytic methods in the theory of conservation laws. Zbl 0947.35005
Warnecke, Gerald
1999
Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald
1998
Convergence of relaxing schemes for conservation laws. Zbl 0933.35132
Wang, Jinghua; Warnecke, Gerald
1998
Adaptive computational methods for gas flow. Zbl 0963.76555
Felcman, Jiří; Warnecke, Gerald
1996
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
2014
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.
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
2010
Analysis and numerics for conservation laws. Zbl 1066.76006
Warnecke, Gerald (ed.)
2005
Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516
Qamar, Shamsul; Warnecke, Gerald
2004
Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
The lip$$^{+}$$-stability and error estimates for a relaxation scheme. Zbl 0980.35102
Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald
2000
Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G.
1999
Coupling of FEM and BEM for transonic flows. Zbl 0835.76043
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1994
A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066
Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
1994
Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031
Warnecke, Gerald
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 equation type). Zbl 0594.35086
Warnecke, Gerald
1985
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
2020
Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049
Ssemaganda, Vincent; Warnecke, Gerald
2013
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.
2009
On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076
Tang, Huazhong; Warnecke, Gerald
2007
A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084
Qamar, S.; Warnecke, G.
2006
A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2005
Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093
Helzel, Christiane; Warnecke, Gerald
2001
On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161
Sonar, Thomas; Warnecke, Gerald
1998
A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041
Göhner, Uli; Warnecke, Gerald
1995
A shock indicator for adaptive transonic flow computations. Zbl 0796.76051
Göhner, Uli; Warnecke, Gerald
1994
On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084
Wang, Jinghua; Warnecke, Gerald
1993
On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083
Wang, Jinghua; Warnecke, Gerald
1993
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
2020
Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006
Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald
2015
The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012
Camejo, Carlos Cueto; Warnecke, Gerald
2015
Exact Riemann solutions to shallow water equations. Zbl 1298.76047
Han, Ee; Warnecke, Gerald
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
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
2014
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
2013
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
2013
Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049
Ssemaganda, Vincent; Warnecke, Gerald
2013
Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017
Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald
2012
Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178
Han, Ee; Hantke, Maren; Warnecke, Gerald
2012
Bubbles in liquids with phase transition. Zbl 1258.76160
Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald
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.
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.
2012
The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106
Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald
2011
Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008
Giri, Ankik Kumar; Warnecke, Gerald
2011
Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079
Zein, Ali; Hantke, Maren; Warnecke, Gerald
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
2010
Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169
Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei
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.
2009
Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381
Kumar, Jitendra; Warnecke, Gerald
2008
Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146
Kumar, Jitendra; Warnecke, Gerald
2008
Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034
Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M.
2008
Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093
Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y.
2007
On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076
Tang, Huazhong; Warnecke, Gerald
2007
A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375
Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald
2006
High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071
Tang, Huazhong; Warnecke, Gerald
2006
Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385
Qamar, Shamsul; Warnecke, Gerald
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.
2006
Partitioning methods for reaction-diffusion problems. Zbl 1105.65100
Heineken, Wolfram; Warnecke, Gerald
2006
A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084
Qamar, S.; Warnecke, G.
2006
A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044
Tang, Huazhong; Warnecke, Gerald
2005
A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090
Qamar, Shamsul; Warnecke, Gerald
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
2005
A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371
Qamar, Shamsul; Warnecke, Gerald
2005
Analysis and numerics for conservation laws. Zbl 1066.76006
Warnecke, Gerald (ed.)
2005
A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2005
The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414
Andrianov, Nikolai; Warnecke, Gerald
2004
On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191
Andrianov, Nikolai; Warnecke, Gerald
2004
Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562
Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G.
2004
Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2004
A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
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
2004
Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090
Pan, Jun; Warnecke, Gerald
2004
A note on $$(2K+1)$$-point conservative monotone schemes. Zbl 1075.65113
Tang, Huazhong; Warnecke, Gerald
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.
2004
Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516
Qamar, Shamsul; Warnecke, Gerald
2004
Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025
Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald
2003
Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
Entropy. Zbl 1187.00001
Greven, Andreas (ed.); Keller, Gerhard (ed.); Warnecke, Gerald (ed.)
2003
Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048
Wang, Jinghua; Warnecke, Gerald
2003
Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072
Li, Jiequan; Warnecke, Gerald
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
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.
2003
Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald
2003
Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536
Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G.
2002
Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G.
2002
Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093
Helzel, Christiane; Warnecke, Gerald
2001
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
2000
Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076
Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald
2000
Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108
Liu, Hailiang; Warnecke, Gerald
2000
Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104
Lukáčová-Medvid’ová, M.; Warnecke, Gerald
2000
High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090
Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald
2000
The lip$$^{+}$$-stability and error estimates for a relaxation scheme. Zbl 0980.35102
Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald
2000
A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096
Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
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
1999
Analytic methods in the theory of conservation laws. Zbl 0947.35005
Warnecke, Gerald
1999
Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G.
1999
Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070
Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald
1998
Convergence of relaxing schemes for conservation laws. Zbl 0933.35132
Wang, Jinghua; Warnecke, Gerald
1998
On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161
Sonar, Thomas; Warnecke, Gerald
1998
Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1997
Adaptive computational methods for gas flow. Zbl 0963.76555
Felcman, Jiří; Warnecke, Gerald
1996
A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041
Göhner, Uli; Warnecke, Gerald
1995
Coupling of FEM and BEM for transonic flows. Zbl 0835.76043
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1994
A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066
Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald
1994
A shock indicator for adaptive transonic flow computations. Zbl 0796.76051
Göhner, Uli; Warnecke, Gerald
1994
On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084
Wang, Jinghua; Warnecke, Gerald
1993
On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083
Wang, Jinghua; Warnecke, Gerald
1993
The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037
Keyfitz, Barbara Lee; Warnecke, Gerald G.
1991
Finite elements for transonic potential flows. Zbl 0692.76061
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L.
1990
Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031
Warnecke, Gerald
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
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
1985
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#### Cited by 773 Authors

 37 Warnecke, Gerald G. 25 Dumbser, Michael 19 Tang, Huazhong 17 Li, Jiequan 17 Lukáčová-Medvid’ová, Mária 14 Kumar, Jitendra 14 Mai Duc Thanh 12 Hantke, Maren 10 Balsara, Dinshaw S. 10 Qamar, Shamsul 9 Daude, Frédéric 9 Hérard, Jean-Marc 8 Feistauer, Miloslav 8 Galon, Pascal 8 Giri, Ankik Kumar 7 Sekhar, T. Raja 7 Toro, Eleuterio F. 6 Dolejší, Vít 6 Kröner, Dietmar 6 Rohde, Christian 6 Wu, Kailiang 6 Xu, Kun 5 Barik, Prasanta Kumar 5 Dreyer, Wolfgang 5 Gosse, Laurent 5 Han, Ee 5 Kunik, Matthias 5 Laurençot, Philippe 5 Müller, Siegfried 5 Saha, Jitraj 4 Baccouch, Mahboub 4 Boscheri, Walter 4 Cuong, Dao Huy 4 Deuring, Paul 4 Du, Zhifang 4 Gatica, Gabriel N. 4 Hidalgo, Arturo 4 Kurganov, Alexander 4 Liu, Hailiang 4 Parés Madroñal, Carlos 4 Pelanti, Marica 4 Sandu, Adrian 4 Shu, Chi-Wang 4 Singh, Mehakpreet 4 Thein, Ferdinand 4 Yang, Zhicheng 4 Zeidan, Dia 4 Zeiler, Christoph 3 Adjerid, Slimane 3 Agouzal, Abdellatif 3 Banasiak, Jacek 3 Berger, Harald 3 Burman, Erik 3 Chalons, Christophe 3 Clain, Stéphane Louis 3 Coquel, Frédéric 3 Erceg, Marko 3 Fang, Beixiang 3 Flåtten, Tore 3 Ghidaglia, Jean-Michel 3 Hurisse, Olivier 3 Iben, Uwe 3 Jiang, Song 3 Karlsen, Kenneth Hvistendahl 3 LeFloch, Philippe Gerard 3 Li, Yachun 3 Liu, Tiegang 3 Lochon, Hippolyte 3 Mildner, Marcus 3 Minhajul 3 Morton, Keith William 3 Munkejord, Svend Tollak 3 Munz, Claus-Dieter 3 Ohlberger, Mario 3 Pan, Liang 3 Ren, Yuxin 3 Risebro, Nils Henrik 3 Romenskii, Evgenii I. 3 Ruiz-Baier, Ricardo 3 Schneider, Kai 3 Schwendeman, Donald W. 3 Sharma, Vishnu D. 3 Sheng, Wancheng 3 Sun, Pengtao 3 Sun, Shuyu 3 Tsotsas, Evangelos 3 Walker, Gavin 3 Wang, Guodong 3 Wang, Shuanghu 3 Wheeler, Mary Fanett 3 Yee, Helen C. 3 Yin, Huicheng 3 Zahaykah, Yousef 3 Zanotti, Olindo 3 Zhang, Yongqian 2 Abdelrahman, Mahmoud Abdelaziz Elbiomy 2 Achchab, Boujemaa 2 Amadori, Debora 2 Ambroso, Annalisa 2 Antonić, Nenad ...and 673 more Authors
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#### Cited in 115 Serials

 114 Journal of Computational Physics 42 Computers and Fluids 26 Journal of Scientific Computing 22 Computer Methods in Applied Mechanics and Engineering 20 Applied Mathematics and Computation 18 Applied Numerical Mathematics 13 Journal of Mathematical Analysis and Applications 12 Journal of Computational and Applied Mathematics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematics of Computation 10 Numerische Mathematik 10 Quarterly of Applied Mathematics 9 Mathematical Methods in the Applied Sciences 8 Journal of Differential Equations 8 Numerical Methods for Partial Differential Equations 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Scientific Computing 6 International Journal for Numerical Methods in Fluids 6 Journal of Statistical Physics 5 Journal of Mathematical Physics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Computers & Mathematics with Applications 4 Mathematics and Computers in Simulation 4 Applications of Mathematics 4 Communications in Partial Differential Equations 4 International Journal of Computational Methods 4 Journal of Hyperbolic Differential Equations 4 Kinetic and Related Models 3 Journal of Fluid Mechanics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Physica D 3 Continuum Mechanics and Thermodynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Journal of Mechanics. B. Fluids 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Acta Mechanica Sinica 2 Communications in Mathematical Physics 2 Journal of Engineering Mathematics 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 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 International Journal of Computational Fluid Dynamics 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Journal of Numerical Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Networks and Heterogeneous Media 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 Physics Letters. A 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Information Sciences 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Journal of High Energy Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sādhanā 1 Communications on Pure and Applied Analysis ...and 15 more Serials
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#### Cited in 31 Fields

 325 Fluid mechanics (76-XX) 287 Numerical analysis (65-XX) 222 Partial differential equations (35-XX) 34 Classical thermodynamics, heat transfer (80-XX) 34 Statistical mechanics, structure of matter (82-XX) 26 Integral equations (45-XX) 18 Biology and other natural sciences (92-XX) 12 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 8 Geophysics (86-XX) 6 Relativity and gravitational theory (83-XX) 5 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)