## Warming, Robert F.

Compute Distance To:
 Author ID: warming.robert-f Published as: Warming, R. F.; Warming, Robert F.
 Documents Indexed: 27 Publications since 1964 Biographic References: 2 Publications Co-Authors: 10 Co-Authors with 27 Joint Publications 120 Co-Co-Authors
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### Co-Authors

 0 single-authored 17 Beam, Richard M. 5 Yee, Helen C. 3 Harten, Ami 3 Kutler, Paul 2 Hyett, B. J. 2 Lomax, Harvard 2 Steger, Joseph L. 1 Lee, Dohyung 1 Meecham, William C. 1 Reinhardt, W. A.
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### Serials

 6 AIAA Journal 6 Journal of Computational Physics 3 SIAM Journal on Scientific Computing 1 Computers and Fluids 1 Physics of Fluids 1 Mathematics of Computation 1 SIAM Journal on Scientific and Statistical Computing 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Lectures in Applied Mathematics

### Fields

 19 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 1,082 times in 937 Documents Cited by Year
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
1981
An implicit factored scheme for the compressible Navier-Stokes equations. Zbl 0374.76025
Beam, Richard M.; Warming, R. F.
1978
The modified equation approach to the stability and accuracy analysis of finite-difference methods. Zbl 0291.65023
Warming, R. F.; Hyett, B. J.
1974
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. Zbl 0336.76021
Beam, Richard M.; Warming, R. F.
1976
Implicit total variation diminishing (TVD) schemes for steady-state calculations. Zbl 0631.76087
Yee, H. C.; Warming, R. F.; Harten, A.
1985
Upwind second-order difference schemes and applications in aerodynamic flows. Zbl 0364.76047
Warming, R. F.; Beam, Richard M.
1976
The asymptotic spectra of banded Toeplitz and quasi-Toeplitz matrices. Zbl 0788.65049
Beam, Richard M.; Warming, Robert F.
1993
On the construction and application of implicit factored schemes for conservation laws. Zbl 0392.65038
Warming, R. F.; Beam, Richard M.
1978
Diagonalization and simultaneous symmetrization of the gas-dynamic matrices. Zbl 0313.65084
Warming, R. F.; Beam, Richard M.; Hyett, B. J.
1975
Alternating direction implicit methods for parabolic equations with a mixed derivative. Zbl 0462.65060
Beam, Richard M.; Warming, R. F.
1980
An extension of A-stability to alternating direction implicit methods. Zbl 0448.65058
Warming, R. F.; Beam, Richard M.
1979
Boundary approximations for implicit schemes for one-dimensional inviscid equations of gasdynamics. Zbl 0496.76065
Yee, H. C.; Beam, R. M.; Warming, R. F.
1982
Discrete multiresolution analysis using Hermite interpolation: Biorthogonal multiwavelets. Zbl 0977.42023
Warming, Robert F.; Beam, Richard M.
2000
Computation of space shuttle flowfields using noncentered finite- difference schemes. Zbl 0268.76050
Kutler, Paul; Warming, R. F.; Lomax, Harvard
1973
Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations. Zbl 0488.65039
Beam, R. M.; Warming, R. F.; Yee, H. C.
1982
Second- and third-order noncentered difference schemes for nonlinear hyperbolic equations. Zbl 0268.76048
Warming, R. F.; Kutler, Paul; Lomax, Harvard
1973
Multiresolution analysis and supercompact multiwavelets. Zbl 0977.42022
Beam, Richard M.; Warming, Robert F.
2000
Application of TVD schemes for the Euler equations of gas dynamics. Zbl 0526.76080
Yee, H. C.; Warming, R. F.; Harten, Ami
1985
An eigenvalue analysis of finite-difference approximations for hyperbolic IBVPs. II: The auxiliary Dirichlet problem. Zbl 0798.65058
Warming, Robert F.; Beam, Richard M.
1991
Multishocked, three-dimensional supersonic flowfields with real gas effects. Zbl 0258.76047
Kutler, P.; Reinhardt, W. A.; Warming, R. F.
1973
Supercompact multiwavelets for flow field simulation. Zbl 0984.76067
Lee, Dohyung; Beam, Richard M.; Warming, Robert F.
2001
Some insights into the stability of difference approximations for hyperbolic initial-boundary value problems. Zbl 1185.65155
Warming, Robert F.; Beam, Richard M.
1986
Supercompact multiwavelets for flow field simulation. Zbl 0984.76067
Lee, Dohyung; Beam, Richard M.; Warming, Robert F.
2001
Discrete multiresolution analysis using Hermite interpolation: Biorthogonal multiwavelets. Zbl 0977.42023
Warming, Robert F.; Beam, Richard M.
2000
Multiresolution analysis and supercompact multiwavelets. Zbl 0977.42022
Beam, Richard M.; Warming, Robert F.
2000
The asymptotic spectra of banded Toeplitz and quasi-Toeplitz matrices. Zbl 0788.65049
Beam, Richard M.; Warming, Robert F.
1993
An eigenvalue analysis of finite-difference approximations for hyperbolic IBVPs. II: The auxiliary Dirichlet problem. Zbl 0798.65058
Warming, Robert F.; Beam, Richard M.
1991
Some insights into the stability of difference approximations for hyperbolic initial-boundary value problems. Zbl 1185.65155
Warming, Robert F.; Beam, Richard M.
1986
Implicit total variation diminishing (TVD) schemes for steady-state calculations. Zbl 0631.76087
Yee, H. C.; Warming, R. F.; Harten, A.
1985
Application of TVD schemes for the Euler equations of gas dynamics. Zbl 0526.76080
Yee, H. C.; Warming, R. F.; Harten, Ami
1985
Boundary approximations for implicit schemes for one-dimensional inviscid equations of gasdynamics. Zbl 0496.76065
Yee, H. C.; Beam, R. M.; Warming, R. F.
1982
Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations. Zbl 0488.65039
Beam, R. M.; Warming, R. F.; Yee, H. C.
1982
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
1981
Alternating direction implicit methods for parabolic equations with a mixed derivative. Zbl 0462.65060
Beam, Richard M.; Warming, R. F.
1980
An extension of A-stability to alternating direction implicit methods. Zbl 0448.65058
Warming, R. F.; Beam, Richard M.
1979
An implicit factored scheme for the compressible Navier-Stokes equations. Zbl 0374.76025
Beam, Richard M.; Warming, R. F.
1978
On the construction and application of implicit factored schemes for conservation laws. Zbl 0392.65038
Warming, R. F.; Beam, Richard M.
1978
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. Zbl 0336.76021
Beam, Richard M.; Warming, R. F.
1976
Upwind second-order difference schemes and applications in aerodynamic flows. Zbl 0364.76047
Warming, R. F.; Beam, Richard M.
1976
Diagonalization and simultaneous symmetrization of the gas-dynamic matrices. Zbl 0313.65084
Warming, R. F.; Beam, Richard M.; Hyett, B. J.
1975
The modified equation approach to the stability and accuracy analysis of finite-difference methods. Zbl 0291.65023
Warming, R. F.; Hyett, B. J.
1974
Computation of space shuttle flowfields using noncentered finite- difference schemes. Zbl 0268.76050
Kutler, Paul; Warming, R. F.; Lomax, Harvard
1973
Second- and third-order noncentered difference schemes for nonlinear hyperbolic equations. Zbl 0268.76048
Warming, R. F.; Kutler, Paul; Lomax, Harvard
1973
Multishocked, three-dimensional supersonic flowfields with real gas effects. Zbl 0258.76047
Kutler, P.; Reinhardt, W. A.; Warming, R. F.
1973
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### Cited by 1,446 Authors

 29 Dehghan Takht Fooladi, Mehdi 16 Ramos, Juan I. 16 Visbal, Miguel R. 12 Gaitonde, Datta V. 9 Farhat, Charbel H. 9 Sheu, Tony Wen-Hann 9 Yee, Helen C. 9 Yuan, Li 8 Rizzetta, Donald P. 7 Shah, Abdullah 6 Böttcher, Albrecht 6 Taghavi, Seyed-Mohammad 5 Dervieux, Alain 5 Dubois, François 5 González-Pinto, Severiano 5 Jiang, Zonglin 5 Koobus, Bruno 5 Lanteri, Stéphane 5 Mohammadi, Bijan 5 Napolitano, Michele 5 Parent, Bernard 5 Pulliam, Thomas H. 5 Shokin, Yuriĭ Ivanovich 5 Tsangaris, Sokrates 5 Villatoro, Francisco R. 5 Wolf, William R. 4 Baker, Allen J. 4 Embree, Mark 4 He, Feng 4 Hejranfar, Kazem 4 Hernandez-Abreu, Domingo 4 Hughes, Thomas J. R. 4 Kapen, Pascalin Tiam 4 Kwak, Dochan 4 Pascazio, Giuseppe 4 Qu, Feng 4 Ran, Yuhong 4 Shen, Yiqing 4 Shu, Chi-Wang 4 Sousa, Ercília 4 Sun, Di 4 Tang, Huazhong 4 Tchuen, Ghislain 4 Toro, Eleuterio F. 4 Verwer, Jan G. 4 Warming, Robert F. 4 Xu, Kun 4 Yan, Chao 4 Yang, Jaw-Yen 3 Amat, Sergio P. 3 Bai, Junqiang 3 Belhaj, Skander 3 Bertolazzi, Enrico 3 Blondeaux, Paolo 3 Briley, W. Roger 3 Bruno, Oscar P. 3 Burtschell, Yves 3 Cai, Jinsheng 3 Candler, Graham V. 3 Chang, Sinchung 3 Chen, Chifang 3 Chourushi, Tushar 3 Cubillos, Max 3 Di Mascio, Andrea 3 Drikakis, Dimitris 3 Düring, Bertram 3 Felippa, Carlos A. 3 García López, Carmen María 3 Gutfinger, Chaim 3 Hamdani, Hossein Raza 3 Hcini, Fahd 3 Hsieh, Li-Wen 3 Hundsdorfer, Willem H. 3 Hussaini, M. Yousuff 3 Ikhile, Monday Ndidi Oziegbe 3 Jespersen, Dennis C. 3 Kalita, Paragmoni 3 Karaa, Samir 3 Karniadakis, George Em 3 Kawashima, Rei 3 Komurasaki, Kimiya 3 Kuzmin, Dmitri 3 Kwon, Oh Joon 3 Lallemand, Pierre 3 Lele, Sanjiva K. 3 Lerat, Alain 3 Lin, Reui-Kuo 3 Liu, Kaixin 3 Liu, Ruxun 3 MacCormack, Robert W. 3 McDonald, Henry 3 Moretti, Gino 3 Noelle, Sebastian 3 Noye, B. J. 3 Ogunfeyitimi, S. E. 3 Pérez Rodríguez, S. 3 Raghurama Rao, S. V. 3 Rider, William J. 3 Salvetti, Maria Vittoria 3 Sengupta, Tapan Kumar ...and 1,346 more Authors
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### Cited in 125 Serials

 182 Journal of Computational Physics 162 Computers and Fluids 55 Computer Methods in Applied Mechanics and Engineering 48 Applied Mathematics and Computation 41 International Journal for Numerical Methods in Fluids 30 Journal of Fluid Mechanics 29 International Journal of Computational Fluid Dynamics 28 Journal of Computational and Applied Mathematics 26 Applied Numerical Mathematics 22 Computers & Mathematics with Applications 20 Journal of Scientific Computing 14 International Journal of Computer Mathematics 13 Applied Mathematical Modelling 12 Mathematics and Computers in Simulation 12 Physics of Fluids 11 Mathematics of Computation 9 Mathematical and Computer Modelling 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 Computational Mechanics 7 Applied Mathematics and Mechanics. (English Edition) 6 Acta Mechanica 6 Computer Physics Communications 6 Fluid Dynamics 6 Communications in Numerical Methods in Engineering 5 Numerical Methods for Partial Differential Equations 5 European Journal of Mechanics. B. Fluids 4 Physics of Fluids, A 4 Computing 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Linear Algebra and its Applications 4 Journal of Computational Acoustics 3 Journal of Engineering Mathematics 3 Shock Waves 3 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Scientific Computing 3 Advances in Computational Mathematics 3 Matematicheskoe Modelirovanie 3 Archives of Computational Methods in Engineering 3 Sādhanā 3 International Journal of Computational Methods 3 Acta Mechanica Sinica 3 Advances in Applied Mathematics and Mechanics 3 International Journal of Applied and Computational Mathematics 2 International Journal of Heat and Mass Transfer 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Integral Equations and Operator Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Algorithms 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Journal of Applied Mechanics and Technical Physics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Computational Geosciences 2 Nonlinear Analysis. Real World Applications 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Communications on Applied Mathematics and Computation 1 Modern Physics Letters B 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Theoretical and Computational Fluid Dynamics 1 Acta Mathematica Vietnamica 1 Automatica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Kybernetes 1 Kyungpook Mathematical Journal 1 Numerische Mathematik 1 Bulletin of the Korean Mathematical Society 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Communications in Applied Numerical Methods 1 COMPEL 1 Asymptotic Analysis 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 SIAM Review 1 Computers and Mathematics with Applications. Part A 1 Acta Mechanica Sinica. (English Edition) 1 Archive of Applied Mechanics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Theoretical and Applied Finance ...and 25 more Serials
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### Cited in 35 Fields

 692 Fluid mechanics (76-XX) 436 Numerical analysis (65-XX) 213 Partial differential equations (35-XX) 42 Classical thermodynamics, heat transfer (80-XX) 25 Mechanics of deformable solids (74-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Biology and other natural sciences (92-XX) 17 Ordinary differential equations (34-XX) 17 Geophysics (86-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 6 Operator theory (47-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Astronomy and astrophysics (85-XX) 5 Systems theory; control (93-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX)