# zbMATH — the first resource for mathematics

## Journal of Computational Physics

 Short Title: J. Comput. Phys. Publisher: Elsevier (Academic Press), Amsterdam ISSN: 0021-9991 Online: http://www.sciencedirect.com/science/journal/00219991
 Documents Indexed: 13,904 Publications (since 1966) References Indexed: 12,897 Publications with 430,047 References.
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#### Authors

 96 Shu, Chi-Wang 83 Karniadakis, George Em 58 Nordström, Jan 57 Xu, Kun 55 Osher, Stanley Joel 48 Adams, Nikolaus A. 47 Shashkov, Mikhail J. 46 Colella, Phillip 39 Balsara, Dinshaw S. 39 Boyd, John Philip 39 Dumbser, Michael 39 Zabaras, Nicholas J. 38 Gibou, Frédéric 38 Jenny, Patrick 35 Greengard, Leslie F. 35 Hesthaven, Jan S. 34 Knoll, Dana A. 33 Moin, Parviz 33 Toro, Eleuterio F. 33 Turkel, Eli L. 32 Sagaut, Pierre 31 Chacón, Luis 30 Fedkiw, Ronald P. 30 Jin, Shi 29 Koumoutsakos, Petros D. 29 Shen, Jie 28 Cai, Wei 28 Degond, Pierre 28 Tchelepi, Hamdi A. 27 Carpenter, Mark H. 27 Lowengrub, John Samuel 27 Qiu, Jianxian 27 Smolarkiewicz, Piotr K. 27 Xiao, Feng 27 Xiu, Dongbin 26 Brackbill, Jeremiah U. 26 Henshaw, William D. 26 Hou, Thomas Yizhao 25 Abgrall, Rémi 25 Chung, Tsz Shun Eric 25 Morel, Jim E. 25 Nishikawa, Hiroaki 25 Peskin, Charles S. 25 Sethian, James A. 25 Shu, Chang 24 Banks, Jeffrey W. 24 Khoo, Boo Cheong 24 Lin, Guang 24 Loubère, Raphaël 23 Majda, Andrew J. 23 Yee, Helen C. 22 Bao, Weizhu 22 E, Weinan 22 Efendiev, Yalchin R. 22 Koren, Barry 22 Pope, Stephen B. 22 Shadid, John N. 22 Sherwin, Spencer J. 22 Wang, Hong 22 Ying, Lexing 21 Christlieb, Andrew J. 21 Fornberg, Bengt 21 Giraldo, Francis X. 21 Huang, Weizhang 21 Luo, Lishi 21 Shyy, Wei 21 Tang, Huazhong 21 Vasilyev, Oleg V. 20 Lai, Mingchih 20 Larsen, Edward W. 20 Luo, Hong 20 Merriman, Barry 20 Schwendeman, Donald W. 20 Tornberg, Anna-Karin 20 Zhao, Hongkai 19 Antoine, Xavier 19 Bell, John B. 19 Cockburn, Bernardo 19 Engquist, Bjorn E. 19 Iaccarino, Gianluca 19 Iollo, Angelo 19 Monaghan, Joseph J. 19 Munz, Claus-Dieter 19 Najm, Habib N. 19 Rokhlin, Vladimir 19 van der Vegt, Jaap J. W. 19 Wei, Guowei 18 Bruno, Oscar P. 18 Cohen, Bruce I. 18 Colonius, Tim 18 Lapenta, Giovanni 18 Mattsson, Ken 18 Mavriplis, Dimitri J. 18 Nguyen, Ngoc Cuong 18 Qiu, Jingmei 18 Quartapelle, Luigi 18 Saurel, Richard 18 Sjogreen, Bjorn 18 Strain, John A. 18 Tsai, Yen-Hsi Richard ...and 16,570 more Authors
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#### Fields

 8,463 Numerical analysis (65-XX) 7,383 Fluid mechanics (76-XX) 3,178 Partial differential equations (35-XX) 1,228 Statistical mechanics, structure of matter (82-XX) 935 Optics, electromagnetic theory (78-XX) 733 Mechanics of deformable solids (74-XX) 547 Geophysics (86-XX) 499 Classical thermodynamics, heat transfer (80-XX) 463 Quantum theory (81-XX) 416 Biology and other natural sciences (92-XX) 327 Ordinary differential equations (34-XX) 268 Probability theory and stochastic processes (60-XX) 253 Integral equations (45-XX) 207 Statistics (62-XX) 192 Computer science (68-XX) 149 Dynamical systems and ergodic theory (37-XX) 147 Calculus of variations and optimal control; optimization (49-XX) 145 Astronomy and astrophysics (85-XX) 113 Special functions (33-XX) 107 Mechanics of particles and systems (70-XX) 93 Approximations and expansions (41-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 56 Operations research, mathematical programming (90-XX) 55 Systems theory; control (93-XX) 48 Relativity and gravitational theory (83-XX) 43 Information and communication theory, circuits (94-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 32 Integral transforms, operational calculus (44-XX) 29 Functions of a complex variable (30-XX) 26 Differential geometry (53-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 20 Difference and functional equations (39-XX) 17 Real functions (26-XX) 16 Convex and discrete geometry (52-XX) 15 History and biography (01-XX) 15 Operator theory (47-XX) 14 Combinatorics (05-XX) 11 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Group theory and generalizations (20-XX) 6 Number theory (11-XX) 6 Measure and integration (28-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Sequences, series, summability (40-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX)

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11,466 Publications have been cited 220,583 times in 60,069 Documents Cited by Year
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Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072
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Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006
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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Zbl 0511.76031
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A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077
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1994
A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129
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Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
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1987
Numerical analysis of blood flow in the heart. Zbl 0403.76100
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1977
A fast algorithm for particle simulations. Zbl 0629.65005
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Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
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1989
A continuum method for modeling surface tension. Zbl 0775.76110
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1992
High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050
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Weighted essentially non-oscillatory schemes. Zbl 0811.65076
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The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057
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1984
Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038
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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
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Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
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2007
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
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A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Zbl 0957.76052
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1999
A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
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1997
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063
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1978
A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
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1992
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093
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1989
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
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1972
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040
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1997
Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
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1979
An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
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1974
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
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2004
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
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1992
Simulating free surface flows with SPH. Zbl 0794.76073
Monaghan, J. J.
1994
A front-tracking method for the computations of multiphase flow. Zbl 1047.76574
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2001
Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
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1984
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073
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2000
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
1984
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
Berger, M. J.; Colella, P.
1989
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
1991
Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
Tam, Christopher K. W.; Webb, Jay C.
1993
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
1984
Exponential time differencing for stiff systems. Zbl 1005.65069
Cox, S. M.; Matthews, P. C.
2002
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
2000
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
1990
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
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1989
Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
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2004
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
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1986
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
2001
Reconstructing volume tracking. Zbl 0933.76069
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1998
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
1997
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
1985
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
1974
Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
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1973
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
1977
A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Zbl 0977.76071
Sussman, Mark; Puckett, Elbridge Gerry
2000
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
1999
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
2000
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
Uhlmann, Markus
2005
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
Jacqmin, David
1999
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
1999
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
2002
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
1999
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
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1972
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
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2008
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
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1981
A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter
2006
An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon
2001
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
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1998
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
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2005
A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097
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2001
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
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1993
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
2001
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
2003
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
2002
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M.
2005
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
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1998
Exact non-reflecting boundary conditions. Zbl 0671.65094
Keller, Joseph B.; Givoli, Dan
1989
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
1991
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Zbl 0957.76043
Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W.
1999
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi
1994
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
1990
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
Cui, Mingrong
2009
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
2003
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
Alikhanov, Anatoly A.
2015
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. Zbl 0832.65098
Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul
1994
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
1996
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
2000
Summation by parts for finite difference approximations for $$d/dx$$. Zbl 0792.65011
Strand, Bo
1994
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter
2008
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Zbl 0847.76048
Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S.
1996
Time dependent boundary conditions for hyperbolic systems. Zbl 0619.76089
Thompson, Kevin W.
1987
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
2000
Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. Zbl 0147.44202
Arakawa, Akio
1966
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
Popinet, Stéphane
2009
Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069
Turkel, Eli
1987
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
Plimpton, Steve
1995
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
2002
A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068
He, Xiaoyi; Chen, Shiyi; Doolen, Gary D.
1998
What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em
2020
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184
Lee, Kookjin; Carlberg, Kevin T.
2020
A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel. Zbl 1437.65237
Gu, Xian-Ming; Wu, Shu-Lin
2020
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2020
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041
Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary
2020
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
2020
Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156
Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin
2020
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207
Guo, Ruchi; Lin, Tao
2020
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
2020
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437
Cai, Jiaxiang; Shen, Jie
2020
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
2020
Solving electrical impedance tomography with deep learning. Zbl 1453.65041
Fan, Yuwei; Ying, Lexing
2020
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. Zbl 1436.65093
Wang, Qian; Ripamonti, Nicolò; Hesthaven, Jan S.
2020
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055
Li, Wuchen; Lu, Jianfeng; Wang, Li
2020
Local meshless methods for second order elliptic interface problems with sharp corners. Zbl 1437.65208
2020
Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs. Zbl 1453.65280
Dektor, Alec; Venturi, Daniele
2020
4D large scale variational data assimilation of a turbulent flow with a dynamics error model. Zbl 1436.76010
Chandramouli, Pranav; Memin, Etienne; Heitz, Dominique
2020
A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems. Zbl 1436.76058
Tang, Meng; Liu, Yimin; Durlofsky, Louis J.
2020
Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet. Zbl 1435.76057
Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji
2020
Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media. Zbl 1435.76042
Brenner, K.; Masson, R.; Quenjel, E. H.
2020
Regularized integral equation methods for elastic scattering problems in three dimensions. Zbl 1436.65211
Bruno, Oscar P.; Yin, Tao
2020
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. Zbl 1436.65202
Wu, Bowei; Zhu, Hai; Barnett, Alex; Veerapaneni, Shravan
2020
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. Zbl 1436.76035
Zahr, M. J.; Shi, A.; Persson, P.-O.
2020
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135
Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping
2020
On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Zbl 1437.65109
Muñoz-Pérez, Luis F.; Macías-Díaz, J. E.
2020
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157
Yin, Weishi; Yang, Wenhong; Liu, Hongyu
2020
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. Zbl 1453.65357
Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara
2020
Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model. Zbl 1453.76223
Zhang, Jun; Yang, Xiaofeng
2020
A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Zbl 1453.65276
Yang, Zhiguo; Dong, Suchuan
2020
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
2020
A conservative, consistent, and scalable meshfree mimetic method. Zbl 1435.65221
Trask, Nathaniel; Bochev, Pavel; Perego, Mauro
2020
Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. Zbl 1435.65156
Discacciati, Niccolò; Hesthaven, Jan S.; Ray, Deep
2020
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. Zbl 1435.76038
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E.
2020
Stability analysis of hierarchical tensor methods for time-dependent PDEs. Zbl 1435.65149
Rodgers, Abram; Venturi, Daniele
2020
Fast Calderón preconditioning for Helmholtz boundary integral equations. Zbl 1435.65218
Fierro, Ignacia; Jerez-Hanckes, Carlos
2020
Exponential sum approximation for Mittag-Leffler function and its application to fractional Zener wave equation. Zbl 1436.65023
Lam, P. H.; So, H. C.; Chan, C. F.
2020
FFT-based high order central difference schemes for three-dimensional Poisson’s equation with various types of boundary conditions. Zbl 1436.65159
Feng, Hongsong; Zhao, Shan
2020
A hybrid approach to couple the discrete velocity method and method of moments for rarefied gas flows. Zbl 1436.76054
Yang, Weiqi; Gu, Xiao-Jun; Wu, Lei; Emerson, David R.; Zhang, Yonghao; Tang, Shuo
2020
A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems. Zbl 1437.65074
Guillot, Louis; Lazarus, Arnaud; Thomas, Olivier; Vergez, Christophe; Cochelin, Bruno
2020
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
2020
Sparse polynomial chaos expansions using variational relevance vector machines. Zbl 1437.62114
Tsilifis, Panagiotis; Papaioannou, Iason; Straub, Daniel; Nobile, Fabio
2020
Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. Zbl 1437.65131
Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.
2020
Data driven approximation of parametrized PDEs by reduced basis and neural networks. Zbl 1437.65224
Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca
2020
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. Zbl 1437.76041
Liu, Chun; Wang, Yiwei
2020
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. Zbl 1437.74026
Fu, Shubin; Chung, Eric; Mai, Tina
2020
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033
Zhao, Zhuang; Qiu, Jianxian
2020
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. Zbl 1440.65147
Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan
2020
A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions. Zbl 1440.65158
Xie, Yaning; Ying, Wenjun
2020
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
2020
A weighted meshfree collocation method for incompressible flows using radial basis functions. Zbl 1453.65364
Wang, Lihua; Qian, Zhihao; Zhou, Yueting; Peng, Yongbo
2020
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072
Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier
2020
Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. Zbl 1453.65035
Khoromskij, Boris N.
2020
A hierarchical butterfly LU preconditioner for two-dimensional electromagnetic scattering problems involving open surfaces. Zbl 1453.65455
Liu, Yang; Yang, Haizhao
2020
Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130
Geneva, Nicholas; Zabaras, Nicholas
2020
A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. Zbl 1453.76063
Cheng, Jian; Zhang, Fan; Liu, Tiegang
2020
Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin
2020
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. Zbl 1453.65351
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang
2020
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
2020
Recovering elastic inclusions by shape optimization methods with immersed finite elements. Zbl 1453.74073
Guo, Ruchi; Lin, Tao; Lin, Yanping
2020
Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. Zbl 1453.68165
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
2020
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. Zbl 1453.65370
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai; Karniadakis, George Em
2020
A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. Zbl 1453.65310
Buli, Joshua; Xing, Yulong
2020
A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya. Zbl 1436.65152
Li, Z. F.; Shi, Y. Y.; Wu, G. X.
2020
A path conservative finite volume method for a shear shallow water model. Zbl 1436.76036
Chandrashekar, Praveen; Nkonga, Boniface; Meena, Asha Kumari; Bhole, Ashish
2020
A sharp interface method for an immersed viscoelastic solid. Zbl 1435.76040
Puelz, Charles; Griffith, Boyce E.
2020
Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function. Zbl 1435.76064
Dugast, Florian; Favennec, Yann; Josset, Christophe
2020
Deep learning seismic substructure detection using the frozen Gaussian approximation. Zbl 1435.86002
Hateley, James C.; Roberts, Jay; Mylonakis, Kyle; Yang, Xu
2020
Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre. Zbl 1435.76024
Lecrivain, Gregory; Pacheco Grein, Taisa Beatriz; Yamamoto, Ryoichi; Hampel, Uwe; Taniguchi, Takashi
2020
Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation. Zbl 1435.76023
Morgan, Scott; Davies, Christopher
2020
Variational training of neural network approximations of solution maps for physical models. Zbl 1435.68292
Li, Yingzhou; Lu, Jianfeng; Mao, Anqi
2020
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach. Zbl 1435.76059
Gross, B. J.; Trask, N.; Kuberry, P.; Atzberger, P. J.
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
2020
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds. Zbl 1435.76043
Denner, Fabian; Evrard, Fabien; van Wachem, Berend G. M.
2020
A fast integral equation method for the two-dimensional Navier-Stokes equations. Zbl 1435.76020
af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine
2020
Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM. Zbl 1435.76036
Chung, Eric; Pun, Sai-Mang
2020
A new efficient momentum preserving level-set/VOF method for high density and momentum ratio incompressible two-phase flows. Zbl 1436.76043
Zuzio, Davide; Orazzo, Annagrazia; Estivalèzes, Jean-Luc; Lagrange, Isabelle
2020
A second-order measure of boundary oscillations for overhang control in topology optimization. Zbl 1436.65075
2020
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Zbl 1436.76064
Koch, Timo; Schneider, Martin; Helmig, Rainer; Jenny, Patrick
2020
Bound preserving and energy dissipative schemes for porous medium equation. Zbl 1436.65101
Gu, Yiqi; Shen, Jie
2020
Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. Zbl 1436.37091
Chen, Nan; Majda, Andrew J.
2020
Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061
Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying
2020
A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030
Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri
2020
Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar
2020
Second order threshold dynamics schemes for two phase motion by mean curvature. Zbl 1436.65153
Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna
2020
Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target. Zbl 1436.65151
Sabelfeld, Karl
2020
Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise. Zbl 1436.35334
Song, Mingzhan; Qian, Xu; Shen, Tianlong; Song, Songhe
2020
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. Zbl 1436.65108
2020
A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in $$\mathbb{R}^3$$. Zbl 1436.76048
Yang, Junxiang; Li, Yibao; Kim, Junseok
2020
Fast evaluation of the Biot-Savart integral using FFT for electrical conductivity imaging. Zbl 1436.65021
Yazdanian, Hassan; Saturnino, Guilherme B.; Thielscher, Axel; Knudsen, Kim
2020
RANS turbulence model development using CFD-driven machine learning. Zbl 1436.76011
Zhao, Yaomin; Akolekar, Harshal D.; Weatheritt, Jack; Michelassi, Vittorio; Sandberg, Richard D.
2020
Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration. Zbl 1437.76025
You, Hojun; Kim, Chongam
2020
Optimal experimental design for prediction based on push-forward probability measures. Zbl 1437.62297
Butler, T.; Jakeman, J. D.; Wildey, T.
2020
A scalable computational platform for particulate Stokes suspensions. Zbl 1437.76042
Yan, Wen; Corona, Eduardo; Malhotra, Dhairya; Veerapaneni, Shravan; Shelley, Michael
2020
Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119
Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A.
2020
High-order ALE gas-kinetic scheme with WENO reconstruction. Zbl 1437.76031
Pan, Liang; Zhao, Fengxiang; Xu, Kun
2020
A fast implicit solver for semiconductor models in one space dimension. Zbl 1437.65132
Laiu, M. Paul; Chen, Zheng; Hauck, Cory D.
2020
Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Zbl 1437.74021
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
2020
Boussinesq-Peregrine water wave models and their numerical approximation. Zbl 1437.76022
Katsaounis, Theodoros; Mitsotakis, Dimitrios; Sadaka, Georges
2020
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#### Cited by 56,162 Authors

 232 Shu, Chi-Wang 219 Dehghan Takht Fooladi, Mehdi 162 Simos, Theodore E. 156 Karniadakis, George Em 117 Liu, Fawang 108 Dumbser, Michael 103 Nordström, Jan 100 Boyd, John Philip 96 Chung, Tsz Shun Eric 96 Shen, Jie 90 Shu, Chang 89 Hughes, Thomas J. R. 89 Wang, Hong 87 Liu, Wing Kam 86 Sagaut, Pierre 85 Băleanu, Dumitru I. 84 Turner, Ian William 81 Hesthaven, Jan S. 80 Xu, Kun 79 Jin, Shi 79 Tezduyar, Tayfun E. 78 Sheu, Tony Wen-Hann 77 Adams, Nikolaus A. 77 Quarteroni, Alfio M. 76 Bazilevs, Yuri 76 Huang, Yunqing 74 Shashkov, Mikhail J. 73 Osher, Stanley Joel 72 Codina, Ramon 72 He, Yinnian 72 Khoo, Boo Cheong 72 Seaïd, Mohammed 71 Majda, Andrew J. 71 Toro, Eleuterio F. 71 Yang, Xiaofeng 70 Kim, Junseok 70 Oñate Ibáñez de Navarra, Eugenio 70 Qiu, Jianxian 69 Li, Jichun 69 Sherwin, Spencer J. 67 Verzicco, Roberto 66 Bao, Weizhu 65 Glowinski, Roland 64 Du, Qiang 64 Farhat, Charbel H. 64 Rebholz, Leo G. 63 Bhrawy, Ali Hassan 62 Abgrall, Rémi 61 Liu, Gui-Rong 61 Sun, Zhizhong 58 Chen, Wen 58 Schwab, Christoph 58 Takizawa, Kenji 58 Wall, Wolfgang A. 58 Ying, Lexing 57 Wheeler, Mary Fanett 56 Abbaszadeh, Mostafa 56 Cockburn, Bernardo 56 Doha, Eid H. 56 Feng, Xinlong 56 Lowengrub, John Samuel 56 Mohanty, Ranjan Kumar 56 Sun, Shuyu 56 Wang, Cheng 55 Degond, Pierre 55 Efendiev, Yalchin R. 55 Guermond, Jean-Luc 55 Hou, Thomas Yizhao 55 Löhner, Rainald 55 Vuik, Cornelis 55 Zhang, Zhimin 54 Greengard, Leslie F. 54 Zhang, Jun 52 Gunzburger, Max D. 52 Guo, Ben-Yu 52 Jenny, Patrick 52 Oden, John Tinsley 52 Wang, Yushun 51 Idelsohn, Sergio Rodolfo 51 Li, Zhilin 51 Moin, Parviz 51 Pullin, Dale I. 50 Bürger, Raimund 50 Huang, Ting-Zhu 50 Kurganov, Alexander 50 Lin, Guang 49 Antoine, Xavier 49 Givoli, Dan 49 Macías-Díaz, Jorge Eduardo 49 Nicholls, David P. 49 Shi, Baochang 49 Turkel, Eli L. 49 Zhang, Luming 48 Belytschko, Ted Bohdan 48 Dawson, Clint N. 48 Jameson, Antony 48 Khaliq, Abdul Q. M. 48 Manzini, Gianmarco 48 Munz, Claus-Dieter 48 Qian, Jianliang ...and 56,062 more Authors
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#### Cited in 938 Journals

 9,262 Journal of Computational Physics 3,362 Computers and Fluids 3,320 Computer Methods in Applied Mechanics and Engineering 3,264 Journal of Fluid Mechanics 2,023 Journal of Computational and Applied Mathematics 1,807 Journal of Scientific Computing 1,753 Computers & Mathematics with Applications 1,583 Applied Mathematics and Computation 1,375 Physics of Fluids 1,345 Applied Numerical Mathematics 1,045 International Journal for Numerical Methods in Fluids 993 SIAM Journal on Scientific Computing 969 Engineering Analysis with Boundary Elements 882 International Journal for Numerical Methods in Engineering 834 Applied Mathematical Modelling 622 Computational Mechanics 569 Mathematics of Computation 519 Numerische Mathematik 455 European Journal of Mechanics. B. Fluids 440 Computer Physics Communications 419 SIAM Journal on Numerical Analysis 402 Mathematics and Computers in Simulation 394 Numerical Algorithms 390 Physica D 379 International Journal of Computer Mathematics 371 Numerical Methods for Partial Differential Equations 336 Computational Geosciences 326 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 318 International Journal of Computational Fluid Dynamics 313 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 313 Mathematical Problems in Engineering 296 Journal of Mathematical Analysis and Applications 296 Applied Mathematics Letters 292 Advances in Computational Mathematics 272 International Journal of Heat and Mass Transfer 267 International Journal of Numerical Methods for Heat & Fluid Flow 265 Communications in Nonlinear Science and Numerical Simulation 252 Wave Motion 241 International Journal of Computational Methods 236 Communications in Numerical Methods in Engineering 235 BIT 218 Multiscale Modeling & Simulation 216 Computational and Applied Mathematics 210 Journal of Engineering Mathematics 204 Journal of Mathematical Physics 203 Mathematical and Computer Modelling 201 Acta Mechanica 199 Journal of Statistical Physics 192 Journal of Mathematical Chemistry 171 Mathematical Methods in the Applied Sciences 166 Applied Mathematics and Mechanics. (English Edition) 159 Flow, Turbulence and Combustion 155 SIAM/ASA Journal on Uncertainty Quantification 151 Advances in Difference Equations 150 Theoretical and Computational Fluid Dynamics 148 Acta Mechanica Sinica 144 Combustion Theory and Modelling 144 Comptes Rendus. Mathématique. Académie des Sciences, Paris 143 Computational Mathematics and Mathematical Physics 138 Inverse Problems in Science and Engineering 137 Chaos, Solitons and Fractals 134 SIAM Journal on Applied Mathematics 132 Inverse Problems 129 Journal of Differential Equations 129 International Journal of Modern Physics C 128 Abstract and Applied Analysis 123 Numerical Linear Algebra with Applications 122 Fluid Dynamics 119 Transport Theory and Statistical Physics 119 Chaos 115 Archives of Computational Methods in Engineering 109 Applicable Analysis 109 Linear Algebra and its Applications 108 ZAMP. Zeitschrift für angewandte Mathematik und Physik 105 Physics of Fluids, A 105 Nonlinear Dynamics 101 Bulletin of Mathematical Biology 101 Journal of Theoretical Biology 98 Calcolo 98 Journal of Computational Acoustics 97 Journal of Turbulence 96 Journal of Applied Mathematics 94 Matematicheskoe Modelirovanie 93 Journal of Nonlinear Science 92 Discrete and Continuous Dynamical Systems. Series B 91 Fractional Calculus & Applied Analysis 88 Journal of Mathematical Biology 88 SIAM Journal on Mathematical Analysis 86 Archive for Rational Mechanics and Analysis 86 Computing 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 85 International Journal of Engineering Science 85 Japan Journal of Industrial and Applied Mathematics 84 European Journal of Operational Research 84 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 84 Applied and Computational Harmonic Analysis 83 East Asian Journal on Applied Mathematics 81 International Journal of Applied and Computational Mathematics 80 Journal of Non-Newtonian Fluid Mechanics 79 Shock Waves ...and 838 more Journals
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#### Cited in 61 Fields

 30,657 Numerical analysis (65-XX) 28,834 Fluid mechanics (76-XX) 15,917 Partial differential equations (35-XX) 6,338 Mechanics of deformable solids (74-XX) 2,810 Statistical mechanics, structure of matter (82-XX) 2,557 Classical thermodynamics, heat transfer (80-XX) 2,412 Biology and other natural sciences (92-XX) 2,401 Optics, electromagnetic theory (78-XX) 1,978 Ordinary differential equations (34-XX) 1,833 Geophysics (86-XX) 1,459 Probability theory and stochastic processes (60-XX) 1,291 Calculus of variations and optimal control; optimization (49-XX) 1,290 Dynamical systems and ergodic theory (37-XX) 1,049 Computer science (68-XX) 921 Statistics (62-XX) 920 Quantum theory (81-XX) 907 Operations research, mathematical programming (90-XX) 858 Integral equations (45-XX) 758 Approximations and expansions (41-XX) 715 Real functions (26-XX) 578 Systems theory; control (93-XX) 535 Mechanics of particles and systems (70-XX) 489 Information and communication theory, circuits (94-XX) 476 Linear and multilinear algebra; matrix theory (15-XX) 440 Special functions (33-XX) 411 Harmonic analysis on Euclidean spaces (42-XX) 350 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 321 Operator theory (47-XX) 285 Astronomy and astrophysics (85-XX) 210 Global analysis, analysis on manifolds (58-XX) 208 Differential geometry (53-XX) 188 Integral transforms, operational calculus (44-XX) 180 Relativity and gravitational theory (83-XX) 157 Functions of a complex variable (30-XX) 144 Potential theory (31-XX) 144 Functional analysis (46-XX) 116 Difference and functional equations (39-XX) 111 Combinatorics (05-XX) 85 Number theory (11-XX) 82 General and overarching topics; collections (00-XX) 61 Convex and discrete geometry (52-XX) 59 History and biography (01-XX) 49 Measure and integration (28-XX) 28 Topological groups, Lie groups (22-XX) 24 Manifolds and cell complexes (57-XX) 21 Mathematics education (97-XX) 18 Algebraic geometry (14-XX) 17 Field theory and polynomials (12-XX) 16 Sequences, series, summability (40-XX) 16 Algebraic topology (55-XX) 15 Geometry (51-XX) 14 Group theory and generalizations (20-XX) 12 Mathematical logic and foundations (03-XX) 12 Several complex variables and analytic spaces (32-XX) 9 Commutative algebra (13-XX) 8 Nonassociative rings and algebras (17-XX) 8 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 5 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX)