×

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: 15,246 Publications (since 1966)
References Indexed: 14,235 Publications with 499,019 References.
all top 5

Authors

103 Shu, Chi-Wang
97 Karniadakis, George Em
67 Nordström, Jan
65 Xu, Kun
56 Osher, Stanley Joel
54 Adams, Nikolaus A.
50 Shashkov, Mikhail J.
46 Colella, Phillip
44 Dumbser, Michael
42 Chacón, Luis
42 Gibou, Frédéric
42 Jenny, Patrick
41 Balsara, Dinshaw S.
41 Zabaras, Nicholas J.
39 Boyd, John Philip
38 Sagaut, Pierre
37 Hesthaven, Jan S.
35 Greengard, Leslie F.
35 Moin, Parviz
35 Toro, Eleuterio F.
35 Turkel, Eli L.
34 Knoll, Dana A.
34 Lin, Guang
34 Shen, Jie
32 Qiu, Jianxian
32 Xiao, Feng
31 Fedkiw, Ronald P.
31 Tchelepi, Hamdi A.
30 Jin, Shi
30 Xiu, Dongbin
29 Abgrall, Rémi
29 Cai, Wei
29 Chung, Tsz Shun Eric
29 Efendiev, Yalchin R.
29 Koumoutsakos, Petros D.
29 Lowengrub, John Samuel
29 Nishikawa, Hiroaki
28 Degond, Pierre
28 Shu, Chang
27 Carpenter, Mark H.
27 Henshaw, William D.
27 Morel, Jim E.
27 Smolarkiewicz, Piotr K.
27 Tang, Huazhong
26 Brackbill, Jeremiah U.
26 Hou, Thomas Yizhao
26 Ying, Lexing
25 Banks, Jeffrey W.
25 Bao, Weizhu
25 Loubère, Raphaël
25 Peskin, Charles S.
25 Sethian, James A.
24 Antoine, Xavier
24 Gottlieb, David I.
24 Khoo, Boo Cheong
24 Luo, Lishi
24 Shadid, John N.
24 Yee, Helen C.
23 Christlieb, Andrew J.
23 Lai, Mingchih
23 Luo, Hong
23 Majda, Andrew J.
23 Shyy, Wei
23 Tartakovsky, Daniel M.
22 E, Weinan
22 Fornberg, Bengt
22 Gassner, Gregor J.
22 Koren, Barry
22 Kuzmin, Dmitri
22 Mattsson, Ken
22 Pope, Stephen Bailey
22 Sherwin, Spencer J.
22 Wang, Hong
21 Cockburn, Bernardo
21 Giraldo, Francis X.
21 Huang, Weizhang
21 Iaccarino, Gianluca
21 Munz, Claus-Dieter
21 Qiu, Jingmei
21 Vasilyev, Oleg V.
20 Bell, John B.
20 Bruno, Oscar P.
20 Colonius, Tim
20 Farhat, Charbel H.
20 Iollo, Angelo
20 Larsen, Edward W.
20 Liu, Hailiang
20 Merriman, Barry
20 Tornberg, Anna-Karin
20 Zhao, Hongkai
19 Engquist, Bjorn E.
19 Hajibeygi, Hadi
19 Liu, Chun
19 Monaghan, Joseph J.
19 Najm, Habib N.
19 Nguyen, Ngoc Cuong
19 Rokhlin, Vladimir
19 Saurel, Richard
19 Sjogreen, Bjorn
19 Tsai, Yen-Hsi Richard
...and 18,153 more Authors
all top 5

Fields

9,395 Numerical analysis (65-XX)
8,151 Fluid mechanics (76-XX)
3,510 Partial differential equations (35-XX)
1,341 Statistical mechanics, structure of matter (82-XX)
1,001 Optics, electromagnetic theory (78-XX)
884 Mechanics of deformable solids (74-XX)
584 Geophysics (86-XX)
537 Classical thermodynamics, heat transfer (80-XX)
486 Quantum theory (81-XX)
454 Biology and other natural sciences (92-XX)
336 Ordinary differential equations (34-XX)
299 Computer science (68-XX)
298 Probability theory and stochastic processes (60-XX)
254 Integral equations (45-XX)
245 Statistics (62-XX)
171 Dynamical systems and ergodic theory (37-XX)
158 Calculus of variations and optimal control; optimization (49-XX)
151 Astronomy and astrophysics (85-XX)
113 Special functions (33-XX)
111 Mechanics of particles and systems (70-XX)
109 Approximations and expansions (41-XX)
81 Operations research, mathematical programming (90-XX)
69 Systems theory; control (93-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
54 Relativity and gravitational theory (83-XX)
54 Information and communication theory, circuits (94-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
32 Integral transforms, operational calculus (44-XX)
30 Differential geometry (53-XX)
29 Functions of a complex variable (30-XX)
26 Global analysis, analysis on manifolds (58-XX)
22 Potential theory (31-XX)
20 Difference and functional equations (39-XX)
18 General and overarching topics; collections (00-XX)
17 Combinatorics (05-XX)
17 Real functions (26-XX)
17 Convex and discrete geometry (52-XX)
16 Operator theory (47-XX)
15 History and biography (01-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Functional analysis (46-XX)
9 Group theory and generalizations (20-XX)
7 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)
3 Manifolds and cell complexes (57-XX)
2 Commutative algebra (13-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)

Publications by Year

Citations contained in zbMATH Open

12,025 Publications have been cited 250,522 times in 66,315 Documents Cited by Year
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132
Osher, Stanley; Sethian, James A.
1988
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
Efficient implementation of weighted ENO schemes. Zbl 0877.65065
Jiang, Guang-Shan; Shu, Chi-Wang
1996
Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072
Shu, Chi-Wang; Osher, Stanley
1988
Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006
Lele, Sanjiva K.
1992
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223
van Leer, Bram
1979
Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020
Hirt, C. W.; Nichols, B. D.
1981
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Zbl 0511.76031
Ghia, U.; Ghia, K. N.; Shin, C. T.
1982
A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077
Sussman, Mark; Smereka, Peter; Osher, Stanley
947
1994
Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar
894
1987
A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129
Berenger, Jean-Pierre
894
1994
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
865
1994
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
854
1977
The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057
Woodward, Paul; Colella, Phillip
842
1984
A continuum method for modeling surface tension. Zbl 0775.76110
Brackbill, J. U.; Kothe, D. B.; Zemach, C.
837
1992
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
833
1989
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
815
1987
High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050
Harten, Ami
796
1983
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
749
1998
Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038
Kim, John; Moin, Parviz
749
1985
Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
Lin, Yumin; Xu, Chuanju
709
2007
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
604
1967
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Zbl 0957.76052
Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry; Osher, Stanley
595
1999
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063
Sod, Gary A.
594
1978
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
585
1972
A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
Hou, Thomas Y.; Wu, Xiao-Hui
571
1997
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093
Cockburn, Bernardo; Lin, San-Yih; Shu, Chi-Wang
564
1989
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040
Bassi, F.; Rebay, S.
558
1997
A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
Unverdi, Salih Ozen; Tryggvason, Grétar
552
1992
Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
Zalesak, Steven T.
483
1979
An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
Hirt, C. W.; Amsden, A. A.; Cook, J. L.
482
1974
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
468
2004
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073
Fadlun, E. A.; Verzicco, R.; Orlandi, P.; Mohd-Yusof, J.
455
2000
A front-tracking method for the computations of multiphase flow. Zbl 1047.76574
Tryggvason, G.; Bunner, B.; Esmaeeli, A.; Juric, D.; Al-Rawahi, N.; Tauber, W.; Han, J.; Nas, S.; Jan, Y.-J.
453
2001
Simulating free surface flows with SPH. Zbl 0794.76073
Monaghan, J. J.
453
1994
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
Poinsot, T. J.; Lele, S. K.
450
1992
Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
Berger, Marsha J.; Oliger, Joseph
440
1984
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
431
1984
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
Berger, M. J.; Colella, P.
418
1989
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
401
2000
Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
Tam, Christopher K. W.; Webb, Jay C.
398
1993
Exponential time differencing for stiff systems. Zbl 1005.65069
Cox, S. M.; Matthews, P. C.
396
2002
Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
Knoll, D. A.; Keyes, D. E.
396
2004
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
391
1991
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
Issa, R. I.
379
1986
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
Bell, John B.; Colella, Phillip; Glaz, Harland M.
375
1989
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
371
1984
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
Nessyahu, Haim; Tadmor, Eitan
370
1990
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun
361
2008
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
360
2001
Reconstructing volume tracking. Zbl 0933.76069
Rider, William J.; Kothe, Douglas B.
352
1998
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
341
1997
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
Uhlmann, Markus
333
2005
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
333
1974
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
321
2000
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
319
2000
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
318
1985
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
314
1999
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
312
1977
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
Jacqmin, David
311
1999
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
310
1999
Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
Boris, Jay P.; Book, David L.
299
1973
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
295
2000
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M.
291
2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
290
2002
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Zbl 1415.68175
Raissi, M.; Perdikaris, P.; Karniadakis, G. E.
287
2019
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
283
1998
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
283
1999
A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter
282
2006
An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon
282
2001
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
282
1981
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
Langlands, T. A. M.; Henry, B. I.
279
2005
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
277
1972
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
Alikhanov, Anatoly A.
276
2015
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
Goldstein, D.; Handler, R.; Sirovich, L.
273
1993
A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097
Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J.
272
2001
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
266
2003
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
262
2001
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
259
1991
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
258
2002
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
254
2003
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P.
253
1998
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.
249
1999
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
248
1996
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
244
2018
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
Cui, Mingrong
244
2009
Exact non-reflecting boundary conditions. Zbl 0671.65094
Keller, Joseph B.; Givoli, Dan
242
1989
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
235
1994
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi
235
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
234
2008
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
Popinet, Stéphane
232
2009
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
231
2000
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
230
1990
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
Plimpton, Steve
229
1995
Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011
Strand, Bo
227
1994
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
221
2010
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
221
2013
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.
218
1996
Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069
Turkel, Eli
218
1987
A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068
He, Xiaoyi; Chen, Shiyi; Doolen, Gary D.
217
1998
A multi-resolution SPH method for fluid-structure interactions. Zbl 07500760
Zhang, Chi; Rezavand, Massoud; Hu, Xiangyu
4
2021
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728
Di Pietro, Daniele A.; Droniou, Jérôme
2
2021
Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems. Zbl 07500743
Vahab, Mehdi; Sussman, Mark; Shoele, Kourosh
2
2021
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. Zbl 07501578
Tao, Zhanjing; Jiang, Yan; Cheng, Yingda
2
2021
Constitutive artificial neural networks: a fast and general approach to predictive data-driven constitutive modeling by deep learning. Zbl 07500745
Linka, Kevin; Hillgärtner, Markus; Abdolazizi, Kian P.; Aydin, Roland C.; Itskov, Mikhail; Cyron, Christian J.
1
2021
Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations. Zbl 07501579
Parada, Samuel; Codina, Ramon; Baiges, Joan
1
2021
MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell. Zbl 07501582
Holderied, Florian; Possanner, Stefan; Wang, Xin
1
2021
Adaptive deformation of 3D unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows. Zbl 07501586
Cirrottola, Luca; Ricchiuto, Mario; Froehly, Algiane; Re, Barbara; Guardone, Alberto; Quaranta, Giuseppe
1
2021
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 07501589
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
1
2021
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. Zbl 07501590
Hao, Wenrui; Sun, Pengtao; Xu, Jinchao; Zhang, Lian
1
2021
A high-order moment limiter for the discontinuous Galerkin method on triangular meshes. Zbl 07501595
Dutt, Krishna; Krivodonova, Lilia
1
2021
Solving inverse problems using conditional invertible neural networks. Zbl 07501600
Padmanabha, Govinda Anantha; Zabaras, Nicholas
1
2021
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
46
2020
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184
Lee, Kookjin; Carlberg, Kevin T.
42
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
26
2020
Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156
Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin
22
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
22
2020
A composite neural network that learns from multi-fidelity data: application to function approximation and inverse PDE problems. Zbl 1454.76006
Meng, Xuhui; Karniadakis, George Em
21
2020
Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. Zbl 1453.68165
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
18
2020
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
15
2020
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
15
2020
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
14
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
14
2020
Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130
Geneva, Nicholas; Zabaras, Nicholas
12
2020
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
12
2020
A weakly compressible SPH method for violent multi-phase flows with high density ratio. Zbl 1453.76170
Rezavand, Massoud; Zhang, Chi; Hu, Xiangyu
11
2020
An efficient class of WENO schemes with adaptive order for unstructured meshes. Zbl 1453.65208
Balsara, Dinshaw S.; Garain, Sudip; Florinski, Vladimir; Boscheri, Walter
11
2020
A hybrid Hermite WENO scheme for hyperbolic conservation laws. Zbl 1453.65264
Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian
11
2020
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. Zbl 1453.65266
Zhu, Jun; Shu, Chi-Wang
11
2020
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. Zbl 1436.76035
Zahr, M. J.; Shi, A.; Persson, P.-O.
11
2020
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437
Cai, Jiaxiang; Shen, Jie
10
2020
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
10
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
10
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
10
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
10
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.
10
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.
10
2020
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157
Yin, Weishi; Yang, Wenhong; Liu, Hongyu
10
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
9
2020
Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin
9
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
9
2020
Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation. Zbl 1453.65366
Wang, Tingchun; Wang, Jialing; Guo, Boling
9
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.
9
2020
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh. Zbl 1436.76038
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
9
2020
An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207
Guo, Ruchi; Lin, Tao
9
2020
Solving electrical impedance tomography with deep learning. Zbl 1453.65041
Fan, Yuwei; Ying, Lexing
8
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.
8
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
8
2020
Data driven approximation of parametrized PDEs by reduced basis and neural networks. Zbl 1437.65224
Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca
8
2020
A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173
Wang, Zhongjian; Zhang, Zhiwen
7
2020
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. Zbl 1453.65357
Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara
7
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
7
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
7
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
7
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
7
2020
Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055
Li, Wuchen; Lu, Jianfeng; Wang, Li
7
2020
An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. Zbl 1453.76078
Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice
6
2020
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
6
2020
Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks. Zbl 1453.65021
Karumuri, Sharmila; Tripathy, Rohit; Bilionis, Ilias; Panchal, Jitesh
6
2020
A directional ghost-cell immersed boundary method for incompressible flows. Zbl 1453.76123
Chi, Cheng; Abdelsamie, Abouelmagd; Thévenin, Dominique
6
2020
Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs. Zbl 1453.65280
Dektor, Alec; Venturi, Daniele
6
2020
A nonlinear moment model for radiative transfer equation in slab geometry. Zbl 1453.65248
Fan, Yuwei; Li, Ruo; Zheng, Lingchao
6
2020
Dual-criteria time stepping for weakly compressible smoothed particle hydrodynamics. Zbl 1453.76172
Zhang, Chi; Rezavand, Massoud; Hu, Xiangyu
6
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
6
2020
Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows. Zbl 1453.76153
Moura, Rodrigo C.; Aman, Mansoor; Peiró, Joaquim; Sherwin, Spencer J.
6
2020
Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
6
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
6
2020
Adjoint-based anisotropic \(hp\)-adaptation for discontinuous Galerkin methods using a continuous mesh model. Zbl 1435.65220
Rangarajan, Ajay; May, Georg; Dolejsi, Vit
6
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
6
2020
Local meshless methods for second order elliptic interface problems with sharp corners. Zbl 1437.65208
Ahmad, Masood; Siraj-ul-Islam; Larsson, Elisabeth
6
2020
Regularized ensemble Kalman methods for inverse problems. Zbl 1437.62116
Zhang, Xin-Lei; Michelén-Ströfer, Carlos; Xiao, Heng
6
2020
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. Zbl 1437.74026
Fu, Shubin; Chung, Eric; Mai, Tina
6
2020
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033
Zhao, Zhuang; Qiu, Jianxian
6
2020
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations. Zbl 1440.76094
Boscheri, Walter; Dimarco, Giacomo; Loubère, Raphaël; Tavelli, Maurizio; Vignal, Marie-Hélène
6
2020
An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries. Zbl 1440.76117
Ma, Jingtao; Wang, Zhen; Young, John; Lai, Joseph C. S.; Sui, Yi; Tian, Fang-Bao
6
2020
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. Zbl 1440.65135
Fehn, Niklas; Munch, Peter; Wall, Wolfgang A.; Kronbichler, Martin
6
2020
An immersed interface method for discrete surfaces. Zbl 1453.76075
Kolahdouz, Ebrahim M.; Bhalla, Amneet Pal Singh; Craven, Brent A.; Griffith, Boyce E.
5
2020
A low dissipation method to cure the grid-aligned shock instability. Zbl 1453.76092
Fleischmann, Nico; Adami, Stefan; Hu, Xiangyu Y.; Adams, Nikolaus A.
5
2020
Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. Zbl 1453.65438
Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner
5
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
5
2020
A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation. Zbl 1453.65338
Manzanero, Juan; Rubio, Gonzalo; Kopriva, David A.; Ferrer, Esteban; Valero, Eusebio
5
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
5
2020
Deep multiscale model learning. Zbl 1454.76008
Wang, Yating; Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Wang, Min
5
2020
Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods. Zbl 1436.76016
Ciallella, Mirco; Ricchiuto, Mario; Paciorri, Renato; Bonfiglioli, Aldo
5
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.
5
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.
5
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.
5
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
5
2020
A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
5
2020
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. Zbl 1437.76041
Liu, Chun; Wang, Yiwei
5
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.
5
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.
5
2020
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows. Zbl 1440.76139
Xiao, Tianbai; Liu, Chang; Xu, Kun; Cai, Qingdong
5
2020
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
4
2020
A weighted meshfree collocation method for incompressible flows using radial basis functions. Zbl 1453.65364
Wang, Lihua; Qian, Zhihao; Zhou, Yueting; Peng, Yongbo
4
2020
Entropic quadrature for moment approximations of the Boltzmann-BGK equation. Zbl 1453.76061
Böhmer, Niclas; Torrilhon, Manuel
4
2020
A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. Zbl 1453.86025
Lee, D.; Palha, A.
4
2020
A face-area-weighted ‘centroid’ formula for finite-volume method that improves skewness and convergence on triangular grids. Zbl 1453.65258
Nishikawa, Hiroaki
4
2020
A 3D conservative sharp interface method for simulation of compressible two-phase flows. Zbl 1453.76111
Shen, Yi; Ren, Yi; Ding, Hang
4
2020
Second-order semi-implicit projection methods for micromagnetics simulations. Zbl 1453.82093
Xie, Changjian; García-Cervera, Carlos J.; Wang, Cheng; Zhou, Zhennan; Chen, Jingrun
4
2020
...and 467 more Documents
all top 5

Cited by 61,298 Authors

248 Shu, Chi-Wang
236 Dehghan Takht Fooladi, Mehdi
182 Karniadakis, George Em
169 Simos, Theodore E.
120 Chung, Tsz Shun Eric
120 Liu, Fawang
118 Dumbser, Michael
111 Nordström, Jan
103 Shen, Jie
102 Wang, Hong
101 Shu, Chang
100 Boyd, John Philip
99 Xu, Kun
94 Sagaut, Pierre
93 Băleanu, Dumitru I.
92 Hughes, Thomas J. R.
91 Hesthaven, Jan S.
91 Huang, Yunqing
89 He, Yinnian
89 Kim, Junseok
89 Yang, Xiaofeng
88 Liu, Wing Kam
87 Adams, Nikolaus A.
86 Qiu, Jianxian
84 Jin, Shi
84 Turner, Ian William
83 Tezduyar, Tayfun E.
81 Quarteroni, Alfio M.
81 Sheu, Tony Wen-Hann
81 Verzicco, Roberto
79 Bazilevs, Yuri
79 Shashkov, Mikhail J.
78 Seaïd, Mohammed
78 Toro, Eleuterio F.
77 Khoo, Boo Cheong
76 Codina, Ramon
76 Li, Jichun
75 Osher, Stanley Joel
73 Bao, Weizhu
73 Sherwin, Spencer J.
72 Majda, Andrew J.
71 Oñate Ibáñez de Navarra, Eugenio
70 Abgrall, Rémi
70 Feng, Xinlong
70 Rebholz, Leo G.
69 Efendiev, Yalchin R.
68 Du, Qiang
68 Glowinski, Roland
68 Wang, Cheng
66 Zhang, Zhimin
65 Farhat, Charbel H.
65 Wang, Yushun
64 Sun, Zhizhong
63 Abbaszadeh, Mostafa
63 Bhrawy, Ali Hassan
63 Lin, Guang
63 Liu, Gui-Rong
63 Wall, Wolfgang A.
62 Schwab, Christoph
62 Sun, Shuyu
62 Takizawa, Kenji
61 Antoine, Xavier
61 Chen, Wen
61 Cockburn, Bernardo
60 Ying, Lexing
59 Lowengrub, John Samuel
59 Vuik, Cornelis
59 Wheeler, Mary Fanett
59 Yuan, Guangwei
58 Guermond, Jean-Luc
58 Li, Zhilin
58 Macías-Díaz, Jorge Eduardo
58 Mohanty, Ranjan Kumar
57 Doha, Eid H.
57 Gunzburger, Max D.
57 Kurganov, Alexander
57 Löhner, Rainald
56 Hou, Thomas Yizhao
56 Liu, Tiegang
56 Rozza, Gianluigi
55 Degond, Pierre
55 Greengard, Leslie F.
55 Jenny, Patrick
55 Liu, Hailiang
55 Lohse, Detlef
55 Manzini, Gianmarco
54 Kuzmin, Dmitri
54 Munz, Claus-Dieter
54 Oden, John Tinsley
54 Rabczuk, Timon
54 Shi, Baochang
54 Tchelepi, Hamdi A.
54 Zhang, Jun
53 Bürger, Raimund
53 Moin, Parviz
53 Nicholls, David P.
53 Schneider, Kai
53 Shyy, Wei
53 Turkel, Eli L.
52 Givoli, Dan
...and 61,198 more Authors
all top 5

Cited in 984 Journals

10,103 Journal of Computational Physics
3,702 Computer Methods in Applied Mechanics and Engineering
3,656 Computers and Fluids
3,556 Journal of Fluid Mechanics
2,112 Journal of Computational and Applied Mathematics
1,912 Journal of Scientific Computing
1,853 Computers & Mathematics with Applications
1,701 Applied Mathematics and Computation
1,399 Applied Numerical Mathematics
1,375 Physics of Fluids
1,073 SIAM Journal on Scientific Computing
1,045 International Journal for Numerical Methods in Fluids
1,019 Engineering Analysis with Boundary Elements
887 Applied Mathematical Modelling
882 International Journal for Numerical Methods in Engineering
694 Computational Mechanics
581 Mathematics of Computation
549 Numerische Mathematik
531 International Journal of Computer Mathematics
514 Communications in Computational Physics
507 International Journal of Computational Fluid Dynamics
503 European Journal of Mechanics. B. Fluids
465 Mathematics and Computers in Simulation
446 SIAM Journal on Numerical Analysis
443 Physica D
440 Computer Physics Communications
436 Numerical Algorithms
383 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
371 Numerical Methods for Partial Differential Equations
368 Computational Geosciences
343 Applied Mathematics Letters
339 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
317 Advances in Computational Mathematics
311 Mathematical Problems in Engineering
306 Journal of Mathematical Analysis and Applications
295 Communications in Nonlinear Science and Numerical Simulation
281 Wave Motion
272 International Journal of Heat and Mass Transfer
271 Computational and Applied Mathematics
267 International Journal of Numerical Methods for Heat & Fluid Flow
263 International Journal of Computational Methods
261 Combustion Theory and Modelling
252 Advances in Applied Mathematics and Mechanics
246 BIT
243 Journal of Engineering Mathematics
236 Communications in Numerical Methods in Engineering
235 Multiscale Modeling & Simulation
227 Acta Mechanica
207 Journal of Mathematical Physics
204 Journal of Statistical Physics
203 Mathematical and Computer Modelling
200 Journal of Mathematical Chemistry
198 Advances in Difference Equations
184 Chaos, Solitons and Fractals
171 Mathematical Methods in the Applied Sciences
169 SIAM/ASA Journal on Uncertainty Quantification
166 Applied Mathematics and Mechanics. (English Edition)
159 Flow, Turbulence and Combustion
158 Computational Mathematics and Mathematical Physics
158 Inverse Problems in Science and Engineering
153 SIAM Journal on Applied Mathematics
150 Theoretical and Computational Fluid Dynamics
150 Acta Mechanica Sinica
147 Comptes Rendus. Mathématique. Académie des Sciences, Paris
141 Journal of Differential Equations
138 Inverse Problems
131 Abstract and Applied Analysis
129 International Journal of Modern Physics C
128 Fluid Dynamics
123 Applicable Analysis
123 Numerical Linear Algebra with Applications
119 Transport Theory and Statistical Physics
119 Chaos
119 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
115 Archives of Computational Methods in Engineering
112 Calcolo
110 ZAMP. Zeitschrift für angewandte Mathematik und Physik
109 Linear Algebra and its Applications
105 Physics of Fluids, A
105 Nonlinear Dynamics
105 Matematicheskoe Modelirovanie
104 Fractional Calculus & Applied Analysis
102 Discrete and Continuous Dynamical Systems. Series B
102 East Asian Journal on Applied Mathematics
101 Bulletin of Mathematical Biology
101 Journal of Theoretical Biology
98 SIAM Journal on Mathematical Analysis
98 Journal of Applied Mathematics
98 Journal of Computational Acoustics
98 International Journal of Applied and Computational Mathematics
97 Journal of Turbulence
96 Physica A
94 Journal of Nonlinear Science
93 Japan Journal of Industrial and Applied Mathematics
91 Archive for Rational Mechanics and Analysis
91 Journal of Mathematical Biology
89 International Journal of Engineering Science
89 European Journal of Operational Research
87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
87 Computational Methods in Applied Mathematics
...and 884 more Journals
all top 5

Cited in 61 Fields

34,112 Numerical analysis (65-XX)
31,674 Fluid mechanics (76-XX)
17,798 Partial differential equations (35-XX)
7,038 Mechanics of deformable solids (74-XX)
3,198 Statistical mechanics, structure of matter (82-XX)
2,788 Classical thermodynamics, heat transfer (80-XX)
2,655 Biology and other natural sciences (92-XX)
2,611 Optics, electromagnetic theory (78-XX)
2,143 Ordinary differential equations (34-XX)
2,017 Geophysics (86-XX)
1,643 Probability theory and stochastic processes (60-XX)
1,461 Calculus of variations and optimal control; optimization (49-XX)
1,407 Computer science (68-XX)
1,400 Dynamical systems and ergodic theory (37-XX)
1,118 Statistics (62-XX)
1,027 Quantum theory (81-XX)
1,027 Operations research, mathematical programming (90-XX)
947 Integral equations (45-XX)
933 Real functions (26-XX)
842 Approximations and expansions (41-XX)
677 Systems theory; control (93-XX)
594 Mechanics of particles and systems (70-XX)
560 Information and communication theory, circuits (94-XX)
538 Linear and multilinear algebra; matrix theory (15-XX)
484 Special functions (33-XX)
454 Harmonic analysis on Euclidean spaces (42-XX)
401 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
376 Operator theory (47-XX)
318 Astronomy and astrophysics (85-XX)
242 Differential geometry (53-XX)
231 Relativity and gravitational theory (83-XX)
229 Global analysis, analysis on manifolds (58-XX)
206 Integral transforms, operational calculus (44-XX)
170 Functional analysis (46-XX)
167 Functions of a complex variable (30-XX)
156 Potential theory (31-XX)
137 Difference and functional equations (39-XX)
130 Combinatorics (05-XX)
93 General and overarching topics; collections (00-XX)
90 Number theory (11-XX)
69 Convex and discrete geometry (52-XX)
63 History and biography (01-XX)
59 Measure and integration (28-XX)
29 Topological groups, Lie groups (22-XX)
28 Manifolds and cell complexes (57-XX)
23 Mathematics education (97-XX)
21 Algebraic geometry (14-XX)
18 Field theory and polynomials (12-XX)
17 Group theory and generalizations (20-XX)
17 Sequences, series, summability (40-XX)
17 Geometry (51-XX)
17 Algebraic topology (55-XX)
16 Mathematical logic and foundations (03-XX)
12 Several complex variables and analytic spaces (32-XX)
11 Commutative algebra (13-XX)
9 Nonassociative rings and algebras (17-XX)
9 Abstract harmonic analysis (43-XX)
9 General topology (54-XX)
6 Associative rings and algebras (16-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)

Citations by Year