×

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
Comments: Journal
Documents Indexed: 16,484 Publications (since 1966)
References Indexed: 15,465 Publications with 563,402 References.
all top 5

Authors

114 Shu, Chi-Wang
105 Karniadakis, George Em
76 Nordström, Jan
67 Xu, Kun
63 Osher, Stanley Joel
61 Adams, Nikolaus A.
53 Shashkov, Mikhail J.
48 Gibou, Frédéric
48 Jenny, Patrick
47 Dumbser, Michael
46 Colella, Phillip
43 Chacón, Luis
41 Balsara, Dinshaw S.
41 Lin, Guang
41 Shu, Chang
41 Zabaras, Nicholas J.
40 Hu, Xiangyu Y.
39 Boyd, John Philip
38 Hesthaven, Jan S.
38 Qiu, Jianxian
38 Sagaut, Pierre
38 Turkel, Eli L.
37 Moin, Parviz
37 Toro, Eleuterio Francisco
37 Xiao, Feng
36 Greengard, Leslie F.
35 Tchelepi, Hamdi A.
34 Efendiev, Yalchin R.
34 Jin, Shi
34 Knoll, Dana A.
34 Shen, Jie
33 Nishikawa, Hiroaki
32 Abgrall, Rémi
32 Xiu, Dongbin
31 Fedkiw, Ronald P.
31 Lowengrub, John Samuel
31 Tang, Huazhong
30 Cai, Wei
29 Chung, Tsz Shun Eric
29 Koumoutsakos, Petros D.
29 Ying, Lexing
28 Carpenter, Mark H.
28 Degond, Pierre
28 Henshaw, William D.
28 Morel, Jim E.
28 Smolarkiewicz, Piotr K.
27 Lai, Mingchih
27 Loubère, Raphaël
26 Banks, Jeffrey W.
26 Brackbill, Jeremiah U.
26 Dong, Suchuan
26 Hou, Thomas Yizhao
26 Peskin, Charles S.
26 Tartakovsky, Daniel M.
25 Antoine, Xavier
25 Bao, Weizhu
25 Gassner, Gregor J.
25 Khoo, Boo Cheong
25 Luo, Hong
25 Sethian, James A.
25 Shadid, John N.
25 Shyy, Wei
25 Wang, Zhijian
24 Christlieb, Andrew J.
24 Giraldo, Francis X.
24 Gottlieb, David I.
24 Kuzmin, Dmitri
24 Lipnikov, Konstantin N.
24 Luo, Lishi
24 Sherwin, Spencer J.
24 Sun, Shuyu
24 Yee, Helen C.
23 Farhat, Charbel H.
23 Fornberg, Bengt
23 Iollo, Angelo
23 Koren, Barry
23 Majda, Andrew J.
23 Nguyen, Ngoc Cuong
23 Qiu, Jingmei
23 Russo, Giovanni
23 Tornberg, Anna-Karin
22 E, Weinan
22 Huang, Weizhang
22 Mattsson, Ken
22 Pope, Stephen Bailey
22 Schwendeman, Donald William
22 Wang, Hong
22 Wang, Xiaoping
21 Bell, John B.
21 Bruno, Oscar P.
21 Cockburn, Bernardo
21 Ferrer, Esteban
21 Hajibeygi, Hadi
21 Iaccarino, Gianluca
21 Liu, Hailiang
21 Vasilyev, Oleg V.
20 Griffith, Boyce E.
20 Lapenta, Giovanni
20 Larsen, Edward W.
20 Liu, Chun
...and 20,054 more Authors
all top 5

Fields

10,385 Numerical analysis (65-XX)
8,845 Fluid mechanics (76-XX)
3,871 Partial differential equations (35-XX)
1,412 Statistical mechanics, structure of matter (82-XX)
1,045 Optics, electromagnetic theory (78-XX)
970 Mechanics of deformable solids (74-XX)
611 Geophysics (86-XX)
551 Classical thermodynamics, heat transfer (80-XX)
502 Quantum theory (81-XX)
488 Biology and other natural sciences (92-XX)
419 Computer science (68-XX)
357 Probability theory and stochastic processes (60-XX)
345 Ordinary differential equations (34-XX)
275 Statistics (62-XX)
254 Integral equations (45-XX)
188 Dynamical systems and ergodic theory (37-XX)
176 Calculus of variations and optimal control; optimization (49-XX)
156 Astronomy and astrophysics (85-XX)
135 Approximations and expansions (41-XX)
117 Mechanics of particles and systems (70-XX)
116 Special functions (33-XX)
109 Operations research, mathematical programming (90-XX)
82 Systems theory; control (93-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
61 Information and communication theory, circuits (94-XX)
55 Relativity and gravitational theory (83-XX)
32 Integral transforms, operational calculus (44-XX)
31 Functions of a complex variable (30-XX)
31 Differential geometry (53-XX)
28 Global analysis, analysis on manifolds (58-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Real functions (26-XX)
22 Potential theory (31-XX)
21 General and overarching topics; collections (00-XX)
20 Difference and functional equations (39-XX)
18 Combinatorics (05-XX)
18 Convex and discrete geometry (52-XX)
16 Operator theory (47-XX)
15 History and biography (01-XX)
11 Functional analysis (46-XX)
9 Number theory (11-XX)
9 Group theory and generalizations (20-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 Commutative algebra (13-XX)
3 Manifolds and cell complexes (57-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

13,758 Publications have been cited 304,397 times in 77,466 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
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
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
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
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077
Sussman, Mark; Smereka, Peter; Osher, Stanley
1994
Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar
1987
The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057
Woodward, Paul; Colella, Phillip
1984
A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129
Berenger, Jean-Pierre
1994
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
967
1989
A continuum method for modeling surface tension. Zbl 0775.76110
Brackbill, J. U.; Kothe, D. B.; Zemach, C.
957
1992
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
956
1977
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
917
1987
Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
Lin, Yumin; Xu, Chuanju
894
2007
High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050
Harten, Ami
892
1983
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
881
1998
Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038
Kim, John; Moin, Parviz
804
1985
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.
789
2019
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063
Sod, Gary A.
724
1978
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
699
1972
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
693
1999
A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
Hou, Thomas Y.; Wu, Xiao-Hui
659
1997
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
658
1967
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.
655
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
640
1989
A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
Unverdi, Salih Ozen; Tryggvason, Grétar
624
1992
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
583
2004
Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
Zalesak, Steven T.
540
1979
An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
Hirt, C. W.; Amsden, A. A.; Cook, J. L.
538
1974
Simulating free surface flows with SPH. Zbl 0794.76073
Monaghan, J. J.
529
1994
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.
505
2001
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.
502
2000
Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
Berger, Marsha J.; Oliger, Joseph
499
1984
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun
498
2008
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
Poinsot, T. J.; Lele, S. K.
492
1992
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
482
2000
Exponential time differencing for stiff systems. Zbl 1005.65069
Cox, S. M.; Matthews, P. C.
479
2002
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
Berger, M. J.; Colella, P.
474
1989
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
470
1984
Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
Knoll, D. A.; Keyes, D. E.
449
2004
Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
Tam, Christopher K. W.; Webb, Jay C.
441
1993
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
Bell, John B.; Colella, Phillip; Glaz, Harland M.
438
1989
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
Nessyahu, Haim; Tadmor, Eitan
430
1990
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
423
2018
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
Issa, R. I.
423
1986
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
420
1984
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
417
1991
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
393
1997
Reconstructing volume tracking. Zbl 0933.76069
Rider, William J.; Kothe, Douglas B.
392
1998
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
391
2001
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M.
387
2005
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
Uhlmann, Markus
387
2005
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
Alikhanov, Anatoly A.
383
2015
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
379
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
378
1999
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
377
1999
DGM: a deep learning algorithm for solving partial differential equations. Zbl 1416.65394
Sirignano, Justin; Spiliopoulos, Konstantinos
365
2018
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
365
1974
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
364
2000
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
Jacqmin, David
354
1999
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
354
1977
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
342
1985
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
326
2002
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
325
2000
Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
Boris, Jay P.; Book, David L.
324
1973
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
322
1998
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
Langlands, T. A. M.; Henry, B. I.
319
2005
An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon
315
2001
A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter
313
2006
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
313
1999
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
312
2010
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
308
2003
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
308
1991
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
Goldstein, D.; Handler, R.; Sirovich, L.
306
1993
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
305
1972
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
304
2013
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
302
2003
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
Popinet, Stéphane
302
2009
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
301
1996
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
299
1981
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.
298
2001
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
295
2008
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
293
2001
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
Plimpton, Steve
287
1995
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
285
2002
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
283
2010
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P.
281
1998
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
277
1994
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.
270
1999
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. Zbl 1211.65108
Castro, Marcos; Costa, Bruno; Don, Wai Sun
268
2011
Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011
Strand, Bo
266
1994
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
265
2000
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
Cui, Mingrong
263
2009
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi
259
1994
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
258
2000
Exact non-reflecting boundary conditions. Zbl 0671.65094
Keller, Joseph B.; Givoli, Dan
256
1989
Self-adaptive physics-informed neural networks. Zbl 07640528
McClenny, Levi D.; Braga-Neto, Ulisses M.
14
2023
Uncertainty quantification in scientific machine learning: methods, metrics, and comparisons. Zbl 07652802
Psaros, Apostolos F.; Meng, Xuhui; Zou, Zongren; Guo, Ling; Karniadakis, George Em
7
2023
Stencil selection algorithms for WENO schemes on unstructured meshes. Zbl 07649256
Tsoutsanis, Panagiotis
7
2023
DAS-PINNs: a deep adaptive sampling method for solving high-dimensional partial differential equations. Zbl 07652779
Tang, Kejun; Wan, Xiaoliang; Yang, Chao
5
2023
Controlling conservation laws. I: entropy-entropy flux. Zbl 07662518
Li, Wuchen; Liu, Siting; Osher, Stanley
5
2023
Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. Zbl 07652817
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin
4
2023
Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. Zbl 07649272
Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Chan, Jesse; Gassner, Gregor J.
4
2023
Long-time integration of parametric evolution equations with physics-informed DeepONets. Zbl 07649276
Wang, Sifan; Perdikaris, Paris
4
2023
Moments-based interface reconstruction, remap and advection. Zbl 07660355
Shashkov, Mikhail; Kikinzon, Eugene
4
2023
On the influence of over-parameterization in manifold based surrogates and deep neural operators. Zbl 07660362
Kontolati, Katiana; Goswami, Somdatta; Shields, Michael D.; Karniadakis, George Em
4
2023
Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes. Zbl 07625424
Maltsev, Vadim; Yuan, Dean; Jenkins, Karl W.; Skote, Martin; Tsoutsanis, Panagiotis
4
2023
Stabilized neural ordinary differential equations for long-time forecasting of dynamical systems. Zbl 07640581
Linot, Alec J.; Burby, Joshua W.; Tang, Qi; Balaprakash, Prasanna; Graham, Michael D.; Maulik, Romit
4
2023
A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Zbl 07652785
Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana
3
2023
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. Zbl 07649271
Lin, Yimin; Chan, Jesse; Tomas, Ignacio
3
2023
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes. Zbl 07649292
Khanwale, Makrand A.; Saurabh, Kumar; Ishii, Masado; Sundar, Hari; Rossmanith, James A.; Ganapathysubramanian, Baskar
3
2023
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow. Zbl 07649294
Coppola, Gennaro; Veldman, Arthur E. P.
3
2023
A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. Zbl 07660345
Africa, P. C.; Salvador, M.; Gervasio, P.; Dede’, L.; Quarteroni, A.
3
2023
Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm. Zbl 07690209
Luo, Dingcheng; Cao, Lianghao; Chen, Peng; Ghattas, Omar; Oden, J. Tinsley
3
2023
Recursive formulation and parallel implementation of multiscale mixed methods. Zbl 07625379
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S.
3
2023
A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates. Zbl 07625390
Liu, Wei; Xie, Ziqing; Yuan, Yongjun
3
2023
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. Zbl 07640533
Efendiev, Yalchin; Leung, Wing Tat
3
2023
Neural operator prediction of linear instability waves in high-speed boundary layers. Zbl 07640550
Clark Di Leoni, Patricio; Lu, Lu; Meneveau, Charles; Karniadakis, George Em; Zaki, Tamer A.
3
2023
An efficient hybrid multi-resolution WCNS scheme for solving compressible flows. Zbl 07652797
Wang, Zhenming; Zhu, Jun; Wang, Chunwu; Zhao, Ning
2
2023
Investigations on a high order SPH scheme using WENO reconstruction. Zbl 07652799
Vergnaud, A.; Oger, G.; Le Touzé, D.
2
2023
Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells. Zbl 07649263
Kromer, Johannes; Bothe, Dieter
2
2023
Surrogate modeling for Bayesian inverse problems based on physics-informed neural networks. Zbl 07649264
Li, Yongchao; Wang, Yanyan; Yan, Liang
2
2023
Parametric dynamic mode decomposition for reduced order modeling. Zbl 07649273
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo
2
2023
Temporal accuracy of FastRK3. Zbl 07649274
Aithal, Abhiram B.; Tipirneni, Mira; Ferrante, Antonino
2
2023
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. Zbl 07649287
Pimentel-García, Ernesto; Müller, Lucas O.; Toro, Eleuterio F.; Parés, Carlos
2
2023
Data-driven control of agent-based models: an equation/variable-free machine learning approach. Zbl 07660326
Patsatzis, Dimitrios G.; Russo, Lucia; Kevrekidis, Ioannis G.; Siettos, Constantinos
2
2023
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. Zbl 07660332
Abu-Labdeh, Razan; MacLachlan, Scott; Farrell, Patrick E.
2
2023
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. Zbl 07662519
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
2
2023
Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement. Zbl 07662520
Du, Shukai; Stechmann, Samuel N.
2
2023
A robust and conservative dynamical low-rank algorithm. Zbl 07679183
Einkemmer, Lukas; Ostermann, Alexander; Scalone, Carmela
2
2023
Computational mean-field games on manifolds. Zbl 07679184
Yu, Jiajia; Lai, Rongjie; Li, Wuchen; Osher, Stanley
2
2023
A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms. Zbl 07696975
Bürkner, Paul-Christian; Kröker, Ilja; Oladyshkin, Sergey; Nowak, Wolfgang
2
2023
Unbiased estimation using a class of diffusion processes. Zbl 07620351
Ruzayqat, Hamza; Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas
2
2023
Committor functions via tensor networks. Zbl 07620352
Chen, Yian; Hoskins, Jeremy; Khoo, Yuehaw; Lindsey, Michael
2
2023
A primal-dual approach for solving conservation laws with implicit in time approximations. Zbl 07620354
Liu, Siting; Osher, Stanley; Li, Wuchen; Shu, Chi-Wang
2
2023
A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws. Zbl 07620360
Zhang, Min; Zhao, Zhuang
2
2023
A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes. Zbl 07620362
Kou, Jiaqing; Ferrer, Esteban
2
2023
A semi-implicit meshless method for incompressible flows in complex geometries. Zbl 07620379
Shahane, Shantanu; Vanka, Surya Pratap
2
2023
Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference. Zbl 07625381
Issan, Opal; Kramer, Boris
2
2023
A dynamic mass transport method for Poisson-Nernst-Planck equations. Zbl 07625383
Liu, Hailiang; Maimaitiyiming, Wumaier
2
2023
Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. Zbl 07625385
Bukač, Martina; Fu, Guosheng; Seboldt, Anyastassia; Trenchea, Catalin
2
2023
B-DeepONet: an enhanced Bayesian deeponet for solving noisy parametric PDEs using accelerated replica exchange SGLD. Zbl 07625386
Lin, Guang; Moya, Christian; Zhang, Zecheng
2
2023
Local characteristic decomposition based central-upwind scheme. Zbl 07625389
Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
2
2023
Optimal control of PDEs using physics-informed neural networks. Zbl 07625400
Mowlavi, Saviz; Nabi, Saleh
2
2023
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. Zbl 07625408
Alireza Mirhoseini, Marzieh; Zahr, Matthew J.
2
2023
Well-balanced path-conservative central-upwind schemes based on flux globalization. Zbl 07640539
Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao
2
2023
Tensor-product-Thomas elliptic solver for liquid-metal magnetohydrodynamics. Zbl 07640543
Krasnov, Dmitry; Akhtari, Ali; Zikanov, Oleg; Schumacher, Jörg
2
2023
Two-phase free-surface flow interaction with moving bodies using a consistent, momentum preserving method. Zbl 07640553
van der Eijk, Martin; Wellens, Peter
2
2023
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. Zbl 07696996
Chen, Wei; Wu, Kailiang; Xiong, Tao
2
2023
gLaSDI: parametric physics-informed greedy latent space dynamics identification. Zbl 07705908
He, Xiaolong; Choi, Youngsoo; Fries, William D.; Belof, Jonathan L.; Chen, Jiun-Shyan
2
2023
A neural network warm-start approach for the inverse acoustic obstacle scattering problem. Zbl 07715260
Zhou, Mo; Han, Jiequn; Rachh, Manas; Borges, Carlos
2
2023
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. Zbl 07742900
Sun, Jingwei; Zhang, Hong; Qian, Xu; Song, Songhe
2
2023
A numerical method for solving snapping out Brownian motion in 2D bounded domains. Zbl 07748065
Schumm, Ryan D.; Bressloff, Paul C.
2
2023
Automated tuning for the parameters of linear solvers. Zbl 07766238
Petrushov, Andrey; Krasnopolsky, Boris
2
2023
An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on leidenfrost droplet. Zbl 07771282
Mialhe, Guillaume; Tanguy, Sébastien; Tranier, Léo; Popescu, Elena-Roxana; Legendre, Dominique
2
2023
Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. Zbl 07771286
Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp
2
2023
A computational model for transport of immiscible scalars in two-phase flows. Zbl 07652776
Jain, Suhas S.; Mani, Ali
1
2023
A multigrid solver for the coupled pressure-temperature equations in an all-Mach solver with VoF. Zbl 07652778
Saade, Youssef; Lohse, Detlef; Fuster, Daniel
1
2023
Energy-conserving formulation of the CSF model for the simulation of surface tension at fluid-fluid interfaces with smoothed particle hydrodynamics. Zbl 07652783
Brugger, Matthias; Traxl, Roland; Lackner, Roman
1
2023
Fractional-step Runge-Kutta methods: representation and linear stability analysis. Zbl 07652787
Spiteri, Raymond J.; Wei, Siqi
1
2023
An interface and geometry preserving phase-field method for fully Eulerian fluid-structure interaction. Zbl 07652788
Mao, Xiaoyu; Jaiman, Rajeev
1
2023
Pressure data-driven variational multiscale reduced order models. Zbl 07652789
Ivagnes, Anna; Stabile, Giovanni; Mola, Andrea; Iliescu, Traian; Rozza, Gianluigi
1
2023
Locally-symplectic neural networks for learning volume-preserving dynamics. Zbl 07652792
Bajārs, Jānis
1
2023
Extension of dynamic mode decomposition for dynamic systems with incomplete information based on t-model of optimal prediction. Zbl 07652793
Katrutsa, Aleksandr; Utyuzhnikov, Sergey; Oseledets, Ivan
1
2023
The extreme mesh deformation approach (X-MESH) for the Stefan phase change model. Zbl 07652798
Moës, Nicolas; Remacle, Jean-François; Lambrechts, Jonathan; Lé, Benoît; Chevaugeon, Nicolas
1
2023
Analyzing and predicting non-equilibrium many-body dynamics via dynamic mode decomposition. Zbl 07652805
Yin, Jia; Chan, Yang-hao; da Jornada, Felipe H.; Qiu, Diana Y.; Yang, Chao; Louie, Steven G.
1
2023
A metalearning approach for physics-informed neural networks (PINNs): application to parameterized PDEs. Zbl 07652806
Penwarden, Michael; Zhe, Shandian; Narayan, Akil; Kirby, Robert M.
1
2023
Constraint energy minimizing generalized multiscale finite element method for multi-continuum Richards equations. Zbl 07652808
Mai, Tina; Cheung, Siu Wun; Park, Jun Sur Richard
1
2023
Deep learning-enhanced ensemble-based data assimilation for high-dimensional nonlinear dynamical systems. Zbl 07652811
Chattopadhyay, Ashesh; Nabizadeh, Ebrahim; Bach, Eviatar; Hassanzadeh, Pedram
1
2023
A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method. Zbl 07652821
Doherty, William; Phillips, Timothy N.; Xie, Zhihua
1
2023
Fast operator splitting methods for obstacle problems. Zbl 07652823
Liu, Hao; Wang, Dong
1
2023
A new variational discretization technique for initial value problems bypassing governing equations. Zbl 07652824
Rothkopf, Alexander; Nordström, Jan
1
2023
Analytical closure to the spatially-filtered Euler equations for shock-dominated flows. Zbl 07652828
Baumgart, Alexandra; Beardsell, Guillaume; Blanquart, Guillaume
1
2023
Numerical investigation of Mach number consistent Roe solvers for the Euler equations of gas dynamics. Zbl 07652829
Kemm, Friedemann
1
2023
Aerodynamic shape optimization based on discrete adjoint and RBF. Zbl 07652831
Abergo, Luca; Morelli, Myles; Guardone, Alberto
1
2023
A conservative, interface-resolved, compressible framework for the modeling and simulation of liquid/gas phase change. Zbl 07652833
Wenzel, Everett A.; Arienti, Marco
1
2023
Numerical wave propagation aided by deep learning. Zbl 07649258
Nguyen, Hieu; Tsai, Richard
1
2023
Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. Zbl 07649266
Qiao, Zhonghua; Xu, Zhenli; Yin, Qian; Zhou, Shenggao
1
2023
A fast and accurate numerical approach for electromagnetic inversion. Zbl 07649267
Denich, Eleonora; Novati, Paolo; Picotti, Stefano
1
2023
Artificial diffusion for convective and acoustic low Mach number flows. I: Analysis of the modified equations, and application to Roe-type schemes. Zbl 07649279
Hope-Collins, Joshua; di Mare, Luca
1
2023
Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations. Zbl 07649281
Zhao, Zhuang; Zhang, Min
1
2023
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. Zbl 07649283
Yin, Tianai; Zhong, Xinghui; Wang, Yanli
1
2023
Radiative transfer for variable three-dimensional atmospheres. Zbl 07649284
Golse, F.; Hecht, F.; Pironneau, O.; Smets, D.; Tournier, P.-H.
1
2023
A multi-degree-of-freedom gas kinetic multi-prediction implicit scheme. Zbl 07649289
Pan, Dongxin; Zhang, Rui; Zhuo, Congshan; Liu, Sha; Zhong, Chengwen
1
2023
Objective molecular dynamics for atomistic simulation of macroscopic fluid motion. Zbl 07660323
Pahlani, Gunjan; Schwartzentruber, Thomas E.; James, Richard D.
1
2023
Gappy spectral proper orthogonal decomposition. Zbl 07660325
Nekkanti, Akhil; Schmidt, Oliver T.
1
2023
Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values. Zbl 07660327
Wilkening, Jon; Zhao, Xinyu
1
2023
Code-verification techniques for the method-of-moments implementation of the magnetic-field integral equation. Zbl 07660330
Freno, Brian A.; Matula, Neil R.
1
2023
A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers. Zbl 07660335
Zeng, Yadong; Liu, Han; Gao, Qiang; Almgren, Ann; Bhalla, Amneet Pal Singh; Shen, Lian
1
2023
Fully conservative and pressure-equilibrium preserving scheme for compressible multi-component flows. Zbl 07660337
Fujiwara, Yuji; Tamaki, Yoshiharu; Kawai, Soshi
1
2023
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. Zbl 07660341
Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G.
1
2023
Efficient lattice Boltzmann simulation of free-surface granular flows with \(\mu(I)\)-rheology. Zbl 07660349
Yang, G. C.; Yang, S. C.; Jing, L.; Kwok, C. Y.; Sobral, Y. D.
1
2023
An energy-stable smoothed particle hydrodynamics discretization of the Navier-Stokes-Cahn-Hilliard model for incompressible two-phase flows. Zbl 07660354
Feng, Xiaoyu; Qiao, Zhonghua; Sun, Shuyu; Wang, Xiuping
1
2023
The D-RBF-PU method for solving surface PDEs. Zbl 07660356
Mir, Reyhaneh; Mirzaei, Davoud
1
2023
Solving free-surface problems for non-shallow water using boundary and initial conditions-free physics-informed neural network (bif-PINN). Zbl 07660358
Huang, Ying H.; Xu, Zheng; Qian, Cheng; Liu, Li
1
2023
An exponential integration generalized multiscale finite element method for parabolic problems. Zbl 07660366
Contreras, L. F.; Pardo, D.; Abreu, E.; Muñoz-Matute, J.; Diaz, C.; Galvis, J.
1
2023
...and 965 more Documents
all top 5

Cited by 72,385 Authors

282 Shu, Chi-Wang
269 Dehghan Takht Fooladi, Mehdi
212 Karniadakis, George Em
181 Simos, Theodore E.
141 Dumbser, Michael
139 Liu, Fawang
135 Nordström, Jan
127 Shu, Chang
126 Chung, Tsz Shun Eric
119 Kim, Junseok
119 Wang, Hong
114 Shen, Jie
111 Huang, Yunqing
110 Băleanu, Dumitru I.
108 Xu, Kun
108 Yang, Xiaofeng
105 Adams, Nikolaus A.
103 Hesthaven, Jan S.
103 Jin, Shi
103 Qiu, Jianxian
102 Boyd, John Philip
100 Quarteroni, Alfio M.
100 Sagaut, Pierre
99 Hughes, Thomas J. R.
99 Turner, Ian William
98 Feng, Xinlong
97 He, Yinnian
95 Liu, Wing Kam
94 Seaïd, Mohammed
91 Chen, Wen
90 Li, Jichun
89 Tezduyar, Tayfun E.
88 Toro, Eleuterio Francisco
87 Abgrall, Rémi
87 Osher, Stanley Joel
86 Rozza, Gianluigi
85 Bazilevs, Yuri
83 Sheu, Tony Wen-Hann
82 Shashkov, Mikhail J.
81 Bao, Weizhu
81 Codina, Ramon
81 Efendiev, Yalchin R.
79 Khoo, Boo Cheong
79 Kurganov, Alexander
79 Wang, Yushun
78 Sherwin, Spencer J.
77 Lin, Guang
77 Oñate Ibáñez de Navarra, Eugenio
76 Abbaszadeh, Mostafa
76 Schwab, Christoph
76 Sun, Shuyu
76 Wang, Cheng
75 Sun, Haiwei
75 Yuan, Guangwei
75 Zhang, Zhimin
74 Du, Qiang
74 Farhat, Charbel H.
72 Verzicco, Roberto
71 Glowinski, Roland
70 Sun, Zhizhong
69 Antoine, Xavier
69 Guermond, Jean-Luc
69 Majda, Andrew J.
69 Vuik, Cornelis
68 Gunzburger, Max D.
68 Liu, Tiegang
68 Manzini, Gianmarco
68 Rabczuk, Timon
68 Takizawa, Kenji
67 Cockburn, Bernardo
67 Ju, Lili
67 Li, Hong
67 Liu, Gui-Rong
67 Pareschi, Lorenzo
67 Wheeler, Mary Fanett
66 Ying, Lexing
65 Bhrawy, Ali Hassan
65 Rebholz, Leo G.
64 Doha, Eid H.
64 Wall, Wolfgang A.
63 Gassner, Gregor J.
63 Jenny, Patrick
63 Li, Zhilin
63 Munz, Claus-Dieter
63 Xu, Da
62 Chen, Yanping
62 Liu, Hailiang
62 Löhner, Rainald
62 Lohse, Detlef
62 Macías-Díaz, Jorge Eduardo
62 Ruiz-Baier, Ricardo
61 Degond, Pierre
61 Greengard, Leslie F.
61 Kuzmin, Dmitri
61 Mohanty, Ranjan Kumar
61 Tchelepi, Hamdi A.
61 Zhu, Jun
60 Liu, Jianguo
60 Lowengrub, John Samuel
59 Beirão da Veiga, Lourenço
...and 72,285 more Authors
all top 5

Cited in 1,056 Journals

11,694 Journal of Computational Physics
4,512 Computer Methods in Applied Mechanics and Engineering
3,983 Computers and Fluids
3,973 Journal of Fluid Mechanics
2,398 Journal of Computational and Applied Mathematics
2,294 Journal of Scientific Computing
2,277 Computers & Mathematics with Applications
1,860 Applied Mathematics and Computation
1,541 Applied Numerical Mathematics
1,375 Physics of Fluids
1,310 SIAM Journal on Scientific Computing
1,122 Engineering Analysis with Boundary Elements
1,058 Applied Mathematical Modelling
1,045 International Journal for Numerical Methods in Fluids
979 International Journal for Numerical Methods in Engineering
774 Computational Mechanics
633 Numerical Methods for Partial Differential Equations
623 Mathematics of Computation
615 International Journal of Computer Mathematics
615 Communications in Computational Physics
583 Numerische Mathematik
581 Mathematics and Computers in Simulation
558 International Journal of Computational Fluid Dynamics
555 SIAM Journal on Numerical Analysis
553 European Journal of Mechanics. B. Fluids
534 Physica D
503 Numerical Algorithms
496 Computer Physics Communications
451 Communications in Nonlinear Science and Numerical Simulation
442 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
434 Applied Mathematics Letters
413 Computational Geosciences
380 Advances in Computational Mathematics
379 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
368 Computational and Applied Mathematics
336 Journal of Mathematical Analysis and Applications
324 Mathematical Problems in Engineering
310 Wave Motion
304 International Journal of Computational Methods
290 Multiscale Modeling & Simulation
283 BIT
282 Combustion Theory and Modelling
282 Advances in Applied Mathematics and Mechanics
272 International Journal of Heat and Mass Transfer
267 International Journal of Numerical Methods for Heat & Fluid Flow
257 Acta Mechanica
253 Journal of Engineering Mathematics
247 Advances in Difference Equations
236 Communications in Numerical Methods in Engineering
228 Mathematical Methods in the Applied Sciences
228 Chaos, Solitons and Fractals
225 Journal of Mathematical Chemistry
220 Journal of Statistical Physics
216 Journal of Mathematical Physics
213 Physica A
205 Inverse Problems
204 Computational Mathematics and Mathematical Physics
203 Mathematical and Computer Modelling
203 SIAM/ASA Journal on Uncertainty Quantification
186 SIAM Journal on Applied Mathematics
170 Inverse Problems in Science and Engineering
165 Applied Mathematics and Mechanics. (English Edition)
160 Journal of Differential Equations
159 Flow, Turbulence and Combustion
153 Acta Mechanica Sinica
152 Comptes Rendus. Mathématique. Académie des Sciences, Paris
150 Theoretical and Computational Fluid Dynamics
148 Applicable Analysis
144 Fluid Dynamics
137 Matematicheskoe Modelirovanie
136 Communications on Applied Mathematics and Computation
134 East Asian Journal on Applied Mathematics
132 Abstract and Applied Analysis
129 Calcolo
129 International Journal of Modern Physics C
129 International Journal of Applied and Computational Mathematics
128 Fractional Calculus & Applied Analysis
127 SIAM Journal on Mathematical Analysis
126 Discrete and Continuous Dynamical Systems. Series B
123 Numerical Linear Algebra with Applications
123 Journal of High Energy Physics
123 Computational Methods in Applied Mathematics
122 ZAMP. Zeitschrift für angewandte Mathematik und Physik
121 Journal of Nonlinear Science
120 Nonlinear Dynamics
120 Chaos
119 Transport Theory and Statistical Physics
119 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
116 Bulletin of Mathematical Biology
115 Linear Algebra and its Applications
115 Archives of Computational Methods in Engineering
109 Japan Journal of Industrial and Applied Mathematics
109 Computing and Visualization in Science
109 Journal of Theoretical Biology
107 Journal of Applied Mathematics and Computing
105 Geophysical and Astrophysical Fluid Dynamics
105 Physics of Fluids, A
104 Journal of Applied Mathematics
103 International Journal of Engineering Science
103 European Journal of Mechanics. A. Solids
...and 956 more Journals
all top 5

Cited in 61 Fields

41,362 Numerical analysis (65-XX)
35,880 Fluid mechanics (76-XX)
21,962 Partial differential equations (35-XX)
8,542 Mechanics of deformable solids (74-XX)
3,737 Statistical mechanics, structure of matter (82-XX)
3,155 Biology and other natural sciences (92-XX)
3,147 Classical thermodynamics, heat transfer (80-XX)
2,999 Optics, electromagnetic theory (78-XX)
2,421 Ordinary differential equations (34-XX)
2,363 Geophysics (86-XX)
2,148 Computer science (68-XX)
2,082 Probability theory and stochastic processes (60-XX)
1,780 Calculus of variations and optimal control; optimization (49-XX)
1,613 Dynamical systems and ergodic theory (37-XX)
1,468 Statistics (62-XX)
1,388 Real functions (26-XX)
1,295 Quantum theory (81-XX)
1,236 Operations research, mathematical programming (90-XX)
1,117 Integral equations (45-XX)
1,056 Approximations and expansions (41-XX)
820 Systems theory; control (93-XX)
706 Mechanics of particles and systems (70-XX)
680 Linear and multilinear algebra; matrix theory (15-XX)
668 Information and communication theory, circuits (94-XX)
565 Special functions (33-XX)
539 Harmonic analysis on Euclidean spaces (42-XX)
511 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
499 Operator theory (47-XX)
367 Astronomy and astrophysics (85-XX)
290 Relativity and gravitational theory (83-XX)
285 Differential geometry (53-XX)
272 Global analysis, analysis on manifolds (58-XX)
246 Integral transforms, operational calculus (44-XX)
209 Functional analysis (46-XX)
192 Functions of a complex variable (30-XX)
188 Potential theory (31-XX)
161 Combinatorics (05-XX)
157 Difference and functional equations (39-XX)
124 General and overarching topics; collections (00-XX)
104 Number theory (11-XX)
86 Convex and discrete geometry (52-XX)
80 Measure and integration (28-XX)
63 History and biography (01-XX)
35 Topological groups, Lie groups (22-XX)
33 Manifolds and cell complexes (57-XX)
32 Algebraic geometry (14-XX)
23 Mathematics education (97-XX)
21 Sequences, series, summability (40-XX)
21 Algebraic topology (55-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Field theory and polynomials (12-XX)
19 Geometry (51-XX)
18 Group theory and generalizations (20-XX)
16 Mathematical logic and foundations (03-XX)
13 Commutative algebra (13-XX)
13 Nonassociative rings and algebras (17-XX)
13 Abstract harmonic analysis (43-XX)
12 General topology (54-XX)
6 Associative rings and algebras (16-XX)
5 Category theory; homological algebra (18-XX)
2 Order, lattices, ordered algebraic structures (06-XX)

Citations by Year