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: 16,513 Publications (since 1966) References Indexed: 15,493 Publications with 565,084 References. all top 5 Latest Issues 500 (2024) 499 (2024) 498 (2024) 497 (2024) 496 (2024) 495 (2023) 494 (2023) 493 (2023) 492 (2023) 491 (2023) 490 (2023) 489 (2023) 488 (2023) 487 (2023) 486 (2023) 485 (2023) 484 (2023) 483 (2023) 482 (2023) 481 (2023) 480 (2023) 479 (2023) 478 (2023) 477 (2023) 476 (2023) 475 (2023) 474 (2023) 473 (2023) 472 (2023) 471 (2022) 470 (2022) 469 (2022) 468 (2022) 467 (2022) 466 (2022) 465 (2022) 464 (2022) 463 (2022) 462 (2022) 461 (2022) 460 (2022) 459 (2022) 458 (2022) 457 (2022) 456 (2022) 455 (2022) 454 (2022) 453 (2022) 452 (2022) 451 (2022) 450 (2022) 449 (2022) 448 (2022) 447 (2021) 446 (2021) 445 (2021) 444 (2021) 443 (2021) 442 (2021) 441 (2021) 440 (2021) 439 (2021) 438 (2021) 437 (2021) 436 (2021) 435 (2021) 434 (2021) 433 (2021) 432 (2021) 431 (2021) 430 (2021) 429 (2021) 428 (2021) 427 (2021) 426 (2021) 425 (2021) 424 (2021) 423 (2020) 422 (2020) 421 (2020) 420 (2020) 419 (2020) 418 (2020) 417 (2020) 416 (2020) 415 (2020) 414 (2020) 413 (2020) 412 (2020) 411 (2020) 410 (2020) 409 (2020) 408 (2020) 407 (2020) 406 (2020) 405 (2020) 404 (2020) 403 (2020) 402 (2020) 401 (2020) ...and 670 more Volumes all top 5 Authors 114 Shu, Chi-Wang 105 Karniadakis, George Em 76 Nordström, Jan 69 Xu, Kun 64 Osher, Stanley Joel 61 Adams, Nikolaus A. 53 Shashkov, Mikhail J. 48 Gibou, Frédéric 48 Jenny, Patrick 47 Dumbser, Michael 46 Colella, Phillip 44 Chacón, Luis 42 Lin, Guang 41 Balsara, Dinshaw S. 41 Shu, Chang 41 Zabaras, Nicholas J. 40 Hu, Xiangyu Y. 39 Boyd, John Philip 39 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 Chung, Tsz Shun Eric 32 Fedkiw, Ronald P. 32 Xiu, Dongbin 31 Lowengrub, John Samuel 31 Tang, Huazhong 30 Cai, Wei 29 Koumoutsakos, Petros D. 29 Morel, Jim E. 29 Ying, Lexing 28 Carpenter, Mark H. 28 Degond, Pierre 28 Henshaw, William D. 28 Lai, Mingchih 28 Smolarkiewicz, Piotr K. 27 Loubère, Raphaël 26 Banks, Jeffrey W. 26 Brackbill, Jeremiah U. 26 Dong, Suchuan 26 Hou, Thomas Yizhao 26 Peskin, Charles S. 26 Shyy, Wei 26 Tartakovsky, Daniel M. 25 Antoine, Xavier 25 Bao, Weizhu 25 Christlieb, Andrew J. 25 Gassner, Gregor J. 25 Khoo, Boo Cheong 25 Luo, Hong 25 Mattsson, Ken 25 Sethian, James A. 25 Shadid, John N. 25 Wang, Zhijian 24 Giraldo, Francis X. 24 Gottlieb, David I. 24 Kuzmin, Dmitri 24 Lipnikov, Konstantin N. 24 Luo, Lishi 24 Russo, Giovanni 24 Sherwin, Spencer J. 24 Sun, Shuyu 24 Tornberg, Anna-Karin 24 Yee, Helen C. 23 Farhat, Charbel H. 23 Fornberg, Bengt 23 Huang, Weizhang 23 Iollo, Angelo 23 Koren, Barry 23 Majda, Andrew J. 23 Munz, Claus-Dieter 23 Nguyen, Ngoc Cuong 23 Qiu, Jingmei 22 E, Weinan 22 Hajibeygi, Hadi 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 Colonius, Tim 21 Ferrer, Esteban 21 Iaccarino, Gianluca 21 Liu, Hailiang 21 Vasilyev, Oleg V. 20 Griffith, Boyce E. 20 Lapenta, Giovanni ...and 19,957 more Authors all top 5 Fields 10,410 Numerical analysis (65-XX) 8,864 Fluid mechanics (76-XX) 3,874 Partial differential equations (35-XX) 1,412 Statistical mechanics, structure of matter (82-XX) 1,047 Optics, electromagnetic theory (78-XX) 973 Mechanics of deformable solids (74-XX) 613 Geophysics (86-XX) 551 Classical thermodynamics, heat transfer (80-XX) 502 Quantum theory (81-XX) 489 Biology and other natural sciences (92-XX) 422 Computer science (68-XX) 359 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) 136 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13,945 Publications have been cited 314,489 times in 79,723 Documents Cited by ▼ Year ▼ Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132 Osher, Stanley; Sethian, James A. 2,214 1988 Efficient implementation of weighted ENO schemes. Zbl 0877.65065 Jiang, Guang-Shan; Shu, Chi-Wang 2,042 1996 Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072 Shu, Chi-Wang; Osher, Stanley 1,831 1988 Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066 Roe, P. L. 1,808 1981 Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006 Lele, Sanjiva K. 1,495 1992 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223 van Leer, Bram 1,388 1979 Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020 Hirt, C. W.; Nichols, B. D. 1,386 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. 1,161 1982 Weighted essentially non-oscillatory schemes. Zbl 0811.65076 Liu, Xu-Dong; Osher, Stanley; Chan, Tony 1,118 1994 A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077 Sussman, Mark; Smereka, Peter; Osher, Stanley 1,091 1994 Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067 Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 1,047 1987 The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057 Woodward, Paul; Colella, Phillip 1,047 1984 A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129 Berenger, Jean-Pierre 1,037 1994 Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061 Shu, Chi-Wang; Osher, Stanley 992 1989 A continuum method for modeling surface tension. Zbl 0775.76110 Brackbill, J. U.; Kothe, D. B.; Zemach, C. 966 1992 Numerical analysis of blood flow in the heart. Zbl 0403.76100 Peskin, Charles S. 966 1977 A fast algorithm for particle simulations. Zbl 0629.65005 Greengard, L.; Rokhlin, V. 942 1987 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. 934 2019 Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121 Lin, Yumin; Xu, Chuanju 933 2007 High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050 Harten, Ami 915 1983 The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059 Cockburn, Bernardo; Shu, Chi-Wang 902 1998 Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038 Kim, John; Moin, Parviz 818 1985 A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063 Sod, Gary A. 745 1978 Flow patterns around heart valves: A numerical method. Zbl 0244.92002 Peskin, Charles S. 718 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 703 1999 A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065 Hou, Thomas Y.; Wu, Xiao-Hui 676 1997 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. 674 1997 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802 Chorin, Alexandre Joel 672 1967 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 653 1989 A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047 Unverdi, Salih Ozen; Tryggvason, Grétar 633 1992 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 616 2004 An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018 Hirt, C. W.; Amsden, A. A.; Cook, J. L. 551 1974 Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002 Zalesak, Steven T. 547 1979 Simulating free surface flows with SPH. Zbl 0794.76073 Monaghan, J. J. 547 1994 An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076 Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun 520 2008 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. 514 2001 Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071 Berger, Marsha J.; Oliger, Joseph 510 1984 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. 510 2000 Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084 Poinsot, T. J.; Lele, S. K. 501 1992 Exponential time differencing for stiff systems. Zbl 1005.65069 Cox, S. M.; Matthews, P. C. 501 2002 Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078 Balsara, Dinshaw S.; Shu, Chi-Wang 493 2000 Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070 Berger, M. J.; Colella, P. 489 1989 A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035 Patera, Anthony T. 478 1984 The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181 Shen, Jie; Xu, Jie; Yang, Jiang 474 2018 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045 Knoll, D. A.; Keyes, D. E. 470 2004 Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057 Tam, Christopher K. W.; Webb, Jay C. 449 1993 A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030 Bell, John B.; Colella, Phillip; Glaz, Harland M. 448 1989 Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024 Issa, R. I. 442 1986 Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068 Nessyahu, Haim; Tadmor, Eitan 440 1990 The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082 Colella, Phillip; Woodward, Paul R. 436 1984 High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050 Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A. 427 1991 A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261 Alikhanov, Anatoly A. 411 2015 DGM: a deep learning algorithm for solving partial differential equations. Zbl 1416.65394 Sirignano, Justin; Spiliopoulos, Konstantinos 409 2018 Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066 Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi 404 1997 Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114 Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M. 402 2005 Level set methods: An overview and some recent results. Zbl 0988.65093 Osher, Stanley; Fedkiw, Ronald P. 400 2001 Reconstructing volume tracking. Zbl 0933.76069 Rider, William J.; Kothe, Douglas B. 400 1998 An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398 Uhlmann, Markus 399 2005 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085 Kurganov, Alexander; Tadmor, Eitan 390 2000 Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090 Hu, Changqing; Shu, Chi-Wang 384 1999 A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053 Saurel, Richard; Abgrall, Rémi 384 1999 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055 van Leer, Bram 375 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 371 2000 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056 van Leer, Bram 361 1977 Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060 Jacqmin, David 360 1999 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122 Rokhlin, V. 347 1985 Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120 Plimpton, Steve 334 1995 Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004 Boris, Jay P.; Book, David L. 333 1973 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele 330 2002 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066 Lai, Ming-Chih; Peskin, Charles S. 327 2000 The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123 Langlands, T. A. M.; Henry, B. I. 324 2005 On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128 Zhang, Xiangxiong; Shu, Chi-Wang 324 2010 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059 LeVeque, Randall J. 323 1998 An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039 Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon 322 2001 A PDE-based fast local level set method. Zbl 0964.76069 Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 317 1999 Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617 Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. 317 2013 On Godunov-type methods near low densities. Zbl 0709.76102 Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 316 1991 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089 Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 315 2006 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111 Xiu, Dongbin; Karniadakis, George Em 315 2003 Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061 Bellman, Richard; Kashef, B. G.; Casti, J. 313 1972 Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049 Goldstein, D.; Handler, R.; Sirovich, L. 311 1993 An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020 Popinet, Stéphane 310 2009 Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039 Colagrossi, Andrea; Landrini, Maurizio 309 2003 Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066 Steger, Joseph L.; Warming, R. F. 304 1981 How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060 Abgrall, Rémi 303 1996 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. 301 2001 Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339 Brown, David L.; Cortez, Ricardo; Minion, Michael L. 300 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 299 2008 On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096 Zhang, Xiangxiong; Shu, Chi-Wang 291 2010 A hybrid particle level set method for improved interface capturing. Zbl 1021.76044 Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian 287 2002 Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054 Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P. 284 1998 High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. Zbl 1211.65108 Castro, Marcos; Costa, Bruno; Don, Wai Sun 282 2011 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 280 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. 274 1999 Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011 Strand, Bo 271 1994 A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105 Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo 267 2000 Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107 Cui, Mingrong 267 2009 Structural boundary design via level set and immersed interface methods. Zbl 0994.74082 Sethian, J. A.; Wiegmann, Andreas 266 2000 A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088 Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei 262 2014 Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064 Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi 261 1994 A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics. Zbl 07808005 Rueda-Ramírez, Andrés M.; Gassner, Gregor J. 1 2024 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 10 2023 DAS-PINNs: a deep adaptive sampling method for solving high-dimensional partial differential equations. Zbl 07652779 Tang, Kejun; Wan, Xiaoliang; Yang, Chao 7 2023 Stencil selection algorithms for WENO schemes on unstructured meshes. Zbl 07649256 Tsoutsanis, Panagiotis 7 2023 Well-balanced path-conservative central-upwind schemes based on flux globalization. Zbl 07640539 Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao 5 2023 Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. Zbl 07652817 Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin 5 2023 Long-time integration of parametric evolution equations with physics-informed DeepONets. Zbl 07649276 Wang, Sifan; Perdikaris, Paris 5 2023 Moments-based interface reconstruction, remap and advection. Zbl 07660355 Shashkov, Mikhail; Kikinzon, Eugene 5 2023 Controlling conservation laws. I: entropy-entropy flux. Zbl 07662518 Li, Wuchen; Liu, Siting; Osher, Stanley 5 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 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. 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 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 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 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 A modified and efficient phase field model for the biological transport network. Zbl 07696965 Xia, Qing; Jiang, Xiaoyu; Li, Yibao 4 2023 A robust and conservative dynamical low-rank algorithm. Zbl 07679183 Einkemmer, Lukas; Ostermann, Alexander; Scalone, Carmela 3 2023 A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws. Zbl 07620360 Zhang, Min; Zhao, Zhuang 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 Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference. Zbl 07625381 Issan, Opal; Kramer, Boris 3 2023 Local characteristic decomposition based central-upwind scheme. Zbl 07625389 Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 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 Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. Zbl 07625408 Alireza Mirhoseini, Marzieh; Zahr, Matthew J. 3 2023 The hybrid-dimensional Darcy’s law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. Zbl 07625418 Xu, Ziyao; Huang, Zhaoqin; Yang, Yang 3 2023 Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. Zbl 07640533 Efendiev, Yalchin; Leung, Wing Tat 3 2023 Two-phase free-surface flow interaction with moving bodies using a consistent, momentum preserving method. Zbl 07640553 van der Eijk, Martin; Wellens, Peter 3 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 Investigations on a high order SPH scheme using WENO reconstruction. Zbl 07652799 Vergnaud, A.; Oger, G.; Le Touzé, D. 3 2023 Parametric dynamic mode decomposition for reduced order modeling. Zbl 07649273 Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo 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 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 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 Computational mean-field games on manifolds. Zbl 07679184 Yu, Jiajia; Lai, Rongjie; Li, Wuchen; Osher, Stanley 2 2023 A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization. Zbl 07679186 Wen, Tianshu; Zahr, Matthew J. 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 Symplectic learning for Hamiltonian neural networks. Zbl 07766215 David, Marco; Méhats, Florian 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 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 family of well-balanced WENO and TENO schemes for atmospheric flows. Zbl 07705914 Navas-Montilla, Adrián; Echeverribar, Isabel 2 2023 Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. Zbl 07705917 Garcke, Harald; Nürnberg, Robert; Zhao, Quan 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 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 On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 07620359 Hu, Guanghui; Xie, Hehu; Xu, Fei 2 2023 A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction. Zbl 07620361 Sadr, Mohsen; Hadjiconstantinou, Nicolas G. 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 fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings. Zbl 07620370 Anderson, Thomas G.; Zhu, Hai; Veerapaneni, Shravan 2 2023 A semi-implicit meshless method for incompressible flows in complex geometries. Zbl 07620379 Shahane, Shantanu; Vanka, Surya Pratap 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 Optimal control of PDEs using physics-informed neural networks. Zbl 07625400 Mowlavi, Saviz; Nabi, Saleh 2 2023 Bayesian updating and marginal likelihood estimation by cross entropy based importance sampling. Zbl 07625415 Engel, Michael; Kanjilal, Oindrila; Papaioannou, Iason; Straub, Daniel 2 2023 Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation. Zbl 07625430 Arzani, Amirhossein; Cassel, Kevin W.; D’Souza, Roshan M. 2 2023 An efficient geometric method for incompressible hydrodynamics on the sphere. Zbl 07625431 Cifani, P.; Viviani, M.; Modin, K. 2 2023 Tensor-product-Thomas elliptic solver for liquid-metal magnetohydrodynamics. Zbl 07640543 Krasnov, Dmitry; Akhtari, Ali; Zikanov, Oleg; Schumacher, Jörg 2 2023 An efficient iterative method for dynamical Ginzburg-Landau equations. Zbl 07640551 Hong, Qingguo; Ma, Limin; Xu, Jinchao; Chen, Longqing 2 2023 Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models. Zbl 07640559 Shih, Yu-hsuan; Mehlmann, Carolin; Losch, Martin; Stadler, Georg 2 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 2 2023 An efficient hybrid multi-resolution WCNS scheme for solving compressible flows. Zbl 07652797 Wang, Zhenming; Zhu, Jun; Wang, Chunwu; Zhao, Ning 2 2023 Direct modeling for computational fluid dynamics and the construction of high-order compact scheme for compressible flow simulations. Zbl 07652814 Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun 2 2023 A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems. Zbl 07652816 Ren, Yiming; Zhao, Shan 2 2023 Fast operator splitting methods for obstacle problems. Zbl 07652823 Liu, Hao; Wang, Dong 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 Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. Zbl 07649266 Qiao, Zhonghua; Xu, Zhenli; Yin, Qian; Zhou, Shenggao 2 2023 Temporal accuracy of FastRK3. Zbl 07649274 Aithal, Abhiram B.; Tipirneni, Mira; Ferrante, Antonino 2 2023 Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. Zbl 07649283 Yin, Tianai; Zhong, Xinghui; Wang, Yanli 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 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 2 2023 Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. Zbl 07660341 Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G. 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 Asymmetric transport computations in Dirac models of topological insulators. Zbl 07690224 Bal, Guillaume; Hoskins, Jeremy G.; Wang, Zhongjian 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 A combined immersed finite element and conservative semi-Lagrangian scheme for plasma-material interactions. Zbl 1528.76043 Liu, Hongtao; Chen, Mengyu; Cai, Xiaofeng; Cao, Yong; Lapenta, Giovanni 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 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 Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. Zbl 07788135 Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 2 2023 PDE-constrained models with neural network terms: optimization and global convergence. Zbl 07679157 Sirignano, Justin; MacArt, Jonathan; Spiliopoulos, Konstantinos 1 2023 A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order. Zbl 07679164 Deng, Xi 1 2023 Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Zbl 07679169 Schneider, Martin; Gläser, Dennis; Weishaupt, Kilian; Coltman, Edward; Flemisch, Bernd; Helmig, Rainer 1 2023 A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems. Zbl 07679171 Takahashi, Toru 1 2023 Inclusion of an acoustic damper term in weakly-compressible SPH models. Zbl 07679176 Sun, P. N.; Pilloton, C.; Antuono, M.; Colagrossi, A. 1 2023 WeakIdent: weak formulation for identifying differential equation using narrow-fit and trimming. Zbl 07679178 Tang, Mengyi; Liao, Wenjing; Kuske, Rachel; Kang, Sung Ha 1 2023 A pore-level multiscale method for the elastic deformation of fractured porous media. Zbl 07679180 Li, Kangan; Mehmani, Yashar 1 2023 Greedy training algorithms for neural networks and applications to PDEs. Zbl 07679188 Siegel, Jonathan W.; Hong, Qingguo; Jin, Xianlin; Hao, Wenrui; Xu, Jinchao 1 2023 Reduced order modeling for parametrized generalized Newtonian fluid flows. Zbl 07679189 Reyes, R.; Ruz, O.; Bayona-Roa, C.; Castillo, E.; Tello, A. 1 2023 A unified scalable framework for causal sweeping strategies for physics-informed neural networks (PINNs) and their temporal decompositions. Zbl 07748050 Penwarden, Michael; Jagtap, Ameya D.; Zhe, Shandian; Karniadakis, George Em; Kirby, Robert M. 1 2023 Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime. Zbl 07748063 Bernades, Marc; Jofre, Lluís; Capuano, Francesco 1 2023 A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Zbl 07748072 Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. 1 2023 3D model for inertial cavitation bubble dynamics in binary immiscible fluids. Zbl 07766222 Li, Shuai; Zhang, A-Man; Han, Rui 1 2023 ...and 1034 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 73,090 Authors 286 Shu, Chi-Wang 272 Dehghan Takht Fooladi, Mehdi 217 Karniadakis, George Em 182 Simos, Theodore E. 143 Dumbser, Michael 142 Chung, Tsz Shun Eric 140 Liu, Fawang 135 Nordström, Jan 128 Kim, Junseok 127 Shu, Chang 122 Wang, Hong 118 Yang, Xiaofeng 117 Huang, Yunqing 115 Shen, Jie 112 Băleanu, Dumitru I. 112 Xu, Kun 109 Adams, Nikolaus A. 107 Hesthaven, Jan S. 106 Feng, Xinlong 105 Qiu, Jianxian 103 Boyd, John Philip 103 Jin, Shi 102 He, Yinnian 100 Sagaut, Pierre 99 Hughes, Thomas J. R. 99 Turner, Ian William 97 Liu, Wing Kam 97 Quarteroni, Alfio M. 94 Seaïd, Mohammed 93 Zhang, Zhimin 92 Chen, Wen 91 Li, Jichun 91 Rozza, Gianluigi 90 Tezduyar, Tayfun E. 89 Abgrall, Rémi 88 Osher, Stanley Joel 88 Toro, Eleuterio Francisco 87 Wang, Yushun 85 Bazilevs, Yuri 83 Sheu, Tony Wen-Hann 83 Verzicco, Roberto 82 Bao, Weizhu 82 Shashkov, Mikhail J. 81 Codina, Ramon 81 Efendiev, Yalchin R. 81 Kurganov, Alexander 80 Sun, Shuyu 80 Wang, Cheng 79 Khoo, Boo Cheong 79 Rebholz, Leo G. 79 Sherwin, Spencer J. 79 Yuan, Guangwei 78 Farhat, Charbel H. 78 Lin, Guang 78 Oñate Ibáñez de Navarra, Eugenio 77 Du, Qiang 77 Schwab, Christoph 77 Sun, Haiwei 76 Abbaszadeh, Mostafa 74 Wall, Wolfgang A. 73 Majda, Andrew J. 71 Antoine, Xavier 71 Glowinski, Roland 71 Ju, Lili 71 Manzini, Gianmarco 71 Rabczuk, Timon 71 Sun, Zhizhong 71 Vuik, Cornelis 69 Guermond, Jean-Luc 69 Li, Hong 69 Liu, Tiegang 69 Pareschi, Lorenzo 69 Takizawa, Kenji 69 Wheeler, Mary Fanett 68 Gunzburger, Max D. 67 Cockburn, Bernardo 67 Liu, Gui-Rong 67 Löhner, Rainald 67 Ying, Lexing 66 Li, Zhilin 66 Munz, Claus-Dieter 66 Xu, Da 65 Bhrawy, Ali Hassan 65 Hu, Xiangyu Y. 65 Jenny, Patrick 65 Ruiz-Baier, Ricardo 64 Chen, Yanping 64 Doha, Eid H. 64 Lohse, Detlef 64 Tchelepi, Hamdi A. 63 Gassner, Gregor J. 63 Liu, Hailiang 63 Mohanty, Ranjan Kumar 62 Li, Ruo 62 Lowengrub, John Samuel 61 Beirão da Veiga, Lourenço 61 Degond, Pierre 61 Greengard, Leslie F. 61 Kuzmin, Dmitri 61 Zhu, Jun ...and 72,990 more Authors all top 5 Cited in 1,075 Journals 11,727 Journal of Computational Physics 4,612 Computer Methods in Applied Mechanics and Engineering 4,025 Journal of Fluid Mechanics 3,994 Computers and Fluids 2,399 Journal of Computational and Applied Mathematics 2,366 Computers & Mathematics with Applications 2,348 Journal of Scientific Computing 1,861 Applied Mathematics and Computation 1,541 Applied Numerical Mathematics 1,375 Physics of Fluids 1,355 SIAM Journal on Scientific Computing 1,136 Engineering Analysis with Boundary Elements 1,086 International Journal for Numerical Methods in Engineering 1,058 Applied Mathematical Modelling 1,045 International Journal for Numerical Methods in Fluids 1,014 Computer Physics Communications 795 Computational Mechanics 639 Communications in Computational Physics 634 Numerical Methods for Partial Differential Equations 625 Mathematics of Computation 617 International Journal of Computer Mathematics 589 Numerische Mathematik 587 SIAM Journal on Numerical Analysis 581 Mathematics and Computers in Simulation 561 International Journal of Computational Fluid Dynamics 555 European Journal of Mechanics. B. Fluids 543 Physica D 541 Numerical Algorithms 470 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 469 Communications in Nonlinear Science and Numerical Simulation 435 Applied Mathematics Letters 417 Computational Geosciences 388 Advances in Computational Mathematics 384 Computational and Applied Mathematics 380 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 336 Journal of Mathematical Analysis and Applications 325 Advances in Applied Mathematics and Mechanics 324 Mathematical Problems in Engineering 313 Mathematical Methods in the Applied Sciences 310 Wave Motion 307 Multiscale Modeling & Simulation 304 International Journal of Computational Methods 300 BIT 282 Combustion Theory and Modelling 272 International Journal of Heat and Mass Transfer 267 International Journal of Numerical Methods for Heat & Fluid Flow 260 Acta Mechanica 256 Journal of Engineering Mathematics 247 Advances in Difference Equations 236 Communications in Numerical Methods in Engineering 235 Chaos, Solitons and Fractals 229 Journal of Mathematical Chemistry 221 Journal of Mathematical Physics 221 Computational Mathematics and Mathematical Physics 220 Journal of Statistical Physics 217 Physica A 216 SIAM/ASA Journal on Uncertainty Quantification 211 Inverse Problems 203 Mathematical and Computer Modelling 194 SIAM Journal on Applied Mathematics 170 Inverse Problems in Science and Engineering 165 Applied Mathematics and Mechanics. (English Edition) 161 Journal of Differential Equations 159 Flow, Turbulence and Combustion 155 Comptes Rendus. Mathématique. Académie des Sciences, Paris 153 Applicable Analysis 153 Acta Mechanica Sinica 150 Fluid Dynamics 150 Theoretical and Computational Fluid Dynamics 144 Matematicheskoe Modelirovanie 142 Calcolo 142 Discrete and Continuous Dynamical Systems. Series B 139 East Asian Journal on Applied Mathematics 136 Communications on Applied Mathematics and Computation 134 Journal of High Energy Physics 133 Fractional Calculus & Applied Analysis 132 Abstract and Applied Analysis 131 SIAM Journal on Mathematical Analysis 130 International Journal of Applied and Computational Mathematics 129 International Journal of Modern Physics C 127 ZAMP. Zeitschrift für angewandte Mathematik und Physik 124 Journal of Nonlinear Science 123 Numerical Linear Algebra with Applications 123 Computational Methods in Applied Mathematics 122 Nonlinear Dynamics 120 Chaos 119 Transport Theory and Statistical Physics 119 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 118 Bulletin of Mathematical Biology 115 Linear Algebra and its Applications 115 Archives of Computational Methods in Engineering 113 Japan Journal of Industrial and Applied Mathematics 112 Journal of Applied Mathematics and Computing 110 Journal of Physics A: Mathematical and Theoretical 110 Journal of Theoretical Biology 109 Meccanica 109 Computing and Visualization in Science 108 European Journal of Mechanics. A. Solids 106 Geophysical and Astrophysical Fluid Dynamics 105 Journal of Mathematical Biology ...and 975 more Journals all top 5 Cited in 61 Fields 42,536 Numerical analysis (65-XX) 36,659 Fluid mechanics (76-XX) 22,597 Partial differential equations (35-XX) 8,848 Mechanics of deformable solids (74-XX) 3,977 Statistical mechanics, structure of matter (82-XX) 3,245 Biology and other natural sciences (92-XX) 3,219 Classical thermodynamics, heat transfer (80-XX) 3,124 Optics, electromagnetic theory (78-XX) 2,491 Ordinary differential equations (34-XX) 2,413 Geophysics (86-XX) 2,330 Computer science (68-XX) 2,155 Probability theory and stochastic processes (60-XX) 1,843 Calculus of variations and optimal control; optimization (49-XX) 1,684 Dynamical systems and ergodic theory (37-XX) 1,554 Statistics (62-XX) 1,453 Real functions (26-XX) 1,440 Quantum theory (81-XX) 1,281 Operations research, mathematical programming (90-XX) 1,153 Integral equations (45-XX) 1,106 Approximations and expansions (41-XX) 863 Systems theory; control (93-XX) 738 Mechanics of particles and systems (70-XX) 705 Linear and multilinear algebra; matrix theory (15-XX) 685 Information and communication theory, circuits (94-XX) 586 Special functions (33-XX) 554 Harmonic analysis on Euclidean spaces (42-XX) 537 Operator theory (47-XX) 522 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 390 Astronomy and astrophysics (85-XX) 320 Relativity and gravitational theory (83-XX) 301 Differential geometry (53-XX) 287 Global analysis, analysis on manifolds (58-XX) 257 Integral transforms, operational calculus (44-XX) 215 Functional analysis (46-XX) 199 Functions of a complex variable (30-XX) 197 Potential theory (31-XX) 168 Difference and functional equations (39-XX) 165 Combinatorics (05-XX) 119 General and overarching topics; collections (00-XX) 108 Number theory (11-XX) 89 Convex and discrete geometry (52-XX) 84 Measure and integration (28-XX) 64 History and biography (01-XX) 36 Topological groups, Lie groups (22-XX) 36 Manifolds and cell complexes (57-XX) 35 Algebraic geometry (14-XX) 24 Mathematics education (97-XX) 22 Several complex variables and analytic spaces (32-XX) 21 Sequences, series, summability (40-XX) 21 Algebraic topology (55-XX) 19 Field theory and polynomials (12-XX) 19 Group theory and generalizations (20-XX) 19 Geometry (51-XX) 16 Mathematical logic and foundations (03-XX) 14 Commutative algebra (13-XX) 13 Nonassociative rings and algebras (17-XX) 13 Abstract harmonic analysis (43-XX) 13 General topology (54-XX) 6 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 3 Order, lattices, ordered algebraic structures (06-XX) Citations by Year