Journal of Computational Physics Short Title: J. Comput. Phys. Publisher: Elsevier (Academic Press), Amsterdam ISSN: 0021-9991 Online: http://www.sciencedirect.com/science/journal/00219991 Documents Indexed: 13,904 Publications (since 1966) References Indexed: 12,897 Publications with 430,047 References. all top 5 Latest Issues 417 (2020) 416 (2020) 415 (2020) 414 (2020) 413 (2020) 412 (2020) 411 (2020) 410 (2020) 409 (2020) 406 (2020) 405 (2020) 404 (2020) 403 (2020) 402 (2020) 401 (2020) 400 (2020) 399 (2019) 398 (2019) 397 (2019) 396 (2019) 395 (2019) 394 (2019) 393 (2019) 392 (2019) 391 (2019) 390 (2019) 389 (2019) 388 (2019) 387 (2019) 386 (2019) 385 (2019) 384 (2019) 383 (2019) 382 (2019) 381 (2019) 380 (2019) 378 (2019) 377 (2019) 376 (2019) 375 (2018) 374 (2018) 373 (2018) 372 (2018) 371 (2018) 370 (2018) 369 (2018) 368 (2018) 367 (2018) 366 (2018) 365 (2018) 364 (2018) 363 (2018) 362 (2018) 361 (2018) 360 (2018) 359 (2018) 358 (2018) 357 (2018) 356 (2018) 355 (2018) 354 (2018) 353 (2018) 352 (2018) 351 (2017) 350 (2017) 349 (2017) 348 (2017) 347 (2017) 346 (2017) 345 (2017) 344 (2017) 343 (2017) 342 (2017) 341 (2017) 340 (2017) 339 (2017) 338 (2017) 337 (2017) 336 (2017) 335 (2017) 334 (2017) 333 (2017) 332 (2017) 331 (2017) 330 (2017) 329 (2017) 328 (2017) 327 (2016) 326 (2016) 325 (2016) 324 (2016) 323 (2016) 322 (2016) 321 (2016) 320 (2016) 319 (2016) 318 (2016) 317 (2016) 316 (2016) 315 (2016) ...and 584 more Volumes all top 5 Authors 96 Shu, Chi-Wang 83 Karniadakis, George Em 58 Nordström, Jan 57 Xu, Kun 55 Osher, Stanley Joel 48 Adams, Nikolaus A. 47 Shashkov, Mikhail J. 46 Colella, Phillip 39 Balsara, Dinshaw S. 39 Boyd, John Philip 39 Dumbser, Michael 39 Zabaras, Nicholas J. 38 Gibou, Frédéric 38 Jenny, Patrick 35 Greengard, Leslie F. 35 Hesthaven, Jan S. 34 Knoll, Dana A. 33 Moin, Parviz 33 Toro, Eleuterio F. 33 Turkel, Eli L. 32 Sagaut, Pierre 31 Chacón, Luis 30 Fedkiw, Ronald P. 30 Jin, Shi 29 Koumoutsakos, Petros D. 29 Shen, Jie 28 Cai, Wei 28 Degond, Pierre 28 Tchelepi, Hamdi A. 27 Carpenter, Mark H. 27 Lowengrub, John Samuel 27 Qiu, Jianxian 27 Smolarkiewicz, Piotr K. 27 Xiao, Feng 27 Xiu, Dongbin 26 Brackbill, Jeremiah U. 26 Henshaw, William D. 26 Hou, Thomas Yizhao 25 Abgrall, Rémi 25 Chung, Tsz Shun Eric 25 Morel, Jim E. 25 Nishikawa, Hiroaki 25 Peskin, Charles S. 25 Sethian, James A. 25 Shu, Chang 24 Banks, Jeffrey W. 24 Khoo, Boo Cheong 24 Lin, Guang 24 Loubère, Raphaël 23 Majda, Andrew J. 23 Yee, Helen C. 22 Bao, Weizhu 22 E, Weinan 22 Efendiev, Yalchin R. 22 Koren, Barry 22 Pope, Stephen B. 22 Shadid, John N. 22 Sherwin, Spencer J. 22 Wang, Hong 22 Ying, Lexing 21 Christlieb, Andrew J. 21 Fornberg, Bengt 21 Giraldo, Francis X. 21 Huang, Weizhang 21 Luo, Lishi 21 Shyy, Wei 21 Tang, Huazhong 21 Vasilyev, Oleg V. 20 Lai, Mingchih 20 Larsen, Edward W. 20 Luo, Hong 20 Merriman, Barry 20 Schwendeman, Donald W. 20 Tornberg, Anna-Karin 20 Zhao, Hongkai 19 Antoine, Xavier 19 Bell, John B. 19 Cockburn, Bernardo 19 Engquist, Bjorn E. 19 Iaccarino, Gianluca 19 Iollo, Angelo 19 Monaghan, Joseph J. 19 Munz, Claus-Dieter 19 Najm, Habib N. 19 Rokhlin, Vladimir 19 van der Vegt, Jaap J. W. 19 Wei, Guowei 18 Bruno, Oscar P. 18 Colonius, Tim 18 Lapenta, Giovanni 18 Mattsson, Ken 18 Mavriplis, Dimitri J. 18 Nguyen, Ngoc Cuong 18 Qiu, Jingmei 18 Quartapelle, Luigi 18 Saurel, Richard 18 Sjogreen, Bjorn 18 Strain, John A. 18 Tsai, Yen-Hsi Richard 18 van Leer, Bram ...and 16,570 more Authors all top 5 Fields 8,463 Numerical analysis (65-XX) 7,383 Fluid mechanics (76-XX) 3,178 Partial differential equations (35-XX) 1,228 Statistical mechanics, structure of matter (82-XX) 935 Optics, electromagnetic theory (78-XX) 733 Mechanics of deformable solids (74-XX) 547 Geophysics (86-XX) 499 Classical thermodynamics, heat transfer (80-XX) 463 Quantum theory (81-XX) 416 Biology and other natural sciences (92-XX) 327 Ordinary differential equations (34-XX) 268 Probability theory and stochastic processes (60-XX) 253 Integral equations (45-XX) 207 Statistics (62-XX) 192 Computer science (68-XX) 149 Dynamical systems and ergodic theory (37-XX) 147 Calculus of variations and optimal control; optimization (49-XX) 145 Astronomy and astrophysics (85-XX) 113 Special functions (33-XX) 107 Mechanics of particles and systems (70-XX) 93 Approximations and expansions (41-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 56 Operations research, mathematical programming (90-XX) 55 Systems theory; control (93-XX) 48 Relativity and gravitational theory (83-XX) 43 Information and communication theory, circuits (94-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 32 Integral transforms, operational calculus (44-XX) 29 Functions of a complex variable (30-XX) 26 Differential geometry (53-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 20 Difference and functional equations (39-XX) 17 Real functions (26-XX) 16 Convex and discrete geometry (52-XX) 15 History and biography (01-XX) 15 Operator theory (47-XX) 14 Combinatorics (05-XX) 11 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Group theory and generalizations (20-XX) 6 Number theory (11-XX) 6 Measure and integration (28-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Sequences, series, summability (40-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11,466 Publications have been cited 220,583 times in 60,069 Documents Cited by ▼ Year ▼ Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132Osher, Stanley; Sethian, James A. 1,759 1988 Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066Roe, P. L. 1,475 1981 Efficient implementation of weighted ENO schemes. Zbl 0877.65065Jiang, Guang-Shan; Shu, Chi-Wang 1,392 1996 Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072Shu, Chi-Wang; Osher, Stanley 1,346 1988 Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006Lele, Sanjiva K. 1,212 1992 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223van Leer, Bram 1,123 1979 Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020Hirt, C. W.; Nichols, B. D. 1,081 1981 High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Zbl 0511.76031Ghia, U.; Ghia, K. N.; Shin, C. T. 927 1982 A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077Sussman, Mark; Smereka, Peter; Osher, Stanley 868 1994 A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129Berenger, Jean-Pierre 822 1994 Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 820 1987 Numerical analysis of blood flow in the heart. Zbl 0403.76100Peskin, Charles S. 780 1977 A fast algorithm for particle simulations. Zbl 0629.65005Greengard, L.; Rokhlin, V. 760 1987 A continuum method for modeling surface tension. Zbl 0775.76110Brackbill, J. U.; Kothe, D. B.; Zemach, C. 754 1992 Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061Shu, Chi-Wang; Osher, Stanley 754 1989 High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050Harten, Ami 736 1983 Weighted essentially non-oscillatory schemes. Zbl 0811.65076Liu, Xu-Dong; Osher, Stanley; Chan, Tony 735 1994 The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057Woodward, Paul; Colella, Phillip 725 1984 Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038Kim, John; Moin, Parviz 704 1985 The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059Cockburn, Bernardo; Shu, Chi-Wang 653 1998 Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121Lin, Yumin; Xu, Chuanju 603 2007 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 572 1967 A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Zbl 0957.76052Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry; Osher, Stanley 529 1999 A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065Hou, Thomas Y.; Wu, Xiao-Hui 522 1997 A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063Sod, Gary A. 517 1978 A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047Unverdi, Salih Ozen; Tryggvason, Grétar 508 1992 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093Cockburn, Bernardo; Lin, San-Yih; Shu, Chi-Wang 505 1989 Flow patterns around heart valves: A numerical method. Zbl 0244.92002Peskin, Charles S. 501 1972 A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040Bassi, F.; Rebay, S. 491 1997 Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002Zalesak, Steven T. 452 1979 An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018Hirt, C. W.; Amsden, A. A.; Cook, J. L. 446 1974 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 421 2004 Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084Poinsot, T. J.; Lele, S. K. 416 1992 Simulating free surface flows with SPH. Zbl 0794.76073Monaghan, J. J. 415 1994 A front-tracking method for the computations of multiphase flow. Zbl 1047.76574Tryggvason, G.; Bunner, B.; Esmaeeli, A.; Juric, D.; Al-Rawahi, N.; Tauber, W.; Han, J.; Nas, S.; Jan, Y.-J. 413 2001 Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071Berger, Marsha J.; Oliger, Joseph 407 1984 Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073Fadlun, E. A.; Verzicco, R.; Orlandi, P.; Mohd-Yusof, J. 404 2000 A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035Patera, Anthony T. 397 1984 Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070Berger, M. J.; Colella, P. 383 1989 High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A. 372 1991 Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057Tam, Christopher K. W.; Webb, Jay C. 365 1993 The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082Colella, Phillip; Woodward, Paul R. 352 1984 Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078Balsara, Dinshaw S.; Shu, Chi-Wang 350 2000 Exponential time differencing for stiff systems. Zbl 1005.65069Cox, S. M.; Matthews, P. C. 350 2002 Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068Nessyahu, Haim; Tadmor, Eitan 348 1990 A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030Bell, John B.; Colella, Phillip; Glaz, Harland M. 346 1989 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045Knoll, D. A.; Keyes, D. E. 344 2004 Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024Issa, R. I. 338 1986 Level set methods: An overview and some recent results. Zbl 0988.65093Osher, Stanley; Fedkiw, Ronald P. 328 2001 Reconstructing volume tracking. Zbl 0933.76069Rider, William J.; Kothe, Douglas B. 321 1998 Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi 307 1997 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055van Leer, Bram 300 1974 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122Rokhlin, V. 300 1985 Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004Boris, Jay P.; Book, David L. 291 1973 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056van Leer, Bram 290 1977 A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Zbl 0977.76071Sussman, Mark; Puckett, Elbridge Gerry 285 2000 A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053Saurel, Richard; Abgrall, Rémi 285 1999 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085Kurganov, Alexander; Tadmor, Eitan 283 2000 An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398Uhlmann, Markus 281 2005 Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060Jacqmin, David 272 1999 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066Lai, Ming-Chih; Peskin, Charles S. 268 2000 Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090Hu, Changqing; Shu, Chi-Wang 268 1999 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018Benzi, Michele 266 2002 A PDE-based fast local level set method. Zbl 0964.76069Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 264 1999 Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061Bellman, Richard; Kashef, B. G.; Casti, J. 264 1972 An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun 264 2008 Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066Steger, Joseph L.; Warming, R. F. 262 1981 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 258 2006 An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon 257 2001 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059LeVeque, Randall J. 255 1998 The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123Langlands, T. A. M.; Henry, B. I. 254 2005 A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J. 250 2001 Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049Goldstein, D.; Handler, R.; Sirovich, L. 248 1993 Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339Brown, David L.; Cortez, Ricardo; Minion, Michael L. 246 2001 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111Xiu, Dongbin; Karniadakis, George Em 244 2003 A hybrid particle level set method for improved interface capturing. Zbl 1021.76044Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian 241 2002 Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M. 235 2005 Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P. 234 1998 Exact non-reflecting boundary conditions. Zbl 0671.65094Keller, Joseph B.; Givoli, Dan 231 1989 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 229 1991 An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Zbl 0957.76043Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W. 227 1999 Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi 225 1994 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 222 1990 Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107Cui, Mingrong 221 2009 Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039Colagrossi, Andrea; Landrini, Maurizio 220 2003 A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261Alikhanov, Anatoly A. 220 2015 Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. Zbl 0832.65098Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul 216 1994 How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060Abgrall, Rémi 214 1996 A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo 211 2000 Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011Strand, Bo 208 1994 A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 208 2008 A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Zbl 0847.76048Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S. 206 1996 Time dependent boundary conditions for hyperbolic systems. Zbl 0619.76089Thompson, Kevin W. 206 1987 Structural boundary design via level set and immersed interface methods. Zbl 0994.74082Sethian, J. A.; Wiegmann, Andreas 204 2000 Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. Zbl 0147.44202Arakawa, Akio 201 1966 An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020Popinet, Stéphane 201 2009 Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069Turkel, Eli 200 1987 Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120Plimpton, Steve 199 1995 Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016Hesthaven, J. S.; Warburton, T. 199 2002 A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068He, Xiaoyi; Chen, Shiyi; Doolen, Gary D. 198 1998 What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em 19 2020 Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184Lee, Kookjin; Carlberg, Kevin T. 10 2020 A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel. Zbl 1437.65237Gu, Xian-Ming; Wu, Shu-Lin 8 2020 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 7 2020 Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary 6 2020 Deep learning observables in computational fluid dynamics. Zbl 1436.76051Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep 6 2020 Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin 5 2020 A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116Liao, Hong-lin; Tang, Tao; Zhou, Tao 5 2020 An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207Guo, Ruchi; Lin, Tao 5 2020 Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065Jin, Shi; Li, Lei; Liu, Jian-Guo 5 2020 Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437Cai, Jiaxiang; Shen, Jie 5 2020 Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340Modave, A.; Geuzaine, C.; Antoine, X. 5 2020 Solving electrical impedance tomography with deep learning. Zbl 1453.65041Fan, Yuwei; Ying, Lexing 5 2020 Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. Zbl 1436.65093Wang, Qian; Ripamonti, Nicolò; Hesthaven, Jan S. 4 2020 Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141Kuzmin, Dmitri; Quezada de Luna, Manuel 4 2020 Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055Li, Wuchen; Lu, Jianfeng; Wang, Li 4 2020 Local meshless methods for second order elliptic interface problems with sharp corners. Zbl 1437.65208Ahmad, Masood; Siraj-ul-Islam; Larsson, Elisabeth 4 2020 Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs. Zbl 1453.65280Dektor, Alec; Venturi, Daniele 4 2020 4D large scale variational data assimilation of a turbulent flow with a dynamics error model. Zbl 1436.76010Chandramouli, Pranav; Memin, Etienne; Heitz, Dominique 3 2020 A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems. Zbl 1436.76058Tang, Meng; Liu, Yimin; Durlofsky, Louis J. 3 2020 Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet. Zbl 1435.76057Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji 3 2020 Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media. Zbl 1435.76042Brenner, K.; Masson, R.; Quenjel, E. H. 3 2020 Regularized integral equation methods for elastic scattering problems in three dimensions. Zbl 1436.65211Bruno, Oscar P.; Yin, Tao 3 2020 Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. Zbl 1436.65202Wu, Bowei; Zhu, Hai; Barnett, Alex; Veerapaneni, Shravan 3 2020 Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. Zbl 1436.76035Zahr, M. J.; Shi, A.; Persson, P.-O. 3 2020 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 3 2020 On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Zbl 1437.65109Muñoz-Pérez, Luis F.; Macías-Díaz, J. E. 3 2020 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157Yin, Weishi; Yang, Wenhong; Liu, Hongyu 3 2020 A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. Zbl 1453.65357Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara 3 2020 Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model. Zbl 1453.76223Zhang, Jun; Yang, Xiaofeng 3 2020 A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Zbl 1453.65276Yang, Zhiguo; Dong, Suchuan 3 2020 Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas 3 2020 A conservative, consistent, and scalable meshfree mimetic method. Zbl 1435.65221Trask, Nathaniel; Bochev, Pavel; Perego, Mauro 2 2020 Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. Zbl 1435.65156Discacciati, Niccolò; Hesthaven, Jan S.; Ray, Deep 2 2020 Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. Zbl 1435.76038Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E. 2 2020 Stability analysis of hierarchical tensor methods for time-dependent PDEs. Zbl 1435.65149Rodgers, Abram; Venturi, Daniele 2 2020 Fast Calderón preconditioning for Helmholtz boundary integral equations. Zbl 1435.65218Fierro, Ignacia; Jerez-Hanckes, Carlos 2 2020 Exponential sum approximation for Mittag-Leffler function and its application to fractional Zener wave equation. Zbl 1436.65023Lam, P. H.; So, H. C.; Chan, C. F. 2 2020 FFT-based high order central difference schemes for three-dimensional Poisson’s equation with various types of boundary conditions. Zbl 1436.65159Feng, Hongsong; Zhao, Shan 2 2020 A hybrid approach to couple the discrete velocity method and method of moments for rarefied gas flows. Zbl 1436.76054Yang, Weiqi; Gu, Xiao-Jun; Wu, Lei; Emerson, David R.; Zhang, Yonghao; Tang, Shuo 2 2020 A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems. Zbl 1437.65074Guillot, Louis; Lazarus, Arnaud; Thomas, Olivier; Vergez, Christophe; Cochelin, Bruno 2 2020 Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric 2 2020 Sparse polynomial chaos expansions using variational relevance vector machines. Zbl 1437.62114Tsilifis, Panagiotis; Papaioannou, Iason; Straub, Daniel; Nobile, Fabio 2 2020 Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. Zbl 1437.65131Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J. 2 2020 Data driven approximation of parametrized PDEs by reduced basis and neural networks. Zbl 1437.65224Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca 2 2020 On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. Zbl 1437.76041Liu, Chun; Wang, Yiwei 2 2020 Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. Zbl 1437.74026Fu, Shubin; Chung, Eric; Mai, Tina 2 2020 A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033Zhao, Zhuang; Qiu, Jianxian 2 2020 Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. Zbl 1440.65147Peng, Zhichao; Cheng, Yingda; Qiu, Jing-Mei; Li, Fengyan 2 2020 A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions. Zbl 1440.65158Xie, Yaning; Ying, Wenjun 2 2020 The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305Liang, Dong; Zhou, Zhongguo 2 2020 A weighted meshfree collocation method for incompressible flows using radial basis functions. Zbl 1453.65364Wang, Lihua; Qian, Zhihao; Zhou, Yueting; Peng, Yongbo 2 2020 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier 2 2020 Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. Zbl 1453.65035Khoromskij, Boris N. 2 2020 A hierarchical butterfly LU preconditioner for two-dimensional electromagnetic scattering problems involving open surfaces. Zbl 1453.65455Liu, Yang; Yang, Haizhao 2 2020 Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130Geneva, Nicholas; Zabaras, Nicholas 2 2020 A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. Zbl 1453.76063Cheng, Jian; Zhang, Fan; Liu, Tiegang 2 2020 Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579Kusch, Jonas; McClarren, Ryan G.; Frank, Martin 2 2020 High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. Zbl 1453.65351Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang 2 2020 Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062Bai, Zhong-Zhi; Lu, Kang-Ya 2 2020 Recovering elastic inclusions by shape optimization methods with immersed finite elements. Zbl 1453.74073Guo, Ruchi; Lin, Tao; Lin, Yanping 2 2020 Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. Zbl 1453.68165Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 2 2020 A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. Zbl 1453.65370Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai; Karniadakis, George Em 2 2020 A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks. Zbl 1453.65310Buli, Joshua; Xing, Yulong 2 2020 A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya. Zbl 1436.65152Li, Z. F.; Shi, Y. Y.; Wu, G. X. 1 2020 A path conservative finite volume method for a shear shallow water model. Zbl 1436.76036Chandrashekar, Praveen; Nkonga, Boniface; Meena, Asha Kumari; Bhole, Ashish 1 2020 A sharp interface method for an immersed viscoelastic solid. Zbl 1435.76040Puelz, Charles; Griffith, Boyce E. 1 2020 Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function. Zbl 1435.76064Dugast, Florian; Favennec, Yann; Josset, Christophe 1 2020 Deep learning seismic substructure detection using the frozen Gaussian approximation. Zbl 1435.86002Hateley, James C.; Roberts, Jay; Mylonakis, Kyle; Yang, Xu 1 2020 Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre. Zbl 1435.76024Lecrivain, Gregory; Pacheco Grein, Taisa Beatriz; Yamamoto, Ryoichi; Hampel, Uwe; Taniguchi, Takashi 1 2020 Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation. Zbl 1435.76023Morgan, Scott; Davies, Christopher 1 2020 Variational training of neural network approximations of solution maps for physical models. Zbl 1435.68292Li, Yingzhou; Lu, Jianfeng; Mao, Anqi 1 2020 Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach. Zbl 1435.76059Gross, B. J.; Trask, N.; Kuberry, P.; Atzberger, P. J. 1 2020 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 1 2020 Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds. Zbl 1435.76043Denner, Fabian; Evrard, Fabien; van Wachem, Berend G. M. 1 2020 A fast integral equation method for the two-dimensional Navier-Stokes equations. Zbl 1435.76020af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine 1 2020 Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM. Zbl 1435.76036Chung, Eric; Pun, Sai-Mang 1 2020 A new efficient momentum preserving level-set/VOF method for high density and momentum ratio incompressible two-phase flows. Zbl 1436.76043Zuzio, Davide; Orazzo, Annagrazia; Estivalèzes, Jean-Luc; Lagrange, Isabelle 1 2020 A second-order measure of boundary oscillations for overhang control in topology optimization. Zbl 1436.65075Mezzadri, Francesco; Qian, Xiaoping 1 2020 Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Zbl 1436.76064Koch, Timo; Schneider, Martin; Helmig, Rainer; Jenny, Patrick 1 2020 Bound preserving and energy dissipative schemes for porous medium equation. Zbl 1436.65101Gu, Yiqi; Shen, Jie 1 2020 Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. Zbl 1436.37091Chen, Nan; Majda, Andrew J. 1 2020 Exponential integrators for stochastic Maxwell’s equations driven by Itô noise. Zbl 1436.60061Cohen, David; Cui, Jianbo; Hong, Jialin; Sun, Liying 1 2020 A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri 1 2020 Iterative algorithms for the post-processing of high-dimensional data. Zbl 1436.65054Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar 1 2020 Second order threshold dynamics schemes for two phase motion by mean curvature. Zbl 1436.65153Zaitzeff, Alexander; Esedoḡlu, Selim; Garikipati, Krishna 1 2020 Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target. Zbl 1436.65151Sabelfeld, Karl 1 2020 Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise. Zbl 1436.35334Song, Mingzhan; Qian, Xu; Shen, Tianlong; Song, Songhe 1 2020 Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. Zbl 1436.65108O’Reilly, Ossian; Petersson, N. Anders 1 2020 A practical finite difference scheme for the Navier-Stokes equation on curved surfaces in \(\mathbb{R}^3\). Zbl 1436.76048Yang, Junxiang; Li, Yibao; Kim, Junseok 1 2020 Fast evaluation of the Biot-Savart integral using FFT for electrical conductivity imaging. Zbl 1436.65021Yazdanian, Hassan; Saturnino, Guilherme B.; Thielscher, Axel; Knudsen, Kim 1 2020 RANS turbulence model development using CFD-driven machine learning. Zbl 1436.76011Zhao, Yaomin; Akolekar, Harshal D.; Weatheritt, Jack; Michelassi, Vittorio; Sandberg, Richard D. 1 2020 Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration. Zbl 1437.76025You, Hojun; Kim, Chongam 1 2020 Optimal experimental design for prediction based on push-forward probability measures. Zbl 1437.62297Butler, T.; Jakeman, J. D.; Wildey, T. 1 2020 A scalable computational platform for particulate Stokes suspensions. Zbl 1437.76042Yan, Wen; Corona, Eduardo; Malhotra, Dhairya; Veerapaneni, Shravan; Shelley, Michael 1 2020 Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. Zbl 1437.65119Toro, E. F.; Saggiorato, B.; Tokareva, S.; Hidalgo, A. 1 2020 High-order ALE gas-kinetic scheme with WENO reconstruction. Zbl 1437.76031Pan, Liang; Zhao, Fengxiang; Xu, Kun 1 2020 A fast implicit solver for semiconductor models in one space dimension. Zbl 1437.65132Laiu, M. Paul; Chen, Zheng; Hauck, Cory D. 1 2020 Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Zbl 1437.74021Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. 1 2020 Boussinesq-Peregrine water wave models and their numerical approximation. Zbl 1437.76022Katsaounis, Theodoros; Mitsotakis, Dimitrios; Sadaka, Georges 1 2020 ...and 1103 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 56,207 Authors 232 Shu, Chi-Wang 219 Dehghan Takht Fooladi, Mehdi 162 Simos, Theodore E. 156 Karniadakis, George Em 117 Liu, Fawang 108 Dumbser, Michael 103 Nordström, Jan 100 Boyd, John Philip 96 Chung, Tsz Shun Eric 96 Shen, Jie 90 Shu, Chang 89 Hughes, Thomas J. R. 89 Wang, Hong 87 Liu, Wing Kam 86 Sagaut, Pierre 85 Băleanu, Dumitru I. 84 Turner, Ian William 81 Hesthaven, Jan S. 80 Xu, Kun 79 Jin, Shi 79 Tezduyar, Tayfun E. 78 Sheu, Tony Wen-Hann 77 Adams, Nikolaus A. 77 Quarteroni, Alfio M. 76 Bazilevs, Yuri 76 Huang, Yunqing 74 Shashkov, Mikhail J. 73 Osher, Stanley Joel 72 Codina, Ramon 72 He, Yinnian 72 Khoo, Boo Cheong 72 Seaïd, Mohammed 71 Majda, Andrew J. 71 Toro, Eleuterio F. 71 Yang, Xiaofeng 70 Kim, Junseok 70 Oñate Ibáñez de Navarra, Eugenio 70 Qiu, Jianxian 69 Li, Jichun 69 Sherwin, Spencer J. 67 Verzicco, Roberto 66 Bao, Weizhu 65 Glowinski, Roland 64 Du, Qiang 64 Farhat, Charbel H. 64 Rebholz, Leo G. 63 Bhrawy, Ali Hassan 62 Abgrall, Rémi 61 Liu, Gui-Rong 61 Sun, Zhizhong 58 Chen, Wen 58 Schwab, Christoph 58 Takizawa, Kenji 58 Wall, Wolfgang A. 58 Ying, Lexing 57 Wheeler, Mary Fanett 56 Abbaszadeh, Mostafa 56 Cockburn, Bernardo 56 Doha, Eid H. 56 Feng, Xinlong 56 Lowengrub, John Samuel 56 Mohanty, Ranjan Kumar 56 Sun, Shuyu 56 Wang, Cheng 55 Degond, Pierre 55 Efendiev, Yalchin R. 55 Guermond, Jean-Luc 55 Hou, Thomas Yizhao 55 Löhner, Rainald 55 Vuik, Cornelis 55 Zhang, Zhimin 54 Greengard, Leslie F. 54 Zhang, Jun 52 Gunzburger, Max D. 52 Guo, Ben-Yu 52 Jenny, Patrick 52 Oden, John Tinsley 52 Wang, Yushun 51 Idelsohn, Sergio Rodolfo 51 Li, Zhilin 51 Moin, Parviz 51 Pullin, Dale I. 50 Bürger, Raimund 50 Huang, Ting-Zhu 50 Kurganov, Alexander 50 Lin, Guang 49 Antoine, Xavier 49 Givoli, Dan 49 Macías-Díaz, Jorge Eduardo 49 Nicholls, David P. 49 Shi, Baochang 49 Turkel, Eli L. 49 Zhang, Luming 48 Belytschko, Ted Bohdan 48 Dawson, Clint N. 48 Jameson, Antony 48 Khaliq, Abdul Q. M. 48 Manzini, Gianmarco 48 Munz, Claus-Dieter 48 Qian, Jianliang ...and 56,107 more Authors all top 5 Cited in 938 Journals 9,262 Journal of Computational Physics 3,362 Computers and Fluids 3,320 Computer Methods in Applied Mechanics and Engineering 3,264 Journal of Fluid Mechanics 2,023 Journal of Computational and Applied Mathematics 1,807 Journal of Scientific Computing 1,753 Computers & Mathematics with Applications 1,583 Applied Mathematics and Computation 1,375 Physics of Fluids 1,345 Applied Numerical Mathematics 1,045 International Journal for Numerical Methods in Fluids 993 SIAM Journal on Scientific Computing 969 Engineering Analysis with Boundary Elements 882 International Journal for Numerical Methods in Engineering 834 Applied Mathematical Modelling 622 Computational Mechanics 569 Mathematics of Computation 519 Numerische Mathematik 455 European Journal of Mechanics. B. Fluids 440 Computer Physics Communications 419 SIAM Journal on Numerical Analysis 402 Mathematics and Computers in Simulation 394 Numerical Algorithms 390 Physica D 379 International Journal of Computer Mathematics 371 Numerical Methods for Partial Differential Equations 336 Computational Geosciences 326 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 318 International Journal of Computational Fluid Dynamics 313 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 313 Mathematical Problems in Engineering 296 Journal of Mathematical Analysis and Applications 296 Applied Mathematics Letters 292 Advances in Computational Mathematics 272 International Journal of Heat and Mass Transfer 267 International Journal of Numerical Methods for Heat & Fluid Flow 265 Communications in Nonlinear Science and Numerical Simulation 252 Wave Motion 241 International Journal of Computational Methods 236 Communications in Numerical Methods in Engineering 235 BIT 218 Multiscale Modeling & Simulation 216 Computational and Applied Mathematics 210 Journal of Engineering Mathematics 204 Journal of Mathematical Physics 203 Mathematical and Computer Modelling 201 Acta Mechanica 199 Journal of Statistical Physics 192 Journal of Mathematical Chemistry 171 Mathematical Methods in the Applied Sciences 166 Applied Mathematics and Mechanics. (English Edition) 159 Flow, Turbulence and Combustion 155 SIAM/ASA Journal on Uncertainty Quantification 151 Advances in Difference Equations 150 Theoretical and Computational Fluid Dynamics 148 Acta Mechanica Sinica 144 Combustion Theory and Modelling 144 Comptes Rendus. Mathématique. Académie des Sciences, Paris 143 Computational Mathematics and Mathematical Physics 138 Inverse Problems in Science and Engineering 137 Chaos, Solitons and Fractals 134 SIAM Journal on Applied Mathematics 132 Inverse Problems 129 Journal of Differential Equations 129 International Journal of Modern Physics C 128 Abstract and Applied Analysis 123 Numerical Linear Algebra with Applications 122 Fluid Dynamics 119 Transport Theory and Statistical Physics 119 Chaos 115 Archives of Computational Methods in Engineering 109 Applicable Analysis 109 Linear Algebra and its Applications 108 ZAMP. Zeitschrift für angewandte Mathematik und Physik 105 Physics of Fluids, A 105 Nonlinear Dynamics 101 Bulletin of Mathematical Biology 101 Journal of Theoretical Biology 98 Calcolo 98 Journal of Computational Acoustics 97 Journal of Turbulence 96 Journal of Applied Mathematics 94 Matematicheskoe Modelirovanie 93 Journal of Nonlinear Science 92 Discrete and Continuous Dynamical Systems. Series B 91 Fractional Calculus & Applied Analysis 88 Journal of Mathematical Biology 88 SIAM Journal on Mathematical Analysis 86 Archive for Rational Mechanics and Analysis 86 Computing 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 85 International Journal of Engineering Science 85 Japan Journal of Industrial and Applied Mathematics 84 European Journal of Operational Research 84 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 84 Applied and Computational Harmonic Analysis 83 East Asian Journal on Applied Mathematics 81 International Journal of Applied and Computational Mathematics 80 Journal of Non-Newtonian Fluid Mechanics 79 Shock Waves ...and 838 more Journals all top 5 Cited in 61 Fields 30,656 Numerical analysis (65-XX) 28,835 Fluid mechanics (76-XX) 15,917 Partial differential equations (35-XX) 6,338 Mechanics of deformable solids (74-XX) 2,810 Statistical mechanics, structure of matter (82-XX) 2,557 Classical thermodynamics, heat transfer (80-XX) 2,412 Biology and other natural sciences (92-XX) 2,401 Optics, electromagnetic theory (78-XX) 1,978 Ordinary differential equations (34-XX) 1,833 Geophysics (86-XX) 1,459 Probability theory and stochastic processes (60-XX) 1,291 Calculus of variations and optimal control; optimization (49-XX) 1,290 Dynamical systems and ergodic theory (37-XX) 1,048 Computer science (68-XX) 921 Statistics (62-XX) 920 Quantum theory (81-XX) 907 Operations research, mathematical programming (90-XX) 858 Integral equations (45-XX) 758 Approximations and expansions (41-XX) 716 Real functions (26-XX) 578 Systems theory; control (93-XX) 535 Mechanics of particles and systems (70-XX) 489 Information and communication theory, circuits (94-XX) 476 Linear and multilinear algebra; matrix theory (15-XX) 440 Special functions (33-XX) 411 Harmonic analysis on Euclidean spaces (42-XX) 350 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 321 Operator theory (47-XX) 285 Astronomy and astrophysics (85-XX) 210 Global analysis, analysis on manifolds (58-XX) 208 Differential geometry (53-XX) 188 Integral transforms, operational calculus (44-XX) 180 Relativity and gravitational theory (83-XX) 157 Functions of a complex variable (30-XX) 144 Potential theory (31-XX) 144 Functional analysis (46-XX) 116 Difference and functional equations (39-XX) 111 Combinatorics (05-XX) 85 Number theory (11-XX) 82 General and overarching topics; collections (00-XX) 61 Convex and discrete geometry (52-XX) 59 History and biography (01-XX) 49 Measure and integration (28-XX) 28 Topological groups, Lie groups (22-XX) 24 Manifolds and cell complexes (57-XX) 21 Mathematics education (97-XX) 18 Algebraic geometry (14-XX) 17 Field theory and polynomials (12-XX) 16 Sequences, series, summability (40-XX) 16 Algebraic topology (55-XX) 15 Geometry (51-XX) 14 Group theory and generalizations (20-XX) 12 Mathematical logic and foundations (03-XX) 12 Several complex variables and analytic spaces (32-XX) 9 Commutative algebra (13-XX) 8 Nonassociative rings and algebras (17-XX) 8 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 5 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) Citations by Year