Journal of Computational Physics Short Title: J. Comput. Phys. Publisher: Elsevier (Academic Press), Amsterdam ISSN: 0021-9991 Online: http://www.sciencedirect.com/science/journal/00219991 Documents Indexed: 15,246 Publications (since 1966) References Indexed: 14,235 Publications with 499,019 References. all top 5 Latest Issues 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) 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) ...and 630 more Volumes all top 5 Authors 103 Shu, Chi-Wang 97 Karniadakis, George Em 67 Nordström, Jan 65 Xu, Kun 56 Osher, Stanley Joel 54 Adams, Nikolaus A. 50 Shashkov, Mikhail J. 46 Colella, Phillip 44 Dumbser, Michael 42 Chacón, Luis 42 Gibou, Frédéric 42 Jenny, Patrick 41 Balsara, Dinshaw S. 41 Zabaras, Nicholas J. 39 Boyd, John Philip 38 Sagaut, Pierre 37 Hesthaven, Jan S. 35 Greengard, Leslie F. 35 Moin, Parviz 35 Toro, Eleuterio F. 35 Turkel, Eli L. 34 Knoll, Dana A. 34 Lin, Guang 34 Shen, Jie 32 Qiu, Jianxian 32 Xiao, Feng 31 Fedkiw, Ronald P. 31 Tchelepi, Hamdi A. 30 Jin, Shi 30 Xiu, Dongbin 29 Abgrall, Rémi 29 Cai, Wei 29 Chung, Tsz Shun Eric 29 Efendiev, Yalchin R. 29 Koumoutsakos, Petros D. 29 Lowengrub, John Samuel 29 Nishikawa, Hiroaki 28 Degond, Pierre 28 Shu, Chang 27 Carpenter, Mark H. 27 Henshaw, William D. 27 Morel, Jim E. 27 Smolarkiewicz, Piotr K. 27 Tang, Huazhong 26 Brackbill, Jeremiah U. 26 Hou, Thomas Yizhao 26 Ying, Lexing 25 Banks, Jeffrey W. 25 Bao, Weizhu 25 Loubère, Raphaël 25 Peskin, Charles S. 25 Sethian, James A. 24 Antoine, Xavier 24 Gottlieb, David I. 24 Khoo, Boo Cheong 24 Luo, Lishi 24 Shadid, John N. 24 Yee, Helen C. 23 Christlieb, Andrew J. 23 Lai, Mingchih 23 Luo, Hong 23 Majda, Andrew J. 23 Shyy, Wei 23 Tartakovsky, Daniel M. 22 E, Weinan 22 Fornberg, Bengt 22 Gassner, Gregor J. 22 Koren, Barry 22 Kuzmin, Dmitri 22 Mattsson, Ken 22 Pope, Stephen Bailey 22 Sherwin, Spencer J. 22 Wang, Hong 21 Cockburn, Bernardo 21 Giraldo, Francis X. 21 Huang, Weizhang 21 Iaccarino, Gianluca 21 Munz, Claus-Dieter 21 Qiu, Jingmei 21 Vasilyev, Oleg V. 20 Bell, John B. 20 Bruno, Oscar P. 20 Colonius, Tim 20 Farhat, Charbel H. 20 Iollo, Angelo 20 Larsen, Edward W. 20 Liu, Hailiang 20 Merriman, Barry 20 Tornberg, Anna-Karin 20 Zhao, Hongkai 19 Engquist, Bjorn E. 19 Hajibeygi, Hadi 19 Liu, Chun 19 Monaghan, Joseph J. 19 Najm, Habib N. 19 Nguyen, Ngoc Cuong 19 Rokhlin, Vladimir 19 Saurel, Richard 19 Sjogreen, Bjorn 19 Tsai, Yen-Hsi Richard ...and 18,153 more Authors all top 5 Fields 9,395 Numerical analysis (65-XX) 8,151 Fluid mechanics (76-XX) 3,510 Partial differential equations (35-XX) 1,341 Statistical mechanics, structure of matter (82-XX) 1,001 Optics, electromagnetic theory (78-XX) 884 Mechanics of deformable solids (74-XX) 584 Geophysics (86-XX) 537 Classical thermodynamics, heat transfer (80-XX) 486 Quantum theory (81-XX) 454 Biology and other natural sciences (92-XX) 336 Ordinary differential equations (34-XX) 299 Computer science (68-XX) 298 Probability theory and stochastic processes (60-XX) 254 Integral equations (45-XX) 245 Statistics (62-XX) 171 Dynamical systems and ergodic theory (37-XX) 158 Calculus of variations and optimal control; 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homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12,025 Publications have been cited 250,522 times in 66,315 Documents Cited by ▼ Year ▼ Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132Osher, Stanley; Sethian, James A. 1,912 1988 Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066Roe, P. L. 1,623 1981 Efficient implementation of weighted ENO schemes. Zbl 0877.65065Jiang, Guang-Shan; Shu, Chi-Wang 1,601 1996 Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072Shu, Chi-Wang; Osher, Stanley 1,489 1988 Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006Lele, Sanjiva K. 1,323 1992 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223van Leer, Bram 1,216 1979 Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020Hirt, C. W.; Nichols, B. D. 1,173 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. 1,015 1982 A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077Sussman, Mark; Smereka, Peter; Osher, Stanley 947 1994 Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 894 1987 A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129Berenger, Jean-Pierre 894 1994 Weighted essentially non-oscillatory schemes. Zbl 0811.65076Liu, Xu-Dong; Osher, Stanley; Chan, Tony 865 1994 Numerical analysis of blood flow in the heart. Zbl 0403.76100Peskin, Charles S. 854 1977 The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057Woodward, Paul; Colella, Phillip 842 1984 A continuum method for modeling surface tension. Zbl 0775.76110Brackbill, J. U.; Kothe, D. B.; Zemach, C. 837 1992 Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061Shu, Chi-Wang; Osher, Stanley 833 1989 A fast algorithm for particle simulations. Zbl 0629.65005Greengard, L.; Rokhlin, V. 815 1987 High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050Harten, Ami 796 1983 The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059Cockburn, Bernardo; Shu, Chi-Wang 749 1998 Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038Kim, John; Moin, Parviz 749 1985 Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121Lin, Yumin; Xu, Chuanju 709 2007 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 604 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 595 1999 A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063Sod, Gary A. 594 1978 Flow patterns around heart valves: A numerical method. Zbl 0244.92002Peskin, Charles S. 585 1972 A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065Hou, Thomas Y.; Wu, Xiao-Hui 571 1997 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093Cockburn, Bernardo; Lin, San-Yih; Shu, Chi-Wang 564 1989 A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040Bassi, F.; Rebay, S. 558 1997 A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047Unverdi, Salih Ozen; Tryggvason, Grétar 552 1992 Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002Zalesak, Steven T. 483 1979 An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018Hirt, C. W.; Amsden, A. A.; Cook, J. L. 482 1974 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 468 2004 Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073Fadlun, E. A.; Verzicco, R.; Orlandi, P.; Mohd-Yusof, J. 455 2000 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. 453 2001 Simulating free surface flows with SPH. Zbl 0794.76073Monaghan, J. J. 453 1994 Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084Poinsot, T. J.; Lele, S. K. 450 1992 Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071Berger, Marsha J.; Oliger, Joseph 440 1984 A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035Patera, Anthony T. 431 1984 Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070Berger, M. J.; Colella, P. 418 1989 Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078Balsara, Dinshaw S.; Shu, Chi-Wang 401 2000 Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057Tam, Christopher K. W.; Webb, Jay C. 398 1993 Exponential time differencing for stiff systems. Zbl 1005.65069Cox, S. M.; Matthews, P. C. 396 2002 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045Knoll, D. A.; Keyes, D. E. 396 2004 High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A. 391 1991 Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024Issa, R. I. 379 1986 A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030Bell, John B.; Colella, Phillip; Glaz, Harland M. 375 1989 The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082Colella, Phillip; Woodward, Paul R. 371 1984 Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068Nessyahu, Haim; Tadmor, Eitan 370 1990 An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun 361 2008 Level set methods: An overview and some recent results. Zbl 0988.65093Osher, Stanley; Fedkiw, Ronald P. 360 2001 Reconstructing volume tracking. Zbl 0933.76069Rider, William J.; Kothe, Douglas B. 352 1998 Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi 341 1997 An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398Uhlmann, Markus 333 2005 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055van Leer, Bram 333 1974 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085Kurganov, Alexander; Tadmor, Eitan 321 2000 A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Zbl 0977.76071Sussman, Mark; Puckett, Elbridge Gerry 319 2000 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122Rokhlin, V. 318 1985 A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053Saurel, Richard; Abgrall, Rémi 314 1999 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056van Leer, Bram 312 1977 Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060Jacqmin, David 311 1999 Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090Hu, Changqing; Shu, Chi-Wang 310 1999 Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004Boris, Jay P.; Book, David L. 299 1973 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066Lai, Ming-Chih; Peskin, Charles S. 295 2000 Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M. 291 2005 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018Benzi, Michele 290 2002 Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Zbl 1415.68175Raissi, M.; Perdikaris, P.; Karniadakis, G. E. 287 2019 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059LeVeque, Randall J. 283 1998 A PDE-based fast local level set method. Zbl 0964.76069Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 283 1999 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 282 2006 An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon 282 2001 Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066Steger, Joseph L.; Warming, R. F. 282 1981 The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123Langlands, T. A. M.; Henry, B. I. 279 2005 Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061Bellman, Richard; Kashef, B. G.; Casti, J. 277 1972 A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261Alikhanov, Anatoly A. 276 2015 Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049Goldstein, D.; Handler, R.; Sirovich, L. 273 1993 A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J. 272 2001 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111Xiu, Dongbin; Karniadakis, George Em 266 2003 Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339Brown, David L.; Cortez, Ricardo; Minion, Michael L. 262 2001 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 259 1991 A hybrid particle level set method for improved interface capturing. Zbl 1021.76044Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian 258 2002 Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039Colagrossi, Andrea; Landrini, Maurizio 254 2003 Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P. 253 1998 An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Zbl 0957.76043Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W. 249 1999 How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060Abgrall, Rémi 248 1996 The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181Shen, Jie; Xu, Jie; Yang, Jiang 244 2018 Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107Cui, Mingrong 244 2009 Exact non-reflecting boundary conditions. Zbl 0671.65094Keller, Joseph B.; Givoli, Dan 242 1989 Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. Zbl 0832.65098Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul 235 1994 Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi 235 1994 A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 234 2008 An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020Popinet, Stéphane 232 2009 A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo 231 2000 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 230 1990 Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120Plimpton, Steve 229 1995 Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011Strand, Bo 227 1994 On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128Zhang, Xiangxiong; Shu, Chi-Wang 221 2010 Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. 221 2013 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. 218 1996 Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069Turkel, Eli 218 1987 A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068He, Xiaoyi; Chen, Shiyi; Doolen, Gary D. 217 1998 A multi-resolution SPH method for fluid-structure interactions. Zbl 07500760Zhang, Chi; Rezavand, Massoud; Hu, Xiangyu 4 2021 An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728Di Pietro, Daniele A.; Droniou, Jérôme 2 2021 Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems. Zbl 07500743Vahab, Mehdi; Sussman, Mark; Shoele, Kourosh 2 2021 An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. Zbl 07501578Tao, Zhanjing; Jiang, Yan; Cheng, Yingda 2 2021 Constitutive artificial neural networks: a fast and general approach to predictive data-driven constitutive modeling by deep learning. Zbl 07500745Linka, Kevin; Hillgärtner, Markus; Abdolazizi, Kian P.; Aydin, Roland C.; Itskov, Mikhail; Cyron, Christian J. 1 2021 Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations. 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Zbl 07501595Dutt, Krishna; Krivodonova, Lilia 1 2021 Solving inverse problems using conditional invertible neural networks. Zbl 07501600Padmanabha, Govinda Anantha; Zabaras, Nicholas 1 2021 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 46 2020 Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184Lee, Kookjin; Carlberg, Kevin T. 42 2020 A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116Liao, Hong-lin; Tang, Tao; Zhou, Tao 26 2020 Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin 22 2020 A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel. Zbl 1437.65237Gu, Xian-Ming; Wu, Shu-Lin 22 2020 A composite neural network that learns from multi-fidelity data: application to function approximation and inverse PDE problems. Zbl 1454.76006Meng, Xuhui; Karniadakis, George Em 21 2020 Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. Zbl 1453.68165Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 18 2020 Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065Jin, Shi; Li, Lei; Liu, Jian-Guo 15 2020 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 15 2020 Deep learning observables in computational fluid dynamics. Zbl 1436.76051Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep 14 2020 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 14 2020 Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130Geneva, Nicholas; Zabaras, Nicholas 12 2020 Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric 12 2020 A weakly compressible SPH method for violent multi-phase flows with high density ratio. Zbl 1453.76170Rezavand, Massoud; Zhang, Chi; Hu, Xiangyu 11 2020 An efficient class of WENO schemes with adaptive order for unstructured meshes. Zbl 1453.65208Balsara, Dinshaw S.; Garain, Sudip; Florinski, Vladimir; Boscheri, Walter 11 2020 A hybrid Hermite WENO scheme for hyperbolic conservation laws. Zbl 1453.65264Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian 11 2020 A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. Zbl 1453.65266Zhu, Jun; Shu, Chi-Wang 11 2020 Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. Zbl 1436.76035Zahr, M. J.; Shi, A.; Persson, P.-O. 11 2020 Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437Cai, Jiaxiang; Shen, Jie 10 2020 Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340Modave, A.; Geuzaine, C.; Antoine, X. 10 2020 High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. 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H. 9 2020 A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh. Zbl 1436.76038Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun 9 2020 An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207Guo, Ruchi; Lin, Tao 9 2020 Solving electrical impedance tomography with deep learning. Zbl 1453.65041Fan, Yuwei; Ying, Lexing 8 2020 A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems. Zbl 1436.76058Tang, Meng; Liu, Yimin; Durlofsky, Louis J. 8 2020 Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet. Zbl 1435.76057Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji 8 2020 Data driven approximation of parametrized PDEs by reduced basis and neural networks. Zbl 1437.65224Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca 8 2020 A mesh-free method for interface problems using the deep learning approach. 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Zbl 1453.86025Lee, D.; Palha, A. 4 2020 A face-area-weighted ‘centroid’ formula for finite-volume method that improves skewness and convergence on triangular grids. Zbl 1453.65258Nishikawa, Hiroaki 4 2020 A 3D conservative sharp interface method for simulation of compressible two-phase flows. Zbl 1453.76111Shen, Yi; Ren, Yi; Ding, Hang 4 2020 Second-order semi-implicit projection methods for micromagnetics simulations. Zbl 1453.82093Xie, Changjian; García-Cervera, Carlos J.; Wang, Cheng; Zhou, Zhennan; Chen, Jingrun 4 2020 ...and 467 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 61,298 Authors 248 Shu, Chi-Wang 236 Dehghan Takht Fooladi, Mehdi 182 Karniadakis, George Em 169 Simos, Theodore E. 120 Chung, Tsz Shun Eric 120 Liu, Fawang 118 Dumbser, Michael 111 Nordström, Jan 103 Shen, Jie 102 Wang, Hong 101 Shu, Chang 100 Boyd, John Philip 99 Xu, Kun 94 Sagaut, Pierre 93 Băleanu, Dumitru I. 92 Hughes, Thomas J. R. 91 Hesthaven, Jan S. 91 Huang, Yunqing 89 He, Yinnian 89 Kim, Junseok 89 Yang, Xiaofeng 88 Liu, Wing Kam 87 Adams, Nikolaus A. 86 Qiu, Jianxian 84 Jin, Shi 84 Turner, Ian William 83 Tezduyar, Tayfun E. 81 Quarteroni, Alfio M. 81 Sheu, Tony Wen-Hann 81 Verzicco, Roberto 79 Bazilevs, Yuri 79 Shashkov, Mikhail J. 78 Seaïd, Mohammed 78 Toro, Eleuterio F. 77 Khoo, Boo Cheong 76 Codina, Ramon 76 Li, Jichun 75 Osher, Stanley Joel 73 Bao, Weizhu 73 Sherwin, Spencer J. 72 Majda, Andrew J. 71 Oñate Ibáñez de Navarra, Eugenio 70 Abgrall, Rémi 70 Feng, Xinlong 70 Rebholz, Leo G. 69 Efendiev, Yalchin R. 68 Du, Qiang 68 Glowinski, Roland 68 Wang, Cheng 66 Zhang, Zhimin 65 Farhat, Charbel H. 65 Wang, Yushun 64 Sun, Zhizhong 63 Abbaszadeh, Mostafa 63 Bhrawy, Ali Hassan 63 Lin, Guang 63 Liu, Gui-Rong 63 Wall, Wolfgang A. 62 Schwab, Christoph 62 Sun, Shuyu 62 Takizawa, Kenji 61 Antoine, Xavier 61 Chen, Wen 61 Cockburn, Bernardo 60 Ying, Lexing 59 Lowengrub, John Samuel 59 Vuik, Cornelis 59 Wheeler, Mary Fanett 59 Yuan, Guangwei 58 Guermond, Jean-Luc 58 Li, Zhilin 58 Macías-Díaz, Jorge Eduardo 58 Mohanty, Ranjan Kumar 57 Doha, Eid H. 57 Gunzburger, Max D. 57 Kurganov, Alexander 57 Löhner, Rainald 56 Hou, Thomas Yizhao 56 Liu, Tiegang 56 Rozza, Gianluigi 55 Degond, Pierre 55 Greengard, Leslie F. 55 Jenny, Patrick 55 Liu, Hailiang 55 Lohse, Detlef 55 Manzini, Gianmarco 54 Kuzmin, Dmitri 54 Munz, Claus-Dieter 54 Oden, John Tinsley 54 Rabczuk, Timon 54 Shi, Baochang 54 Tchelepi, Hamdi A. 54 Zhang, Jun 53 Bürger, Raimund 53 Moin, Parviz 53 Nicholls, David P. 53 Schneider, Kai 53 Shyy, Wei 53 Turkel, Eli L. 52 Givoli, Dan ...and 61,198 more Authors all top 5 Cited in 984 Journals 10,103 Journal of Computational Physics 3,702 Computer Methods in Applied Mechanics and Engineering 3,656 Computers and Fluids 3,556 Journal of Fluid Mechanics 2,112 Journal of Computational and Applied Mathematics 1,912 Journal of Scientific Computing 1,853 Computers & Mathematics with Applications 1,701 Applied Mathematics and Computation 1,399 Applied Numerical Mathematics 1,375 Physics of Fluids 1,073 SIAM Journal on Scientific Computing 1,045 International Journal for Numerical Methods in Fluids 1,019 Engineering Analysis with Boundary Elements 887 Applied Mathematical Modelling 882 International Journal for Numerical Methods in Engineering 694 Computational Mechanics 581 Mathematics of Computation 549 Numerische Mathematik 531 International Journal of Computer Mathematics 514 Communications in Computational Physics 507 International Journal of Computational Fluid Dynamics 503 European Journal of Mechanics. 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