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: 16,846 Publications (since 1966) References Indexed: 15,830 Publications with 583,969 References. all top 5 Latest Issues 514 (2024) 513 (2024) 512 (2024) 511 (2024) 508 (2024) 507 (2024) 506 (2024) 505 (2024) 504 (2024) 503 (2024) 502 (2024) 501 (2024) 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) ...and 682 more Volumes all top 5 Authors 117 Shu, Chi-Wang 107 Karniadakis, George Em 81 Nordström, Jan 70 Xu, Kun 65 Osher, Stanley Joel 62 Adams, Nikolaus A. 53 Shashkov, Mikhail J. 48 Dumbser, Michael 48 Gibou, Frédéric 48 Jenny, Patrick 46 Chacón, Luis 46 Colella, Phillip 43 Shen, Jie 42 Lin, Guang 41 Balsara, Dinshaw S. 41 Hesthaven, Jan S. 41 Shu, Chang 41 Zabaras, Nicholas J. 40 Hu, Xiangyu Y. 39 Boyd, John Philip 39 Qiu, Jianxian 39 Sagaut, Pierre 39 Xiao, Feng 38 Turkel, Eli L. 37 Moin, Parviz 37 Toro, Eleuterio Francisco 36 Greengard, Leslie F. 35 Tchelepi, Hamdi A. 34 Efendiev, Yalchin R. 34 Jin, Shi 34 Knoll, Dana A. 33 Abgrall, Rémi 33 Chung, Tsz Shun Eric 33 Nishikawa, Hiroaki 33 Xiu, Dongbin 32 Fedkiw, Ronald P. 31 Lowengrub, John Samuel 31 Tang, Huazhong 30 Cai, Wei 30 Ying, Lexing 29 Carpenter, Mark H. 29 Koumoutsakos, Petros D. 29 Loubère, Raphaël 29 Morel, Jim E. 28 Degond, Pierre 28 Henshaw, William D. 28 Lai, Mingchih 28 Smolarkiewicz, Piotr K. 28 Tartakovsky, Daniel M. 27 Banks, Jeffrey W. 27 Dong, Suchuan 27 Khoo, Boo Cheong 26 Brackbill, Jeremiah U. 26 Gassner, Gregor J. 26 Hou, Thomas Yizhao 26 Peskin, Charles S. 26 Sethian, James Albert 26 Shyy, Wei 25 Antoine, Xavier 25 Bao, Weizhu 25 Christlieb, Andrew J. 25 Luo, Hong 25 Mattsson, Ken 25 Nguyen, Ngoc Cuong 25 Shadid, John N. 25 Sherwin, Spencer J. 25 Wang, Zhijian 24 Farhat, Charbel H. 24 Giraldo, Francis X. 24 Gottlieb, David I. 24 Iollo, Angelo 24 Kuzmin, Dmitri 24 Lipnikov, Konstantin N. 24 Luo, Lishi 24 Russo, Giovanni 24 Sun, Shuyu 24 Tornberg, Anna-Karin 24 Yee, Helen C. 23 Fornberg, Bengt 23 Huang, Weizhang 23 Koren, Barry 23 Majda, Andrew J. 23 Munz, Claus-Dieter 23 Qiu, Jingmei 23 Wang, Xiaoping 22 Bell, John B. 22 E, Weinan 22 Hajibeygi, Hadi 22 Iaccarino, Gianluca 22 Liu, Hailiang 22 Pope, Stephen Bailey 22 Schwendeman, Donald William 22 Wang, Hong 21 Bruno, Oscar P. 21 Cockburn, Bernardo 21 Colonius, Tim 21 Ferrer, Esteban 21 Griffith, Boyce E. 21 Saurel, Richard 21 Tartakovsky, Alexandre M. ...and 20,433 more Authors all top 5 Fields 10,679 Numerical analysis (65-XX) 9,055 Fluid mechanics (76-XX) 3,960 Partial differential equations (35-XX) 1,432 Statistical mechanics, structure of matter (82-XX) 1,055 Optics, electromagnetic theory (78-XX) 989 Mechanics of deformable solids (74-XX) 617 Geophysics (86-XX) 556 Classical thermodynamics, heat transfer (80-XX) 506 Quantum theory (81-XX) 497 Biology and other natural sciences (92-XX) 471 Computer science (68-XX) 371 Probability theory and stochastic processes (60-XX) 346 Ordinary differential equations (34-XX) 288 Statistics (62-XX) 257 Integral equations (45-XX) 197 Dynamical systems and ergodic theory (37-XX) 180 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 14,594 Publications have been cited 348,391 times in 88,326 Documents Cited by ▼ Year ▼ Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132 Osher, Stanley; Sethian, James A. 2,370 1988 Efficient implementation of weighted ENO schemes. Zbl 0877.65065 Jiang, Guang-Shan; Shu, Chi-Wang 2,188 1996 Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066 Roe, P. L. 1,962 1981 Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072 Shu, Chi-Wang; Osher, Stanley 1,951 1988 Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006 Lele, Sanjiva K. 1,574 1992 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223 van Leer, Bram 1,546 1979 Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020 Hirt, C. W.; Nichols, B. D. 1,504 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. 1,263 1982 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. 1,262 2019 Weighted essentially non-oscillatory schemes. Zbl 0811.65076 Liu, Xu-Dong; Osher, Stanley; Chan, Tony 1,219 1994 The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057 Woodward, Paul; Colella, Phillip 1,186 1984 A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077 Sussman, Mark; Smereka, Peter; Osher, Stanley 1,167 1994 A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129 Berenger, Jean-Pierre 1,116 1994 Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067 Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar 1,111 1987 Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061 Shu, Chi-Wang; Osher, Stanley 1,080 1989 A continuum method for modeling surface tension. Zbl 0775.76110 Brackbill, J. U.; Kothe, D. B.; Zemach, C. 1,047 1992 A fast algorithm for particle simulations. Zbl 0629.65005 Greengard, L.; Rokhlin, V. 1,042 1987 Numerical analysis of blood flow in the heart. Zbl 0403.76100 Peskin, Charles S. 1,042 1977 Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121 Lin, Yumin; Xu, Chuanju 1,025 2007 High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050 Harten, Ami 1,003 1983 The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059 Cockburn, Bernardo; Shu, Chi-Wang 985 1998 A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063 Sod, Gary A. 862 1978 Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038 Kim, John; Moin, Parviz 858 1985 Flow patterns around heart valves: A numerical method. Zbl 0244.92002 Peskin, Charles S. 778 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 735 1999 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802 Chorin, Alexandre Joel 728 1967 A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065 Hou, Thomas Y.; Wu, Xiao-Hui 721 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. 716 1997 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 699 2004 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 694 1989 A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047 Unverdi, Salih Ozen; Tryggvason, Grétar 669 1992 An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018 Hirt, C. W.; Amsden, A. A.; Cook, J. L. 623 1974 Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002 Zalesak, Steven T. 619 1979 Simulating free surface flows with SPH. Zbl 0794.76073 Monaghan, J. J. 608 1994 An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076 Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun 567 2008 Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071 Berger, Marsha J.; Oliger, Joseph 553 1984 Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070 Berger, M. J.; Colella, P. 550 1989 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. 544 2001 Exponential time differencing for stiff systems. Zbl 1005.65069 Cox, S. M.; Matthews, P. C. 542 2002 The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181 Shen, Jie; Xu, Jie; Yang, Jiang 539 2018 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. 536 2000 A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035 Patera, Anthony T. 533 1984 Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078 Balsara, Dinshaw S.; Shu, Chi-Wang 520 2000 Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084 Poinsot, T. J.; Lele, S. K. 515 1992 DGM: a deep learning algorithm for solving partial differential equations. Zbl 1416.65394 Sirignano, Justin; Spiliopoulos, Konstantinos 508 2018 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045 Knoll, D. A.; Keyes, D. E. 505 2004 The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082 Colella, Phillip; Woodward, Paul R. 492 1984 A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030 Bell, John B.; Colella, Phillip; Glaz, Harland M. 490 1989 Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057 Tam, Christopher K. W.; Webb, Jay C. 480 1993 A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261 Alikhanov, Anatoly A. 479 2015 Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024 Issa, R. I. 479 1986 Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068 Nessyahu, Haim; Tadmor, Eitan 469 1990 Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066 Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi 448 1997 High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050 Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A. 447 1991 Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114 Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M. 430 2005 Reconstructing volume tracking. Zbl 0933.76069 Rider, William J.; Kothe, Douglas B. 428 1998 Level set methods: An overview and some recent results. Zbl 0988.65093 Osher, Stanley; Fedkiw, Ronald P. 428 2001 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055 van Leer, Bram 427 1974 An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398 Uhlmann, Markus 424 2005 New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085 Kurganov, Alexander; Tadmor, Eitan 424 2000 Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090 Hu, Changqing; Shu, Chi-Wang 411 1999 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056 van Leer, Bram 411 1977 Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004 Boris, Jay P.; Book, David L. 407 1973 A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053 Saurel, Richard; Abgrall, Rémi 403 1999 Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060 Jacqmin, David 403 1999 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 391 2000 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122 Rokhlin, V. 385 1985 Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120 Plimpton, Steve 371 1995 Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066 Steger, Joseph L.; Warming, R. F. 360 1981 Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018 Benzi, Michele 355 2002 On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128 Zhang, Xiangxiong; Shu, Chi-Wang 355 2010 Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617 Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. 351 2013 The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123 Langlands, T. A. M.; Henry, B. I. 350 2005 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059 LeVeque, Randall J. 346 1998 Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039 Colagrossi, Andrea; Landrini, Maurizio 343 2003 Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061 Bellman, Richard; Kashef, B. G.; Casti, J. 343 1972 A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089 Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter 343 2006 On Godunov-type methods near low densities. Zbl 0709.76102 Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 342 1991 An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066 Lai, Ming-Chih; Peskin, Charles S. 339 2000 An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039 Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon 338 2001 Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111 Xiu, Dongbin; Karniadakis, George Em 334 2003 An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020 Popinet, Stéphane 334 2009 A PDE-based fast local level set method. Zbl 0964.76069 Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 332 1999 Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049 Goldstein, D.; Handler, R.; Sirovich, L. 321 1993 Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339 Brown, David L.; Cortez, Ricardo; Minion, Michael L. 320 2001 On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096 Zhang, Xiangxiong; Shu, Chi-Wang 320 2010 How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060 Abgrall, Rémi 318 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. 316 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 316 2008 High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. Zbl 1211.65108 Castro, Marcos; Costa, Bruno; Don, Wai Sun 307 2011 A hybrid particle level set method for improved interface capturing. Zbl 1021.76044 Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian 303 2002 Structural boundary design via level set and immersed interface methods. Zbl 0994.74082 Sethian, J. A.; Wiegmann, Andreas 301 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 300 2014 Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054 Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P. 299 1998 Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107 Cui, Mingrong 294 2009 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 289 1994 Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. Zbl 0147.44202 Arakawa, Akio 286 1966 Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative. Zbl 1242.65157 Çelik, Cem; Duman, Melda 286 2012 A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105 Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo 282 2000 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. 281 1999 Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction. Zbl 07797652 Mantri, Yogiraj; Öffner, Philipp; Ricchiuto, Mario 4 2024 Multicomponent droplet evaporation in a geometric volume-of-fluid framework. Zbl 07863593 Cipriano, Edoardo; Saufi, Abd Essamade; Frassoldati, Alessio; Faravelli, Tiziano; Popinet, Stéphane; Cuoci, Alberto 3 2024 Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations. Zbl 07842893 Song, Jin; Zhong, Ming; Karniadakis, George Em; Yan, Zhenya 2 2024 A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. Zbl 07819051 Bonizzoni, Francesca; Hauck, Moritz; Peterseim, Daniel 2 2024 Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics. Zbl 07797664 Nordström, Jan 2 2024 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. 2 2024 A structure preserving numerical method for the ideal compressible MHD system. Zbl 07863631 Dao, Tuan Anh; Nazarov, Murtazo; Tomas, Ignacio 2 2024 High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes. Zbl 07833818 Maltsev, Vadim; Skote, Martin; Tsoutsanis, Panagiotis 1 2024 An implicit, conservative electrostatic particle-in-cell algorithm for paraxial magnetic nozzles. Zbl 07833823 Jiménez, Pedro; Chacón, Luis; Merino, Mario 1 2024 A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. Zbl 07833828 Einkemmer, Lukas; Mangott, Julian; Prugger, Martina 1 2024 Bayesian model calibration for block copolymer self-assembly: likelihood-free inference and expected information gain computation via measure transport. Zbl 07833839 Baptista, Ricardo; Cao, Lianghao; Chen, Joshua; Ghattas, Omar; Li, Fengyi; Marzouk, Youssef M.; Oden, J. Tinsley 1 2024 A stochastic Fokker-Planck-master model for diatomic rarefied gas flows. Zbl 07843837 Kim, Sanghun; Jun, Eunji 1 2024 An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids. Zbl 07797635 van der Eijk, Martin; Wellens, Peter 1 2024 A conservative second order phase field model for simulation of \(N\)-phase flows. Zbl 07797636 Mirjalili, Shahab; Mani, Ali 1 2024 Physics-informed machine learning method with space-time Karhunen-Loève expansions for forward and inverse partial differential equations. Zbl 07819070 Tartakovsky, Alexandre M.; Zong, Yifei 1 2024 Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity. Zbl 07819073 Barral, Nicolas; Taddei, Tommaso; Tifouti, Ishak 1 2024 Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations. Zbl 07819050 Klein, R. B.; Sanderse, B. 1 2024 Viscoelastic constitutive artificial neural networks (vCANNs) – a framework for data-driven anisotropic nonlinear finite viscoelasticity. Zbl 07819054 Abdolazizi, Kian P.; Linka, Kevin; Cyron, Christian J. 1 2024 A semi-implicit finite volume method for the Exner model of sediment transport. Zbl 07819061 Macca, Emanuele; Avgerinos, Stavros; Castro-Diaz, Manuel J.; Russo, Giovanni 1 2024 Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics. Zbl 07819072 Margenberg, Nils; Kärtner, Franz X.; Bause, Markus 1 2024 A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. Zbl 07842861 Dumbser, Michael; Zanotti, Olindo; Gaburro, Elena; Peshkov, Ilya 1 2024 Stochastic modelling of symmetric positive definite material tensors. Zbl 07842876 Shivanand, Sharana Kumar; Rosić, Bojana; Matthies, Hermann G. 1 2024 Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks. Zbl 07797628 Anderson, William; Farazmand, Mohammad 1 2024 A symmetry and Noether charge preserving discretization of initial value problems. Zbl 07797631 Rothkopf, Alexander; Nordström, Jan 1 2024 Imaging multiple magnetized anomalies by geomagnetic monitoring. Zbl 07797640 Chen, Rongliang; Deng, Youjun; Gao, Yang; Li, Jingzhi; Liu, Hongyu 1 2024 An unconditionally energy-stable and orthonormality-preserving iterative scheme for the Kohn-Sham gradient flow based model. Zbl 07797649 Wang, Xiuping; Chen, Huangxin; Kou, Jisheng; Sun, Shuyu 1 2024 Geometric particle-in-cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons. Zbl 07797650 Li, Yingzhe; Campos Pinto, Martin; Holderied, Florian; Possanner, Stefan; Sonnendrücker, Eric 1 2024 An implicit-explicit solver for a two-fluid single-temperature model. Zbl 07797668 Lukáčová-Medviďová, Mária; Peshkov, Ilya; Thomann, Andrea 1 2024 A new semi-implicit pressure-based solver considering real gas effect. Zbl 07829507 Wada, Sho; Kai, Reo; Kurose, Ryoichi 1 2024 A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation. Zbl 07829518 Gatti, Federico; de Falco, Carlo; Perotto, Simona; Formaggia, Luca; Pastor, Manuel 1 2024 A semi-meshless Lagrangian finite-volume framework based on Voronoi diagram for general elastoplastic Reissner-Mindlin shell. 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Zbl 07807996 Bourgeois, Rémi; Tremblin, Pascal; Kokh, Samuel; Padioleau, Thomas 1 2024 Accelerating inverse inference of ensemble Kalman filter via reduced-order model trained using adaptive sparse observations. Zbl 07808000 Wang, Yuepeng; Li, Jie; Zhao, Wenju; Navon, I. M.; Lin, Guang 1 2024 NAS-PINN: neural architecture search-guided physics-informed neural network for solving PDEs. Zbl 07808002 Wang, Yifan; Zhong, Linlin 1 2024 A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations. Zbl 07811310 Treister, Eran; Yovel, Rachel 1 2024 Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure. Zbl 07811319 Boccelli, Stefano; Kaufmann, Willem; Magin, Thierry E.; McDonald, James G. 1 2024 Data-driven reduced-order modelling for blood flow simulations with geometry-informed snapshots. 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Zbl 07660356 Mir, Reyhaneh; Mirzaei, Davoud 6 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 6 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. 5 2023 Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations. Zbl 07690222 Jin, Shi; Liu, Nana; Yu, Yue 5 2023 A family of well-balanced WENO and TENO schemes for atmospheric flows. 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Zbl 07649283 Yin, Tianai; Zhong, Xinghui; Wang, Yanli 5 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 5 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. 5 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. 5 2023 Greedy training algorithms for neural networks and applications to PDEs. Zbl 07679188 Siegel, Jonathan W.; Hong, Qingguo; Jin, Xianlin; Hao, Wenrui; Xu, Jinchao 5 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. 5 2023 Three-dimensional high-order finite-volume method based on compact WENO reconstruction with hybrid unstructured grids. Zbl 07715230 Zhan, Ningyu; Chen, Rongqian; You, Yancheng 4 2023 A comparative study of scalable multilevel preconditioners for cardiac mechanics. Zbl 07742907 Barnafi, Nicolás A.; Pavarino, Luca F.; Scacchi, Simone 4 2023 High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system. Zbl 07748043 Li, Xin; Sheng, Zhou; Zhang, Luming 4 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. 4 2023 Asymmetric transport computations in Dirac models of topological insulators. Zbl 07690224 Bal, Guillaume; Hoskins, Jeremy G.; Wang, Zhongjian 4 2023 Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. Zbl 07690225 Kuzmin, Dmitri; Vedral, Joshua 4 2023 ...and 992 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 80,066 Authors 299 Shu, Chi-Wang 295 Dehghan Takht Fooladi, Mehdi 228 Karniadakis, George Em 195 Simos, Theodore E. 153 Dumbser, Michael 153 Shen, Jie 151 Kim, Junseok 151 Liu, Fawang 147 Chung, Tsz Shun Eric 142 Nordström, Jan 135 Shu, Chang 127 Băleanu, Dumitru I. 125 Huang, Yunqing 125 Wang, Hong 122 Yang, Xiaofeng 118 Feng, Xinlong 117 Boyd, John Philip 114 Xu, Kun 112 Qiu, Jianxian 111 Adams, Nikolaus A. 111 Hesthaven, Jan S. 111 Jin, Shi 111 Quarteroni, Alfio M. 110 He, Yinnian 107 Seaïd, Mohammed 104 Sagaut, Pierre 104 Turner, Ian William 101 Chen, Wen 101 Liu, Wing Kam 100 Hughes, Thomas J. 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