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Journal of Computational Physics

Short Title: J. Comput. Phys.
Publisher: Elsevier (Academic Press), Amsterdam
ISSN: 0021-9991
Online: http://www.sciencedirect.com/science/journal/00219991
Comments: Journal
Documents Indexed: 16,513 Publications (since 1966)
References Indexed: 15,493 Publications with 565,084 References.
all top 5

Authors

114 Shu, Chi-Wang
105 Karniadakis, George Em
76 Nordström, Jan
69 Xu, Kun
64 Osher, Stanley Joel
61 Adams, Nikolaus A.
53 Shashkov, Mikhail J.
48 Gibou, Frédéric
48 Jenny, Patrick
47 Dumbser, Michael
46 Colella, Phillip
44 Chacón, Luis
42 Lin, Guang
41 Balsara, Dinshaw S.
41 Shu, Chang
41 Zabaras, Nicholas J.
40 Hu, Xiangyu Y.
39 Boyd, John Philip
39 Hesthaven, Jan S.
38 Qiu, Jianxian
38 Sagaut, Pierre
38 Turkel, Eli L.
37 Moin, Parviz
37 Toro, Eleuterio Francisco
37 Xiao, Feng
36 Greengard, Leslie F.
35 Tchelepi, Hamdi A.
34 Efendiev, Yalchin R.
34 Jin, Shi
34 Knoll, Dana A.
34 Shen, Jie
33 Nishikawa, Hiroaki
32 Abgrall, Rémi
32 Chung, Tsz Shun Eric
32 Fedkiw, Ronald P.
32 Xiu, Dongbin
31 Lowengrub, John Samuel
31 Tang, Huazhong
30 Cai, Wei
29 Koumoutsakos, Petros D.
29 Morel, Jim E.
29 Ying, Lexing
28 Carpenter, Mark H.
28 Degond, Pierre
28 Henshaw, William D.
28 Lai, Mingchih
28 Smolarkiewicz, Piotr K.
27 Loubère, Raphaël
26 Banks, Jeffrey W.
26 Brackbill, Jeremiah U.
26 Dong, Suchuan
26 Hou, Thomas Yizhao
26 Peskin, Charles S.
26 Shyy, Wei
26 Tartakovsky, Daniel M.
25 Antoine, Xavier
25 Bao, Weizhu
25 Christlieb, Andrew J.
25 Gassner, Gregor J.
25 Khoo, Boo Cheong
25 Luo, Hong
25 Mattsson, Ken
25 Sethian, James A.
25 Shadid, John N.
25 Wang, Zhijian
24 Giraldo, Francis X.
24 Gottlieb, David I.
24 Kuzmin, Dmitri
24 Lipnikov, Konstantin N.
24 Luo, Lishi
24 Russo, Giovanni
24 Sherwin, Spencer J.
24 Sun, Shuyu
24 Tornberg, Anna-Karin
24 Yee, Helen C.
23 Farhat, Charbel H.
23 Fornberg, Bengt
23 Huang, Weizhang
23 Iollo, Angelo
23 Koren, Barry
23 Majda, Andrew J.
23 Munz, Claus-Dieter
23 Nguyen, Ngoc Cuong
23 Qiu, Jingmei
22 E, Weinan
22 Hajibeygi, Hadi
22 Pope, Stephen Bailey
22 Schwendeman, Donald William
22 Wang, Hong
22 Wang, Xiaoping
21 Bell, John B.
21 Bruno, Oscar P.
21 Cockburn, Bernardo
21 Colonius, Tim
21 Ferrer, Esteban
21 Iaccarino, Gianluca
21 Liu, Hailiang
21 Vasilyev, Oleg V.
20 Griffith, Boyce E.
20 Lapenta, Giovanni
...and 19,957 more Authors
all top 5

Fields

10,410 Numerical analysis (65-XX)
8,864 Fluid mechanics (76-XX)
3,874 Partial differential equations (35-XX)
1,412 Statistical mechanics, structure of matter (82-XX)
1,047 Optics, electromagnetic theory (78-XX)
973 Mechanics of deformable solids (74-XX)
613 Geophysics (86-XX)
551 Classical thermodynamics, heat transfer (80-XX)
502 Quantum theory (81-XX)
489 Biology and other natural sciences (92-XX)
422 Computer science (68-XX)
359 Probability theory and stochastic processes (60-XX)
345 Ordinary differential equations (34-XX)
275 Statistics (62-XX)
254 Integral equations (45-XX)
188 Dynamical systems and ergodic theory (37-XX)
176 Calculus of variations and optimal control; optimization (49-XX)
156 Astronomy and astrophysics (85-XX)
136 Approximations and expansions (41-XX)
117 Mechanics of particles and systems (70-XX)
116 Special functions (33-XX)
109 Operations research, mathematical programming (90-XX)
82 Systems theory; control (93-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
61 Information and communication theory, circuits (94-XX)
55 Relativity and gravitational theory (83-XX)
32 Integral transforms, operational calculus (44-XX)
31 Functions of a complex variable (30-XX)
31 Differential geometry (53-XX)
28 Global analysis, analysis on manifolds (58-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Real functions (26-XX)
22 Potential theory (31-XX)
21 General and overarching topics; collections (00-XX)
20 Difference and functional equations (39-XX)
18 Combinatorics (05-XX)
18 Convex and discrete geometry (52-XX)
16 Operator theory (47-XX)
15 History and biography (01-XX)
11 Functional analysis (46-XX)
9 Number theory (11-XX)
9 Group theory and generalizations (20-XX)
6 Measure and integration (28-XX)
4 Nonassociative rings and algebras (17-XX)
4 Topological groups, Lie groups (22-XX)
4 Sequences, series, summability (40-XX)
3 Commutative algebra (13-XX)
3 Manifolds and cell complexes (57-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)

Publications by Year

Citations contained in zbMATH Open

13,945 Publications have been cited 314,489 times in 79,723 Documents Cited by Year
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132
Osher, Stanley; Sethian, James A.
1988
Efficient implementation of weighted ENO schemes. Zbl 0877.65065
Jiang, Guang-Shan; Shu, Chi-Wang
1996
Efficient implementation of essentially nonoscillatory shock-capturing schemes. Zbl 0653.65072
Shu, Chi-Wang; Osher, Stanley
1988
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
Compact finite difference schemes with spectral-like resolution. Zbl 0759.65006
Lele, Sanjiva K.
1992
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223
van Leer, Bram
1979
Volume of fluid (VOF) method for the dynamics of free boundaries. Zbl 0462.76020
Hirt, C. W.; Nichols, B. D.
1981
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Zbl 0511.76031
Ghia, U.; Ghia, K. N.; Shin, C. T.
1982
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
A level set approach for computing solutions to incompressible two-phase flow. Zbl 0808.76077
Sussman, Mark; Smereka, Peter; Osher, Stanley
1994
Uniformly high order accurate essentially non-oscillatory schemes. III. Zbl 0652.65067
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar
1987
The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057
Woodward, Paul; Colella, Phillip
1984
A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129
Berenger, Jean-Pierre
1994
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
992
1989
A continuum method for modeling surface tension. Zbl 0775.76110
Brackbill, J. U.; Kothe, D. B.; Zemach, C.
966
1992
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
966
1977
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
942
1987
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Zbl 1415.68175
Raissi, M.; Perdikaris, P.; Karniadakis, G. E.
934
2019
Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
Lin, Yumin; Xu, Chuanju
933
2007
High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050
Harten, Ami
915
1983
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
902
1998
Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038
Kim, John; Moin, Parviz
818
1985
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063
Sod, Gary A.
745
1978
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
718
1972
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Zbl 0957.76052
Fedkiw, Ronald P.; Aslam, Tariq; Merriman, Barry; Osher, Stanley
703
1999
A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
Hou, Thomas Y.; Wu, Xiao-Hui
676
1997
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040
Bassi, F.; Rebay, S.
674
1997
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
672
1967
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems. Zbl 0677.65093
Cockburn, Bernardo; Lin, San-Yih; Shu, Chi-Wang
653
1989
A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
Unverdi, Salih Ozen; Tryggvason, Grétar
633
1992
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
616
2004
An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
Hirt, C. W.; Amsden, A. A.; Cook, J. L.
551
1974
Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
Zalesak, Steven T.
547
1979
Simulating free surface flows with SPH. Zbl 0794.76073
Monaghan, J. J.
547
1994
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun
520
2008
A front-tracking method for the computations of multiphase flow. Zbl 1047.76574
Tryggvason, G.; Bunner, B.; Esmaeeli, A.; Juric, D.; Al-Rawahi, N.; Tauber, W.; Han, J.; Nas, S.; Jan, Y.-J.
514
2001
Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
Berger, Marsha J.; Oliger, Joseph
510
1984
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073
Fadlun, E. A.; Verzicco, R.; Orlandi, P.; Mohd-Yusof, J.
510
2000
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
Poinsot, T. J.; Lele, S. K.
501
1992
Exponential time differencing for stiff systems. Zbl 1005.65069
Cox, S. M.; Matthews, P. C.
501
2002
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
493
2000
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
Berger, M. J.; Colella, P.
489
1989
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
478
1984
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
474
2018
Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
Knoll, D. A.; Keyes, D. E.
470
2004
Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
Tam, Christopher K. W.; Webb, Jay C.
449
1993
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
Bell, John B.; Colella, Phillip; Glaz, Harland M.
448
1989
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
Issa, R. I.
442
1986
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
Nessyahu, Haim; Tadmor, Eitan
440
1990
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
436
1984
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
427
1991
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
Alikhanov, Anatoly A.
411
2015
DGM: a deep learning algorithm for solving partial differential equations. Zbl 1416.65394
Sirignano, Justin; Spiliopoulos, Konstantinos
409
2018
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
404
1997
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M.
402
2005
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
400
2001
Reconstructing volume tracking. Zbl 0933.76069
Rider, William J.; Kothe, Douglas B.
400
1998
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
Uhlmann, Markus
399
2005
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
390
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
384
1999
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
384
1999
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
375
1974
A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Zbl 0977.76071
Sussman, Mark; Puckett, Elbridge Gerry
371
2000
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
361
1977
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
Jacqmin, David
360
1999
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
347
1985
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
Plimpton, Steve
334
1995
Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
Boris, Jay P.; Book, David L.
333
1973
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
330
2002
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
327
2000
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
Langlands, T. A. M.; Henry, B. I.
324
2005
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
324
2010
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
323
1998
An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon
322
2001
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
317
1999
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
317
2013
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
316
1991
A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter
315
2006
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
315
2003
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
313
1972
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
Goldstein, D.; Handler, R.; Sirovich, L.
311
1993
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
Popinet, Stéphane
310
2009
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
309
2003
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
304
1981
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
303
1996
A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097
Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J.
301
2001
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
300
2001
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter
299
2008
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
291
2010
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
287
2002
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P.
284
1998
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. Zbl 1211.65108
Castro, Marcos; Costa, Bruno; Don, Wai Sun
282
2011
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. Zbl 0832.65098
Carpenter, Mark H.; Gottlieb, David; Abarbanel, Saul
280
1994
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Zbl 0957.76043
Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W.
274
1999
Summation by parts for finite difference approximations for \(d/dx\). Zbl 0792.65011
Strand, Bo
271
1994
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
267
2000
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
Cui, Mingrong
267
2009
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
266
2000
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088
Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei
262
2014
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi
261
1994
A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics. Zbl 07808005
Rueda-Ramírez, Andrés M.; Gassner, Gregor J.
1
2024
Self-adaptive physics-informed neural networks. Zbl 07640528
McClenny, Levi D.; Braga-Neto, Ulisses M.
14
2023
Uncertainty quantification in scientific machine learning: methods, metrics, and comparisons. Zbl 07652802
Psaros, Apostolos F.; Meng, Xuhui; Zou, Zongren; Guo, Ling; Karniadakis, George Em
10
2023
DAS-PINNs: a deep adaptive sampling method for solving high-dimensional partial differential equations. Zbl 07652779
Tang, Kejun; Wan, Xiaoliang; Yang, Chao
7
2023
Stencil selection algorithms for WENO schemes on unstructured meshes. Zbl 07649256
Tsoutsanis, Panagiotis
7
2023
Well-balanced path-conservative central-upwind schemes based on flux globalization. Zbl 07640539
Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao
5
2023
Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. Zbl 07652817
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin
5
2023
Long-time integration of parametric evolution equations with physics-informed DeepONets. Zbl 07649276
Wang, Sifan; Perdikaris, Paris
5
2023
Moments-based interface reconstruction, remap and advection. Zbl 07660355
Shashkov, Mikhail; Kikinzon, Eugene
5
2023
Controlling conservation laws. I: entropy-entropy flux. Zbl 07662518
Li, Wuchen; Liu, Siting; Osher, Stanley
5
2023
Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes. Zbl 07625424
Maltsev, Vadim; Yuan, Dean; Jenkins, Karl W.; Skote, Martin; Tsoutsanis, Panagiotis
4
2023
Neural operator prediction of linear instability waves in high-speed boundary layers. Zbl 07640550
Clark Di Leoni, Patricio; Lu, Lu; Meneveau, Charles; Karniadakis, George Em; Zaki, Tamer A.
4
2023
Stabilized neural ordinary differential equations for long-time forecasting of dynamical systems. Zbl 07640581
Linot, Alec J.; Burby, Joshua W.; Tang, Qi; Balaprakash, Prasanna; Graham, Michael D.; Maulik, Romit
4
2023
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. Zbl 07649271
Lin, Yimin; Chan, Jesse; Tomas, Ignacio
4
2023
Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. Zbl 07649272
Rueda-Ramírez, Andrés M.; Hindenlang, Florian J.; Chan, Jesse; Gassner, Gregor J.
4
2023
On the influence of over-parameterization in manifold based surrogates and deep neural operators. Zbl 07660362
Kontolati, Katiana; Goswami, Somdatta; Shields, Michael D.; Karniadakis, George Em
4
2023
A modified and efficient phase field model for the biological transport network. Zbl 07696965
Xia, Qing; Jiang, Xiaoyu; Li, Yibao
4
2023
A robust and conservative dynamical low-rank algorithm. Zbl 07679183
Einkemmer, Lukas; Ostermann, Alexander; Scalone, Carmela
3
2023
A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws. Zbl 07620360
Zhang, Min; Zhao, Zhuang
3
2023
Recursive formulation and parallel implementation of multiscale mixed methods. Zbl 07625379
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S.
3
2023
Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference. Zbl 07625381
Issan, Opal; Kramer, Boris
3
2023
Local characteristic decomposition based central-upwind scheme. Zbl 07625389
Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
3
2023
A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates. Zbl 07625390
Liu, Wei; Xie, Ziqing; Yuan, Yongjun
3
2023
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. Zbl 07625408
Alireza Mirhoseini, Marzieh; Zahr, Matthew J.
3
2023
The hybrid-dimensional Darcy’s law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. Zbl 07625418
Xu, Ziyao; Huang, Zhaoqin; Yang, Yang
3
2023
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. Zbl 07640533
Efendiev, Yalchin; Leung, Wing Tat
3
2023
Two-phase free-surface flow interaction with moving bodies using a consistent, momentum preserving method. Zbl 07640553
van der Eijk, Martin; Wellens, Peter
3
2023
A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Zbl 07652785
Bacigaluppi, Paola; Abgrall, Rémi; Tokareva, Svetlana
3
2023
Investigations on a high order SPH scheme using WENO reconstruction. Zbl 07652799
Vergnaud, A.; Oger, G.; Le Touzé, D.
3
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Parametric dynamic mode decomposition for reduced order modeling. Zbl 07649273
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo
3
2023
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes. Zbl 07649292
Khanwale, Makrand A.; Saurabh, Kumar; Ishii, Masado; Sundar, Hari; Rossmanith, James A.; Ganapathysubramanian, Baskar
3
2023
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow. Zbl 07649294
Coppola, Gennaro; Veldman, Arthur E. P.
3
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A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. Zbl 07660345
Africa, P. C.; Salvador, M.; Gervasio, P.; Dede’, L.; Quarteroni, A.
3
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An energy-stable smoothed particle hydrodynamics discretization of the Navier-Stokes-Cahn-Hilliard model for incompressible two-phase flows. Zbl 07660354
Feng, Xiaoyu; Qiao, Zhonghua; Sun, Shuyu; Wang, Xiuping
3
2023
Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm. Zbl 07690209
Luo, Dingcheng; Cao, Lianghao; Chen, Peng; Ghattas, Omar; Oden, J. Tinsley
3
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Computational mean-field games on manifolds. Zbl 07679184
Yu, Jiajia; Lai, Rongjie; Li, Wuchen; Osher, Stanley
2
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A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization. Zbl 07679186
Wen, Tianshu; Zahr, Matthew J.
2
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A numerical method for solving snapping out Brownian motion in 2D bounded domains. Zbl 07748065
Schumm, Ryan D.; Bressloff, Paul C.
2
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Symplectic learning for Hamiltonian neural networks. Zbl 07766215
David, Marco; Méhats, Florian
2
2023
Automated tuning for the parameters of linear solvers. Zbl 07766238
Petrushov, Andrey; Krasnopolsky, Boris
2
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An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on leidenfrost droplet. Zbl 07771282
Mialhe, Guillaume; Tanguy, Sébastien; Tranier, Léo; Popescu, Elena-Roxana; Legendre, Dominique
2
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Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. Zbl 07771286
Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp
2
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gLaSDI: parametric physics-informed greedy latent space dynamics identification. Zbl 07705908
He, Xiaolong; Choi, Youngsoo; Fries, William D.; Belof, Jonathan L.; Chen, Jiun-Shyan
2
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A family of well-balanced WENO and TENO schemes for atmospheric flows. Zbl 07705914
Navas-Montilla, Adrián; Echeverribar, Isabel
2
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Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. Zbl 07705917
Garcke, Harald; Nürnberg, Robert; Zhao, Quan
2
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A neural network warm-start approach for the inverse acoustic obstacle scattering problem. Zbl 07715260
Zhou, Mo; Han, Jiequn; Rachh, Manas; Borges, Carlos
2
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Unbiased estimation using a class of diffusion processes. Zbl 07620351
Ruzayqat, Hamza; Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas
2
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Committor functions via tensor networks. Zbl 07620352
Chen, Yian; Hoskins, Jeremy; Khoo, Yuehaw; Lindsey, Michael
2
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A primal-dual approach for solving conservation laws with implicit in time approximations. Zbl 07620354
Liu, Siting; Osher, Stanley; Li, Wuchen; Shu, Chi-Wang
2
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On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. Zbl 07620359
Hu, Guanghui; Xie, Hehu; Xu, Fei
2
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A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction. Zbl 07620361
Sadr, Mohsen; Hadjiconstantinou, Nicolas G.
2
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A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes. Zbl 07620362
Kou, Jiaqing; Ferrer, Esteban
2
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A fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings. Zbl 07620370
Anderson, Thomas G.; Zhu, Hai; Veerapaneni, Shravan
2
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A semi-implicit meshless method for incompressible flows in complex geometries. Zbl 07620379
Shahane, Shantanu; Vanka, Surya Pratap
2
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A dynamic mass transport method for Poisson-Nernst-Planck equations. Zbl 07625383
Liu, Hailiang; Maimaitiyiming, Wumaier
2
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Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. Zbl 07625385
Bukač, Martina; Fu, Guosheng; Seboldt, Anyastassia; Trenchea, Catalin
2
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B-DeepONet: an enhanced Bayesian deeponet for solving noisy parametric PDEs using accelerated replica exchange SGLD. Zbl 07625386
Lin, Guang; Moya, Christian; Zhang, Zecheng
2
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Optimal control of PDEs using physics-informed neural networks. Zbl 07625400
Mowlavi, Saviz; Nabi, Saleh
2
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Bayesian updating and marginal likelihood estimation by cross entropy based importance sampling. Zbl 07625415
Engel, Michael; Kanjilal, Oindrila; Papaioannou, Iason; Straub, Daniel
2
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Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation. Zbl 07625430
Arzani, Amirhossein; Cassel, Kevin W.; D’Souza, Roshan M.
2
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An efficient geometric method for incompressible hydrodynamics on the sphere. Zbl 07625431
Cifani, P.; Viviani, M.; Modin, K.
2
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Tensor-product-Thomas elliptic solver for liquid-metal magnetohydrodynamics. Zbl 07640543
Krasnov, Dmitry; Akhtari, Ali; Zikanov, Oleg; Schumacher, Jörg
2
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An efficient iterative method for dynamical Ginzburg-Landau equations. Zbl 07640551
Hong, Qingguo; Ma, Limin; Xu, Jinchao; Chen, Longqing
2
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Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models. Zbl 07640559
Shih, Yu-hsuan; Mehlmann, Carolin; Losch, Martin; Stadler, Georg
2
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A multigrid solver for the coupled pressure-temperature equations in an all-Mach solver with VoF. Zbl 07652778
Saade, Youssef; Lohse, Detlef; Fuster, Daniel
2
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An efficient hybrid multi-resolution WCNS scheme for solving compressible flows. Zbl 07652797
Wang, Zhenming; Zhu, Jun; Wang, Chunwu; Zhao, Ning
2
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Direct modeling for computational fluid dynamics and the construction of high-order compact scheme for compressible flow simulations. Zbl 07652814
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun
2
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A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems. Zbl 07652816
Ren, Yiming; Zhao, Shan
2
2023
Fast operator splitting methods for obstacle problems. Zbl 07652823
Liu, Hao; Wang, Dong
2
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Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells. Zbl 07649263
Kromer, Johannes; Bothe, Dieter
2
2023
Surrogate modeling for Bayesian inverse problems based on physics-informed neural networks. Zbl 07649264
Li, Yongchao; Wang, Yanyan; Yan, Liang
2
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Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. Zbl 07649266
Qiao, Zhonghua; Xu, Zhenli; Yin, Qian; Zhou, Shenggao
2
2023
Temporal accuracy of FastRK3. Zbl 07649274
Aithal, Abhiram B.; Tipirneni, Mira; Ferrante, Antonino
2
2023
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. Zbl 07649283
Yin, Tianai; Zhong, Xinghui; Wang, Yanli
2
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High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. Zbl 07649287
Pimentel-García, Ernesto; Müller, Lucas O.; Toro, Eleuterio F.; Parés, Carlos
2
2023
Data-driven control of agent-based models: an equation/variable-free machine learning approach. Zbl 07660326
Patsatzis, Dimitrios G.; Russo, Lucia; Kevrekidis, Ioannis G.; Siettos, Constantinos
2
2023
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. Zbl 07660332
Abu-Labdeh, Razan; MacLachlan, Scott; Farrell, Patrick E.
2
2023
A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers. Zbl 07660335
Zeng, Yadong; Liu, Han; Gao, Qiang; Almgren, Ann; Bhalla, Amneet Pal Singh; Shen, Lian
2
2023
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. Zbl 07660341
Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G.
2
2023
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. Zbl 07662519
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
2
2023
Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement. Zbl 07662520
Du, Shukai; Stechmann, Samuel N.
2
2023
Asymmetric transport computations in Dirac models of topological insulators. Zbl 07690224
Bal, Guillaume; Hoskins, Jeremy G.; Wang, Zhongjian
2
2023
A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms. Zbl 07696975
Bürkner, Paul-Christian; Kröker, Ilja; Oladyshkin, Sergey; Nowak, Wolfgang
2
2023
A combined immersed finite element and conservative semi-Lagrangian scheme for plasma-material interactions. Zbl 1528.76043
Liu, Hongtao; Chen, Mengyu; Cai, Xiaofeng; Cao, Yong; Lapenta, Giovanni
2
2023
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. Zbl 07696996
Chen, Wei; Wu, Kailiang; Xiong, Tao
2
2023
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. Zbl 07742900
Sun, Jingwei; Zhang, Hong; Qian, Xu; Song, Songhe
2
2023
Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. Zbl 07788135
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo
2
2023
PDE-constrained models with neural network terms: optimization and global convergence. Zbl 07679157
Sirignano, Justin; MacArt, Jonathan; Spiliopoulos, Konstantinos
1
2023
A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order. Zbl 07679164
Deng, Xi
1
2023
Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. Zbl 07679169
Schneider, Martin; Gläser, Dennis; Weishaupt, Kilian; Coltman, Edward; Flemisch, Bernd; Helmig, Rainer
1
2023
A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems. Zbl 07679171
Takahashi, Toru
1
2023
Inclusion of an acoustic damper term in weakly-compressible SPH models. Zbl 07679176
Sun, P. N.; Pilloton, C.; Antuono, M.; Colagrossi, A.
1
2023
WeakIdent: weak formulation for identifying differential equation using narrow-fit and trimming. Zbl 07679178
Tang, Mengyi; Liao, Wenjing; Kuske, Rachel; Kang, Sung Ha
1
2023
A pore-level multiscale method for the elastic deformation of fractured porous media. Zbl 07679180
Li, Kangan; Mehmani, Yashar
1
2023
Greedy training algorithms for neural networks and applications to PDEs. Zbl 07679188
Siegel, Jonathan W.; Hong, Qingguo; Jin, Xianlin; Hao, Wenrui; Xu, Jinchao
1
2023
Reduced order modeling for parametrized generalized Newtonian fluid flows. Zbl 07679189
Reyes, R.; Ruz, O.; Bayona-Roa, C.; Castillo, E.; Tello, A.
1
2023
A unified scalable framework for causal sweeping strategies for physics-informed neural networks (PINNs) and their temporal decompositions. Zbl 07748050
Penwarden, Michael; Jagtap, Ameya D.; Zhe, Shandian; Karniadakis, George Em; Kirby, Robert M.
1
2023
Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime. Zbl 07748063
Bernades, Marc; Jofre, Lluís; Capuano, Francesco
1
2023
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Zbl 07748072
Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M.
1
2023
3D model for inertial cavitation bubble dynamics in binary immiscible fluids. Zbl 07766222
Li, Shuai; Zhang, A-Man; Han, Rui
1
2023
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Cited by 73,090 Authors

286 Shu, Chi-Wang
272 Dehghan Takht Fooladi, Mehdi
217 Karniadakis, George Em
182 Simos, Theodore E.
143 Dumbser, Michael
142 Chung, Tsz Shun Eric
140 Liu, Fawang
135 Nordström, Jan
128 Kim, Junseok
127 Shu, Chang
122 Wang, Hong
118 Yang, Xiaofeng
117 Huang, Yunqing
115 Shen, Jie
112 Băleanu, Dumitru I.
112 Xu, Kun
109 Adams, Nikolaus A.
107 Hesthaven, Jan S.
106 Feng, Xinlong
105 Qiu, Jianxian
103 Boyd, John Philip
103 Jin, Shi
102 He, Yinnian
100 Sagaut, Pierre
99 Hughes, Thomas J. R.
99 Turner, Ian William
97 Liu, Wing Kam
97 Quarteroni, Alfio M.
94 Seaïd, Mohammed
93 Zhang, Zhimin
92 Chen, Wen
91 Li, Jichun
91 Rozza, Gianluigi
90 Tezduyar, Tayfun E.
89 Abgrall, Rémi
88 Osher, Stanley Joel
88 Toro, Eleuterio Francisco
87 Wang, Yushun
85 Bazilevs, Yuri
83 Sheu, Tony Wen-Hann
83 Verzicco, Roberto
82 Bao, Weizhu
82 Shashkov, Mikhail J.
81 Codina, Ramon
81 Efendiev, Yalchin R.
81 Kurganov, Alexander
80 Sun, Shuyu
80 Wang, Cheng
79 Khoo, Boo Cheong
79 Rebholz, Leo G.
79 Sherwin, Spencer J.
79 Yuan, Guangwei
78 Farhat, Charbel H.
78 Lin, Guang
78 Oñate Ibáñez de Navarra, Eugenio
77 Du, Qiang
77 Schwab, Christoph
77 Sun, Haiwei
76 Abbaszadeh, Mostafa
74 Wall, Wolfgang A.
73 Majda, Andrew J.
71 Antoine, Xavier
71 Glowinski, Roland
71 Ju, Lili
71 Manzini, Gianmarco
71 Rabczuk, Timon
71 Sun, Zhizhong
71 Vuik, Cornelis
69 Guermond, Jean-Luc
69 Li, Hong
69 Liu, Tiegang
69 Pareschi, Lorenzo
69 Takizawa, Kenji
69 Wheeler, Mary Fanett
68 Gunzburger, Max D.
67 Cockburn, Bernardo
67 Liu, Gui-Rong
67 Löhner, Rainald
67 Ying, Lexing
66 Li, Zhilin
66 Munz, Claus-Dieter
66 Xu, Da
65 Bhrawy, Ali Hassan
65 Hu, Xiangyu Y.
65 Jenny, Patrick
65 Ruiz-Baier, Ricardo
64 Chen, Yanping
64 Doha, Eid H.
64 Lohse, Detlef
64 Tchelepi, Hamdi A.
63 Gassner, Gregor J.
63 Liu, Hailiang
63 Mohanty, Ranjan Kumar
62 Li, Ruo
62 Lowengrub, John Samuel
61 Beirão da Veiga, Lourenço
61 Degond, Pierre
61 Greengard, Leslie F.
61 Kuzmin, Dmitri
61 Zhu, Jun
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119 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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106 Geophysical and Astrophysical Fluid Dynamics
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