## 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.
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### 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
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### 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; optimization (49-XX) 151 Astronomy and astrophysics (85-XX) 113 Special functions (33-XX) 111 Mechanics of particles and systems (70-XX) 109 Approximations and expansions (41-XX) 81 Operations research, mathematical programming (90-XX) 69 Systems theory; control (93-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 54 Relativity and gravitational theory (83-XX) 54 Information and communication theory, circuits (94-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 32 Integral transforms, operational calculus (44-XX) 30 Differential geometry (53-XX) 29 Functions of a complex variable (30-XX) 26 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 20 Difference and functional equations (39-XX) 18 General and overarching topics; collections (00-XX) 17 Combinatorics (05-XX) 17 Real functions (26-XX) 17 Convex and discrete geometry (52-XX) 16 Operator theory (47-XX) 15 History and biography (01-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functional analysis (46-XX) 9 Group theory and generalizations (20-XX) 7 Number theory (11-XX) 6 Measure and integration (28-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 2 Commutative algebra (13-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)

### 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 0659.65132
Osher, Stanley; Sethian, James A.
1988
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
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
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
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
A perfectly matched layer for the absorption of electromagnetic waves. Zbl 0814.65129
Berenger, Jean-Pierre
1994
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
Numerical analysis of blood flow in the heart. Zbl 0403.76100
Peskin, Charles S.
1977
The numerical simulation of two-dimensional fluid flow with strong shocks. Zbl 0573.76057
Woodward, Paul; Colella, Phillip
1984
A continuum method for modeling surface tension. Zbl 0775.76110
Brackbill, J. U.; Kothe, D. B.; Zemach, C.
1992
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II. Zbl 0674.65061
Shu, Chi-Wang; Osher, Stanley
1989
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
1987
High resolution schemes for hyperbolic conservation laws. Zbl 0565.65050
Harten, Ami
1983
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems. Zbl 0920.65059
Cockburn, Bernardo; Shu, Chi-Wang
1998
Application of a fractional-step method to incompressible Navier-Stokes equations. Zbl 0582.76038
Kim, John; Moin, Parviz
1985
Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
Lin, Yumin; Xu, Chuanju
2007
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
1967
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
1999
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Zbl 0387.76063
Sod, Gary A.
1978
Flow patterns around heart valves: A numerical method. Zbl 0244.92002
Peskin, Charles S.
1972
A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
Hou, Thomas Y.; Wu, Xiao-Hui
1997
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
1989
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.
1997
A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
Unverdi, Salih Ozen; Tryggvason, Grétar
1992
Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
Zalesak, Steven T.
1979
An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
Hirt, C. W.; Amsden, A. A.; Cook, J. L.
1974
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2004
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.
2000
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.
2001
Simulating free surface flows with SPH. Zbl 0794.76073
Monaghan, J. J.
1994
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
Poinsot, T. J.; Lele, S. K.
1992
Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
Berger, Marsha J.; Oliger, Joseph
1984
A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
Patera, Anthony T.
1984
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
Berger, M. J.; Colella, P.
1989
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
Balsara, Dinshaw S.; Shu, Chi-Wang
2000
Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
Tam, Christopher K. W.; Webb, Jay C.
1993
Exponential time differencing for stiff systems. Zbl 1005.65069
Cox, S. M.; Matthews, P. C.
2002
Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
Knoll, D. A.; Keyes, D. E.
2004
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
1991
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
Issa, R. I.
1986
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
Bell, John B.; Colella, Phillip; Glaz, Harland M.
1989
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
1984
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
Nessyahu, Haim; Tadmor, Eitan
1990
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun
2008
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
2001
Reconstructing volume tracking. Zbl 0933.76069
Rider, William J.; Kothe, Douglas B.
1998
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
1997
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
Uhlmann, Markus
2005
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
1974
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
2000
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
2000
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
1985
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
Saurel, Richard; Abgrall, Rémi
1999
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
1977
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
Jacqmin, David
1999
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
Hu, Changqing; Shu, Chi-Wang
1999
Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
Boris, Jay P.; Book, David L.
1973
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M.
2005
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
Benzi, Michele
2002
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.
2019
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
1998
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
1999
A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
Tadjeran, Charles; Meerschaert, Mark M.; Scheffler, Hans-Peter
2006
An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
Kim, Jungwoo; Kim, Dongjoo; Choi, Haecheon
2001
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Zbl 0468.76066
Steger, Joseph L.; Warming, R. F.
1981
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
Langlands, T. A. M.; Henry, B. I.
2005
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
1972
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
Alikhanov, Anatoly A.
2015
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
Goldstein, D.; Handler, R.; Sirovich, L.
1993
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.
2001
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
2003
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
2001
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
1991
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
2002
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
2003
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
Morinishi, Y.; Lund, T. S.; Vasilyev, O. V.; Moin, P.
1998
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.
1999
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
1996
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
Shen, Jie; Xu, Jie; Yang, Jiang
2018
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
Cui, Mingrong
2009
Exact non-reflecting boundary conditions. Zbl 0671.65094
Keller, Joseph B.; Givoli, Dan
1989
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
1994
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
Lafaurie, Bruno; Nardone, Carlo; Scardovelli, Ruben; Zaleski, Stéphane; Zanetti, Gianluigi
1994
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
2008
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
Popinet, Stéphane
2009
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
2000
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
1990
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
Plimpton, Steve
1995
Summation by parts for finite difference approximations for $$d/dx$$. Zbl 0792.65011
Strand, Bo
1994
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
Zhang, Xiangxiong; Shu, Chi-Wang
2010
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
2013
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Zbl 0847.76048
Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S.
1996
Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069
Turkel, Eli
1987
A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068
He, Xiaoyi; Chen, Shiyi; Doolen, Gary D.
1998
A multi-resolution SPH method for fluid-structure interactions. Zbl 07500760
Zhang, Chi; Rezavand, Massoud; Hu, Xiangyu
2021
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728
Di Pietro, Daniele A.; Droniou, Jérôme
2021
Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems. Zbl 07500743
Vahab, Mehdi; Sussman, Mark; Shoele, Kourosh
2021
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. Zbl 07501578
Tao, Zhanjing; Jiang, Yan; Cheng, Yingda
2021
Constitutive artificial neural networks: a fast and general approach to predictive data-driven constitutive modeling by deep learning. Zbl 07500745
Linka, Kevin; Hillgärtner, Markus; Abdolazizi, Kian P.; Aydin, Roland C.; Itskov, Mikhail; Cyron, Christian J.
2021
Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations. Zbl 07501579
Parada, Samuel; Codina, Ramon; Baiges, Joan
2021
MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell. Zbl 07501582
Holderied, Florian; Possanner, Stefan; Wang, Xin
2021
Adaptive deformation of 3D unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows. Zbl 07501586
Cirrottola, Luca; Ricchiuto, Mario; Froehly, Algiane; Re, Barbara; Guardone, Alberto; Quaranta, Giuseppe
2021
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 07501589
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
2021
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. Zbl 07501590
Hao, Wenrui; Sun, Pengtao; Xu, Jinchao; Zhang, Lian
2021
A high-order moment limiter for the discontinuous Galerkin method on triangular meshes. Zbl 07501595
Dutt, Krishna; Krivodonova, Lilia
2021
Solving inverse problems using conditional invertible neural networks. Zbl 07501600
Padmanabha, Govinda Anantha; Zabaras, Nicholas
2021
What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em
2020
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184
Lee, Kookjin; Carlberg, Kevin T.
2020
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. Zbl 1440.65116
Liao, Hong-lin; Tang, Tao; Zhou, Tao
2020
Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156
Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin
2020
A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel. Zbl 1437.65237
Gu, Xian-Ming; Wu, Shu-Lin
2020
A composite neural network that learns from multi-fidelity data: application to function approximation and inverse PDE problems. Zbl 1454.76006
Meng, Xuhui; Karniadakis, George Em
2020
Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. Zbl 1453.68165
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
2020
Random batch methods (RBM) for interacting particle systems. Zbl 1453.82065
Jin, Shi; Li, Lei; Liu, Jian-Guo
2020
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2020
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
2020
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135
Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping
2020
Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130
Geneva, Nicholas; Zabaras, Nicholas
2020
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
2020
A weakly compressible SPH method for violent multi-phase flows with high density ratio. Zbl 1453.76170
Rezavand, Massoud; Zhang, Chi; Hu, Xiangyu
2020
An efficient class of WENO schemes with adaptive order for unstructured meshes. Zbl 1453.65208
Balsara, Dinshaw S.; Garain, Sudip; Florinski, Vladimir; Boscheri, Walter
2020
A hybrid Hermite WENO scheme for hyperbolic conservation laws. Zbl 1453.65264
Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian
2020
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. Zbl 1453.65266
Zhu, Jun; Shu, Chi-Wang
2020
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. Zbl 1436.76035
Zahr, M. J.; Shi, A.; Persson, P.-O.
2020
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. Zbl 1453.65437
Cai, Jiaxiang; Shen, Jie
2020
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
2020
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. Zbl 1453.65351
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang
2020
A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. Zbl 1453.65276
Yang, Zhiguo; Dong, Suchuan
2020
Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. Zbl 1435.65156
Discacciati, Niccolò; Hesthaven, Jan S.; Ray, Deep
2020
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. Zbl 1436.65093
Wang, Qian; Ripamonti, Nicolò; Hesthaven, Jan S.
2020
RANS turbulence model development using CFD-driven machine learning. Zbl 1436.76011
Zhao, Yaomin; Akolekar, Harshal D.; Weatheritt, Jack; Michelassi, Vittorio; Sandberg, Richard D.
2020
A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157
Yin, Weishi; Yang, Wenhong; Liu, Hongyu
2020
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072
Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier
2020
Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin
2020
Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model. Zbl 1453.76223
Zhang, Jun; Yang, Xiaofeng
2020
Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation. Zbl 1453.65366
Wang, Tingchun; Wang, Jialing; Guo, Boling
2020
Vertex approximate gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media. Zbl 1435.76042
Brenner, K.; Masson, R.; Quenjel, E. H.
2020
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh. Zbl 1436.76038
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
2020
An immersed finite element method for elliptic interface problems in three dimensions. Zbl 1440.65207
Guo, Ruchi; Lin, Tao
2020
Solving electrical impedance tomography with deep learning. Zbl 1453.65041
Fan, Yuwei; Ying, Lexing
2020
A deep-learning-based surrogate model for data assimilation in dynamic subsurface flow problems. Zbl 1436.76058
Tang, Meng; Liu, Yimin; Durlofsky, Louis J.
2020
Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet. Zbl 1435.76057
Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji
2020
Data driven approximation of parametrized PDEs by reduced basis and neural networks. Zbl 1437.65224
Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca
2020
A mesh-free method for interface problems using the deep learning approach. Zbl 1454.65173
Wang, Zhongjian; Zhang, Zhiwen
2020
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. Zbl 1453.65357
Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara
2020
4D large scale variational data assimilation of a turbulent flow with a dynamics error model. Zbl 1436.76010
Chandramouli, Pranav; Memin, Etienne; Heitz, Dominique
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
2020
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Zbl 1436.76064
Koch, Timo; Schneider, Martin; Helmig, Rainer; Jenny, Patrick
2020
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Fisher information regularization schemes for Wasserstein gradient flows. Zbl 1437.65055
Li, Wuchen; Lu, Jianfeng; Wang, Li
2020
An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media. Zbl 1453.76078
Liu, Chen; Frank, Florian; Thiele, Christopher; Alpak, Faruk O.; Berg, Steffen; Chapman, Walter; Riviere, Beatrice
2020
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations. Zbl 1453.65062
Bai, Zhong-Zhi; Lu, Kang-Ya
2020
Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks. Zbl 1453.65021
Karumuri, Sharmila; Tripathy, Rohit; Bilionis, Ilias; Panchal, Jitesh
2020
A directional ghost-cell immersed boundary method for incompressible flows. Zbl 1453.76123
Chi, Cheng; Abdelsamie, Abouelmagd; Thévenin, Dominique
2020
Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs. Zbl 1453.65280
Dektor, Alec; Venturi, Daniele
2020
A nonlinear moment model for radiative transfer equation in slab geometry. Zbl 1453.65248
Fan, Yuwei; Li, Ruo; Zheng, Lingchao
2020
Dual-criteria time stepping for weakly compressible smoothed particle hydrodynamics. Zbl 1453.76172
Zhang, Chi; Rezavand, Massoud; Hu, Xiangyu
2020
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
2020
Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows. Zbl 1453.76153
Moura, Rodrigo C.; Aman, Mansoor; Peiró, Joaquim; Sherwin, Spencer J.
2020
Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows. Zbl 1453.76131
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2020
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041
Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary
2020
Adjoint-based anisotropic $$hp$$-adaptation for discontinuous Galerkin methods using a continuous mesh model. Zbl 1435.65220
Rangarajan, Ajay; May, Georg; Dolejsi, Vit
2020
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. Zbl 1436.65202
Wu, Bowei; Zhu, Hai; Barnett, Alex; Veerapaneni, Shravan
2020
Local meshless methods for second order elliptic interface problems with sharp corners. Zbl 1437.65208
2020
Regularized ensemble Kalman methods for inverse problems. Zbl 1437.62116
Zhang, Xin-Lei; Michelén-Ströfer, Carlos; Xiao, Heng
2020
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. Zbl 1437.74026
Fu, Shubin; Chung, Eric; Mai, Tina
2020
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033
Zhao, Zhuang; Qiu, Jianxian
2020
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations. Zbl 1440.76094
Boscheri, Walter; Dimarco, Giacomo; Loubère, Raphaël; Tavelli, Maurizio; Vignal, Marie-Hélène
2020
An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries. Zbl 1440.76117
Ma, Jingtao; Wang, Zhen; Young, John; Lai, Joseph C. S.; Sui, Yi; Tian, Fang-Bao
2020
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. Zbl 1440.65135
Fehn, Niklas; Munch, Peter; Wall, Wolfgang A.; Kronbichler, Martin
2020
An immersed interface method for discrete surfaces. Zbl 1453.76075
Kolahdouz, Ebrahim M.; Bhalla, Amneet Pal Singh; Craven, Brent A.; Griffith, Boyce E.
2020
A low dissipation method to cure the grid-aligned shock instability. Zbl 1453.76092
Fleischmann, Nico; Adami, Stefan; Hu, Xiangyu Y.; Adams, Nikolaus A.
2020
Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. Zbl 1453.65438
Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner
2020
A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. Zbl 1453.76063
Cheng, Jian; Zhang, Fan; Liu, Tiegang
2020
A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation. Zbl 1453.65338
Manzanero, Juan; Rubio, Gonzalo; Kopriva, David A.; Ferrer, Esteban; Valero, Eusebio
2020
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. Zbl 1453.65370
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai; Karniadakis, George Em
2020
Deep multiscale model learning. Zbl 1454.76008
Wang, Yating; Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Wang, Min
2020
Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods. Zbl 1436.76016
Ciallella, Mirco; Ricchiuto, Mario; Paciorri, Renato; Bonfiglioli, Aldo
2020
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. Zbl 1435.76038
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E.
2020
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach. Zbl 1435.76059
Gross, B. J.; Trask, N.; Kuberry, P.; Atzberger, P. J.
2020
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds. Zbl 1435.76043
Denner, Fabian; Evrard, Fabien; van Wachem, Berend G. M.
2020
FFT-based high order central difference schemes for three-dimensional Poisson’s equation with various types of boundary conditions. Zbl 1436.65159
Feng, Hongsong; Zhao, Shan
2020
A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2020
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. Zbl 1437.76041
Liu, Chun; Wang, Yiwei
2020
On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Zbl 1437.65109
Muñoz-Pérez, Luis F.; Macías-Díaz, J. E.
2020
Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Zbl 1437.74021
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
2020
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows. Zbl 1440.76139
Xiao, Tianbai; Liu, Chang; Xu, Kun; Cai, Qingdong
2020
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
2020
A weighted meshfree collocation method for incompressible flows using radial basis functions. Zbl 1453.65364
Wang, Lihua; Qian, Zhihao; Zhou, Yueting; Peng, Yongbo
2020
Entropic quadrature for moment approximations of the Boltzmann-BGK equation. Zbl 1453.76061
Böhmer, Niclas; Torrilhon, Manuel
2020
A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. Zbl 1453.86025
Lee, D.; Palha, A.
2020
A face-area-weighted ‘centroid’ formula for finite-volume method that improves skewness and convergence on triangular grids. Zbl 1453.65258
Nishikawa, Hiroaki
2020
A 3D conservative sharp interface method for simulation of compressible two-phase flows. Zbl 1453.76111
Shen, Yi; Ren, Yi; Ding, Hang
2020
Second-order semi-implicit projection methods for micromagnetics simulations. Zbl 1453.82093
Xie, Changjian; García-Cervera, Carlos J.; Wang, Cheng; Zhou, Zhennan; Chen, Jingrun
2020
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### 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
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 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. B. Fluids 465 Mathematics and Computers in Simulation 446 SIAM Journal on Numerical Analysis 443 Physica D 440 Computer Physics Communications 436 Numerical Algorithms 383 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 371 Numerical Methods for Partial Differential Equations 368 Computational Geosciences 343 Applied Mathematics Letters 339 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 317 Advances in Computational Mathematics 311 Mathematical Problems in Engineering 306 Journal of Mathematical Analysis and Applications 295 Communications in Nonlinear Science and Numerical Simulation 281 Wave Motion 272 International Journal of Heat and Mass Transfer 271 Computational and Applied Mathematics 267 International Journal of Numerical Methods for Heat & Fluid Flow 263 International Journal of Computational Methods 261 Combustion Theory and Modelling 252 Advances in Applied Mathematics and Mechanics 246 BIT 243 Journal of Engineering Mathematics 236 Communications in Numerical Methods in Engineering 235 Multiscale Modeling & Simulation 227 Acta Mechanica 207 Journal of Mathematical Physics 204 Journal of Statistical Physics 203 Mathematical and Computer Modelling 200 Journal of Mathematical Chemistry 198 Advances in Difference Equations 184 Chaos, Solitons and Fractals 171 Mathematical Methods in the Applied Sciences 169 SIAM/ASA Journal on Uncertainty Quantification 166 Applied Mathematics and Mechanics. (English Edition) 159 Flow, Turbulence and Combustion 158 Computational Mathematics and Mathematical Physics 158 Inverse Problems in Science and Engineering 153 SIAM Journal on Applied Mathematics 150 Theoretical and Computational Fluid Dynamics 150 Acta Mechanica Sinica 147 Comptes Rendus. Mathématique. Académie des Sciences, Paris 141 Journal of Differential Equations 138 Inverse Problems 131 Abstract and Applied Analysis 129 International Journal of Modern Physics C 128 Fluid Dynamics 123 Applicable Analysis 123 Numerical Linear Algebra with Applications 119 Transport Theory and Statistical Physics 119 Chaos 119 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 115 Archives of Computational Methods in Engineering 112 Calcolo 110 ZAMP. Zeitschrift für angewandte Mathematik und Physik 109 Linear Algebra and its Applications 105 Physics of Fluids, A 105 Nonlinear Dynamics 105 Matematicheskoe Modelirovanie 104 Fractional Calculus & Applied Analysis 102 Discrete and Continuous Dynamical Systems. Series B 102 East Asian Journal on Applied Mathematics 101 Bulletin of Mathematical Biology 101 Journal of Theoretical Biology 98 SIAM Journal on Mathematical Analysis 98 Journal of Applied Mathematics 98 Journal of Computational Acoustics 98 International Journal of Applied and Computational Mathematics 97 Journal of Turbulence 96 Physica A 94 Journal of Nonlinear Science 93 Japan Journal of Industrial and Applied Mathematics 91 Archive for Rational Mechanics and Analysis 91 Journal of Mathematical Biology 89 International Journal of Engineering Science 89 European Journal of Operational Research 87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 87 Computational Methods in Applied Mathematics ...and 884 more Journals
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