## 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: 15,544 Publications (since 1966) References Indexed: 14,532 Publications with 514,454 References.
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### Authors

 106 Shu, Chi-Wang 98 Karniadakis, George Em 69 Nordström, Jan 65 Xu, Kun 58 Osher, Stanley Joel 57 Adams, Nikolaus A. 52 Shashkov, Mikhail J. 46 Colella, Phillip 44 Dumbser, Michael 43 Chacón, Luis 43 Gibou, Frédéric 42 Jenny, Patrick 41 Balsara, Dinshaw S. 41 Zabaras, Nicholas J. 39 Boyd, John Philip 38 Hesthaven, Jan S. 38 Sagaut, Pierre 36 Lin, Guang 36 Moin, Parviz 36 Xiao, Feng 35 Greengard, Leslie F. 35 Toro, Eleuterio F. 35 Turkel, Eli L. 34 Knoll, Dana A. 34 Shen, Jie 33 Qiu, Jianxian 32 Chung, Tsz Shun Eric 32 Tchelepi, Hamdi A. 31 Efendiev, Yalchin R. 31 Fedkiw, Ronald P. 31 Nishikawa, Hiroaki 30 Jin, Shi 30 Xiu, Dongbin 29 Abgrall, Rémi 29 Cai, Wei 29 Koumoutsakos, Petros D. 29 Lowengrub, John Samuel 29 Tang, Huazhong 28 Carpenter, Mark H. 28 Degond, Pierre 28 Morel, Jim E. 28 Shu, Chang 28 Smolarkiewicz, Piotr K. 27 Henshaw, William D. 27 Ying, Lexing 26 Brackbill, Jeremiah U. 26 Hou, Thomas Yizhao 26 Lai, Mingchih 26 Loubère, Raphaël 26 Peskin, Charles S. 25 Antoine, Xavier 25 Banks, Jeffrey W. 25 Bao, Weizhu 25 Khoo, Boo Cheong 25 Sethian, James A. 25 Shadid, John N. 24 Christlieb, Andrew J. 24 Gottlieb, David I. 24 Luo, Hong 24 Luo, Lishi 24 Shyy, Wei 24 Tartakovsky, Daniel M. 24 Yee, Helen C. 23 Kuzmin, Dmitri 23 Lipnikov, Konstantin N. 23 Majda, Andrew J. 22 E, Weinan 22 Fornberg, Bengt 22 Gassner, Gregor J. 22 Giraldo, Francis X. 22 Huang, Weizhang 22 Koren, Barry 22 Mattsson, Ken 22 Pope, Stephen Bailey 22 Qiu, Jingmei 22 Sherwin, Spencer J. 22 Wang, Hong 21 Bell, John B. 21 Cockburn, Bernardo 21 Farhat, Charbel H. 21 Hajibeygi, Hadi 21 Iaccarino, Gianluca 21 Iollo, Angelo 21 Munz, Claus-Dieter 21 Schwendeman, Donald William 21 Vasilyev, Oleg V. 20 Bruno, Oscar P. 20 Colonius, Tim 20 Larsen, Edward W. 20 Liu, Chun 20 Liu, Hailiang 20 Merriman, Barry 20 Tornberg, Anna-Karin 20 Yang, Xiaofeng 20 Zhao, Hongkai 19 Engquist, Bjorn E. 19 Min, Chohong 19 Monaghan, Joseph J. 19 Najm, Habib N. 19 Nguyen, Ngoc Cuong ...and 18,517 more Authors
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### Fields

 9,641 Numerical analysis (65-XX) 8,320 Fluid mechanics (76-XX) 3,601 Partial differential equations (35-XX) 1,361 Statistical mechanics, structure of matter (82-XX) 1,012 Optics, electromagnetic theory (78-XX) 907 Mechanics of deformable solids (74-XX) 589 Geophysics (86-XX) 538 Classical thermodynamics, heat transfer (80-XX) 487 Quantum theory (81-XX) 463 Biology and other natural sciences (92-XX) 340 Ordinary differential equations (34-XX) 321 Computer science (68-XX) 317 Probability theory and stochastic processes (60-XX) 254 Integral equations (45-XX) 250 Statistics (62-XX) 173 Dynamical systems and ergodic theory (37-XX) 163 Calculus of variations and optimal control; optimization (49-XX) 152 Astronomy and astrophysics (85-XX) 116 Approximations and expansions (41-XX) 114 Special functions (33-XX) 114 Mechanics of particles and systems (70-XX) 87 Operations research, mathematical programming (90-XX) 71 Systems theory; control (93-XX) 62 Harmonic analysis on Euclidean spaces (42-XX) 55 Relativity and gravitational theory (83-XX) 54 Information and communication theory, circuits (94-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 32 Integral transforms, operational calculus (44-XX) 31 Functions of a complex variable (30-XX) 30 Differential geometry (53-XX) 27 Global analysis, analysis on manifolds (58-XX) 22 Potential theory (31-XX) 21 General and overarching topics; collections (00-XX) 20 Real functions (26-XX) 20 Difference and functional equations (39-XX) 18 Combinatorics (05-XX) 18 Convex and discrete geometry (52-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Operator theory (47-XX) 15 History and biography (01-XX) 11 Functional analysis (46-XX) 9 Group theory and generalizations (20-XX) 8 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)

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Finite difference/spectral approximations for the time-fractional diffusion equation. Zbl 1126.65121
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A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
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A multiscale finite element method for elliptic problems in composite materials and porous media. Zbl 0880.73065
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A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Zbl 0871.76040
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A front-tracking method for viscous, incompressible multi-fluid flows. Zbl 0758.76047
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Fully multidimensional flux-corrected transport algorithms for fluids. Zbl 0416.76002
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An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Zbl 0292.76018
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Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
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Simulating free surface flows with SPH. Zbl 0794.76073
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A front-tracking method for the computations of multiphase flow. Zbl 1047.76574
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2001
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Zbl 0972.76073
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2000
Boundary conditions for direct simulations of compressible viscous flows. Zbl 0766.76084
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Adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0536.65071
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A spectral element method for fluid dynamics: Laminar flow in a channel expansion. Zbl 0535.76035
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1984
Local adaptive mesh refinement for shock hydrodynamics. Zbl 0665.76070
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Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. Zbl 0961.65078
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2000
Exponential time differencing for stiff systems. Zbl 1005.65069
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Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045
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Dispersion-relation-preserving finite differene schemes for computational acoustics. Zbl 0790.76057
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High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
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1991
Solution of the implicitly discretized fluid flow equations by operator- splitting. Zbl 0619.76024
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1986
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. Zbl 1136.65076
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2008
A second-order projection method for the incompressible Navier-Stokes equations. Zbl 0681.76030
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1989
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
1990
The piecewise parabolic method (PPM) for gas-dynamical simulations. Zbl 0531.76082
Colella, Phillip; Woodward, Paul R.
1984
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
Level set methods: An overview and some recent results. Zbl 0988.65093
Osher, Stanley; Fedkiw, Ronald P.
2001
Reconstructing volume tracking. Zbl 0933.76069
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1998
Modeling low Reynolds number incompressible flows using SPH. Zbl 0889.76066
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1997
An immersed boundary method with direct forcing for the simulation of particulate flows. Zbl 1138.76398
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2005
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
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1974
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
2000
Weighted essentially non-oscillatory schemes on triangular meshes. Zbl 0926.65090
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1999
A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. Zbl 0977.76071
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2000
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
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1985
Calculation of two-phase Navier-Stokes flows using phase-field modeling. Zbl 0966.76060
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1999
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
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1977
A multiphase Godunov method for compressible multifluid and multiphase flows. Zbl 0937.76053
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1999
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Zbl 1072.65114
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Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works. Zbl 0251.76004
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1973
A new difference scheme for the time fractional diffusion equation. Zbl 1349.65261
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An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
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2000
Preconditioning techniques for large linear systems: A survey. Zbl 1015.65018
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2002
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
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1998
The accuracy and stability of an implicit solution method for the fractional diffusion equation. Zbl 1072.65123
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An immersed-boundary finite volume method for simulations of flow in complex geometries. Zbl 1057.76039
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2001
A PDE-based fast local level set method. Zbl 0964.76069
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A second-order accurate numerical approximation for the fractional diffusion equation. Zbl 1089.65089
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2006
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
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1972
The scalar auxiliary variable (SAV) approach for gradient flows. Zbl 1380.65181
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2018
Modeling a no-slip flow boundary with an external force field. Zbl 0768.76049
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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
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2001
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
2003
On Godunov-type methods near low densities. Zbl 0709.76102
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Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
2001
Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Zbl 1028.76039
Colagrossi, Andrea; Landrini, Maurizio
2003
A hybrid particle level set method for improved interface capturing. Zbl 1021.76044
Enright, Douglas; Fedkiw, Ronald; Ferziger, Joel; Mitchell, Ian
2002
Fully conservative higher order finite difference schemes for incompressible flow. Zbl 0932.76054
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1998
How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach. Zbl 0847.76060
Abgrall, Rémi
1996
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. Zbl 0957.76043
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1999
Fast parallel algorithms for short-range molecular dynamics. Zbl 0830.65120
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1995
Compact finite difference method for the fractional diffusion equation. Zbl 1179.65107
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2009
An accurate adaptive solver for surface-tension-driven interfacial flows. Zbl 1280.76020
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2009
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes. Zbl 0832.65098
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1994
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. Zbl 1282.76128
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2010
Exact non-reflecting boundary conditions. Zbl 0671.65094
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1989
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
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2013
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
Modelling merging and fragmentation in multiphase flows with SURFER. Zbl 0809.76064
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1994
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
2000
Summation by parts for finite difference approximations for $$d/dx$$. Zbl 0792.65011
Strand, Bo
1994
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
1990
On maximum-principle-satisfying high order schemes for scalar conservation laws. Zbl 1187.65096
Zhang, Xiangxiong; Shu, Chi-Wang
2010
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
2000
Preconditioned methods for solving the incompressible and low speed compressible equations. Zbl 0633.76069
Turkel, Eli
1987
When and why PINNs fail to train: a neural tangent kernel perspective. Zbl 07524768
Wang, Sifan; Yu, Xinling; Perdikaris, Paris
2022
Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models. Zbl 07518050
Fu, Zhaohui; Yang, Jiang
2022
Thermodynamically consistent physics-informed neural networks for hyperbolic systems. Zbl 07524762
Patel, Ravi G.; Manickam, Indu; Trask, Nathaniel A.; Wood, Mitchell A.; Lee, Myoungkyu; Tomas, Ignacio; Cyr, Eric C.
2022
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. Zbl 07518095
Jiang, Maosheng; Zhang, Zengyan; Zhao, Jia
2022
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization. Zbl 07517718
Abgrall, Rémi; Öffner, Philipp; Ranocha, Hendrik
2022
Adaptive deep density approximation for Fokker-Planck equations. Zbl 07523824
Tang, Kejun; Wan, Xiaoliang; Liao, Qifeng
2022
A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. Zbl 07523826
Regazzoni, F.; Salvador, M.; Africa, P. C.; Fedele, M.; Dedè, L.; Quarteroni, A.
2022
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems – second-order extension. Zbl 07525142
Pimentel-García, Ernesto; Castro, Manuel J.; Chalons, Christophe; Morales de Luna, Tomás; Parés, Carlos
2022
Normalizing field flows: solving forward and inverse stochastic differential equations using physics-informed flow models. Zbl 07525177
Guo, Ling; Wu, Hao; Zhou, Tao
2022
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation. Zbl 07527714
Li, Dong; Quan, Chaoyu; Xu, Jiao
2022
Self-adjusting steepness-based schemes that preserve discontinuous structures in compressible flows. Zbl 07536768
He, Zhiwei; Ruan, Yucang; Yu, Yaqun; Tian, Baolin; Xiao, Feng
2022
A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws. Zbl 07516808
Don, Wai Sun; Li, Run; Wang, Bao-Shan; Wang, Yinghua
2022
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations. Zbl 07516828
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2022
A class of high-order finite difference schemes with minimized dispersion and adaptive dissipation for solving compressible flows. Zbl 07516838
Li, Yanhui; Chen, Congwei; Ren, Yu-Xin
2022
A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws. Zbl 07517730
Takagi, Shinichi; Fu, Lin; Wakimura, Hiro; Xiao, Feng
2022
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach. Zbl 07517738
Yang, Junxiang; Tan, Zhijun; Kim, Junseok
2022
Energy stable wall modeling for the Navier-Stokes equations. Zbl 07523809
Laurén, Fredrik; Nordström, Jan
2022
Consistent and symmetry preserving data-driven interface reconstruction for the level-set method. Zbl 07523811
Buhendwa, Aaron B.; Bezgin, Deniz A.; Adams, Nikolaus A.
2022
A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-curtiss-based constitutive model of rarefied and microscale gas flows. Zbl 07523813
Singh, S.; Karchani, A.; Chourushi, T.; Myong, R. S.
2022
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. Zbl 07523814
Lin, Shuning; Chen, Yong
2022
Learning functional priors and posteriors from data and physics. Zbl 07523820
Meng, Xuhui; Yang, Liu; Mao, Zhiping; del Águila Ferrandis, José; Karniadakis, George Em
2022
An optimization method for chaotic turbulent flow. Zbl 07523822
Chung, Seung Whan; Freund, Jonathan B.
2022
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows. Zbl 07524769
Liu, Chen; Ray, Deep; Thiele, Christopher; Lin, Lu; Riviere, Beatrice
2022
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients. Zbl 07524790
Pan, Kejia; Wu, Xiaoxin; Hu, Hongling; Yu, Yunlong; Li, Zhilin
2022
A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. Zbl 07524791
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M.
2022
Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations. Zbl 07524795
Wang, Shufen; Zhou, Simin; Shi, Shuxun; Chen, Wenbin
2022
Analysis of finite-volume discrete adjoint fields for two-dimensional compressible Euler flows. Zbl 07524802
Peter, Jacques; Renac, Florent; Labbé, Clément
2022
A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations. Zbl 07524803
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun
2022
Local time stepping for the shallow water equations in MPAS. Zbl 07524807
Capodaglio, Giacomo; Petersen, Mark
2022
A conservative and consistent implicit Cartesian cut-cell method for moving geometries with reduced spurious pressure oscillations. Zbl 07525122
Xie, Zhihua; Lin, Pengzhi; Stoesser, Thorsten
2022
Geometrical discretisations for unfitted finite elements on explicit boundary representations. Zbl 07525153
Badia, Santiago; Martorell, Pere A.; Verdugo, Francesc
2022
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations. Zbl 07525157
Huang, Fukeng; Shen, Jie; Wu, Ke
2022
Projective and telescopic projective integration for non-linear kinetic mixtures. Zbl 07527711
Bailo, Rafael; Rey, Thomas
2022
Nonlinearly stable flux reconstruction high-order methods in split form. Zbl 07527721
Cicchino, Alexander; Nadarajah, Siva; Del Rey Fernández, David C.
2022
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics. Zbl 07527723
Wu, Ke; Huang, Fukeng; Shen, Jie
2022
Accelerated Calderón preconditioning for Maxwell transmission problems. Zbl 07527725
Kleanthous, Antigoni; Betcke, Timo; Hewett, David P.; Escapil-Inchauspé, Paul; Jerez-Hanckes, Carlos; Baran, Anthony J.
2022
Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases. Zbl 07527732
Daniel, Thomas; Casenave, Fabien; Akkari, Nissrine; Ketata, Ali; Ryckelynck, David
2022
Meta-learning PINN loss functions. Zbl 07527733
Psaros, Apostolos F.; Kawaguchi, Kenji; Karniadakis, George Em
2022
A-PINN: auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations. Zbl 07536740
Yuan, Lei; Ni, Yi-Qing; Deng, Xiang-Yun; Hao, Shuo
2022
Wasserstein generative adversarial uncertainty quantification in physics-informed neural networks. Zbl 07536770
Gao, Yihang; Ng, Michael K.
2022
A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures. Zbl 07536775
Franceschini, Andrea; Gazzola, Laura; Ferronato, Massimiliano
2022
On computing the hyperparameter of extreme learning machines: algorithm and application to computational PDEs, and comparison with classical and high-order finite elements. Zbl 07536780
Dong, Suchuan; Yang, Jielin
2022
A hybrid inference system for improved curvature estimation in the level-set method using machine learning. Zbl 07536781
Larios-Cárdenas, Luis Ángel; Gibou, Frédéric
2022
High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations. Zbl 07536794
Xiong, Tao; Sun, Wenjun; Shi, Yi; Song, Peng
2022
A kinetic energy-and entropy-preserving scheme for compressible two-phase flows. Zbl 07540354
Jain, Suhas S.; Moin, Parviz
2022
A generalized SAV approach with relaxation for dissipative systems. Zbl 07540356
Zhang, Yanrong; Shen, Jie
2022
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems. Zbl 07540357
Kontolati, Katiana; Loukrezis, Dimitrios; Giovanis, Dimitrios G.; Vandanapu, Lohit; Shields, Michael D.
2022
On the performance of relaxation and adaptive explicit Runge-Kutta schemes for high-order compressible flow simulations. Zbl 07540366
Jahdali, Rasha Al; Dalcin, Lisandro; Parsani, Matteo
2022
Modified wavenumber and aliasing errors of split convective forms for compressible flows. Zbl 07540369
Kuya, Yuichi; Kawai, Soshi
2022
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions. Zbl 07540373
Wang, Siwen; Shao, Yuanzhen; Alexov, Emil; Zhao, Shan
2022
Numerical simulation of interaction between multiphase flows and thin flexible structures. Zbl 07516788
He, Sida; Yang, Zixuan; Sotiropoulos, Fotis; Shen, Lian
2022
Geometrical level set reinitialization using closest point method and kink detection for thin filaments, topology changes and two-phase flows. Zbl 07516794
Henri, Félix; Coquerelle, Mathieu; Lubin, Pierre
2022
An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. Zbl 07516795
Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C.
2022
Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media. Zbl 07516799
Gläser, Dennis; Schneider, Martin; Flemisch, Bernd; Helmig, Rainer
2022
$$S$$-frame discrepancy correction models for data-informed Reynolds stress closure. Zbl 07516801
Peters, Eric L.; Balin, Riccardo; Jansen, Kenneth E.; Doostan, Alireza; Evans, John A.
2022
Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802
Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic
2022
Handling Neumann and Robin boundary conditions in a fictitious domain volume penalization framework. Zbl 07516810
Thirumalaisamy, Ramakrishnan; Patankar, Neelesh A.; Bhalla, Amneet Pal Singh
2022
Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. Zbl 07516811
Guo, Zhenlin; Cheng, Qing; Lin, Ping; Liu, Chun; Lowengrub, John
2022
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes. Zbl 07516813
Miao, Shuai; Wu, Jiming
2022
High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows. Zbl 07516822
Cao, Guiyu; Pan, Liang; Xu, Kun
2022
Development of numerical methods to simulate the melting of a thermal protection system. Zbl 07516829
Peluchon, S.; Gallice, G.; Mieussens, L.
2022
Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation. (Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear schrodinger equation.) Zbl 07516836
Medvedev, Sergey; Chekhovskoy, Igor; Vaseva, Irina; Fedoruk, Mikhail
2022
A unified formulation of splitting-based implicit time integration schemes. Zbl 07516837
González-Pinto, Severiano; Hernández-Abreu, Domingo; Pérez-Rodríguez, Maria S.; Sarshar, Arash; Roberts, Steven; Sandu, Adrian
2022
Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains. Zbl 07517098
Jaiswal, Shashank
2022
Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation). Zbl 07517101
2022
Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC). Zbl 07517102
Poëtte, Gaël
2022
A phase inversion benchmark for multiscale multiphase flows. Zbl 07517104
Estivalezes, J.-L.; Aniszewski, W.; Auguste, F.; Ling, Y.; Osmar, L.; Caltagirone, J.-P.; Chirco, L.; Pedrono, A.; Popinet, S.; Berlemont, A.; Magnaudet, J.; Ménard, T.; Vincent, S.; Zaleski, S.
2022
Meshless symplectic and multi-symplectic local RBF collocation methods for nonlinear Schrödinger equation. Zbl 07517108
Zhang, Shengliang
2022
A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems. Zbl 07517110
Mei, Lijie; Huang, Li; Wu, Xinyuan
2022
A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals. Zbl 07517112
Tlupova, Svetlana
2022
A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and $$\operatorname{div} B = 0$$. Zbl 07517115
Gawlik, Evan S.; Gay-Balmaz, François
2022
Hydrodynamic limits and numerical errors of isothermal lattice Boltzmann schemes. Zbl 07517117
Wissocq, Gauthier; Sagaut, Pierre
2022
An asymptotic preserving method for the linear transport equation on general meshes. Zbl 07517118
Anguill, Pierre; Cargo, Patricia; Énaux, Cedric; Hoch, Philippe; Labourasse, Emmanuel; Samba, Gerald
2022
A machine learning strategy for computing interface curvature in front-tracking methods. Zbl 07517119
França, Hugo L.; Oishi, Cassio M.
2022
The mixed deep energy method for resolving concentration features in finite strain hyperelasticity. Zbl 07517152
Fuhg, Jan N.; Bouklas, Nikolaos
2022
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. Zbl 07517153
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek
2022
Multifidelity modeling for physics-informed neural networks (PINNs). Zbl 07517154
Penwarden, Michael; Zhe, Shandian; Narayan, Akil; Kirby, Robert M.
2022
An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media. Zbl 07517158
Kou, Jisheng; Wang, Xiuhua; Du, Shigui; Sun, Shuyu
2022
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation. Zbl 07517174
Freno, Brian A.; Matula, Neil R.; Owen, Justin I.; Johnson, William A.
2022
Elimination of ringing artifacts by finite-element projection in FFT-based homogenization. Zbl 07517709
Leute, Richard J.; Ladecký, Martin; Falsafi, Ali; Jödicke, Indre; Pultarová, Ivana; Zeman, Jan; Junge, Till; Pastewka, Lars
2022
Physics constrained learning for data-driven inverse modeling from sparse observations. Zbl 07517712
Xu, Kailai; Darve, Eric
2022
A shock-stable HLLEM scheme with improved contact resolving capability for compressible Euler flows. Zbl 07517717
Hu, Lijun; Yuan, Haizhuan; Zhao, Kunlei
2022
Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. Zbl 07517731
Antonietti, P. F.; Manuzzi, E.
2022
Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. Zbl 07517732
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil
2022
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. Zbl 07517745
Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T.
2022
Atomic cluster expansion: completeness, efficiency and stability. Zbl 07518052
Dusson, Geneviève; Bachmayr, Markus; Csányi, Gábor; Drautz, Ralf; Etter, Simon; van der Oord, Cas; Ortner, Christoph
2022
A new efficient approximation scheme for solving high-dimensional semilinear PDEs: control variate method for deep BSDE solver. Zbl 07518053
Takahashi, Akihiko; Tsuchida, Yoshifumi; Yamada, Toshihiro
2022
Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities. Zbl 07518057
Gao, Yali; Han, Daozhi; He, Xiaoming; Rüde, Ulrich
2022
Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. Zbl 07518061
Li, Dong; Quan, Chaoyu; Xu, Jiao
2022
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. Zbl 07518071
DeCaria, Victor; Gottlieb, Sigal; Grant, Zachary J.; Layton, William J.
2022
Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? Zbl 07518085
Nordström, Jan
2022
Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs. Zbl 07518096
Trask, Nathaniel; Huang, Andy; Hu, Xiaozhe
2022
Physics-informed neural networks for the shallow-water equations on the sphere. Zbl 07518102
Bihlo, Alex; Popovych, Roman O.
2022
High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics. Zbl 07518113
Duan, Junming; Tang, Huazhong
2022
An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems. Zbl 07561048
Fan, Yiming; Tian, Xiaochuan; Yang, Xiu; Li, Xingjie; Webster, Clayton; Yu, Yue
2022
A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes. Zbl 07561075
Chen, Yaping; Wu, Kailiang
2022
Conservative remapping of material-dependent fields between possibly misaligned material regions. Zbl 07561078
Rakotoarivelo, Hoby; Garimella, Rao; Herring, Angela; Shashkov, Mikhail; Shevitz, Daniel; Kikinzon, Evgeny; Velechovsky, Jan; Lipnikov, Konstantin; Ray, Navamita
2022
Physics-informed neural networks for inverse problems in supersonic flows. Zbl 07561079
2022
Conservative integrators for many-body problems. Zbl 07561092
Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe
2022
A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations. Zbl 07568559
Chen, Guoxian; Noelle, Sebastian
2022
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### Cited by 63,179 Authors

 259 Shu, Chi-Wang 243 Dehghan Takht Fooladi, Mehdi 183 Karniadakis, George Em 174 Simos, Theodore E. 126 Chung, Tsz Shun Eric 122 Liu, Fawang 120 Dumbser, Michael 114 Nordström, Jan 105 Shen, Jie 104 Wang, Hong 103 Băleanu, Dumitru I. 102 Shu, Chang 101 Xu, Kun 100 Boyd, John Philip 97 Kim, Junseok 95 Sagaut, Pierre 94 Hesthaven, Jan S. 93 He, Yinnian 93 Huang, Yunqing 93 Yang, Xiaofeng 92 Hughes, Thomas J. R. 92 Qiu, Jianxian 89 Adams, Nikolaus A. 88 Liu, Wing Kam 87 Jin, Shi 85 Turner, Ian William 85 Verzicco, Roberto 84 Quarteroni, Alfio M. 84 Tezduyar, Tayfun E. 81 Seaïd, Mohammed 81 Shashkov, Mikhail J. 81 Sheu, Tony Wen-Hann 80 Bazilevs, Yuri 79 Feng, Xinlong 79 Khoo, Boo Cheong 78 Toro, Eleuterio F. 77 Codina, Ramon 77 Li, Jichun 77 Osher, Stanley Joel 75 Sherwin, Spencer J. 74 Bao, Weizhu 73 Wang, Cheng 72 Efendiev, Yalchin R. 72 Majda, Andrew J. 72 Oñate Ibáñez de Navarra, Eugenio 70 Abgrall, Rémi 70 Du, Qiang 70 Rebholz, Leo G. 69 Glowinski, Roland 69 Lin, Guang 69 Zhang, Zhimin 68 Farhat, Charbel H. 67 Wang, Yushun 66 Abbaszadeh, Mostafa 66 Sun, Shuyu 65 Rozza, Gianluigi 64 Schwab, Christoph 64 Sun, Zhizhong 64 Yuan, Guangwei 63 Antoine, Xavier 63 Bhrawy, Ali Hassan 63 Cockburn, Bernardo 63 Liu, Gui-Rong 63 Manzini, Gianmarco 63 Takizawa, Kenji 63 Wall, Wolfgang A. 61 Chen, Wen 61 Kurganov, Alexander 61 Li, Zhilin 61 Lohse, Detlef 60 Liu, Tiegang 60 Macías-Díaz, Jorge Eduardo 60 Mohanty, Ranjan Kumar 60 Sun, Haiwei 60 Vuik, Cornelis 60 Wheeler, Mary Fanett 60 Ying, Lexing 59 Lowengrub, John Samuel 58 Doha, Eid H. 58 Guermond, Jean-Luc 58 Löhner, Rainald 57 Degond, Pierre 57 Gunzburger, Max D. 56 Hou, Thomas Yizhao 56 Liu, Hailiang 55 Greengard, Leslie F. 55 Jenny, Patrick 55 Kuzmin, Dmitri 55 Pareschi, Lorenzo 55 Rabczuk, Timon 55 Shyy, Wei 55 Tchelepi, Hamdi A. 54 Bürger, Raimund 54 Ju, Lili 54 Moin, Parviz 54 Munz, Claus-Dieter 54 Oden, John Tinsley 54 Shi, Baochang 54 Zhang, Jun 54 Zhang, Luming ...and 63,079 more Authors
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 10,379 Journal of Computational Physics 3,819 Computer Methods in Applied Mechanics and Engineering 3,708 Computers and Fluids 3,697 Journal of Fluid Mechanics 2,160 Journal of Computational and Applied Mathematics 2,038 Journal of Scientific Computing 1,937 Computers & Mathematics with Applications 1,753 Applied Mathematics and Computation 1,428 Applied Numerical Mathematics 1,375 Physics of Fluids 1,151 SIAM Journal on Scientific Computing 1,045 International Journal for Numerical Methods in Fluids 1,033 Engineering Analysis with Boundary Elements 887 Applied Mathematical Modelling 882 International Journal for Numerical Methods in Engineering 712 Computational Mechanics 595 Mathematics of Computation 571 Numerische Mathematik 542 International Journal of Computer Mathematics 529 Communications in Computational Physics 522 International Journal of Computational Fluid Dynamics 515 European Journal of Mechanics. B. Fluids 497 Mathematics and Computers in Simulation 485 SIAM Journal on Numerical Analysis 455 Numerical Algorithms 454 Physica D 440 Computer Physics Communications 388 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 376 Computational Geosciences 371 Numerical Methods for Partial Differential Equations 361 Applied Mathematics Letters 342 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 334 Advances in Computational Mathematics 316 Journal of Mathematical Analysis and Applications 312 Communications in Nonlinear Science and Numerical Simulation 311 Mathematical Problems in Engineering 291 Computational and Applied Mathematics 286 Wave Motion 273 International Journal of Computational Methods 272 International Journal of Heat and Mass Transfer 270 Combustion Theory and Modelling 267 International Journal of Numerical Methods for Heat & Fluid Flow 264 Advances in Applied Mathematics and Mechanics 251 BIT 251 Multiscale Modeling & Simulation 246 Journal of Engineering Mathematics 244 Advances in Difference Equations 236 Acta Mechanica 236 Communications in Numerical Methods in Engineering 211 Journal of Mathematical Chemistry 207 Journal of Mathematical Physics 207 Chaos, Solitons and Fractals 205 Journal of Statistical Physics 203 Mathematical and Computer Modelling 175 Physica A 174 Computational Mathematics and Mathematical Physics 174 SIAM/ASA Journal on Uncertainty Quantification 171 Mathematical Methods in the Applied Sciences 166 SIAM Journal on Applied Mathematics 165 Applied Mathematics and Mechanics. (English Edition) 159 Flow, Turbulence and Combustion 158 Inverse Problems in Science and Engineering 150 Theoretical and Computational Fluid Dynamics 149 Comptes Rendus. Mathématique. Académie des Sciences, Paris 149 Acta Mechanica Sinica 143 Journal of Differential Equations 139 Applicable Analysis 138 Inverse Problems 131 Fluid Dynamics 131 Abstract and Applied Analysis 129 International Journal of Modern Physics C 125 International Journal of Applied and Computational Mathematics 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 115 Archives of Computational Methods in Engineering 114 Calcolo 111 Matematicheskoe Modelirovanie 109 Linear Algebra and its Applications 108 Discrete and Continuous Dynamical Systems. Series B 107 Bulletin of Mathematical Biology 107 East Asian Journal on Applied Mathematics 105 Physics of Fluids, A 105 Nonlinear Dynamics 104 Fractional Calculus & Applied Analysis 104 Journal of Theoretical Biology 103 Journal of Nonlinear Science 99 SIAM Journal on Mathematical Analysis 98 Journal of Applied Mathematics 98 Journal of Computational Acoustics 97 Journal of Turbulence 97 Advances in Mathematical Physics 93 Archive for Rational Mechanics and Analysis 93 Japan Journal of Industrial and Applied Mathematics 93 Computational Methods in Applied Mathematics 91 International Journal of Engineering Science 91 Journal of Mathematical Biology 91 European Journal of Operational Research ...and 907 more Journals
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### Cited in 62 Fields

 35,430 Numerical analysis (65-XX) 32,580 Fluid mechanics (76-XX) 18,519 Partial differential equations (35-XX) 7,260 Mechanics of deformable solids (74-XX) 3,381 Statistical mechanics, structure of matter (82-XX) 2,838 Classical thermodynamics, heat transfer (80-XX) 2,780 Biology and other natural sciences (92-XX) 2,694 Optics, electromagnetic theory (78-XX) 2,217 Ordinary differential equations (34-XX) 2,079 Geophysics (86-XX) 1,728 Probability theory and stochastic processes (60-XX) 1,549 Computer science (68-XX) 1,519 Calculus of variations and optimal control; optimization (49-XX) 1,434 Dynamical systems and ergodic theory (37-XX) 1,169 Statistics (62-XX) 1,074 Operations research, mathematical programming (90-XX) 1,065 Quantum theory (81-XX) 1,046 Real functions (26-XX) 998 Integral equations (45-XX) 879 Approximations and expansions (41-XX) 709 Systems theory; control (93-XX) 602 Mechanics of particles and systems (70-XX) 577 Information and communication theory, circuits (94-XX) 571 Linear and multilinear algebra; matrix theory (15-XX) 495 Special functions (33-XX) 465 Harmonic analysis on Euclidean spaces (42-XX) 430 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 406 Operator theory (47-XX) 324 Astronomy and astrophysics (85-XX) 249 Differential geometry (53-XX) 239 Global analysis, analysis on manifolds (58-XX) 237 Relativity and gravitational theory (83-XX) 212 Integral transforms, operational calculus (44-XX) 182 Functional analysis (46-XX) 174 Functions of a complex variable (30-XX) 162 Potential theory (31-XX) 138 Combinatorics (05-XX) 135 Difference and functional equations (39-XX) 96 General and overarching topics; collections (00-XX) 93 Number theory (11-XX) 71 Convex and discrete geometry (52-XX) 67 Measure and integration (28-XX) 62 History and biography (01-XX) 32 Topological groups, Lie groups (22-XX) 29 Manifolds and cell complexes (57-XX) 21 Algebraic geometry (14-XX) 21 Mathematics education (97-XX) 19 Geometry (51-XX) 18 Field theory and polynomials (12-XX) 18 Algebraic topology (55-XX) 17 Sequences, series, summability (40-XX) 16 Mathematical logic and foundations (03-XX) 16 Group theory and generalizations (20-XX) 16 Several complex variables and analytic spaces (32-XX) 13 Abstract harmonic analysis (43-XX) 12 Commutative algebra (13-XX) 11 General topology (54-XX) 10 Nonassociative rings and algebras (17-XX) 6 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX)