# zbMATH — the first resource for mathematics

## SIAM Journal on Scientific Computing

 Short Title: SIAM J. Sci. Comput. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 1064-8275; 1095-7197/e Online: http://epubs.siam.org/loi/sjoce3 Predecessor: SIAM Journal on Scientific and Statistical Computing Comments: Indexed cover-to-cover
 Documents Indexed: 4,630 Publications (since 1993) References Indexed: 1,650 Publications with 67,905 References.
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#### Latest Issues

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#### Authors

 41 Manteuffel, Thomas A. 37 Karniadakis, George Em 34 Saad, Yousef 33 Vassilevski, Panayot Spirov 32 McCormick, Steve Fahrney 28 Ng, Michael Kwok-Po 27 Gander, Martin Jakob 25 Cai, Xiao-Chuan 25 Higham, Nicholas J. 23 Shu, Chi-Wang 21 Ghattas, Omar N. 20 Chan, Tony Fan-Cheong 20 Elman, Howard C. 20 Oosterlee, Cornelis Willebrordus 20 Xiu, Dongbin 18 Benzi, Michele 18 Shen, Jie 18 Yavneh, Irad 17 MacLachlan, Scott P. 17 Trefethen, Lloyd Nicholas 17 Tůma, Miroslav 17 Ying, Lexing 16 Ainsworth, Mark 16 Benner, Peter 16 Falgout, Robert D. 16 Rokhlin, Vladimir 16 Vandewalle, Stefan G. 15 Greengard, Leslie F. 15 Keyes, David Elliot 15 Kilmer, Misha E. 15 Narayan, Akil C. 15 Simoncini, Valeria 15 Wathen, Andrew John 15 Wohlmuth, Barbara I. 14 Biros, George 14 De Sterck, Hans 14 Demmel, James Weldon 14 Golub, Gene Howard 14 Klawonn, Axel 14 Rüde, Ulrich 14 Silvester, David J. 14 Willcox, Karen E. 13 Adler, James H. 13 Bao, Weizhu 13 Jin, Shi 13 Kelley, Carl T. 13 Stathopoulos, Andreas 12 Ascher, Uri M. 12 Aykanat, Cevdet 12 Brandt, Achi E. 12 Chan, Raymond Hon-Fu 12 de Sturler, Eric 12 Duff, Iain S. 12 Gugercin, Serkan 12 Kolev, Tzanio V. 12 Marzouk, Youssef M. 12 Olson, Luke N. 12 Reusken, Arnold 12 Sandu, Adrian 11 Bui-Thanh, Tan 11 Chow, Edmond G. W. 11 Giraud, Luc 11 Haber, Eldad 11 Huang, Weizhang 11 Ito, Kazufumi 11 LeVeque, Randall J. 11 Peskin, Charles S. 11 Petzold, Linda Ruth 11 Shadid, John N. 11 Szyld, Daniel B. 11 Wen, Zaiwen 11 Zhou, Tao 10 Constantine, Paul G. 10 Du, Qiang 10 Hansen, Per Christian 10 Le Maître, Olivier P. 10 Meerbergen, Karl 10 Notay, Yvan 10 O’Leary, Dianne P. 10 Oseledets, Ivan V. 10 Pareschi, Lorenzo 10 Pavarino, Luca Franco 10 Puppo, Gabriella 10 Quarteroni, Alfio M. 10 Ruge, John W. 10 Schroder, Jacob B. 10 Tuminaro, Ray S. 10 Turner, Ian William 9 Abgrall, Rémi 9 Badia, Santiago 9 Bardsley, Johnathan M. 9 Barton, Paul I. 9 Burrage, Kevin 9 Cai, Zhenning 9 Chung, Julianne M. 9 Colella, Phillip 9 Debusschere, Bert J. 9 Dongarra, Jack J. 9 Drmač, Zlatko 9 Gaspar, Francisco José ...and 6,059 more Authors
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#### Fields

 4,205 Numerical analysis (65-XX) 1,588 Partial differential equations (35-XX) 764 Fluid mechanics (76-XX) 283 Computer science (68-XX) 279 Calculus of variations and optimal control; optimization (49-XX) 247 Linear and multilinear algebra; matrix theory (15-XX) 244 Operations research, mathematical programming (90-XX) 241 Probability theory and stochastic processes (60-XX) 202 Statistics (62-XX) 199 Mechanics of deformable solids (74-XX) 197 Ordinary differential equations (34-XX) 194 Optics, electromagnetic theory (78-XX) 170 Statistical mechanics, structure of matter (82-XX) 152 Biology and other natural sciences (92-XX) 151 Approximations and expansions (41-XX) 124 Dynamical systems and ergodic theory (37-XX) 109 Systems theory; control (93-XX) 102 Information and communication theory, circuits (94-XX) 93 Integral equations (45-XX) 90 Geophysics (86-XX) 74 Combinatorics (05-XX) 63 Classical thermodynamics, heat transfer (80-XX) 63 Quantum theory (81-XX) 62 Mechanics of particles and systems (70-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 51 Operator theory (47-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Special functions (33-XX) 33 Potential theory (31-XX) 33 Integral transforms, operational calculus (44-XX) 33 Global analysis, analysis on manifolds (58-XX) 25 Real functions (26-XX) 22 Functions of a complex variable (30-XX) 21 Differential geometry (53-XX) 20 Astronomy and astrophysics (85-XX) 18 Functional analysis (46-XX) 14 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Field theory and polynomials (12-XX) 6 Relativity and gravitational theory (83-XX) 5 Manifolds and cell complexes (57-XX) 3 Mathematics education (97-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

3,958 Publications have been cited 61,554 times in 33,755 Documents Cited by Year
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
2002
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
1999
A fast and high quality multilevel scheme for partitioning irregular graphs. Zbl 0915.68129
Karypis, George; Kumar, Vipin
1999
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
A limited memory algorithm for bound constrained optimization. Zbl 0836.65080
Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou
1995
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
1993
The MATLAB ODE suite. Zbl 0868.65040
Shampine, Lawrence F.; Reichelt, Mark W.
1997
Nonlinear model reduction via discrete empirical interpolation. Zbl 1217.65169
Chaturantabut, Saifon; Sorensen, Danny C.
2010
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
2005
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
2004
Weighted ENO schemes for Hamilton-Jacobi equations. Zbl 0957.35014
Jiang, Guang-Shan; Peng, Danping
2000
Efficient spectral-Galerkin method. I: Direct solvers of second- and fourth-order equations using Legendre polynomials. Zbl 0811.65097
Shen, Jie
1994
The use of the $$L$$-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030
Hansen, Per Christian; O’Leary, Dianne Prost
1993
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
1994
Tensor-train decomposition. Zbl 1232.15018
Oseledets, I. V.
2011
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
2000
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
2005
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
High-order total variation-based image restoration. Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
2000
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
1996
Iterative methods for total variation denoising. Zbl 0847.65083
Vogel, C. R.; Oman, M. E.
1996
Alternating direction algorithms for $$\ell_1$$-problems in compressive sensing. Zbl 1256.65060
Yang, Junfeng; Zhang, Yin
2011
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
1998
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
1999
Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. Zbl 0947.82008
Jin, Shi
1999
Probing the Pareto frontier for basis pursuit solutions. Zbl 1193.49033
van den Berg, Ewout; Friedlander, Michael P.
2008
An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. Zbl 0958.76070
1999
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
2001
A novel pricing method for European options based on Fourier-cosine series expansions. Zbl 1186.91214
Fang, F.; Oosterlee, C. W.
2008
Modeling fractures and barriers as interfaces for flow in porous media. Zbl 1083.76058
Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E.
2005
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
2005
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
2011
On the choice of wavespeeds for the HLLC Riemann solver. Zbl 0992.65088
Batten, P.; Clarke, N.; Lambert, C.; Causon, D. M.
1997
Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009
2006
Parallel preconditioning with sparse approximate inverses. Zbl 0872.65031
Grote, Marcus J.; Huckle, Thomas
1997
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025
Bao, Weizhu; Du, Qiang
2004
Efficient algorithms for computing a strong rank-revealing QR factorization. Zbl 0858.65044
Gu, Ming; Eisenstat, Stanley C.
1996
A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031
Cai, Xiao-Chuan; Sarkis, Marcus
1999
A preconditioner for substructuring based on constrained energy minimization. Zbl 1038.65039
Dohrmann, Clark R.
2003
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. Zbl 0992.65028
Knyazev, Andrew V.
2001
A cyclic low-rank Smith method for large sparse Lyapunov equations. Zbl 0958.65052
Penzl, Thilo
2000
Numerical solution of the Riemann problem for two-dimensional gas dynamics. Zbl 0785.76050
Schulz-Rinne, Carsten W.; Collins, James P.; Glaz, Harland M.
1993
A simple method for compressible multifluid flows. Zbl 0957.76057
Saurel, Richard; Abgrall, Rémi
1999
A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Zbl 1251.76028
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean
2007
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
2003
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. Zbl 0781.65022
Freund, Roland W.
1993
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
Wavelet and Fourier methods for solving the sideways heat equation. Zbl 0959.65107
Eldén, Lars; Berntsson, Fredrik; Reginska, Teresa
2000
Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061
Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric
2002
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
2010
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095
1998
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2006
A new iterative method for solving large-scale Lyapunov matrix equations. Zbl 1146.65038
Simoncini, V.
2007
Fast Fourier transforms for nonequispaced data. Zbl 0791.65108
Dutt, A.; Rokhlin, V.
1993
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
2011
Three-dimensional front tracking. Zbl 0912.65075
Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni
1998
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
2006
A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. Zbl 1410.76464
Shen, Jie; Yang, Xiaofeng
2010
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
2011
Breaking the curse of dimensionality, or how to use SVD in many dimensions. Zbl 1200.65028
Oseledets, I. V.; Tyrtyshnikov, E. E.
2009
Fractional spectral collocation method. Zbl 1294.65097
2014
A sparse approximate inverse preconditioner for nonsymmetric linear systems. Zbl 0930.65027
Benzi, Michele; Tuma, Miroslav
1998
A fast algorithm for deblurring models with Neumann boundary conditions. Zbl 0951.65038
Ng, Michael K.; Chan, Raymond H.; Tang, Wun-Cheung
1999
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
A fourth-order compact ADI scheme for two-dimensional nonlinear space fractional Schrödinger equation. Zbl 1328.65187
Zhao, Xuan; Sun, Zhi-Zhong; Hao, Zhao-Peng
2014
A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110
Zhang, Zhimin; Naga, Ahmed
2005
Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064
Gander, Martin J.; Vandewalle, Stefan
2007
Compact central WENO schemes for multidimensional conservation laws. Zbl 0967.65089
Levy, Doron; Puppo, Gabriella; Russo, Giovanni
2000
Physical systems with random uncertainties: Chaos representations with arbitrary probability measure. Zbl 1075.60084
Soize, Christian; Ghanem, Roger
2004
Quadratic convergence for valuing American options using a penalty method. Zbl 1020.91017
Forsyth, P. A.; Vetzal, K. R.
2002
A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307
Fornberg, Bengt; Piret, Cécile
2007
Algorithms for numerical analysis in high dimensions. Zbl 1085.65045
Beylkin, Gregory; Mohlenkamp, Martin J.
2005
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
Efficient spectral-Galerkin method. II: Direct solvers of second- and fourth-order equations using Chebyshev polynomials. Zbl 0840.65113
Shen, Jie
1995
The compact discontinuous Galerkin (CDG) method for elliptic problems. Zbl 1167.65436
2008
Discretization on unstructured grids for inhomogeneous, anisotropic media. I: Derivation of the methods. Zbl 0951.65080
Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T.
1998
A finite element variational multiscale method for the Navier–Stokes equations. Zbl 1073.76054
John, Volker; Kaya, Songul
2005
Computing the action of the matrix exponential, with an application to exponential integrators. Zbl 1234.65028
Al-Mohy, Awad H.; Higham, Nicholas J.
2011
On the numerical integration of ordinary differential equations by symmetric composition methods. Zbl 0821.65048
McLachlan, Robert I.
1995
Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. Zbl 0890.65149
Dietrich, C. R.; Newsam, G. N.
1997
A sparse approximate inverse preconditioner for the conjugate gradient method. Zbl 0856.65019
Benzi, Michele; Meyer, Carl D.; Tůma, Miroslav
1996
Preconditioning for the steady-state Navier–Stokes equations with low viscosity. Zbl 0935.76057
Elman, Howard C.
1999
The method of regularized stokeslets. Zbl 1064.76080
Cortez, Ricardo
2001
Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
1993
A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods. Zbl 1275.65065
Gassner, Gregor J.
2013
An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. Zbl 0770.65022
Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M.
1993
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
2012
On the compression of low rank matrices. Zbl 1083.65042
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V.
2005
Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. Zbl 1077.65042
Zhang, Zhenyue; Zha, Hongyuan
2004
A fast finite difference method for two-dimensional space-fractional diffusion equations. Zbl 1256.35194
Wang, Hong; Basu, Treena S.
2012
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. Zbl 1096.65089
Liska, Richard; Wendroff, Burton
2003
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
2008
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
An assessment of nonmonotone linesearch techniques for unconstrained optimization. Zbl 0849.90113
Toint, Philippe L.
1996
An improved spectral graph partitioning algorithm for mapping parallel computations. Zbl 0816.68093
Hendrickson, Bruce; Leland, Robert
1995
Numerical challenges in the use of polynomial chaos representations for stochastic processes. Zbl 1072.60042
Debusschere, Bert J.; Najm, Habib N.; Pébay, Philippe P.; Knio, Omar M.; Ghanem, Roger G.; Le Maître, Olivier P.
2004
Hybrid Gauss-trapezoidal quadrature rules. Zbl 0933.41019
1999
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
2015
Lower bound theory of nonzero entries in solutions of $$\ell_2-\ell_p$$ minimization. Zbl 1242.90174
Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu
2010
The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. Zbl 07328665
Mirzaei, Davoud
2021
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias
2021
Butterfly factorization via randomized matrix-vector multiplications. Zbl 1462.65044
Liu, Yang; Xing, Xin; Guo, Han; Michielssen, Eric; Ghysels, Pieter; Li, Xiaoye Sherry
2021
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. Zbl 07340710
Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2021
Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. Zbl 1456.49038
Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin
2021
Polynomial preconditioned Arnoldi with stability control. Zbl 1464.65035
Embree, Mark; Loe, Jennifer A.; Morgan, Ronald
2021
Laplacian smoothing stochastic gradient Markov chain Monte Carlo. Zbl 1464.65007
Wang, Bao; Zou, Difan; Gu, Quanquan; Osher, Stanley J.
2021
Preconditioning the mass matrix for high order finite element approximation on tetrahedra. Zbl 1466.65174
Ainsworth, Mark; Jiang, Shuai
2021
Computing edge states without hard truncation. Zbl 07331001
Thicke, Kyle; Watson, Alexander B.; Lu, Jianfeng
2021
High-order well-balanced finite-volume schemes for hydrodynamic equations with nonlocal free energy. Zbl 07331003
Carrillo, José A.; Castro, Manuel J.; Kalliadasis, Serafim; Perez, Sergio P.
2021
Fast variable density 3-D node generation. Zbl 07331666
van der Sande, Kiera; Fornberg, Bengt
2021
Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. Zbl 1467.65023
Higham, Nicholas J.; Pranesh, Srikara
2021
Closed form dispersion corrections including a real shifted wavenumber for finite difference discretizations of 2D constant coefficient Helmholtz problems. Zbl 1464.35064
Cocquet, Pierre-Henri; Gander, Martin J.; Xiang, Xueshuang
2021
A unified meshfree pseudospectral method for solving both classical and fractional PDEs. Zbl 07340715
Burkardt, John; Wu, Yixuan; Zhang, Yanzhi
2021
Adaptive deep learning for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1467.49028
Nakamura-Zimmerer, Tenavi; Gong, Qi; Kang, Wei
2021
Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 07364328
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K.
2021
A multilevel Schwarz preconditioner based on a hierarchy of robust coarse spaces. Zbl 07364342
Al Daas, Hussam; Grigori, Laura; Jolivet, Pierre; Tournier, Pierre-Henri
2021
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 07379630
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2021
Rational spectral filters with optimal convergence rate. Zbl 07379632
Kollnig, Konrad; Bientinesi, Paolo; Di Napoli, Edoardo A.
2021
Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634
Langer, Ulrich; Zank, Marco
2021
Relaxation Runge-Kutta methods: fully discrete explicit entropy-stable schemes for the compressible Euler and Navier-Stokes equations. Zbl 1432.76207
Ranocha, Hendrik; Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I.
2020
Arbitrarily high-order unconditionally energy stable schemes for thermodynamically consistent gradient flow models. Zbl 1447.65099
Gong, Yuezheng; Zhao, Jia; Wang, Qi
2020
Gradient-based dimension reduction of multivariate vector-valued functions. Zbl 1433.41007
Zahm, Olivier; Constantine, Paul G.; Prieur, Clémentine; Marzouk, Youssef M.
2020
Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145
Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T.
2020
Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. Zbl 1444.65006
De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M.
2020
The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing. Zbl 1447.65057
Liu, Zhengguang; Li, Xiaoli
2020
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
2020
A simple solver for the fractional Laplacian in multiple dimensions. Zbl 1437.65242
Minden, Victor; Ying, Lexing
2020
A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state. Zbl 1432.65169
Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua
2020
Trefftz finite elements on curvilinear polygons. Zbl 1440.65173
Anand, Akash; Ovall, Jeffrey S.; Reynolds, Samuel E.; Weißer, Steffen
2020
Parameter recovery for the 2 dimensional Navier-Stokes equations via continuous data assimilation. Zbl 07163356
Carlson, Elizabeth; Hudson, Joshua; Larios, Adam
2020
Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200
Endtmayer, B.; Langer, U.; Wick, T.
2020
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis. Zbl 1429.65061
Bünger, Alexandra; Dolgov, Sergey; Stoll, Martin
2020
Physics-informed generative adversarial networks for stochastic differential equations. Zbl 1440.60065
Yang, Liu; Zhang, Dongkun; Karniadakis, George Em
2020
Mixed precision block fused multiply-add: error analysis and application to GPU tensor cores. Zbl 1452.65425
Blanchard, Pierre; Higham, Nicholas J.; Lopez, Florent; Mary, Theo; Pranesh, Srikara
2020
Multivariate Monte Carlo approximation based on scattered data. Zbl 07228313
Gao, Wenwu; Sun, Xingping; Wu, Zongmin; Zhou, Xuan
2020
Rotation-based mixed formulations for an elasticity-poroelasticity interface problem. Zbl 1455.65208
Anaya, Verónica; de Wijn, Zoa; Gómez-Vargas, Bryan; Mora, David; Ruiz-Baier, Ricardo
2020
Learning in modal space: solving time-dependent stochastic PDEs using physics-informed neural networks. Zbl 1440.60067
Zhang, Dongkun; Guo, Ling; Karniadakis, George Em
2020
Randomized extended average block Kaczmarz for solving least squares. Zbl 1457.65020
Du, Kui; Si, Wu-Tao; Sun, Xiao-Hui
2020
A registration method for model order reduction: data compression and geometry reduction. Zbl 1439.65196
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First and second order shape optimization based on restricted mesh deformations. Zbl 07206723
Etling, Tommy; Herzog, Roland; Loayza, Estefanía; Wachsmuth, Gerd
2020
Scalable optimization-based sampling on function space. Zbl 07206728
Bardsley, Johnathan M.; Cui, Tiangang; Marzouk, Youssef M.; Wang, Zheng
2020
Pressure robust weak Galerkin finite element methods for Stokes problems. Zbl 1440.65224
Mu, Lin
2020
Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales. Zbl 1441.65055
Roberts, Steven; Sarshar, Arash; Sandu, Adrian
2020
A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty. Zbl 1452.62599
Geiersbach, Caroline; Wollner, Winnifried
2020
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. Zbl 1453.65286
Peherstorfer, Benjamin
2020
A hybrid high-order discretization combined with Nitsche’s method for contact and Tresca friction in small strain elasticity. Zbl 1452.65328
Chouly, Franz; Ern, Alexandre; Pignet, Nicolas
2020
Global constraints preserving scalar auxiliary variable schemes for gradient flows. Zbl 1456.65087
Cheng, Qing; Shen, Jie
2020
A discontinuous Galerkin method for stochastic conservation laws. Zbl 07149719
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
2020
When bifidelity meets cokriging: an efficient physics-informed multifidelity method. Zbl 07163355
Yang, Xiu; Zhu, Xueyu; Li, Jing
2020
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. Zbl 07226088
Abgrall, Rémi; Torlo, Davide
2020
Randomization and reweighted $$\ell_1$$-minimization for A-optimal design of linear inverse problems. Zbl 1442.62175
Herman, Elizabeth; Alexanderian, Alen; Saibaba, Arvind K.
2020
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2020
Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. Zbl 1434.65041
Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka
2020
A scalable multigrid reduction framework for multiphase poromechanics of heterogeneous media. Zbl 1435.65153
Bui, Quan M.; Osei-Kuffuor, Daniel; Castelletto, Nicola; White, Joshua A.
2020
Symmetric and nonsymmetric discontinuous Galerkin methods for a pseudostress formulation of the Stokes spectral problem. Zbl 1432.76161
Lepe, Felipe; Mora, David
2020
Adaptive second-order Crank-Nicolson time-stepping schemes for time-fractional molecular beam epitaxial growth models. Zbl 1464.35229
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
2020
Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139
Dwarka, Vandana; Vuik, Cornelis
2020
A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. Zbl 1437.65021
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
2020
Interpolative decomposition butterfly factorization. Zbl 1453.65088
Pang, Qiyuan; Ho, Kenneth L.; Yang, Haizhao
2020
High-order, dispersionless “fast-hybrid” wave equation solver. I: $$\mathcal{O}(1)$$ sampling cost via incident-field windowing and recentering. Zbl 1447.65108
Anderson, Thomas G.; Bruno, Oscar P.; Lyon, Mark
2020
A class of fast and accurate summation algorithms. Zbl 07206739
Blanchard, Pierre; Higham, Nicholas J.; Mary, Theo
2020
An algorithm for real and complex rational minimax approximation. Zbl 1452.65035
Nakatsukasa, Yuji; Trefethen, Lloyd N.
2020
Mixed-dimensional auxiliary space preconditioners. Zbl 1452.65049
Budiša, Ana; Boon, Wietse M.; Hu, Xiaozhe
2020
Identification of point-like objects with multifrequency sparse data. Zbl 1452.35256
Ji, Xia; Liu, Xiaodong
2020
A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. Zbl 1451.65210
Huang, Fukeng; Shen, Jie; Yang, Zhiguo
2020
A class of exponential integrators based on spectral deferred correction. Zbl 1429.65139
Buvoli, Tommaso
2020
Numerical simulation of microflows using Hermite spectral methods. Zbl 1428.76188
Hu, Zhicheng; Cai, Zhenning; Wang, Yanli
2020
Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. Zbl 1447.82024
Goudon, Thierry; Monasse, Laurent
2020
Wave enhancement through optimization of boundary conditions. Zbl 1430.35171
Ammari, Habib; Bruno, Oscar; Imeri, Kthim; Nigam, Nilima
2020
A multigrid method for unfitted finite element discretizations of elliptic interface problems. Zbl 1447.65156
Ludescher, Thomas; Gross, Sven; Reusken, Arnold
2020
Auxiliary space preconditioning of finite element equations using a nonconforming interior penalty reformulation and static condensation. Zbl 1448.65235
Kalchev, Delyan Z.; Vassilevski, Panayot S.
2020
MALA-within-Gibbs samplers for high-dimensional distributions with sparse conditional structure. Zbl 1444.62073
Tong, X. T.; Morzfeld, M.; Marzouk, Y. M.
2020
Implementing a smooth exact penalty function for general constrained nonlinear optimization. Zbl 1447.90064
Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A.
2020
Strang splitting method for semilinear parabolic problems with inhomogeneous boundary conditions: a correction based on the flow of the nonlinearity. Zbl 1447.65058
Bertoli, Guillaume; Vilmart, Gilles
2020
Multilevel sequential importance sampling for rare event estimation. Zbl 1442.35569
Wagner, F.; Latz, J.; Papaioannou, I.; Ullmann, E.
2020
A computational framework for two-dimensional random walks with restarts. Zbl 1462.65046
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2020
A staggered cell-centered DG method for linear elasticity on polygonal meshes. Zbl 1447.65169
Zhao, Lina; Park, Eun-Jae
2020
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
2020
Multilevel adaptive sparse Leja approximations for Bayesian inverse problems. Zbl 1432.35250
Farcaş, I.-G.; Latz, J.; Ullmann, E.; Neckel, T.; Bungartz, H.-J.
2020
Vlasov-Poisson system tackled by particle simulation utilizing boundary element methods. Zbl 1439.35476
Keßler, Torsten; Rjasanow, Sergej; Weißer, Steffen
2020
A parametric finite element method for solid-state dewetting problems in three dimensions. Zbl 1430.74056
Zhao, Quan; Jiang, Wei; Bao, Weizhu
2020
Data-informed method of distributions for hyperbolic conservation laws. Zbl 1436.35330
Boso, Francesca; Tartakovsky, Daniel M.
2020
Galerkin differences for high-order partial differential equations. Zbl 1432.65147
Jacangelo, J.; Banks, J. W.; Hagstrom, T.
2020
Splitting methods for rotations: application to Vlasov equations. Zbl 1432.65133
Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas
2020
Multilevel convergence analysis of multigrid-reduction-in-time. Zbl 1432.65177
Hessenthaler, Andreas; Southworth, Ben S.; Nordsletten, David; Röhrle, Oliver; Falgout, Robert D.; Schroder, Jacob B.
2020
Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. Zbl 1456.65120
Peherstorfer, Benjamin
2020
Anderson accelerated Douglas-Rachford splitting. Zbl 1458.90511
Fu, Anqi; Zhang, Junzi; Boyd, Stephen
2020
A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions. Zbl 1456.76104
Luo, Li; Cai, Xiao-Chuan; Yan, Zhengzheng; Xu, Lei; Keyes, David E.
2020
Semidefinite relaxation of multimarginal optimal transport for strictly correlated electrons in second quantization. Zbl 1456.49037
Khoo, Yuehaw; Lin, Lin; Lindsey, Michael; Ying, Lexing
2020
Primal-dual reduced basis methods for convex minimization variational problems: robust true solution a posteriori error certification and adaptive greedy algorithms. Zbl 1456.65171
Zhang, Shun
2020
A stabilized DG cut cell method for discretizing the linear transport equation. Zbl 07303419
Engwer, Christian; May, Sandra; Nüßing, Andreas; Streitbürger, Florian
2020
Scalable asynchronous domain decomposition solvers. Zbl 1461.65257
Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Szyld, Daniel B.
2020
A generic finite element framework on parallel tree-based adaptive meshes. Zbl 07328656
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc
2020
Convergence analysis of inexact randomized iterative methods. Zbl 07328658
Loizou, Nicolas; Richtárik, Peter
2020
$$\mathcal{H}_2$$-optimal model reduction using projected nonlinear least squares. Zbl 1461.93060
Hokanson, Jeffrey M.; Magruder, Caleb C.
2020
Three-precision GMRES-based iterative refinement for least squares problems. Zbl 1461.65032
Carson, Erin; Higham, Nicholas J.; Pranesh, Srikara
2020
Hm-toolbox: MATLAB software for HODLR and HSS matrices. Zbl 1437.15002
Massei, Stefano; Robol, Leonardo; Kressner, Daniel
2020
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi
2020
Multifidelity dimension reduction via active subspaces. Zbl 07194366
Lam, Remi R.; Zahm, Olivier; Marzouk, Youssef M.; Willcox, Karen E.
2020
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#### Cited by 33,210 Authors

 120 Shu, Chi-Wang 117 Huang, Ting-Zhu 104 Karniadakis, George Em 104 Reichel, Lothar 101 Dehghan Takht Fooladi, Mehdi 100 Benner, Peter 80 Shen, Jie 75 Dumbser, Michael 69 He, Yinnian 69 Nordström, Jan 69 Wang, Hong 66 Ma, Changfeng 65 Quarteroni, Alfio M. 61 Huang, Yunqing 61 Oosterlee, Cornelis Willebrordus 61 Qiu, Jianxian 61 Wei, Yimin 61 Yang, Xiaofeng 60 Gander, Martin Jakob 60 Hesthaven, Jan S. 60 Serra-Capizzano, Stefano 59 Chung, Tsz Shun Eric 58 Zhang, Guofeng 56 Wohlmuth, Barbara I. 56 Zhang, Zhimin 54 Ng, Michael Kwok-Po 53 Ying, Lexing 52 Du, Qiang 50 Tezduyar, Tayfun E. 49 Kurganov, Alexander 49 Simoncini, Valeria 48 Schwab, Christoph 47 Feng, Xinlong 47 Jin, Shi 47 Liu, Fawang 47 Sandu, Adrian 46 Lin, Guang 46 Wheeler, Mary Fanett 45 Bai, Zhongzhi 45 Harbrecht, Helmut 44 Cai, Xiao-Chuan 44 Gunzburger, Max D. 44 Kressner, Daniel 44 Vuik, Cornelis 44 Wall, Wolfgang A. 43 Chen, Ke 43 Jiang, Yaolin 43 Sun, Zhizhong 43 Vohralík, Martin 43 Zhang, Chengjian 42 Abgrall, Rémi 42 Fu, Chuli 42 Saad, Yousef 41 Axelsson, Axel Owe Holger 41 Benzi, Michele 41 Chen, Yanping 41 Nobile, Fabio 41 Pavarino, Luca Franco 40 Greengard, Leslie F. 40 Hou, Yanren 40 Kunisch, Karl 40 Li, Zhilin 39 Cockburn, Bernardo 39 Donatelli, Marco 39 Khaliq, Abdul Q. M. 39 Rozza, Gianluigi 39 Takizawa, Kenji 38 Bao, Weizhu 38 Gaspar, Francisco José 38 Vassilevski, Panayot Spirov 38 Xiu, Dongbin 37 Bürger, Raimund 37 Farhat, Charbel H. 37 He, Xiaoming 37 Huang, Chengming 37 Narayan, Akil C. 37 Oseledets, Ivan V. 37 Osher, Stanley Joel 37 Qian, Jianliang 37 Sun, Shuyu 37 Turner, Ian William 37 Xu, Jinchao 37 Yuan, Guangwei 36 Boyd, John Philip 36 Chan, Raymond Hon-Fu 36 Hou, Thomas Yizhao 36 Ju, Lili 36 Maday, Yvon 36 Shen, Zuowei 36 Zhang, Jun 35 Burrage, Kevin 35 Hu, Xiaozhe 35 Huang, Weizhang 35 Jbilou, Khalide 35 Mei, Liquan 35 Patera, Anthony T. 35 Praetorius, Dirk 35 Seaïd, Mohammed 35 Shadid, John N. 35 Sun, Haiwei ...and 33,110 more Authors
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#### Cited in 809 Journals

 4,104 Journal of Computational Physics 1,918 Journal of Computational and Applied Mathematics 1,472 Journal of Scientific Computing 1,416 Computer Methods in Applied Mechanics and Engineering 1,341 SIAM Journal on Scientific Computing 1,124 Applied Mathematics and Computation 1,120 Applied Numerical Mathematics 1,097 Computers & Mathematics with Applications 698 Computers and Fluids 615 Numerical Algorithms 524 Numerische Mathematik 463 Mathematics of Computation 457 Linear Algebra and its Applications 410 International Journal for Numerical Methods in Engineering 387 SIAM Journal on Numerical Analysis 378 BIT 332 Advances in Computational Mathematics 317 Numerical Linear Algebra with Applications 286 International Journal of Computer Mathematics 275 Journal of Fluid Mechanics 249 SIAM Journal on Matrix Analysis and Applications 247 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 246 Applied Mathematical Modelling 238 Numerical Methods for Partial Differential Equations 237 Engineering Analysis with Boundary Elements 227 Computational Geosciences 226 Computational Mechanics 223 International Journal for Numerical Methods in Fluids 223 Mathematics and Computers in Simulation 223 Computational Optimization and Applications 211 Inverse Problems 198 Mathematical Problems in Engineering 196 Applied Mathematics Letters 182 Journal of Mathematical Analysis and Applications 178 SIAM/ASA Journal on Uncertainty Quantification 173 Computational and Applied Mathematics 171 Applied and Computational Harmonic Analysis 168 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 150 Multiscale Modeling & Simulation 143 Optimization Methods & Software 138 SIAM Journal on Imaging Sciences 136 Journal of Mathematical Imaging and Vision 122 Calcolo 119 Computer Physics Communications 118 Physica D 117 SIAM Journal on Optimization 114 Journal of Optimization Theory and Applications 107 Communications in Nonlinear Science and Numerical Simulation 104 Mathematical Programming. Series A. Series B 102 Mathematical Methods in the Applied Sciences 102 Computing 100 Inverse Problems in Science and Engineering 96 Mathematical and Computer Modelling 92 Physics of Fluids 90 Journal of Global Optimization 84 Abstract and Applied Analysis 84 East Asian Journal on Applied Mathematics 82 Inverse Problems and Imaging 80 Computational Statistics and Data Analysis 78 SIAM Journal on Applied Mathematics 77 Automatica 77 Computing and Visualization in Science 76 Applicable Analysis 76 Japan Journal of Industrial and Applied Mathematics 74 Foundations of Computational Mathematics 73 Numerical Functional Analysis and Optimization 72 Science China. Mathematics 71 Comptes Rendus. Mathématique. Académie des Sciences, Paris 70 Archives of Computational Methods in Engineering 69 Journal of Applied Mathematics and Computing 69 International Journal of Computational Methods 68 Bulletin of Mathematical Biology 68 Chaos 67 Computational Methods in Applied Mathematics 64 Wave Motion 63 Journal of Applied Mathematics 62 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 61 European Journal of Operational Research 61 SIAM Review 60 ETNA. Electronic Transactions on Numerical Analysis 58 Journal of Numerical Mathematics 55 Journal of the Franklin Institute 55 Quantitative Finance 55 Discrete and Continuous Dynamical Systems. Series B 54 The Annals of Statistics 54 Communications in Numerical Methods in Engineering 54 Statistics and Computing 53 Journal of Complexity 52 Journal of Engineering Mathematics 52 Pattern Recognition 51 Advances in Difference Equations 50 Journal of Differential Equations 49 Journal of Mathematical Biology 49 Journal of Theoretical Biology 47 Journal of Mathematical Physics 47 SIAM Journal on Applied Dynamical Systems 46 Journal of Inverse and Ill-Posed Problems 44 Kinetic and Related Models 43 ACM Transactions on Mathematical Software 43 International Journal of Computational Fluid Dynamics ...and 709 more Journals
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#### Cited in 61 Fields

 23,555 Numerical analysis (65-XX) 9,230 Partial differential equations (35-XX) 7,870 Fluid mechanics (76-XX) 2,561 Mechanics of deformable solids (74-XX) 2,179 Operations research, mathematical programming (90-XX) 1,589 Calculus of variations and optimal control; optimization (49-XX) 1,567 Linear and multilinear algebra; matrix theory (15-XX) 1,547 Probability theory and stochastic processes (60-XX) 1,526 Statistics (62-XX) 1,511 Computer science (68-XX) 1,460 Ordinary differential equations (34-XX) 1,422 Biology and other natural sciences (92-XX) 1,291 Information and communication theory, circuits (94-XX) 1,148 Optics, electromagnetic theory (78-XX) 1,014 Statistical mechanics, structure of matter (82-XX) 903 Systems theory; control (93-XX) 768 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 764 Approximations and expansions (41-XX) 735 Dynamical systems and ergodic theory (37-XX) 731 Geophysics (86-XX) 567 Integral equations (45-XX) 550 Classical thermodynamics, heat transfer (80-XX) 406 Operator theory (47-XX) 386 Harmonic analysis on Euclidean spaces (42-XX) 340 Real functions (26-XX) 328 Mechanics of particles and systems (70-XX) 321 Quantum theory (81-XX) 254 Combinatorics (05-XX) 252 Special functions (33-XX) 145 Global analysis, analysis on manifolds (58-XX) 140 Functional analysis (46-XX) 135 Functions of a complex variable (30-XX) 131 Integral transforms, operational calculus (44-XX) 123 Differential geometry (53-XX) 99 Potential theory (31-XX) 90 Number theory (11-XX) 87 Astronomy and astrophysics (85-XX) 74 Difference and functional equations (39-XX) 59 Convex and discrete geometry (52-XX) 41 General and overarching topics; collections (00-XX) 41 Relativity and gravitational theory (83-XX) 40 History and biography (01-XX) 28 Measure and integration (28-XX) 26 Field theory and polynomials (12-XX) 24 Algebraic geometry (14-XX) 22 Geometry (51-XX) 21 Commutative algebra (13-XX) 19 Manifolds and cell complexes (57-XX) 15 Topological groups, Lie groups (22-XX) 13 Mathematics education (97-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Sequences, series, summability (40-XX) 10 Algebraic topology (55-XX) 9 Group theory and generalizations (20-XX) 9 General topology (54-XX) 7 Mathematical logic and foundations (03-XX) 6 Nonassociative rings and algebras (17-XX) 6 Abstract harmonic analysis (43-XX) 4 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX)