## IMA Journal of Numerical Analysis

 Short Title: IMA J. Numer. Anal. Publisher: Oxford University Press, Oxford ISSN: 0272-4979; 1464-3642/e Online: https://academic.oup.com/imajna/issue Predecessor: Journal of the Institute of Mathematics and its Applications Comments: Indexed cover-to-cover
 Documents Indexed: 2,007 Publications (since 1981)
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### Latest Issues

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### Authors

 26 Barrett, John William 25 Elliott, Charles M. 24 Iserles, Arieh 16 Süli, Endre E. 14 Sanz-Serna, Jesús María 13 Pani, Amiya Kumar 12 Bernardi, Christine 12 Brunner, Hermann 12 Eymard, Robert 12 Lubich, Christian 12 Powell, Michael James David 12 Sloan, Ian Hugh 12 Stynes, Martin 11 Gatica, Gabriel N. 10 Graham, Ivan G. 10 Herbin, Raphaèle 9 Atkinson, Kendall Eugene 9 Carstensen, Carsten 9 Cockburn, Bernardo 9 Droniou, Jérôme 9 Ern, Alexandre 9 Heuer, Norbert 9 Higham, Nicholas J. 9 Li, Buyang 9 Meddahi, Salim 9 Nicaise, Serge 9 Watson, G. Alistair 9 Yuan, Ya-xiang 8 Burman, Erik 8 Georgoulis, Emmanuil H. 8 Higham, Desmond J. 8 Nørsett, Syvert Paul 8 Nürnberg, Robert 8 Ostermann, Alexander 8 Rodríguez, Rodolfo 8 Sayas, Francisco-Javier 8 Schötzau, Dominik 8 Schwab, Christoph 8 van der Houwen, Pieter J. 7 Akrivis, Georgios D. 7 Banjai, Lehel 7 Fairweather, Graeme 7 Garcke, Harald 7 Hill, Adrian T. 7 Houston, Paul 7 Jin, Bangti 7 Karlsen, Kenneth Hvistendahl 7 Kovács, Balázs 7 Nataraj, Neela 7 Osborne, Michael Robert 7 Praetorius, Dirk 7 Prohl, Andreas 7 Stevenson, Rob P. 6 Ainsworth, Mark 6 Araya, Rodolfo A. 6 Barrenechea, Gabriel R. 6 Bartels, Sören 6 Buhmann, Martin Dietrich 6 Chainais-Hillairet, Claire 6 Chandler-Wilde, Simon N. 6 Dai, Yu-Hong 6 Forsyth, Peter A. 6 Gallouët, Thierry 6 García-Archilla, Bosco 6 Girault, Vivette 6 Grohs, Philipp 6 Guzmán, Johnny 6 Hackbusch, Wolfgang 6 Huybrechs, Daan 6 Maday, Yvon 6 McKee, Sean 6 Meerbergen, Karl 6 Melenk, Jens Markus 6 Moore, Gerald 6 Mora, David 6 Morton, Keith William 6 Phillips, Timothy N. 6 Qiu, Weifeng 6 Sauter, Stefan A. 6 Schöberl, Joachim 6 Sommeijer, Ben P. 6 Tobiska, Lutz 6 Tretyakov, Michael V. 6 Wathen, Andrew John 5 Andreani, Roberto 5 Apel, Thomas 5 Bai, Zhongzhi 5 Baker, Christopher Thomas Hale 5 Blowey, James F. 5 Burrage, Kevin 5 Cooper, Gavin J. 5 Cox, Maurice G. 5 Curtis, Frank E. 5 de Frutos, Javier 5 Deckelnick, Klaus 5 Diening, Lars 5 Dormand, John R. 5 Feng, Xiaobing 5 Griffiths, David F. 5 Guglielmi, Nicola ...and 2,382 more Authors
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### Fields

 1,854 Numerical analysis (65-XX) 650 Partial differential equations (35-XX) 214 Fluid mechanics (76-XX) 187 Ordinary differential equations (34-XX) 141 Approximations and expansions (41-XX) 109 Integral equations (45-XX) 93 Operations research, mathematical programming (90-XX) 81 Mechanics of deformable solids (74-XX) 63 Probability theory and stochastic processes (60-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 50 Optics, electromagnetic theory (78-XX) 42 Dynamical systems and ergodic theory (37-XX) 42 Operator theory (47-XX) 32 Classical thermodynamics, heat transfer (80-XX) 30 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 19 Special functions (33-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Biology and other natural sciences (92-XX) 17 Real functions (26-XX) 17 Quantum theory (81-XX) 15 Potential theory (31-XX) 15 Statistics (62-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Computer science (68-XX) 9 Integral transforms, operational calculus (44-XX) 9 Differential geometry (53-XX) 8 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 7 Geophysics (86-XX) 6 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Difference and functional equations (39-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX)

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1,736 Publications have been cited 24,607 times in 17,911 Documents Cited by Year
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Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
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2007
A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence. Zbl 1106.65056
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2006
Local error estimates for radial basis function interpolation of scattered data. Zbl 0762.41006
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1993
Families of Runge-Kutta-Nyström formulae. Zbl 0624.65059
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1987
Descent property and global convergence of the Fletcher-Reeves method with inexact line search. Zbl 0578.65063
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1985
Computing the nearest correlation matrix – a problem from finance. Zbl 1006.65036
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2002
On the Barzilai and Borwein choice of steplength for the gradient method. Zbl 0778.65045
Raydan, Marcos
1993
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144
Eymard, R.; Gallouët, T.; Herbin, R.
2010
Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems. Zbl 1271.65100
Bai, Zhong-Zhi; Benzi, Michele; Chen, Fang; Wang, Zeng-Qi
2013
Finite elements on evolving surfaces. Zbl 1120.65102
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2007
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
$$R$$-linear convergence of the Barzilai and Borwein gradient method. Zbl 1002.65069
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2002
A new approach to variable selection in least squares problems. Zbl 0962.65036
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2000
Numerical methods for $$y''=f(x,y)$$ via rational approximations for the cosine. Zbl 0675.65072
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1989
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
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2005
$$P$$-stability and exponential-fitting methods for $$y''=f(x,y)$$. Zbl 0847.65052
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1996
Block preconditioning of real-valued iterative algorithms for complex linear systems. Zbl 1145.65022
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2008
Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002
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2002
The numerical computation of connecting orbits in dynamical systems. Zbl 0706.65080
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1990
On generalized moving least squares and diffuse derivatives. Zbl 1252.65037
Mirzaei, Davoud; Schaback, Robert; Dehghan, Mehdi
2012
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
2017
Moment-free numerical integration of highly oscillatory functions. Zbl 1106.65021
Olver, Sheehan
2006
The numerical stability of barycentric Lagrange interpolation. Zbl 1067.65016
Higham, Nicholas J.
2004
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
2007
Numerical solution of the stable, non-negative definite Lyapunov equation. Zbl 0492.65017
Hammarling, S. J.
1982
Robust numerical methods for contingent claims under jump diffusion processes. Zbl 1134.91405
D’Halluin, Y.; Forsyth, P. A.; Vetzal, K. R.
2005
A novel fitted finite volume method for the Black-Scholes equation governing option pricing. Zbl 1147.91332
Wang, Song
2004
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
2015
Restrictively preconditioned conjugate gradient methods for systems of linear equations. Zbl 1046.65018
Bai, Zhongzhi; Li, Guiqing
2003
Convergence of Newton’s method and uniqueness of the solution of equations in Banach space. Zbl 0942.65057
Wang, Xinghua
2000
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074
Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo
2009
Inexact spectral projected gradient methods on convex sets. Zbl 1047.65042
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
2003
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
2014
A conforming mixed finite element method for the coupling of fluid flow with porous media flow. Zbl 1157.76025
Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo
2009
Approximation of the global attractor for the incompressible Navier-Stokes equations. Zbl 0982.76022
2000
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
1997
Product approximation for non-linear problems in the finite element method. Zbl 0469.65072
Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Sanz-Serna, J. M.
1981
Realistic eigenvalue bounds for the Galerkin mass matrix. Zbl 0648.65076
Wathen, A. J.
1987
Finite difference discretization of the cubic Schrödinger equation. Zbl 0762.65070
Akrivis, Georgios D.
1993
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
1987
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2015
Block-diagonal preconditioning for spectral stochastic finite-element systems. Zbl 1169.65007
Powell, Catherine E.; Elman, Howard C.
2009
The stability of the $$\theta$$-methods in the numerical solution of delay differential equations. Zbl 0693.65056
Liu, M. Z.; Spijker, M. N.
1990
Newton’s method on Riemannian manifolds: Covariant alpha theory. Zbl 1047.65037
Dedieu, Jean-Pierre; Priouret, Pierre; Malajovich, Gregorio
2003
The cyclic Barzilai-Borwein method for unconstrained optimization. Zbl 1147.65315
Dai, Yuhong; Hager, William W.; Schittkowski, Klaus; Zhang, Hongchao
2006
Stability of Runge-Kutta methods for trajectory problems. Zbl 0624.65057
Cooper, G. J.
1987
Stability and convergence of a second-order mixed finite element method for the Cahn-Hilliard equation. Zbl 1433.80005
Diegel, Amanda E.; Wang, Cheng; Wise, Steven M.
2016
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
1986
Order conditions for a class of two-step methods for $$y''=f(x,y)$$. Zbl 1022.65080
Coleman, John P.
2003
A class of derivative-free methods for large-scale nonlinear monotone equations. Zbl 1241.65047
Li, Qingna; Li, Dong-Hui
2011
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann
2011
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
2002
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. Zbl 0737.65022
Chan, Raymond H.
1991
On the stability of linear multistep methods for Volterra convolution equations. Zbl 0543.65095
Lubich, Ch.
1983
A modified BFGS algorithm for unconstrained optimization. Zbl 0733.65039
Yuan, Yaxiang
1991
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
2006
High-order embedded Runge-Kutta-Nyström formulae. Zbl 0627.65085
Dormand, J. R.; El-Mikkawy, M. E. A.; Prince, P. J.
1987
A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems. Zbl 1048.65076
2003
A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. Zbl 1433.76071
Cáceres, Ernesto; Gatica, Gabriel N.
2017
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
2004
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. Zbl 1022.65108
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar
2003
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
Global convergence of a class of trust-region methods for nonconvex minimization in Hilbert space. Zbl 0698.65043
Toint, Ph. L.
1988
Numerical solvability of Hammerstein integral equations of mixed type. Zbl 0719.65093
Ganesh, M.; Joshi, M. C.
1991
Well-posedness of $$hp$$-version discontinuous Galerkin methods for fractional diffusion wave equations. Zbl 1310.65128
Mustapha, Kassem; Schötzau, Dominik
2014
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
2001
A new weak Galerkin finite element method for the Helmholtz equation. Zbl 1323.65116
Mu, Lin; Wang, Junping; Ye, Xiu
2015
Numerical convergence properties of option pricing PDEs with uncertain volatility. Zbl 1040.91053
Pooley, D. M.; Forsyth, P. A.; Vetzal, K. R.
2003
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. Zbl 1339.65097
Stynes, Martin; Gracia, José Luis
2015
The Galerkin method for integral equations of the first kind with logarithmic kernel: Theory. Zbl 0636.65143
Sloan, I. H.; Spence, A.
1988
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
2011
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078
Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R.
1998
Solving linear partial differential equations by exponential splitting. Zbl 0676.65116
Sheng, Q.
1989
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
2004
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics. Zbl 1347.65014
Leimkuhler, Benedict; Matthews, Charles; Stoltz, Gabriel
2016
Centred TVD schemes for hyperbolic conservation laws. Zbl 0943.65100
Toro, E. F.; Billet, S. J.
2000
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. Zbl 0765.65126
Tang, Tao
1993
$$H^1$$-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
2002
An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements. Zbl 1219.65091
Mustapha, Kassem
2011
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
2009
Linearly implicit time discretization of nonlinear parabolic equations. Zbl 0834.65092
Lubich, Ch.; Ostermann, A.
1995
The calculation of Hopf points by a direct method. Zbl 0521.65070
Griewank, A.; Reddien, G.
1983
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
Newton’s method on Riemannian manifolds: Smale’s point estimate theory under the $$\gamma$$-condition. Zbl 1094.65052
Li, Chong; Wang, Jinhua
2006
A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems. Zbl 1204.65133
Egger, Herbert; Schöberl, Joachim
2010
Local polynomial reproduction and moving least squares approximation. Zbl 0976.65013
Wendland, Holger
2001
Convergence properties of the Fletcher-Reeves method. Zbl 0851.65049
Dai, Y. H.; Yuan, Y.
1996
Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010
Lord, Gabriel J.; Tambue, Antoine
2013
The discrete collocation method for nonlinear integral equations. Zbl 0771.65090
Atkinson, K.; Flores, J.
1993
Piecewise rational quadratic interpolation to monotonic data. Zbl 0481.65004
Gregory, J. A.; Delbourgo, R.
1982
Conservative upwind finite-element method for a simplified Keller-Segel system modelling chemotaxis. Zbl 1119.65094
Saito, Norikazu
2007
Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case. Zbl 1084.65116
Houston, Paul; Robson, Janice; Süli, Endre
2005
Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. I: Linear version. Zbl 1296.65144
Wu, Haijun
2014
A second elasticity element using the matrix bubble. Zbl 1232.74101
Gopalakrishnan, J.; Guzmán, J.
2012
$$\varepsilon$$-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. Zbl 0942.65095
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P.
2000
Approximation of $$1/x$$ by exponential sums in $$[1, \infty]$$. Zbl 1082.65025
Braess, Dietrich; Hackbusch, Wolfgang
2005
The numerical evaluation of particular solutions for Poisson’s equation. Zbl 0576.65114
Atkinson, K. E.
1985
Conforming and divergence-free Stokes elements in three dimensions. Zbl 1305.76056
Guzmán, Johnny; Neilan, Michael
2014
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs. Zbl 07524707
Mishra, Siddhartha; Molinaro, Roberto
2022
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 1493.65168
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
2022
Simulation of McKean-Vlasov SDEs with super-linear growth. Zbl 1481.65020
dos Reis, Gonçalo; Engelhardt, Stefan; Smith, Greig
2022
The time-fractional Cahn-Hilliard equation: analysis and approximation. Zbl 1497.65158
2022
Consistency, convergence and error estimates for a mixed finite element-finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data. Zbl 07465494
Kwon, Young-Sam; Novotný, Antonín
2022
Automatic rational approximation and linearization of nonlinear eigenvalue problems. Zbl 07524710
Lietaert, Pieter; Meerbergen, Karl; Pérez, Javier; Vandereycken, Bart
2022
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. Zbl 07465508
Frerichs, Derk; Merdon, Christian
2022
A posteriori error estimates with boundary correction for a cut finite element method. Zbl 07465500
Burman, Erik; He, Cuiyu; Larson, Mats G.
2022
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal $$hp$$ approximation estimates in $$\boldsymbol{H}(\operatorname{div})$$. Zbl 07524708
Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin
2022
An HDG method for dissimilar meshes. Zbl 1501.65127
Solano, Manuel; Terrana, Sébastien; Nguyen, Ngoc-Cuong; Peraire, Jaime
2022
Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 1500.65019
Borsos, B.; Karátson, J.
2022
A strong order 3/4 method for SDEs with discontinuous drift coefficient. Zbl 07465497
Müller-Gronbach, Thomas; Yaroslavtseva, Larisa
2022
Consistency analysis of the Grünwald-Letnikov approximation in a bounded domain. Zbl 07563208
Sousa, Ercília
2022
A $$C^1$$-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery. Zbl 1500.65097
Mora, David; Reales, Carlos; Silgado, Alberth
2022
Solving block low-rank linear systems by LU factorization is numerically stable. Zbl 07524706
Higham, Nicholas J.; Mary, Theo
2022
Total velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure. Zbl 07524714
Brenner, K.; Masson, R.; Quenjel, E. H.; Droniou, J.
2022
Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients. Zbl 1501.65109
Dedner, Andreas; Hodson, Alice
2022
The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
2022
Plain convergence of adaptive algorithms without exploiting reliability and efficiency. Zbl 1501.65117
Gantner, Gregor; Praetorius, Dirk
2022
A family of fast fixed point iterations for M/G/1-type Markov chains. Zbl 1498.65056
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2022
A spectral-in-time Newton-Krylov method for nonlinear PDE-constrained optimization. Zbl 07524722
Güttel, Stefan; Pearson, John W.
2022
A posteriori error estimation and space-time adaptivity for a linear stochastic PDE with additive noise. Zbl 07524724
Majee, Ananta K.; Prohl, Andreas
2022
Semirobust analysis of an H(div)-conforming DG method with semi-implicit time-marching for the evolutionary incompressible Navier-Stokes equations. Zbl 07524725
Han, Yongbin; Hou, Yanren
2022
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature. Zbl 07465490
Banjai, Lehel; Lubich, Christian; Nick, Jörg
2022
Galerkin approximation of linear problems in Banach and Hilbert spaces. Zbl 07465495
Arendt, W.; Chalendar, I.; Eymard, R.
2022
Space-time discretization for nonlinear parabolic systems with $$p$$-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
2022
Error estimates for fully discrete BDF finite element approximations of the Allen-Cahn equation. Zbl 07465501
2022
Wavelet-based approximations of pointwise bound constraints in Lebesgue and Sobolev spaces. Zbl 07465503
Dahlke, S.; Surowiec, T. M.
2022
A convergent finite element scheme for a fourth-order liquid crystal model. Zbl 07465504
Metzger, Stefan
2022
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. Zbl 1493.65157
Li, Yuwen; Zikatanov, Ludmil T.
2022
Log orthogonal functions: approximation properties and applications. Zbl 1481.65037
Chen, Sheng; Shen, Jie
2022
Error bounds for overdetermined and underdetermined generalized centred simplex gradients. Zbl 1481.65057
Hare, Warren; Jarry-Bolduc, Gabriel; Planiden, Chayne
2022
A variational approach to the sum splitting scheme. Zbl 1481.65079
Eisenmann, Monika; Hansen, Eskil
2022
Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints. Zbl 07563184
Bartels, Sören; Palus, Christian
2022
An HDG method for the Steklov eigenvalue problem. Zbl 07563185
Monk, Peter; Zhang, Yangwen
2022
Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230
Hochbruck, Marlis; Maier, Bernhard
2022
Uniform error estimates for artificial neural network approximations for heat equations. Zbl 1502.65171
Gonon, Lukas; Grohs, Philipp; Jentzen, Arnulf; Kofler, David; Šiška, David
2022
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions. Zbl 1502.65264
Grohs, Philipp; Herrmann, Lukas
2022
Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 1502.65130
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2022
Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise. Zbl 1502.65127
Kang, Wenyan; Egwu, Bernard A.; Yan, Yubin; Pani, Amiya K.
2022
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. Zbl 1502.65147
von Wahl, Henry; Richter, Thomas; Lehrenfeld, Christoph
2022
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. Zbl 07563204
Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming
2022
An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures. Zbl 07563209
Jiang, Xue; Li, Peijun; Lv, Junliang; Wang, Zhoufeng; Wu, Haijun; Zheng, Weiying
2022
The dual inverse scaling and squaring algorithm for the matrix logarithm. Zbl 07563210
Fasi, Massimiliano; Iannazzo, Bruno
2022
An $$L^p$$ spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. Zbl 07607695
Gatica, Gabriel N.; Meddahi, Salim; Ruiz-Baier, Ricardo
2022
A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem. Zbl 1502.65182
Wang, Gang; Meng, Jian; Wang, Ying; Mei, Liquan
2022
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. Zbl 1461.65242
Stevenson, Rob; Westerdiep, Jan
2021
Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. Zbl 07528285
Zheng, Xiangcheng; Wang, Hong
2021
On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators. Zbl 1464.65075
Ranocha, Hendrik
2021
Blow-up of error estimates in time-fractional initial-boundary value problems. Zbl 07528268
Chen, Hu; Stynes, Martin
2021
Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 1460.65145
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
2021
Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099
Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid
2021
Adaptive cubic regularization methods with dynamic inexact Hessian information and applications to finite-sum minimization. Zbl 1460.65076
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta
2021
Strong error analysis for stochastic gradient descent optimization algorithms. Zbl 1460.65071
Jentzen, Arnulf; Kuckuck, Benno; Neufeld, Ariel; von Wurstemberger, Philippe
2021
Anderson acceleration for contractive and noncontractive operators. Zbl 07528322
Pollock, Sara; Rebholz, Leo G.
2021
$$hp$$-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
2021
Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. Zbl 1460.65054
Cox, Sonja; Hutzenthaler, Martin; Jentzen, Arnulf; van Neerven, Jan; Welti, Timo
2021
Trace finite element methods for surface vector-Laplace equations. Zbl 1466.65192
Jankuhn, Thomas; Reusken, Arnold
2021
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model. Zbl 1460.65104
Cancès, Clément; Chainais-Hillairet, Claire; Fuhrmann, Jürgen; Gaudeul, Benoît
2021
Bridging the hybrid high-order and virtual element methods. Zbl 1460.65148
Lemaire, Simon
2021
Finite element error analysis of wave equations with dynamic boundary conditions: $$L^2$$ estimates. Zbl 1460.65120
Hipp, David; Kovács, Balázs
2021
Trace operators of the bi-Laplacian and applications. Zbl 1501.65116
Führer, Thomas; Haberl, Alexander; Heuer, Norbert
2021
The Euler-Maruyama scheme for SDEs with irregular drift: convergence rates via reduction to a quadrature problem. Zbl 07528274
Neuenkirch, Andreas; Szölgyenyi, Michaela
2021
A unified theory for continuous-in-time evolving finite element space approximations to partial differential equations in evolving domains. Zbl 07528292
Elliott, C. M.; Ranner, T.
2021
An energy-stable parametric finite element method for simulating solid-state dewetting. Zbl 07528298
Zhao, Quan; Jiang, Wei; Bao, Weizhu
2021
A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations. Zbl 07528318
Caucao, Sergio; Yotov, Ivan
2021
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. Zbl 1460.65138
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
2021
Multivariate approximation of functions on irregular domains by weighted least-squares methods. Zbl 07528278
Migliorati, Giovanni
2021
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions. Zbl 07528288
Hong, Jialin; Huang, Chuying; Wang, Xu
2021
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. Zbl 07528299
Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
2021
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 1501.65151
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
2021
Accurately computing the log-sum-exp and softmax functions. Zbl 07528305
Blanchard, Pierre; Higham, Desmond J.; Higham, Nicholas J.
2021
Analysis of an interior penalty DG method for the quad-curl problem. Zbl 07528327
Chen, Gang; Qiu, Weifeng; Xu, Liwei
2021
Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier-Stokes equations. Zbl 07528330
Ahmed, Naveed; Matthies, Gunar
2021
Optimal error estimates and recovery technique of a mixed finite element method for nonlinear thermistor equations. Zbl 07528332
Gao, Huadong; Sun, Weiwei; Wu, Chengda
2021
Analysis of limited-memory BFGS on a class of nonsmooth convex functions. Zbl 1464.65060
Asl, Azam; Overton, Michael L.
2021
A log-barrier Newton-CG method for bound constrained optimization with complexity guarantees. Zbl 1464.65067
O&rsquo;Neill, Michael; Wright, Stephen J.
2021
Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108
Maltese, David; Novotný, Antonín
2021
Contour integrals of analytic functions given on a grid in the complex plane. Zbl 07528264
Fornberg, Bengt
2021
A convergent FV-FE scheme for the stationary compressible Navier-Stokes equations. Zbl 07528265
Perrin, Charlotte; Saleh, Khaled
2021
Backward differentiation formula finite difference schemes for diffusion equations with an obstacle term. Zbl 1501.65027
Bokanowski, Olivier; Debrabant, Kristian
2021
Randomized sketch descent methods for non-separable linearly constrained optimization. Zbl 07528271
Necoara, Ion; Takáč, Martin
2021
Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier-Stokes equations. Zbl 07528272
García-Archilla, Bosco; John, Volker; Novo, Julia
2021
Discontinuous Galerkin finite element methods for the Landau-de Gennes minimization problem of liquid crystals. Zbl 1501.65123
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela
2021
A high-frequency boundary element method for scattering by a class of multiple obstacles. Zbl 07528275
Gibbs, Andrew; Chandler-Wilde, Simon N.; Langdon, Stephen; Moiola, Andrea
2021
Variational integrators for stochastic dissipative Hamiltonian systems. Zbl 07528279
Kraus, Michael; Tyranowski, Tomasz M.
2021
Hermite interpolation on the unit sphere and limits of Lagrange projectors. Zbl 1497.65021
Manh, Phung Van
2021
Conforming and nonconforming virtual element methods for a Kirchhoff plate contact problem. Zbl 07528284
Wang, Fei; Zhao, Jikun
2021
A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290
Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert
2021
Quantitative stability and error estimates for optimal transport plans. Zbl 07528295
Li, Wenbo; Nochetto, Ricardo H.
2021
Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. Zbl 07528297
Khan, Arbaz; Silvester, David J.
2021
Numerical analysis for nematic electrolytes. Zbl 07528302
Baňas, Ľubomír; Lasarzik, Robert; Prohl, Andreas
2021
Post-processing of the plane-wave approximation of Schrödinger equations. II: Kohn-Sham models. Zbl 07528310
Dusson, Geneviève
2021
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation. Zbl 07528316
Engel, Sebastian; Vexler, Boris; Trautmann, Philip
2021
A second-order discretization for degenerate systems of stochastic differential equations. Zbl 07528320
2021
Strong approximation of monotone stochastic partial differential equations driven by white noise. Zbl 1464.65148
Liu, Zhihui; Qiao, Zhonghua
2020
Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids. Zbl 1464.65131
Süli, Endre; Tscherpel, Tabea
2020
Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. Zbl 1466.65161
Jentzen, Arnulf; Pušnik, Primož
2020
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. Zbl 1466.65197
Mora, David; Rivera, Gonzalo
2020
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
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### Cited by 16,653 Authors

 203 Simos, Theodore E. 103 Dehghan Takht Fooladi, Mehdi 81 Shi, Dongyang 74 Gatica, Gabriel N. 66 He, Yinnian 62 Argyros, Ioannis Konstantinos 59 Zhang, Guofeng 58 Huang, Yunqing 53 Xiang, Shuhuang 53 Xu, Da 52 Li, Jichun 51 Carstensen, Carsten 48 Praetorius, Dirk 48 Reichel, Lothar 47 Chen, Yanping 47 Ern, Alexandre 46 Huang, Chengming 46 Wu, Xinyuan 43 Sayas, Francisco-Javier 42 Stynes, Martin 42 Wang, Song 41 Di Pietro, Daniele Antonio 41 Iserles, Arieh 41 Ma, Changfeng 40 Burman, Erik 40 Li, Buyang 40 Schwab, Christoph 40 Zhang, Zhimin 39 Dai, Yu-Hong 39 Droniou, Jérôme 39 Ruiz-Baier, Ricardo 38 Vohralík, Martin 37 Zhang, Chengjian 36 Eymard, Robert 36 Mora, David 36 Pani, Amiya Kumar 34 Antonietti, Paola Francesca 34 Babaie-Kafaki, Saman 34 Manzini, Gianmarco 33 Beirão da Veiga, Lourenço 33 Heuer, Norbert 33 Zhang, Shangyou 32 Barrett, John William 32 Chung, Tsz Shun Eric 32 He, Xiaoming 32 Liang, Zhaozheng 32 Melenk, Jens Markus 32 Oyarzúa, Ricardo 32 Wang, Wansheng 31 Bai, Zhongzhi 31 Benner, Peter 31 Cockburn, Bernardo 31 Feng, Xinlong 31 Mao, Shipeng 31 Martínez, José Mario 31 Olshanskii, Maxim A. 30 Alolyan, Ibraheem 29 Chen, Shaochun 29 Jentzen, Arnulf 29 Nicaise, Serge 29 Sanz-Serna, Jesús María 29 Wang, Cheng 28 Brunner, Hermann 28 Li, Donghui 28 Nelakanti, Gnaneshwar 28 Toint, Philippe L. 27 Elliott, Charles M. 27 Li, Chong 27 Lin, Yanping 27 Serra-Capizzano, Stefano 27 Yuan, Gonglin 26 Fang, Yonglei 26 Forsyth, Peter A. 26 Führer, Thomas 26 Georgoulis, Emmanuil H. 26 Gracia, José Luis 26 Guo, Ben-Yu 26 Hansbo, Peter 26 Herbin, Raphaèle 26 Karlsen, Kenneth Hvistendahl 26 Larson, Mats G. 26 Liu, Hongwei 26 Paternoster, Beatrice 26 Verani, Marco 26 Wu, Yujiang 25 Abbaszadeh, Mostafa 25 Cao, Yang 25 Clavero, Carmelo 25 Ganesh, Mahadevan 25 George, Santhosh 25 Han, Weimin 25 Harbrecht, Helmut 25 Jin, Bangti 25 Kadalbajoo, Mohan K. 25 Lubich, Christian 25 Nochetto, Ricardo Horacio 25 Otárola, Enrique 25 Wei, Zengxin 25 Wu, Zongmin 24 Ford, Neville J. ...and 16,553 more Authors
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 1,449 Journal of Computational and Applied Mathematics 914 Applied Mathematics and Computation 764 Computers & Mathematics with Applications 763 Applied Numerical Mathematics 636 Journal of Computational Physics 605 Journal of Scientific Computing 526 Numerische Mathematik 509 Computer Methods in Applied Mechanics and Engineering 509 Numerical Algorithms 464 Mathematics of Computation 353 International Journal of Computer Mathematics 350 SIAM Journal on Scientific Computing 339 SIAM Journal on Numerical Analysis 277 BIT 242 Advances in Computational Mathematics 234 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 201 Linear Algebra and its Applications 179 Calcolo 179 Numerical Methods for Partial Differential Equations 176 Computational Optimization and Applications 171 Computational and Applied Mathematics 160 Journal of Mathematical Analysis and Applications 156 Engineering Analysis with Boundary Elements 151 Applied Mathematics Letters 148 Journal of Mathematical Chemistry 140 Journal of Optimization Theory and Applications 120 Mathematics and Computers in Simulation 117 Numerical Functional Analysis and Optimization 117 Optimization Methods & Software 108 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 107 Computational Methods in Applied Mathematics 102 Mathematical Problems in Engineering 99 Mathematical Programming. Series A. Series B 92 Computing 90 Applied Mathematical Modelling 90 Journal of Applied Mathematics and Computing 84 SIAM Journal on Matrix Analysis and Applications 80 Journal of Approximation Theory 80 Computer Aided Geometric Design 80 Foundations of Computational Mathematics 77 SIAM Journal on Optimization 76 Journal of Integral Equations and Applications 76 Abstract and Applied Analysis 73 Numerical Linear Algebra with Applications 68 Optimization 68 Communications in Nonlinear Science and Numerical Simulation 67 International Journal for Numerical Methods in Engineering 65 Computers and Fluids 63 Applicable Analysis 59 Mathematical and Computer Modelling 57 Optimization Letters 57 Advances in Applied Mathematics and Mechanics 52 Mathematical Methods in the Applied Sciences 51 Journal of Numerical Mathematics 51 Science China. Mathematics 50 Journal of Inequalities and Applications 50 Communications in Computational Physics 49 Journal of Complexity 47 Journal of Global Optimization 47 Advances in Difference Equations 45 East Asian Journal on Applied Mathematics 44 Constructive Approximation 44 International Journal of Numerical Analysis and Modeling 43 Journal of Differential Equations 43 Discrete and Continuous Dynamical Systems. Series B 43 Comptes Rendus. Mathématique. Académie des Sciences, Paris 42 Physica D 41 Computer Physics Communications 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Multiscale Modeling & Simulation 40 International Journal for Numerical Methods in Fluids 40 Japan Journal of Industrial and Applied Mathematics 40 SIAM/ASA Journal on Uncertainty Quantification 39 Applications of Mathematics 37 Computational Mechanics 37 Computational Geosciences 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 33 Discrete and Continuous Dynamical Systems 33 Journal of Industrial and Management Optimization 33 Communications on Applied Mathematics and Computation 32 Inverse Problems 32 RAIRO. Modélisation Mathématique et Analyse Numérique 31 Journal of Engineering Mathematics 31 ETNA. Electronic Transactions on Numerical Analysis 31 Journal of Applied Mathematics 30 Applied Mathematics and Optimization 29 Acta Mathematicae Applicatae Sinica. English Series 29 AIMS Mathematics 28 Mediterranean Journal of Mathematics 27 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 27 Discrete and Continuous Dynamical Systems. Series S 26 Applied and Computational Harmonic Analysis 26 Fractional Calculus & Applied Analysis 26 SIAM Journal on Imaging Sciences 26 International Journal of Applied and Computational Mathematics 25 Journal of Nonlinear Science 25 Applied Mathematics. Series B (English Edition) 25 Communications in Numerical Methods in Engineering 25 Journal of Inverse and Ill-Posed Problems 25 S$$\vec{\text{e}}$$MA Journal ...and 619 more Journals
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### Cited in 59 Fields

 14,428 Numerical analysis (65-XX) 5,375 Partial differential equations (35-XX) 2,291 Fluid mechanics (76-XX) 1,838 Operations research, mathematical programming (90-XX) 1,543 Ordinary differential equations (34-XX) 998 Integral equations (45-XX) 965 Approximations and expansions (41-XX) 938 Mechanics of deformable solids (74-XX) 848 Calculus of variations and optimal control; optimization (49-XX) 770 Probability theory and stochastic processes (60-XX) 655 Linear and multilinear algebra; matrix theory (15-XX) 511 Operator theory (47-XX) 440 Biology and other natural sciences (92-XX) 418 Optics, electromagnetic theory (78-XX) 414 Dynamical systems and ergodic theory (37-XX) 385 Statistics (62-XX) 385 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 355 Computer science (68-XX) 306 Real functions (26-XX) 306 Systems theory; control (93-XX) 293 Statistical mechanics, structure of matter (82-XX) 227 Classical thermodynamics, heat transfer (80-XX) 211 Harmonic analysis on Euclidean spaces (42-XX) 190 Information and communication theory, circuits (94-XX) 189 Quantum theory (81-XX) 167 Special functions (33-XX) 158 Mechanics of particles and systems (70-XX) 144 Geophysics (86-XX) 134 Global analysis, analysis on manifolds (58-XX) 114 Functional analysis (46-XX) 114 Differential geometry (53-XX) 109 Functions of a complex variable (30-XX) 86 Integral transforms, operational calculus (44-XX) 71 Difference and functional equations (39-XX) 68 Potential theory (31-XX) 38 Combinatorics (05-XX) 38 Number theory (11-XX) 31 History and biography (01-XX) 22 General and overarching topics; collections (00-XX) 20 Measure and integration (28-XX) 20 Convex and discrete geometry (52-XX) 17 Topological groups, Lie groups (22-XX) 16 Sequences, series, summability (40-XX) 15 Algebraic geometry (14-XX) 13 Field theory and polynomials (12-XX) 12 Several complex variables and analytic spaces (32-XX) 12 General topology (54-XX) 11 Astronomy and astrophysics (85-XX) 10 Geometry (51-XX) 9 Commutative algebra (13-XX) 9 Relativity and gravitational theory (83-XX) 7 Manifolds and cell complexes (57-XX) 6 Abstract harmonic analysis (43-XX) 4 Mathematical logic and foundations (03-XX) 4 Nonassociative rings and algebras (17-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Group theory and generalizations (20-XX) 2 Associative rings and algebras (16-XX)