## Mathematics of Computation

 Short Title: Math. Comput. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 0025-5718; 1088-6842/e Online: https://www.ams.org/journals/mcom/all_issues.html Predecessor: Mathematical Tables and other Aids to Computation Comments: Indexed cover-to-cover
 Documents Indexed: 6,404 Publications (since 1960) References Indexed: 4,739 Publications with 92,223 References.
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### Authors

 62 Williams, Hugh Cowie 48 Bramble, James H. 39 Cockburn, Bernardo 38 Pasciak, Joseph E. 35 Shanks, Daniel C. 34 Sloan, Ian Hugh 32 Lyness, James N. 29 Thomée, Vidar 29 Xu, Jinchao 26 Gautschi, Walter 25 Pohst, Michael E. 25 Schatz, Alfred H. 23 Brent, Richard Peirce 22 Wahlbin, Lars B. 21 Pomerance, Carl Bernard 20 Brillhart, John 20 Shparlinski, Igor E. 20 te Riele, Herman 19 Carstensen, Carsten 19 Rabinowitz, Philip 19 Sidi, Avram 19 Wagstaff, Samuel Standfield jun. 18 Nochetto, Ricardo Horacio 17 Cohn, Harvey 17 Niederreiter, Harald 17 Zhang, Zhimin 16 Brenner, Susanne Cecelia 16 Dupont, Todd F. 16 Osher, Stanley Joel 16 Stevenson, Rob P. 16 Winther, Ragnar 15 Babuška, Ivo 15 Chui, Charles Kam-tai 15 Falk, Richard S. 15 Fettis, Henry E. 15 Lehmer, Derrick Henry 15 Lubich, Christian 14 Borwein, Peter Benjamin 14 Boyd, David William 14 Buchmann, Johannes A. 14 Crandall, Richard E. 14 Guzmán, Johnny 14 Luke, Yudell L. 14 Salzer, Herbert E. 14 Sayas, Francisco-Javier 14 Shu, Chi-Wang 14 Woźniakowski, Henryk 13 Cody, William J. jun. 13 Golub, Gene Howard 13 Hagis, Peter jun. 13 Liu, Jianguo 13 Makridakis, Charalambos G. 13 Stroud, Arthur H. 13 Ward, Joseph Dinneen 12 Bartels, Sören 12 Brunner, Hermann 12 Douglas, Jim jun. 12 Johnson, Claes G. L. 12 Kuo, Frances Y. 12 Mastroianni, Giuseppe 12 Monegato, Giovanni 12 Schwab, Christoph 12 Scott, Larkin Ridgway 12 Selfridge, John L. 12 Stynes, Martin 12 Tadmor, Eitan 12 Wasilkowski, Grzegorz W. 11 Arnold, Douglas Norman 11 Cohen, Henri 11 Dougalis, Vassilios A. 11 Dubner, Harvey 11 Durán, Ricardo G. 11 Eichenauer-Herrmann, Jürgen 11 Iserles, Arieh 11 Kellogg, Bruce 11 Parlett, Beresford Neill 11 Rodríguez, Rodolfo 11 Stewart, Gilbert Wright 11 Swartz, Blair K. 11 Zhang, Shangyou 11 Zhang, Zhenxiang 10 Akrivis, Georgios D. 10 Bailey, David Harold 10 Butcher, John C. 10 Carlson, Bille Chandler 10 Cohen, Graeme L. 10 Erdős, Pál 10 Gottlieb, David I. 10 Guo, Ben-Yu 10 Hare, Kevin G. 10 Hudson, Richard H. 10 Karakashian, Ohannes A. 10 Ling, Chih-Bing 10 Metsänkylä, Tauno 10 Newbery, A. C. R. 10 O’Riordan, Eugene 10 Sauter, Stefan A. 10 Shampine, Lawrence Fred 10 Süli, Endre E. 10 Wang, Junping ...and 5,685 more Authors
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### Fields

 3,432 Numerical analysis (65-XX) 1,767 Number theory (11-XX) 1,197 Partial differential equations (35-XX) 623 Approximations and expansions (41-XX) 316 Special functions (33-XX) 299 Fluid mechanics (76-XX) 268 Computer science (68-XX) 262 Ordinary differential equations (34-XX) 238 Algebraic geometry (14-XX) 178 Field theory and polynomials (12-XX) 174 Linear and multilinear algebra; matrix theory (15-XX) 168 Harmonic analysis on Euclidean spaces (42-XX) 159 Functions of a complex variable (30-XX) 157 Combinatorics (05-XX) 142 Integral equations (45-XX) 129 Group theory and generalizations (20-XX) 115 Operations research, mathematical programming (90-XX) 114 Mechanics of deformable solids (74-XX) 110 Information and communication theory, circuits (94-XX) 99 Operator theory (47-XX) 91 Probability theory and stochastic processes (60-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 82 Real functions (26-XX) 79 Optics, electromagnetic theory (78-XX) 66 Commutative algebra (13-XX) 64 Dynamical systems and ergodic theory (37-XX) 60 Sequences, series, summability (40-XX) 46 Statistics (62-XX) 42 Difference and functional equations (39-XX) 41 Convex and discrete geometry (52-XX) 39 Integral transforms, operational calculus (44-XX) 35 Functional analysis (46-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Geometry (51-XX) 28 Global analysis, analysis on manifolds (58-XX) 28 Quantum theory (81-XX) 24 Associative rings and algebras (16-XX) 21 Potential theory (31-XX) 19 Mechanics of particles and systems (70-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Manifolds and cell complexes (57-XX) 17 Differential geometry (53-XX) 16 Systems theory; control (93-XX) 13 Biology and other natural sciences (92-XX) 11 Nonassociative rings and algebras (17-XX) 11 Algebraic topology (55-XX) 9 History and biography (01-XX) 9 Mathematical logic and foundations (03-XX) 8 $$K$$-theory (19-XX) 8 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Geophysics (86-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Relativity and gravitational theory (83-XX)

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5,675 Publications have been cited 90,277 times in 54,496 Documents Cited by Year
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1989
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
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1990
Surfaces generated by moving least squares methods. Zbl 0469.41005
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The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV: The multidimensional case. Zbl 0695.65066
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Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
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1998
Multi-level adaptive solutions to boundary-value problems. Zbl 0373.65054
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1977
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
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1977
An algorithm for the machine calculation of complex Fourier series. Zbl 0127.09002
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1965
Scattered data interpolation: Tests of some methods. Zbl 0476.65005
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1982
Calculation of Gauss quadrature rules. Zbl 0179.21901
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1969
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020
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1977
A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058
Tian, Wenyi; Zhou, Han; Deng, Weihua
2015
A class of methods for solving nonlinear simultaneous equations. Zbl 0131.13905
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Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
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1985
A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202
Wang, Junping; Ye, Xiu
2014
Elliptic curve cryptosystems. Zbl 0622.94015
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1987
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
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1980
A family of variable-metric methods derived by variational means. Zbl 0196.18002
Goldfarb, D.
1970
A generalized discrepancy and quadrature error bound. Zbl 0889.41025
Hickernell, Fred J.
1998
Conditioning of quasi-Newton methods for function minimization. Zbl 0225.65073
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1971
Implicit Runge-Kutta processes. Zbl 0123.11701
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1964
A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042
Dennis, J. E. jun.; More, Jorge J.
1974
Analysis of some difference approximations for a singular perturbation problem without turning points. Zbl 0418.65040
Kellogg, R. Bruce; Tsan, Alice
1978
Approximation results for orthogonal polynomials in Sobolev spaces. Zbl 0567.41008
Canuto, C.; Quarteroni, A.
1982
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
1985
On some inequalities for the gamma and psi functions. Zbl 0854.33001
Alzer, Horst
1997
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
2005
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Zbl 0618.65105
Johnson, C.; Pitkäranta, J.
1986
Multivariate interpolation and conditionally positive definite functions. II. Zbl 0859.41004
Madych, W. R.; Nelson, S. A.
1990
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Zbl 0922.65071
Hou, Thomas Y.; Wu, Xiao-Hui; Cai, Zhiqiang
1999
On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103
Chorin, A. J.
1969
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
2006
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
Extensions and applications of the Householder algorithm for solving linear least squares problems. Zbl 0185.40701
Hanson, R. J.; Lawson, C. L.
1969
An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Zbl 0321.65059
Schatz, Alfred H.
1974
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
2001
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
1984
Upwind difference schemes for hyperbolic systems of conservation laws. Zbl 0483.65055
Osher, Stanley; Solomon, Fred
1982
Localization of elliptic multiscale problems. Zbl 1301.65123
Målqvist, Axel; Peterseim, Daniel
2014
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
Accelerated overrelaxation method. Zbl 0382.65015
Hadjidimos, Apostolos
1978
Spectral approximation for compact operators. Zbl 0315.35068
Osborn, John E.
1975
The completion of locally refined simplicial partitions created by bisection. Zbl 1131.65095
Stevenson, Rob
2008
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
1986
Finite element methods for elliptic equations using nonconforming elements. Zbl 0364.65085
Baker, Garth A.
1977
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
1982
Convolution quadrature time discretization of fractional diffusion-wave equations. Zbl 1090.65147
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar
2006
The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Zbl 0641.65068
Tadmor, Eitan
1987
A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Zbl 1017.65088
Chen, Zhiming; Hou, Thomas Y.
2003
On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics. Zbl 0731.76094
Gunzburger, Max D.; Meir, Amnon J.; Peterson, Janet S.
1991
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2005
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
Some fourth order multipoint iterative methods for solving equations. Zbl 0229.65049
Jarratt, P.
1966
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1990
TVB uniformly high-order schemes for conservation laws. Zbl 0628.65075
Shu, Chiwang
1987
On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations. Zbl 0309.65034
Prothero, A.; Robinson, A.
1974
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
Saad, Y.
1981
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2007
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
1974
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Zbl 1207.65157
Chen, Yanping; Tang, Tao
2010
A posteriori error estimate for the mixed finite element method. Zbl 0864.65068
Carstensen, Carsten
1997
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
Stability theory of difference approximations for mixed initial boundary value problems. II. Zbl 0293.65076
Gustafsson, Bertil; Kreiss, Heinz-Otto; Sundström, Arne
1972
Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Zbl 0345.65021
Daniel, J. W.; Gragg, W. B.; Kaufman, Linda; Stewart, G. W.
1976
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
2001
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Zbl 1198.65193
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny
2008
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Zbl 1198.65186
Lubich, Christian
2008
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
1980
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Zbl 1096.65082
Castro, Manuel; Gallardo, José M.; Parés, Carlos
2006
A projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
Generalized Jacobi functions and their applications to fractional differential equations. Zbl 1335.65066
Chen, Sheng; Shen, Jie; Wang, Li-Lian
2016
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
Interior estimates for Ritz-Galerkin methods. Zbl 0298.65071
Nitsche, Joachim A.; Schatz, Alfred H.
1974
The finite element method with penalty. Zbl 0299.65057
Babuška, Ivo
1973
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. Zbl 0852.65138
Lubich, Ch.; Sloan, I. H.; Thomée, V.
1996
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
1977
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
1974
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
1981
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
2005
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
1988
Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Zbl 1122.65049
La Cruz, William; Martínez, José Mario; Raydan, Marcos
2006
Quasi-Newton methods and their application to function minimisation. Zbl 0155.46704
Broyden, C. G.
1967
Elliptic curves over finite fields and the computation of square roots mod p. Zbl 0579.14025
Schoof, René
1985
Speeding the Pollard and elliptic curve methods of factorization. Zbl 0608.10005
Montgomery, Peter L.
1987
An algebraic theory of integration methods. Zbl 0258.65070
Butcher, J. C.
1972
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
2000
On the coupling of boundary integral and finite element methods. Zbl 0451.65083
Johnson, Claes; Nedelec, J. Claude
1980
Optimal a priori error estimates for the $$hp$$-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111
Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph
2002
Iteration methods for finding all zeros of a polynomial simultaneously. Zbl 0282.65037
Aberth, Oliver
1973
Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations. Zbl 0482.65013
Levin, David
1982
The approximation power of moving least-squares. Zbl 0911.41016
Levin, David
1998
Meshless Galerkin methods using radial basis functions. Zbl 1020.65084
Wendland, Holger
1999
Factoring polynomials over large finite fields. Zbl 0247.12014
Berlekamp, E. R.
1971
The convergence rate for difference approximations to mixed initial boundary value problems. Zbl 0313.65085
Gustafsson, Bertil
1975
Modular multiplication without trial division. Zbl 0559.10006
Montgomery, Peter L.
1985
Decoupled schemes for a non-stationary mixed Stokes-Darcy model. Zbl 1369.76026
Mu, Mo; Zhu, Xiaohong
2010
Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064
Bramble, James H.; Schatz, Alfred H.
1977
Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1978
Decay rates for inverses of band matrices. Zbl 0568.15003
Demko, Stephen; Moss, William F.; Smith, Philip W.
1984
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. Zbl 1479.35625
Li, Xiaoli; Shen, Jie; Liu, Zhengguang
2022
$$hp$$-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Zbl 1484.65295
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.
2022
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
2022
Finite elements for $$\operatorname{div}\operatorname{div}$$ conforming symmetric tensors in three dimensions. Zbl 07506845
Chen, Long; Huang, Xuehai
2022
Accuracy controlled data assimilation for parabolic problems. Zbl 1483.35335
Dahmen, Wolfgang; Stevenson, Rob; Westerdiep, Jan
2022
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity. Zbl 07473345
Bao, Weizhu; Feng, Yue; Su, Chunmei
2022
A first-order Fourier integrator for the nonlinear Schrödinger equation on $$\mathbb{T}$$ without loss of regularity. Zbl 07506848
Wu, Yifei; Yao, Fangyan
2022
Certified dimension reduction in nonlinear Bayesian inverse problems. Zbl 07541892
Zahm, Olivier; Cui, Tiangang; Law, Kody; Spantini, Alessio; Marzouk, Youssef
2022
Multilevel decompositions and norms for negative order Sobolev spaces. Zbl 1483.65196
Führer, Thomas
2022
Counting zeros of Dedekind zeta functions. Zbl 07446417
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie
2022
Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158
Gjerde, Ingeborg G.; Scott, L. Ridgway
2022
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. Zbl 1490.65271
Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre
2022
Convergence analysis of some tent-based schemes for linear hyperbolic systems. Zbl 07473341
Drake, Dow; Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2022
Convergence acceleration of ensemble Kalman inversion in nonlinear settings. Zbl 1486.49049
Chada, Neil K.; Tong, Xin T.
2022
Boosted optimal weighted least-squares. Zbl 07506851
Haberstich, Cécile; Nouy, Anthony; Perrin, Guillaume
2022
A classification of ECM-friendly families of elliptic curves using modular curves. Zbl 07506855
Barbulescu, Razvan; Shinde, Sudarshan
2022
Multiscale scattering in nonlinear Kerr-type media. Zbl 1491.65148
Maier, Roland; Verfürth, Barbara
2022
Full discretization error analysis of exponential integrators for semilinear wave equations. Zbl 07541888
Dörich, Benjamin; Leibold, Jan
2022
A posteriori error analysis for approximations of time-fractional subdiffusion problems. Zbl 07541889
Banjai, Lehel; Makridakis, Charalambos G.
2022
The equilateral small octagon of maximal width. Zbl 07541899
Bingane, Christian; Audet, Charles
2022
Asymptotic expansions of eigenvalues by both the Crouzeix-Raviart and enriched Crouzeix-Raviart elements. Zbl 1479.65029
Hu, Jun; Ma, Limin
2022
Error estimates at low regularity of splitting schemes for NLS. Zbl 1482.65197
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina
2022
On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951
Kaltenbacher, Barbara; Rundell, William
2022
Class numbers and representations by ternary quadratic forms with congruence conditions. Zbl 1485.11080
Bringmann, Kathrin; Kane, Ben
2022
Algorithms for fundamental invariants and equivariants of finite groups. Zbl 07574510
Hubert, Evelyne; Rodriguez Bazan, Erick
2022
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. Zbl 1480.65213
Liu, Chun; Wang, Cheng; Wise, Steven M.; Yue, Xingye; Zhou, Shenggao
2021
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. Zbl 1475.65147
Li, Xiao; Qiao, Zhonghua; Wang, Cheng
2021
Low-regularity integrators for nonlinear Dirac equations. Zbl 1450.35231
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei
2021
Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067
Liao, Hong-Lin; Zhang, Zhimin
2021
Error analysis of an $$L2$$-type method on graded meshes for a fractional-order parabolic problem. Zbl 1452.65237
Kopteva, Natalia
2021
A unified framework of SAGE and SONC polynomials and its duality theory. Zbl 1466.14062
Katthän, Lukas; Naumann, Helen; Theobald, Thorsten
2021
Sharper bounds for the Chebyshev function $$\theta (x)$$. Zbl 1478.11108
Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten
2021
On the continuous time limit of the ensemble Kalman filter. Zbl 1458.60082
Lange, Theresa; Stannat, Wilhelm
2021
Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Zbl 1466.65114
Akrivis, Georgios; Feischl, Michael; Kovács, Balázs; Lubich, Christian
2021
Function integration, reconstruction and approximation using rank-$$1$$ lattices. Zbl 1466.42002
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk
2021
Quadratic points on modular curves with infinite Mordell-Weil group. Zbl 1462.11049
Box, Josha
2021
Inf-sup stability of the trace $$\mathbf{P}_2-P_1$$ Taylor-Hood elements for surface PDEs. Zbl 1486.65261
Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
2021
The error term in the prime number theorem. Zbl 1472.11245
Platt, David J.; Trudgian, Timothy S.
2021
Computing square-free polarized abelian varieties over finite fields. Zbl 1469.11211
Marseglia, Stefano
2021
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
2021
Approximate first-order primal-dual algorithms for saddle point problems. Zbl 1461.65159
Jiang, Fan; Cai, Xingju; Wu, Zhongming; Han, Deren
2021
Conforming discrete gradgrad-complexes in three dimensions. Zbl 1479.65028
Hu, Jun; Liang, Yizhou
2021
Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
2021
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 07356040
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
2021
Analysis of the shifted boundary method for the Poisson problem in domains with corners. Zbl 1472.65140
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
2021
Accurate estimation of sums over zeros of the Riemann zeta-function. Zbl 1480.11103
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S.
2021
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 1452.65359
Sun, Weiwei; Wu, Chengda
2021
Consistency of finite volume approximations to nonlinear hyperbolic balance laws. Zbl 1452.65184
Ben-Artzi, Matania; Li, Jiequan
2021
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097
Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N.
2021
Approximation properties of sum-up rounding in the presence of vanishing constraints. Zbl 1462.49053
Manns, Paul; Kirches, Christian; Lenders, Felix
2021
Counting zeros of Dirichlet $$L$$-functions. Zbl 1475.11148
Bennett, Michael A.; Martin, Greg; O&rsquo;Bryant, Kevin; Rechnitzer, Andrew
2021
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161
Bartels, Sören; Reiter, Philipp
2021
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Zbl 1489.65148
Sun, Zheng; Xing, Yulong
2021
Existence of dynamical low-rank approximations to parabolic problems. Zbl 1482.65136
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André
2021
Rate optimality of adaptive finite element methods with respect to overall computational costs. Zbl 1468.65189
Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan
2021
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M.
2021
Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 07390211
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A.
2021
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix. Zbl 1468.15019
Makuracki, Bartosz; Mróz, Andrzej
2021
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors. Zbl 1456.65164
Li, Yuwen
2021
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. Zbl 1456.65068
Hu, Jingwei; Shu, Ruiwen
2021
Approximation of optimal transport problems with marginal moments constraints. Zbl 1455.49018
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie; Lombardi, Damiano
2021
Unconditional convergence for discretizations of dynamical optimal transport. Zbl 1456.65046
Lavenant, Hugo
2021
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. Zbl 1466.65115
Altmann, R.; Maier, R.; Unger, B.
2021
Uniform convergent expansions of integral transforms. Zbl 1469.41012
López, José L.; Palacios, Pablo; Pagola, Pedro J.
2021
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
2021
Local and global phaseless sampling in real spline spaces. Zbl 1465.94025
Sun, Wenchang
2021
Strengthening the Baillie-PSW primality test. Zbl 1478.11152
Baillie, Robert; Fiori, Andrew; Wagstaff, Samuel S. jun.
2021
A time-space tradeoff for Lehman’s deterministic integer factorization method. Zbl 1472.11313
Hittmeir, Markus
2021
Fast multi-precision computation of some Euler products. Zbl 1468.11249
Ettahri, S.; Ramaré, O.; Surel, L.
2021
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Zbl 1473.35141
Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang
2021
A highly accurate boundary integral method for the elastic obstacle scattering problem. Zbl 1479.65035
Dong, Heping; Lai, Jun; Li, Peijun
2021
A weighted randomized Kaczmarz method for solving linear systems. Zbl 07390218
Steinerberger, Stefan
2021
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations. Zbl 1481.65022
Li, Xiaoyue; Mao, Xuerong; Yang, Hongfu
2021
An exponent one-fifth algorithm for deterministic integer factorisation. Zbl 1472.11311
Harvey, David
2021
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. Zbl 1456.65105
Cancès, Clément; Nabet, Flore; Vohralík, Martin
2021
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Zbl 1456.65016
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H.
2021
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. Zbl 1461.11141
Hare, Kevin G.; Jankauskas, Jonas
2021
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Zbl 1468.14093
Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan
2021
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. Zbl 1480.65355
Hao, Zhaopeng; Li, Huiyuan; Zhang, Zhimin; Zhang, Zhongqiang
2021
Smoothed analysis for the condition number of structured real polynomial systems. Zbl 1482.14062
Ergür, Alperen A.; Paouris, Grigoris; Rojas, J. Maurice
2021
On the construction of multiresolution analyses associated to general subdivision schemes. Zbl 07369108
Kui, Zhiqing; Baccou, Jean; Liandrat, Jacques
2021
Integration in reproducing kernel Hilbert spaces of Gaussian kernels. Zbl 07369109
Karvonen, Toni; Oates, Chris J.; Girolami, Mark
2021
Primes in arithmetic progressions and semidefinite programming. Zbl 1479.11163
Chirre, Andrés; Pereira Júnior, Valdir José; De Laat, David
2021
Totally positive algebraic integers with small trace. Zbl 1469.11483
Wang, Cong; Wu, Jie; Wu, Qiang
2021
Gluing curves of genus 1 and 2 along their 2-torsion. Zbl 1472.14036
Hanselman, Jeroen; Schiavone, Sam; Sijsling, Jeroen
2021
Algorithms for fusion systems with applications to $$p$$-groups of small order. Zbl 1478.20016
Parker, Chris; Semeraro, Jason
2021
Second order monotone finite differences discretization of linear anisotropic differential operators. Zbl 1483.65169
Bonnans, J. Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
2021
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy. Zbl 1485.11118
Gnewuch, Michael; Pasing, Hendrik; Weiß, Christian
2021
Superelliptic curves with many automorphisms and CM Jacobians. Zbl 1477.14051
Obus, Andrew; Shaska, Tanush
2021
Weak discrete maximum principle of finite element methods in convex polyhedra. Zbl 1452.65348
Leykekhman, Dmitriy; Li, Buyang
2021
Pointwise error estimates for $$C^0$$ interior penalty approximation of biharmonic problems. Zbl 1452.65347
Leykekhman, D.
2021
A note on devising HDG+ projections on polyhedral elements. Zbl 1452.65335
Du, Shukai; Sayas, Francisco-Javier
2021
Geometry of error amplification in solving the Prony system with near-colliding nodes. Zbl 1451.65062
Akinshin, Andrey; Goldman, Gil; Yomdin, Yosef
2021
Convergence analysis of quasi-Monte Carlo sampling for quantile and expected shortfall. Zbl 1452.65006
He, Zhijian; Wang, Xiaoqun
2021
A numerical toolkit for multiprojective varieties. Zbl 1451.65065
Hauenstein, Jonathan D.; Leykin, Anton; Rodriguez, Jose Israel; Sottile, Frank
2021
The spectrum of the abelian sandpile model. Zbl 1451.82035
Hough, Robert; Son, Hyojeong
2021
Numerical methods for biomembranes: conforming subdivision methods versus non-conforming PL methods. Zbl 1455.49023
Chen, Jingmin; Yu, Thomas; Brogan, Patrick; Kusner, Robert; Yang, Yilin; Zigerelli, Andrew
2021
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations. Zbl 1456.65115
John, Volker; Knobloch, Petr; Korsmeier, Paul
2021
Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Zbl 1456.65162
Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J.
2021
Corrigendum to: “Convergence of adaptive, discontinuous Galerkin methods”. Zbl 1470.65197
Kreuzer, Christian; Georgoulis, Emmanuil H.
2021
...and 1655 more Documents
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### Cited by 44,326 Authors

 178 Shu, Chi-Wang 167 Dehghan Takht Fooladi, Mehdi 138 He, Yinnian 131 Argyros, Ioannis Konstantinos 125 Huang, Yunqing 119 Chen, Yanping 114 Carstensen, Carsten 110 Zhang, Zhimin 104 Cockburn, Bernardo 96 Schwab, Christoph 95 Gatica, Gabriel N. 95 Reichel, Lothar 90 Zhang, Shangyou 87 Dumbser, Michael 86 Burman, Erik 83 Shparlinski, Igor E. 83 Sloan, Ian Hugh 80 Chung, Tsz Shun Eric 78 Ye, Xiu 77 Stynes, Martin 77 Xu, Jinchao 75 Brenner, Susanne Cecelia 75 Nochetto, Ricardo Horacio 72 Guo, Ben-Yu 71 Li, Jichun 71 Ma, Changfeng 71 Wang, Hong 70 Shi, Dongyang 69 Praetorius, Dirk 63 Shen, Jie 62 Milovanović, Gradimir V. 62 Rebholz, Leo G. 62 Wang, Cheng 61 Demkowicz, Leszek F. 61 Qiu, Jianxian 60 Ern, Alexandre 60 Pan, Victor Yakovlevich 60 Stephan, Ernst Peter 59 Serra-Capizzano, Stefano 58 Farouki, Rida T. 58 Xu, Da 57 Dick, Josef 57 Gunzburger, Max D. 57 Hou, Yanren 56 Brunner, Hermann 56 Feng, Xinlong 56 Nordström, Jan 55 Jackiewicz, Zdzislaw 55 Sidi, Avram 54 Di Pietro, Daniele Antonio 54 Xiang, Shuhuang 53 Chen, Zhangxin 53 Guermond, Jean-Luc 53 Wohlmuth, Barbara I. 53 Xu, Yuesheng 52 Du, Qiang 52 Niederreiter, Harald 52 Repin, Sergeĭ Igorevich 52 Rui, Hongxing 52 Sayas, Francisco-Javier 52 Srivastava, Hari Mohan 52 Vohralík, Martin 51 Axelsson, Axel Owe Holger 51 Babuška, Ivo 51 Bai, Zhongzhi 51 Li, Buyang 51 Pillichshammer, Friedrich 51 Yang, Xiaofeng 50 Bramble, James H. 50 George, Santhosh 50 Huang, Ting-Zhu 50 Hughes, Thomas J. R. 50 Stevenson, Rob P. 50 Zhang, Guofeng 49 Brezinski, Claude 49 Hansbo, Peter 49 Kadalbajoo, Mohan K. 49 Li, Jian 49 Nicaise, Serge 49 Wei, Yimin 49 Woźniakowski, Henryk 48 Gautschi, Walter 48 Lubich, Christian 48 Rodríguez, Rodolfo 48 Yang, Yidu 47 Kuo, Frances Y. 47 Petković, Miodrag S. 47 Pomerance, Carl Bernard 47 Quarteroni, Alfio M. 47 Ruiz-Baier, Ricardo 47 Xie, Hehu 47 Xu, Yan 46 Bultheel, Adhemar François 46 Butcher, John C. 46 Heuer, Norbert 46 Layton, William J. 46 Wang, Junping 45 Abbaszadeh, Mostafa 45 Beirão da Veiga, Lourenço 45 Larson, Mats G. ...and 44,226 more Authors
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### Cited in 1,176 Journals

 3,163 Journal of Computational and Applied Mathematics 3,129 Mathematics of Computation 2,880 Journal of Computational Physics 2,132 Applied Mathematics and Computation 1,914 Computer Methods in Applied Mechanics and Engineering 1,684 Computers & Mathematics with Applications 1,663 Numerische Mathematik 1,613 Applied Numerical Mathematics 1,612 Journal of Scientific Computing 917 Linear Algebra and its Applications 871 Numerical Algorithms 734 Journal of Number Theory 709 SIAM Journal on Scientific Computing 663 Computers and Fluids 649 Journal of Mathematical Analysis and Applications 631 BIT 616 SIAM Journal on Numerical Analysis 454 Advances in Computational Mathematics 449 Journal of Approximation Theory 438 Computing 421 Engineering Analysis with Boundary Elements 391 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 346 Calcolo 344 Journal of Symbolic Computation 341 Numerical Methods for Partial Differential Equations 335 Journal of Complexity 333 International Journal of Computer Mathematics 294 Applied Mathematics Letters 293 Mathematics and Computers in Simulation 266 Applied Mathematical Modelling 257 International Journal for Numerical Methods in Engineering 247 Computer Aided Geometric Design 242 Journal of Algebra 241 Computational and Applied Mathematics 239 Journal of Optimization Theory and Applications 239 Proceedings of the American Mathematical Society 219 Communications in Computational Physics 218 International Journal of Number Theory 211 Computational Mechanics 193 Transactions of the American Mathematical Society 193 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 191 Computational Optimization and Applications 177 Numerical Linear Algebra with Applications 175 Computational Methods in Applied Mathematics 174 Applied and Computational Harmonic Analysis 169 Foundations of Computational Mathematics 164 Finite Fields and their Applications 159 Advances in Applied Mathematics and Mechanics 157 Journal of Fluid Mechanics 157 Journal de Théorie des Nombres de Bordeaux 154 Numerical Functional Analysis and Optimization 154 BIT. Nordisk Tidskrift for Informationsbehandling 153 Mathematical Problems in Engineering 152 The Ramanujan Journal 148 Discrete Mathematics 146 International Journal for Numerical Methods in Fluids 146 RAIRO. Modélisation Mathématique et Analyse Numérique 145 SIAM Journal on Matrix Analysis and Applications 143 Theoretical Computer Science 141 Journal of Applied Mathematics and Computing 137 Mathematical Methods in the Applied Sciences 137 Constructive Approximation 136 Experimental Mathematics 135 Science China. Mathematics 133 Mathematical and Computer Modelling 129 Journal of Differential Equations 129 Abstract and Applied Analysis 124 Rocky Mountain Journal of Mathematics 124 Journal of Inequalities and Applications 123 Journal of Integral Equations and Applications 123 Japan Journal of Industrial and Applied Mathematics 123 Designs, Codes and Cryptography 123 Multiscale Modeling & Simulation 120 Advances in Difference Equations 118 Computational Geosciences 117 Bulletin of the Australian Mathematical Society 117 Comptes Rendus. Mathématique. Académie des Sciences, Paris 112 Physica D 109 Applicable Analysis 109 Mathematical Programming. Series A. Series B 107 Communications in Numerical Methods in Engineering 104 Journal of Mathematical Sciences (New York) 103 Applied Mathematics and Mechanics. (English Edition) 102 LMS Journal of Computation and Mathematics 101 Communications in Nonlinear Science and Numerical Simulation 100 Applications of Mathematics 99 Journal of Numerical Mathematics 97 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 90 Journal of Combinatorial Theory. Series A 89 Computer Physics Communications 87 Advances in Mathematics 87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 84 Inverse Problems 83 Archive for Rational Mechanics and Analysis 83 Acta Arithmetica 82 Applicable Algebra in Engineering, Communication and Computing 82 International Journal of Numerical Analysis and Modeling 81 Automatica 81 Mathematical Programming 80 Monatshefte für Mathematik ...and 1,076 more Journals
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### Cited in 63 Fields

 33,249 Numerical analysis (65-XX) 12,643 Partial differential equations (35-XX) 8,197 Fluid mechanics (76-XX) 6,352 Number theory (11-XX) 3,377 Approximations and expansions (41-XX) 3,121 Mechanics of deformable solids (74-XX) 2,570 Ordinary differential equations (34-XX) 2,315 Operations research, mathematical programming (90-XX) 2,249 Computer science (68-XX) 2,013 Linear and multilinear algebra; matrix theory (15-XX) 1,720 Calculus of variations and optimal control; optimization (49-XX) 1,632 Special functions (33-XX) 1,632 Information and communication theory, circuits (94-XX) 1,557 Integral equations (45-XX) 1,551 Probability theory and stochastic processes (60-XX) 1,382 Algebraic geometry (14-XX) 1,334 Harmonic analysis on Euclidean spaces (42-XX) 1,260 Combinatorics (05-XX) 1,149 Statistics (62-XX) 1,097 Optics, electromagnetic theory (78-XX) 1,092 Operator theory (47-XX) 1,009 Real functions (26-XX) 826 Group theory and generalizations (20-XX) 821 Statistical mechanics, structure of matter (82-XX) 801 Functions of a complex variable (30-XX) 801 Dynamical systems and ergodic theory (37-XX) 721 Biology and other natural sciences (92-XX) 658 Systems theory; control (93-XX) 607 Field theory and polynomials (12-XX) 544 Quantum theory (81-XX) 527 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 505 Classical thermodynamics, heat transfer (80-XX) 465 Geophysics (86-XX) 434 Commutative algebra (13-XX) 426 Functional analysis (46-XX) 322 Convex and discrete geometry (52-XX) 316 Mechanics of particles and systems (70-XX) 283 Difference and functional equations (39-XX) 280 Associative rings and algebras (16-XX) 270 Integral transforms, operational calculus (44-XX) 265 Global analysis, analysis on manifolds (58-XX) 222 Potential theory (31-XX) 200 Differential geometry (53-XX) 192 Manifolds and cell complexes (57-XX) 184 Sequences, series, summability (40-XX) 165 Measure and integration (28-XX) 128 Geometry (51-XX) 116 History and biography (01-XX) 100 Relativity and gravitational theory (83-XX) 94 Nonassociative rings and algebras (17-XX) 83 General and overarching topics; collections (00-XX) 78 Topological groups, Lie groups (22-XX) 76 Several complex variables and analytic spaces (32-XX) 72 Mathematical logic and foundations (03-XX) 71 Abstract harmonic analysis (43-XX) 65 Astronomy and astrophysics (85-XX) 62 Order, lattices, ordered algebraic structures (06-XX) 52 $$K$$-theory (19-XX) 47 General topology (54-XX) 47 Algebraic topology (55-XX) 27 Mathematics education (97-XX) 24 Category theory; homological algebra (18-XX) 15 General algebraic systems (08-XX)