## 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: 6,450 Publications (since 1960) References Indexed: 4,785 Publications with 93,887 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 18 Zhang, Zhimin 17 Cohn, Harvey 17 Niederreiter, Harald 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 Guzmán, Johnny 15 Lehmer, Derrick Henry 15 Lubich, Christian 14 Borwein, Peter Benjamin 14 Boyd, David William 14 Buchmann, Johannes A. 14 Crandall, Richard E. 14 Liu, Jianguo 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 Makridakis, Charalambos G. 13 Stroud, Arthur H. 13 Ward, Joseph Dinneen 12 Bartels, Sören 12 Brunner, Hermann 12 Douglas, Jim jun. 12 Iserles, Arieh 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 Kellogg, Bruce 11 Parlett, Beresford Neill 11 Rodríguez, Rodolfo 11 Sauter, Stefan A. 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 Shampine, Lawrence Fred 10 Süli, Endre E. 10 Wang, Junping ...and 5,773 more Authors
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### Fields

 3,464 Numerical analysis (65-XX) 1,776 Number theory (11-XX) 1,213 Partial differential equations (35-XX) 626 Approximations and expansions (41-XX) 318 Special functions (33-XX) 307 Fluid mechanics (76-XX) 272 Computer science (68-XX) 262 Ordinary differential equations (34-XX) 245 Algebraic geometry (14-XX) 177 Field theory and polynomials (12-XX) 175 Linear and multilinear algebra; matrix theory (15-XX) 168 Harmonic analysis on Euclidean spaces (42-XX) 160 Combinatorics (05-XX) 159 Functions of a complex variable (30-XX) 142 Integral equations (45-XX) 131 Group theory and generalizations (20-XX) 118 Operations research, mathematical programming (90-XX) 117 Mechanics of deformable solids (74-XX) 111 Information and communication theory, circuits (94-XX) 100 Operator theory (47-XX) 92 Probability theory and stochastic processes (60-XX) 90 Calculus of variations and optimal control; optimization (49-XX) 83 Real functions (26-XX) 79 Optics, electromagnetic theory (78-XX) 67 Dynamical systems and ergodic theory (37-XX) 66 Commutative algebra (13-XX) 60 Sequences, series, summability (40-XX) 47 Statistics (62-XX) 43 Difference and functional equations (39-XX) 42 Convex and discrete geometry (52-XX) 40 Integral transforms, operational calculus (44-XX) 35 Functional analysis (46-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Geometry (51-XX) 29 Global analysis, analysis on manifolds (58-XX) 29 Quantum theory (81-XX) 24 Associative rings and algebras (16-XX) 21 Potential theory (31-XX) 19 Manifolds and cell complexes (57-XX) 19 Mechanics of particles and systems (70-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Differential geometry (53-XX) 17 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) 10 Mathematical logic and foundations (03-XX) 9 History and biography (01-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) 4 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)

### Citations contained in zbMATH Open

5,722 Publications have been cited 93,173 times in 55,829 Documents Cited by Year
Numerical solution of the Navier-Stokes equations. Zbl 0198.50103
Chorin, Alexandre Joel
1968
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II: General framework. Zbl 0662.65083
Cockburn, Bernardo; Shu, Chi-Wang
1989
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
Surfaces generated by moving least squares methods. Zbl 0469.41005
Lancaster, P.; Salkauskas, K.
1981
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
1998
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV: The multidimensional case. Zbl 0695.65066
Cockburn, Bernardo; Hou, Suchung; Shu, Chi-Wang
1990
Multi-level adaptive solutions to boundary-value problems. Zbl 0373.65054
Brandt, Achi
1977
An algorithm for the machine calculation of complex Fourier series. Zbl 0127.09002
Cooley, James W.; Tukey, John W.
1965
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
1977
Scattered data interpolation: Tests of some methods. Zbl 0476.65005
Franke, Richard
1982
Calculation of Gauss quadrature rules. Zbl 0179.21901
Golub, Gene H.; Welsch, John H.
1969
A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058
Tian, Wenyi; Zhou, Han; Deng, Weihua
2015
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020
Meijerink, J. A.; van der Vorst, Henk A.
1977
A class of methods for solving nonlinear simultaneous equations. Zbl 0131.13905
Broyden, C. G.
1965
A weak Galerkin mixed finite element method for second order elliptic problems. Zbl 1308.65202
Wang, Junping; Ye, Xiu
2014
Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
Bank, R. E.; Weiser, A.
1985
Elliptic curve cryptosystems. Zbl 0622.94015
Koblitz, Neal
1987
Updating quasi-Newton matrices with limited storage. Zbl 0464.65037
Nocedal, Jorge
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
Shanno, D. F.
1971
A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042
Dennis, J. E. jun.; More, Jorge J.
1974
Implicit Runge-Kutta processes. Zbl 0123.11701
Butcher, J. C.
1964
Analysis of some difference approximations for a singular perturbation problem without turning points. Zbl 0418.65040
Kellogg, R. Bruce; Tsan, Alice
1978
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
1985
Approximation results for orthogonal polynomials in Sobolev spaces. Zbl 0567.41008
Canuto, C.; Quarteroni, A.
1982
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
2005
On some inequalities for the gamma and psi functions. Zbl 0854.33001
Alzer, Horst
1997
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
Multivariate interpolation and conditionally positive definite functions. II. Zbl 0859.41004
Madych, W. R.; Nelson, S. A.
1990
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Zbl 0618.65105
Johnson, C.; Pitkäranta, J.
1986
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
2006
On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103
Chorin, A. J.
1969
An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Zbl 0321.65059
Schatz, Alfred H.
1974
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
Localization of elliptic multiscale problems. Zbl 1301.65123
Målqvist, Axel; Peterseim, Daniel
2014
Extensions and applications of the Householder algorithm for solving linear least squares problems. Zbl 0185.40701
Hanson, R. J.; Lawson, C. L.
1969
Upwind difference schemes for hyperbolic systems of conservation laws. Zbl 0483.65055
Osher, Stanley; Solomon, Fred
1982
Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076
Crandall, M. G.; Lions, Pierre-Louis
1984
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
2001
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Zbl 0641.65068
1987
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
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
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
1986
Accelerated overrelaxation method. Zbl 0382.65015
1978
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
Convolution quadrature time discretization of fractional diffusion-wave equations. Zbl 1090.65147
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar
2006
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2005
A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Zbl 1017.65088
Chen, Zhiming; Hou, Thomas Y.
2003
Some fourth order multipoint iterative methods for solving equations. Zbl 0229.65049
Jarratt, P.
1966
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
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
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
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
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
2001
Stability theory of difference approximations for mixed initial boundary value problems. II. Zbl 0293.65076
Gustafsson, Bertil; Kreiss, Heinz-Otto; Sundström, Arne
1972
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
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 posteriori error estimate for the mixed finite element method. Zbl 0864.65068
Carstensen, Carsten
1997
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
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Zbl 1198.65186
Lubich, Christian
2008
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
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 projection-based error analysis of HDG methods. Zbl 1197.65173
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Sayas, Francisco-Javier
2010
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Zbl 1198.65193
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny
2008
The finite element method with penalty. Zbl 0299.65057
Babuška, Ivo
1973
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
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
1980
Interior estimates for Ritz-Galerkin methods. Zbl 0298.65071
Nitsche, Joachim A.; Schatz, Alfred H.
1974
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
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
2005
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
Speeding the Pollard and elliptic curve methods of factorization. Zbl 0608.10005
Montgomery, Peter L.
1987
Elliptic curves over finite fields and the computation of square roots mod p. Zbl 0579.14025
Schoof, René
1985
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
1974
Modular multiplication without trial division. Zbl 0559.10006
Montgomery, Peter L.
1985
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
Quasi-Newton methods and their application to function minimisation. Zbl 0155.46704
Broyden, C. G.
1967
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
1981
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
1988
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
2000
Decoupled schemes for a non-stationary mixed Stokes-Darcy model. Zbl 1369.76026
Mu, Mo; Zhu, Xiaohong
2010
On the coupling of boundary integral and finite element methods. Zbl 0451.65083
Johnson, Claes; Nedelec, J. Claude
1980
The approximation power of moving least-squares. Zbl 0911.41016
Levin, David
1998
Iteration methods for finding all zeros of a polynomial simultaneously. Zbl 0282.65037
Aberth, Oliver
1973
An algebraic theory of integration methods. Zbl 0258.65070
Butcher, J. C.
1972
Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations. Zbl 0482.65013
Levin, David
1982
The convergence rate for difference approximations to mixed initial boundary value problems. Zbl 0313.65085
Gustafsson, Bertil
1975
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
Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064
Bramble, James H.; Schatz, Alfred H.
1977
Monte Carlo methods for index computation (mod $$p$$). Zbl 0382.10001
Pollard, J. M.
1978
Generation of finite difference formulas on arbitrary spaced grids. Zbl 0701.65014
Fornberg, Bengt
1988
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs. Zbl 07603627
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin
2023
Super-polynomial accuracy of one dimensional randomized nets using the median of means. Zbl 07636065
Pan, Zexin; Owen, Art B.
2023
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
Finite elements for $$\operatorname{div}\operatorname{div}$$ conforming symmetric tensors in three dimensions. Zbl 1493.65193
Chen, Long; Huang, Xuehai
2022
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
2022
An extended Galerkin analysis in finite element exterior calculus. Zbl 1492.65311
Hong, Qingguo; Li, Yuwen; Xu, Jinchao
2022
Certified dimension reduction in nonlinear Bayesian inverse problems. Zbl 07541892
Zahm, Olivier; Cui, Tiangang; Law, Kody; Spantini, Alessio; Marzouk, Youssef
2022
Computing equilibrium measures with power law kernels. Zbl 1496.65227
Gutleb, Timon S.; Carrillo, José A.; Olver, Sheehan
2022
Norm one tori and Hasse norm principle. Zbl 07574509
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi
2022
Multilevel decompositions and norms for negative order Sobolev spaces. Zbl 1483.65196
Führer, Thomas
2022
Counting zeros of Dedekind zeta functions. Zbl 1494.11094
Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie
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 1492.65254
Wu, Yifei; Yao, Fangyan
2022
A $$\log$$-$$\log$$ speedup for exponent one-fifth deterministic integer factorisation. Zbl 1491.11110
Harvey, David; Hittmeir, Markus
2022
Explicit interval estimates for prime numbers. Zbl 07541897
Cully-Hugill, Michaela; Lee, Ethan S.
2022
Crouzeix-Raviart triangular elements are inf-sup stable. Zbl 1496.65211
Carstensen, Carsten; Sauter, Stefan A.
2022
A finite element elasticity complex in three dimensions. Zbl 1498.65196
Chen, Long; Huang, Xuehai
2022
Toric eigenvalue methods for solving sparse polynomial systems. Zbl 1502.14122
Bender, Matías R.; Telen, Simon
2022
Algorithms for fundamental invariants and equivariants of finite groups. Zbl 07574510
Hubert, Evelyne; Rodriguez Bazan, Erick
2022
Why large time-stepping methods for the Cahn-Hilliard equation is stable. Zbl 1497.35378
Li, Dong
2022
Explicit stabilized multirate method for stiff differential equations. Zbl 1500.65034
Abdulle, Assyr; Grote, Marcus J.; De Souza, Giacomo Rosilho
2022
Recovery of Sobolev functions restricted to iid sampling. Zbl 07582812
Krieg, David; Novak, Erich; Sonnleitner, Mathias
2022
An algorithm for Hodge ideals. Zbl 07582820
Blanco, Guillem
2022
Asymptotic expansions of eigenvalues by both the Crouzeix-Raviart and enriched Crouzeix-Raviart elements. Zbl 1479.65029
Hu, Jun; Ma, Limin
2022
Two-scale methods for convex envelopes. Zbl 1486.65226
Li, Wenbo; Nochetto, Ricardo H.
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
Spanning the isogeny class of a power of an elliptic curve. Zbl 1486.14046
Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien
2022
An algorithmic approach to Chevalley’s theorem on images of rational morphisms between affine varieties. Zbl 1478.13044
Barakat, Mohamed; Lange-Hegermann, Markus
2022
Dual linear programming bounds for sphere packing via modular forms. Zbl 07446423
Cohn, Henry; Triantafillou, Nicholas
2022
Superconvergence of time invariants for the Gross-Pitaevskii equation. Zbl 1483.35213
Henning, Patrick; Wärnegård, Johan
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 1497.65170
Drake, Dow; Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2022
A uniformly accurate numerical method for a class of dissipative systems. Zbl 07473346
Chartier, Philippe; Lemou, Mohammed; Trémant, Léopold
2022
Minimality and uniqueness for decompositions of specific ternary forms. Zbl 07473352
Angelini, Elena; Chiantini, Luca
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The perfect groups of order up to two million. Zbl 07473353
Hulpke, Alexander
2022
Time discretizations of Wasserstein-Hamiltonian flows. Zbl 1497.65255
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2022
Convergence acceleration of ensemble Kalman inversion in nonlinear settings. Zbl 1486.49049
Chada, Neil K.; Tong, Xin T.
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Boosted optimal weighted least-squares. Zbl 07506851
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A classification of ECM-friendly families of elliptic curves using modular curves. Zbl 07506855
Barbulescu, Razvan; Shinde, Sudarshan
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Enumeration of set-theoretic solutions to the Yang-Baxter equation. Zbl 07506857
Akgün, Ö.; Mereb, M.; Vendramin, L.
2022
Four consecutive primitive elements in a finite field. Zbl 07506860
Jarso, Tamiru; Trudgian, Tim
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Analysis of finite element methods for surface vector-Laplace eigenproblems. Zbl 1492.65329
Reusken, Arnold
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Multiscale scattering in nonlinear Kerr-type media. Zbl 1491.65148
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Full discretization error analysis of exponential integrators for semilinear wave equations. Zbl 1496.65161
Dörich, Benjamin; Leibold, Jan
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A posteriori error analysis for approximations of time-fractional subdiffusion problems. Zbl 07541889
Banjai, Lehel; Makridakis, Charalambos G.
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Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Zbl 07541895
Wang, Yinkun; Xiang, Shuhuang
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The equilateral small octagon of maximal width. Zbl 1496.52010
Bingane, Christian; Audet, Charles
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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
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Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067
Liao, Hong-Lin; Zhang, Zhimin
2021
Low-regularity integrators for nonlinear Dirac equations. Zbl 1450.35231
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei
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Error analysis of an $$L2$$-type method on graded meshes for a fractional-order parabolic problem. Zbl 1452.65237
Kopteva, Natalia
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Sharper bounds for the Chebyshev function $$\theta (x)$$. Zbl 1478.11108
Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten
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Quadratic points on modular curves with infinite Mordell-Weil group. Zbl 1462.11049
Box, Josha
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The error term in the prime number theorem. Zbl 1472.11245
Platt, David J.; Trudgian, Timothy S.
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On the continuous time limit of the ensemble Kalman filter. Zbl 1458.60082
Lange, Theresa; Stannat, Wilhelm
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A unified framework of SAGE and SONC polynomials and its duality theory. Zbl 1466.14062
Katthän, Lukas; Naumann, Helen; Theobald, Thorsten
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Function integration, reconstruction and approximation using rank-$$1$$ lattices. Zbl 1466.42002
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk
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Computing square-free polarized abelian varieties over finite fields. Zbl 1469.11211
Marseglia, Stefano
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Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Zbl 1466.65114
Akrivis, Georgios; Feischl, Michael; Kovács, Balázs; Lubich, Christian
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A weighted randomized Kaczmarz method for solving linear systems. Zbl 07390218
Steinerberger, Stefan
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Accurate estimation of sums over zeros of the Riemann zeta-function. Zbl 1480.11103
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S.
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Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. Zbl 1466.65115
Altmann, R.; Maier, R.; Unger, B.
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
Conforming discrete gradgrad-complexes in three dimensions. Zbl 1479.65028
Hu, Jun; Liang, Yizhou
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
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Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M.
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Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 1493.65151
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A.
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New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 1452.65359
Sun, Weiwei; Wu, Chengda
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Consistency of finite volume approximations to nonlinear hyperbolic balance laws. Zbl 1452.65184
Ben-Artzi, Matania; Li, Jiequan
2021
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix. Zbl 1468.15019
Makuracki, Bartosz; Mróz, Andrzej
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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
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Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
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Approximate first-order primal-dual algorithms for saddle point problems. Zbl 1461.65159
Jiang, Fan; Cai, Xingju; Wu, Zhongming; Han, Deren
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Approximation properties of sum-up rounding in the presence of vanishing constraints. Zbl 1462.49053
Manns, Paul; Kirches, Christian; Lenders, Felix
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Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161
Bartels, Sören; Reiter, Philipp
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Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
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Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
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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
Fast multi-precision computation of some Euler products. Zbl 1468.11249
Ettahri, S.; Ramaré, O.; Surel, L.
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
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors. Zbl 1456.65164
Li, Yuwen
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.
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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
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
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
Uniform convergent expansions of integral transforms. Zbl 1469.41012
López, José L.; Palacios, Pablo; Pagola, Pedro J.
2021
Counting zeros of Dirichlet $$L$$-functions. Zbl 1475.11148
Bennett, Michael A.; Martin, Greg; O&rsquo;Bryant, Kevin; Rechnitzer, Andrew
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
A time-space tradeoff for Lehman’s deterministic integer factorization method. Zbl 1472.11313
Hittmeir, Markus
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
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. Zbl 1491.65124
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### Cited by 45,716 Authors

 184 Shu, Chi-Wang 170 Dehghan Takht Fooladi, Mehdi 139 He, Yinnian 136 Argyros, Ioannis Konstantinos 128 Huang, Yunqing 122 Chen, Yanping 115 Carstensen, Carsten 113 Zhang, Zhimin 105 Cockburn, Bernardo 98 Gatica, Gabriel N. 98 Reichel, Lothar 98 Schwab, Christoph 93 Zhang, Shangyou 92 Dumbser, Michael 89 Burman, Erik 84 Shparlinski, Igor E. 83 Sloan, Ian Hugh 81 Chung, Tsz Shun Eric 79 Ye, Xiu 78 Stynes, Martin 78 Xu, Jinchao 77 Brenner, Susanne Cecelia 77 Nochetto, Ricardo Horacio 73 Wang, Hong 72 Guo, Ben-Yu 71 Li, Jichun 71 Ma, Changfeng 70 Praetorius, Dirk 70 Shi, Dongyang 65 Ern, Alexandre 63 Rebholz, Leo G. 63 Shen, Jie 62 Milovanović, Gradimir V. 62 Xu, Da 61 Demkowicz, Leszek F. 61 Qiu, Jianxian 61 Stephan, Ernst Peter 60 Pan, Victor Yakovlevich 60 Serra-Capizzano, Stefano 59 Hou, Yanren 58 Farouki, Rida T. 57 Dick, Josef 57 Feng, Xinlong 57 Gunzburger, Max D. 57 Li, Jian 57 Nordström, Jan 57 Sidi, Avram 56 Brunner, Hermann 56 Di Pietro, Daniele Antonio 56 Jackiewicz, Zdzislaw 56 Xiang, Shuhuang 55 Chen, Zhangxin 55 Guermond, Jean-Luc 54 Wang, Cheng 54 Yang, Xiaofeng 53 George, Santhosh 53 Li, Buyang 53 Repin, Sergeĭ Igorevich 53 Vohralík, Martin 53 Wohlmuth, Barbara I. 53 Xu, Yuesheng 52 Babuška, Ivo 52 Du, Qiang 52 Niederreiter, Harald 52 Rui, Hongxing 52 Sayas, Francisco-Javier 52 Srivastava, Hari Mohan 51 Axelsson, Axel Owe Holger 51 Bai, Zhongzhi 51 Pillichshammer, Friedrich 51 Stevenson, Rob P. 50 Bramble, James H. 50 Huang, Ting-Zhu 50 Hughes, Thomas J. R. 50 Wang, Junping 50 Zhang, Guofeng 49 Brezinski, Claude 49 Hansbo, Peter 49 Kadalbajoo, Mohan K. 49 Lubich, Christian 49 Nicaise, Serge 49 Ruiz-Baier, Ricardo 49 Wei, Yimin 49 Woźniakowski, Henryk 49 Yang, Yidu 48 Gautschi, Walter 48 Rodríguez, Rodolfo 48 Xie, Hehu 48 Xu, Yan 47 Heuer, Norbert 47 Kuo, Frances Y. 47 Petković, Miodrag S. 47 Pomerance, Carl Bernard 47 Quarteroni, Alfio M. 46 Abbaszadeh, Mostafa 46 Antonietti, Paola Francesca 46 Beirão da Veiga, Lourenço 46 Bultheel, Adhemar François 46 Butcher, John C. 46 Layton, William J. ...and 45,616 more Authors
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 3,217 Journal of Computational and Applied Mathematics 3,160 Mathematics of Computation 2,975 Journal of Computational Physics 2,151 Applied Mathematics and Computation 1,948 Computer Methods in Applied Mechanics and Engineering 1,737 Computers & Mathematics with Applications 1,671 Numerische Mathematik 1,638 Applied Numerical Mathematics 1,634 Journal of Scientific Computing 926 Linear Algebra and its Applications 888 Numerical Algorithms 753 Journal of Number Theory 722 SIAM Journal on Scientific Computing 676 Computers and Fluids 654 Journal of Mathematical Analysis and Applications 651 BIT 627 SIAM Journal on Numerical Analysis 468 Advances in Computational Mathematics 453 Journal of Approximation Theory 438 Computing 426 Engineering Analysis with Boundary Elements 399 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 353 Calcolo 351 Journal of Symbolic Computation 345 Journal of Complexity 341 Numerical Methods for Partial Differential Equations 336 International Journal of Computer Mathematics 303 Applied Mathematics Letters 302 Mathematics and Computers in Simulation 278 Applied Mathematical Modelling 257 International Journal for Numerical Methods in Engineering 254 Computational and Applied Mathematics 251 Journal of Algebra 250 Computer Aided Geometric Design 244 Proceedings of the American Mathematical Society 240 Journal of Optimization Theory and Applications 224 Communications in Computational Physics 223 International Journal of Number Theory 211 Computational Mechanics 197 Transactions of the American Mathematical Society 193 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 192 Computational Optimization and Applications 183 Computational Methods in Applied Mathematics 178 Applied and Computational Harmonic Analysis 177 Numerical Linear Algebra with Applications 173 Foundations of Computational Mathematics 170 Finite Fields and their Applications 161 Advances in Applied Mathematics and Mechanics 160 Journal of Fluid Mechanics 158 Journal de Théorie des Nombres de Bordeaux 157 Numerical Functional Analysis and Optimization 156 The Ramanujan Journal 154 BIT. Nordisk Tidskrift for Informationsbehandling 153 Mathematical Problems in Engineering 152 Journal of Applied Mathematics and Computing 149 Discrete Mathematics 146 International Journal for Numerical Methods in Fluids 146 RAIRO. Modélisation Mathématique et Analyse Numérique 146 SIAM Journal on Matrix Analysis and Applications 144 Theoretical Computer Science 139 Constructive Approximation 139 Science China. Mathematics 137 Mathematical Methods in the Applied Sciences 137 Experimental Mathematics 133 Mathematical and Computer Modelling 131 Journal of Differential Equations 129 Abstract and Applied Analysis 126 Multiscale Modeling & Simulation 124 Rocky Mountain Journal of Mathematics 124 Japan Journal of Industrial and Applied Mathematics 124 Designs, Codes and Cryptography 124 Journal of Inequalities and Applications 123 Journal of Integral Equations and Applications 120 Bulletin of the Australian Mathematical Society 120 Advances in Difference Equations 118 Computational Geosciences 118 Comptes Rendus. Mathématique. Académie des Sciences, Paris 116 Physica D 114 Communications in Nonlinear Science and Numerical Simulation 109 Applicable Analysis 109 Mathematical Programming. Series A. Series B 107 Communications in Numerical Methods in Engineering 105 Journal of Mathematical Sciences (New York) 103 Applied Mathematics and Mechanics. (English Edition) 103 Applications of Mathematics 102 LMS Journal of Computation and Mathematics 102 Journal of Numerical Mathematics 97 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 93 Advances in Mathematics 91 Journal of Combinatorial Theory. Series A 90 Discrete and Continuous Dynamical Systems. Series B 89 Computer Physics Communications 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 87 Acta Arithmetica 87 International Journal of Numerical Analysis and Modeling 86 Communications on Applied Mathematics and Computation 84 Inverse Problems 83 Archive for Rational Mechanics and Analysis 83 Automatica 82 Results in Mathematics ...and 1,097 more Journals
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### Cited in 63 Fields

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