## 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: 6,355 Publications (since 1960) References Indexed: 4,690 Publications with 90,382 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. 33 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 Rabinowitz, Philip 19 Sidi, Avram 19 Wagstaff, Samuel Standfield jun. 18 Carstensen, Carsten 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 Luke, Yudell L. 14 Salzer, Herbert E. 14 Shu, Chi-Wang 14 Woźniakowski, Henryk 13 Cody, William J. jun. 13 Golub, Gene Howard 13 Guzmán, Johnny 13 Hagis, Peter jun. 13 Liu, Jianguo 13 Sayas, Francisco-Javier 13 Stroud, Arthur H. 13 Ward, Joseph Dinneen 12 Bartels, Sören 12 Brunner, Hermann 12 Douglas, Jim jun. 12 Johnson, Claes G. L. 12 Makridakis, Charalambos G. 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 Kuo, Frances Y. 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 Shampine, Lawrence Fred 10 Süli, Endre E. 10 Wang, Junping 10 Widlund, Olof B. ...and 5,624 more Authors
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### Fields

 3,398 Numerical analysis (65-XX) 1,756 Number theory (11-XX) 1,184 Partial differential equations (35-XX) 618 Approximations and expansions (41-XX) 315 Special functions (33-XX) 292 Fluid mechanics (76-XX) 265 Computer science (68-XX) 262 Ordinary differential equations (34-XX) 231 Algebraic geometry (14-XX) 177 Field theory and polynomials (12-XX) 172 Linear and multilinear algebra; matrix theory (15-XX) 168 Harmonic analysis on Euclidean spaces (42-XX) 159 Functions of a complex variable (30-XX) 156 Combinatorics (05-XX) 142 Integral equations (45-XX) 127 Group theory and generalizations (20-XX) 115 Operations research, mathematical programming (90-XX) 113 Mechanics of deformable solids (74-XX) 110 Information and communication theory, circuits (94-XX) 97 Operator theory (47-XX) 90 Probability theory and stochastic processes (60-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 81 Real functions (26-XX) 75 Optics, electromagnetic theory (78-XX) 63 Dynamical systems and ergodic theory (37-XX) 62 Commutative algebra (13-XX) 60 Sequences, series, summability (40-XX) 45 Statistics (62-XX) 42 Difference and functional equations (39-XX) 40 Convex and discrete geometry (52-XX) 39 Integral transforms, operational calculus (44-XX) 34 Functional analysis (46-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Geometry (51-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Quantum theory (81-XX) 24 Associative rings and algebras (16-XX) 22 Potential theory (31-XX) 19 Mechanics of particles and systems (70-XX) 18 Manifolds and cell complexes (57-XX) 18 Classical thermodynamics, heat transfer (80-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) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-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

5,619 Publications have been cited 87,466 times in 52,854 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
Surfaces generated by moving least squares methods. Zbl 0469.41005
Lancaster, P.; Salkauskas, K.
1981
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
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
Total variation diminishing Runge-Kutta schemes. Zbl 0897.65058
Gottlieb, Sigal; Shu, Chi-Wang
1998
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
An algorithm for the machine calculation of complex Fourier series. Zbl 0127.09002
Cooley, James W.; Tukey, John W.
1965
Calculation of Gauss quadrature rules. Zbl 0179.21901
Golub, Gene H.; Welsch, John H.
1969
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 second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058
Tian, Wenyi; Zhou, Han; Deng, Weihua
2015
Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
Bank, R. E.; Weiser, A.
1985
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
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
Implicit Runge-Kutta processes. Zbl 0123.11701
Butcher, J. C.
1964
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
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
1985
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
On some inequalities for the gamma and psi functions. Zbl 0854.33001
Alzer, Horst
1997
On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103
Chorin, A. J.
1969
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
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
2005
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
Structured preconditioners for nonsingular matrices of block two-by-two structures. Zbl 1091.65041
Bai, Zhong-Zhi
2006
Extensions and applications of the Householder algorithm for solving linear least squares problems. Zbl 0185.40701
Hanson, R. J.; Lawson, C. L.
1969
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
2001
An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Zbl 0321.65059
Schatz, Alfred H.
1974
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
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
Localization of elliptic multiscale problems. Zbl 1301.65123
Målqvist, Axel; Peterseim, Daniel
2014
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
Accelerated overrelaxation method. Zbl 0382.65015
Hadjidimos, Apostolos
1978
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
1986
The completion of locally refined simplicial partitions created by bisection. Zbl 1131.65095
Stevenson, Rob
2008
Spectral approximation for compact operators. Zbl 0315.35068
Osborn, John E.
1975
Some fourth order multipoint iterative methods for solving equations. Zbl 0229.65049
Jarratt, P.
1966
A locally conservative LDG method for the incompressible Navier-Stokes equations. Zbl 1069.76029
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik
2005
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1990
A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Zbl 1017.65088
Chen, Zhiming; Hou, Thomas Y.
2003
Korn’s inequalities for piecewise $$H^1$$ vector fields. Zbl 1055.65118
Brenner, Susanne C.
2004
Convolution quadrature time discretization of fractional diffusion-wave equations. Zbl 1090.65147
Cuesta, Eduardo; Lubich, Christian; Palencia, Cesar
2006
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
1974
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
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
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
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
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
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
Saad, Y.
1981
Stability theory of difference approximations for mixed initial boundary value problems. II. Zbl 0293.65076
Gustafsson, Bertil; Kreiss, Heinz-Otto; Sundström, Arne
1972
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Zbl 1198.65193
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny
2008
A posteriori error estimate for the mixed finite element method. Zbl 0864.65068
Carstensen, Carsten
1997
Interior estimates for Ritz-Galerkin methods. Zbl 0298.65071
Nitsche, Joachim A.; Schatz, Alfred H.
1974
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations. Zbl 1198.65186
Lubich, Christian
2008
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
2001
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
1980
The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Zbl 0641.65068
Tadmor, Eitan
1987
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
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
The finite element method with penalty. Zbl 0299.65057
Babuška, Ivo
1973
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
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
Primal hybrid finite element methods for 2nd order elliptic equations. Zbl 0364.65082
Raviart, P. A.; Thomas, J. M.
1977
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
1988
Quasi-Newton methods and their application to function minimisation. Zbl 0155.46704
Broyden, C. G.
1967
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
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
Elliptic curves over finite fields and the computation of square roots mod p. Zbl 0579.14025
Schoof, René
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
An algebraic theory of integration methods. Zbl 0258.65070
Butcher, J. C.
1972
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
2005
Meshless Galerkin methods using radial basis functions. Zbl 1020.65084
Wendland, Holger
1999
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
Factoring polynomials over large finite fields. Zbl 0247.12014
Berlekamp, E. R.
1971
Speeding the Pollard and elliptic curve methods of factorization. Zbl 0608.10005
Montgomery, Peter L.
1987
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
2000
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
Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations. Zbl 0482.65013
Levin, David
1982
Decoupled schemes for a non-stationary mixed Stokes-Darcy model. Zbl 1369.76026
Mu, Mo; Zhu, Xiaohong
2010
The convergence rate for difference approximations to mixed initial boundary value problems. Zbl 0313.65085
Gustafsson, Bertil
1975
Iteration methods for finding all zeros of a polynomial simultaneously. Zbl 0282.65037
Aberth, Oliver
1973
Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064
Bramble, James H.; Schatz, Alfred H.
1977
Modular multiplication without trial division. Zbl 0559.10006
Montgomery, Peter L.
1985
Decay rates for inverses of band matrices. Zbl 0568.15003
Demko, Stephen; Moss, William F.; Smith, Philip W.
1984
$$hp$$-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Zbl 07446408
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.
2022
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error Analysis. Zbl 1479.35625
Li, Xiaoli; Shen, Jie; Liu, Zhengguang
2022
Class numbers and representations by ternary quadratic forms with congruence conditions. Zbl 07446418
Bringmann, Kathrin; Kane, Ben
2022
Accuracy controlled data assimilation for parabolic problems. Zbl 1483.35335
Dahmen, Wolfgang; Stevenson, Rob; Westerdiep, Jan
2022
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
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
Low-regularity integrators for nonlinear Dirac equations. Zbl 1450.35231
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei
2021
On the continuous time limit of the ensemble Kalman filter. Zbl 1458.60082
Lange, Theresa; Stannat, Wilhelm
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
Quadratic points on modular curves with infinite Mordell-Weil group. Zbl 1462.11049
Box, Josha
2021
Function integration, reconstruction and approximation using rank-$$1$$ lattices. Zbl 1466.42002
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk
2021
Error analysis of an $$L2$$-type method on graded meshes for a fractional-order parabolic problem. Zbl 1452.65237
Kopteva, Natalia
2021
The error term in the prime number theorem. Zbl 1472.11245
Platt, David J.; Trudgian, Timothy S.
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
A unified framework of SAGE and SONC polynomials and its duality theory. Zbl 1466.14062
Katthän, Lukas; Naumann, Helen; Theobald, Thorsten
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
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
Computing square-free polarized abelian varieties over finite fields. Zbl 1469.11211
Marseglia, Stefano
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
Sharper bounds for the Chebyshev function $$\theta (x)$$. Zbl 1478.11108
Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten
2021
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
2021
Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067
Liao, Hong-Lin; Zhang, Zhimin
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
Inf-sup stability of the trace $$\mathbf{P}_2-P_1$$ Taylor-Hood elements for surface PDEs. Zbl 07356033
Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
2021
Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
2021
Existence of dynamical low-rank approximations to parabolic problems. Zbl 1482.65136
Bachmayr, Markus; Eisenmann, Henrik; Kieri, Emil; Uschmajew, André
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
Unconditional convergence for discretizations of dynamical optimal transport. Zbl 1456.65046
Lavenant, Hugo
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
Fast multi-precision computation of some Euler products. Zbl 1468.11249
Ettahri, S.; Ramaré, O.; Surel, L.
2021
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M.
2021
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. Zbl 1466.65115
Altmann, R.; Maier, R.; Unger, B.
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
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161
Bartels, Sören; Reiter, Philipp
2021
Conforming discrete gradgrad-complexes in three dimensions. Zbl 1479.65028
Hu, Jun; Liang, Yizhou
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
A time-space tradeoff for Lehman’s deterministic integer factorization method. Zbl 1472.11313
Hittmeir, Markus
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
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
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
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
Approximation of optimal transport problems with marginal moments constraints. Zbl 1455.49018
Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie; Lombardi, Damiano
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
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
2021
The distribution of $$k$$-free numbers. Zbl 1469.11310
Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S.
2021
Primes that become composite after changing an arbitrary digit. Zbl 1476.11147
Filaseta, Michael; Southwick, Jeremiah
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
Integration in reproducing kernel Hilbert spaces of Gaussian kernels. Zbl 07369109
Karvonen, Toni; Oates, Chris J.; Girolami, Mark
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
Stabilized leapfrog based local time-stepping method for the wave equation. Zbl 07390211
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A.
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
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy. Zbl 07390220
Gnewuch, Michael; Pasing, Hendrik; Weiß, Christian
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
An exponent one-fifth algorithm for deterministic integer factorisation. Zbl 1472.11311
Harvey, David
2021
Approximate first-order primal-dual algorithms for saddle point problems. Zbl 1461.65159
Jiang, Fan; Cai, Xingju; Wu, Zhongming; Han, Deren
2021
Uniform convergent expansions of integral transforms. Zbl 1469.41012
López, José L.; Palacios, Pablo; Pagola, Pedro J.
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
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
2021
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Zbl 07356039
Sun, Zheng; Xing, Yulong
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
Deep backward schemes for high-dimensional nonlinear PDEs. Zbl 1440.60063
Huré, Côme; Pham, Huyên; Warin, Xavier
2020
Nonconforming virtual element method for $$2m$$ th order partial differential equations in $$\mathbb{R}^n$$. Zbl 1436.65175
Chen, Long; Huang, Xuehai
2020
Adaptive iterative linearization Galerkin methods for nonlinear problems. Zbl 07240964
Heid, Pascal; Wihler, Thomas P.
2020
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016
Graham, I. G.; Sauter, S. A.
2020
A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy. Zbl 1436.65037
Huang, Rong
2020
Stable broken $$H^1$$ and $$H(\operatorname{div})$$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. Zbl 1434.65253
Ern, Alexandre; Vohralík, Martin
2020
Uniform preconditioners for problems of negative order. Zbl 07146711
Stevenson, Rob; van Venetië, Raymond
2020
Exact smooth piecewise polynomial sequences on Alfeld splits. Zbl 1434.65255
Fu, Guosheng; Guzmán, Johnny; Neilan, Michael
2020
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations. Zbl 1440.65108
Bessemoulin-Chatard, Marianne; Herda, Maxime; Rey, Thomas
2020
Dörfler marking with minimal cardinality is a linear complexity problem. Zbl 1446.65190
Pfeiler, Carl-Martin; Praetorius, Dirk
2020
Growth of torsion groups of elliptic curves upon base change. Zbl 1480.11071
González-Jiménez, Enrique; Najman, Filip
2020
A diffusion generated method for orthogonal matrix-valued fields. Zbl 1435.65144
Osting, Braxton; Wang, Dong
2020
Post-processed Galerkin approximation of improved order for wave equations. Zbl 1434.65173
Bause, M.; Köcher, U.; Radu, F. A.; Schieweck, F.
2020
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime. Zbl 1440.35286
Bao, Weizhu; Cai, Yongyong; Yin, Jia
2020
Counting inversions and descents of random elements in finite Coxeter groups. Zbl 1480.20093
Kahle, Thomas; Stump, Christian
2020
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422
Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre
2020
On commuting $$p$$-version projection-based interpolation on tetrahedra. Zbl 1426.65181
Melenk, J. M.; Rojik, C.
2020
Analysis of two-grid methods: the nonnormal case. Zbl 1427.65037
Notay, Yvan
2020
Stability of the Stokes projection on weighted spaces and applications. Zbl 1437.35572
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J.
2020
New analytical tools for HDG in elasticity, with applications to elastodynamics. Zbl 1436.65177
Du, Shukai; Sayas, Francisco-Javier
2020
Numerical integration on graphs: where to sample and how to weigh. Zbl 1437.05143
Linderman, George C.; Steinerberger, Stefan
2020
Large time behaviors of upwind schemes and $$B$$-schemes for Fokker-Planck equations on $$\mathbb{R}$$ by jump processes. Zbl 1442.65214
Li, Lei; Liu, Jian-Guo
2020
Explicit Coleman integration for curves. Zbl 1460.30015
Balakrishnan, Jennifer S.; Tuitman, Jan
2020
Collective marking for adaptive least-squares finite element methods with optimal rates. Zbl 1426.65171
Carstensen, Carsten
2020
Spectral discretization errors in filtered subspace iteration. Zbl 1436.65067
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey
2020
On the torsion of rational elliptic curves over sextic fields. Zbl 1459.11132
Daniels, Harris B.; González-Jiménez, Enrique
2020
The syzygy theorem for Bézout rings. Zbl 1439.13033
Gamanda, Maroua; Lombardi, Henri; Neuwirth, Stefan; Yengui, Ihsen
2020
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### Cited by 43,086 Authors

 170 Shu, Chi-Wang 164 Dehghan Takht Fooladi, Mehdi 133 He, Yinnian 128 Argyros, Ioannis Konstantinos 121 Huang, Yunqing 113 Chen, Yanping 111 Carstensen, Carsten 105 Zhang, Zhimin 103 Cockburn, Bernardo 95 Gatica, Gabriel N. 94 Schwab, Christoph 92 Reichel, Lothar 86 Zhang, Shangyou 85 Dumbser, Michael 83 Shparlinski, Igor E. 82 Sloan, Ian Hugh 81 Burman, Erik 77 Chung, Tsz Shun Eric 77 Xu, Jinchao 75 Nochetto, Ricardo Horacio 74 Brenner, Susanne Cecelia 74 Stynes, Martin 74 Ye, Xiu 71 Guo, Ben-Yu 71 Li, Jichun 70 Ma, Changfeng 69 Shi, Dongyang 69 Wang, Hong 65 Praetorius, Dirk 62 Rebholz, Leo G. 62 Shen, Jie 60 Demkowicz, Leszek F. 60 Stephan, Ernst Peter 59 Ern, Alexandre 59 Milovanović, Gradimir V. 59 Pan, Victor Yakovlevich 59 Qiu, Jianxian 58 Serra-Capizzano, Stefano 57 Farouki, Rida T. 57 Gunzburger, Max D. 57 Hou, Yanren 57 Wang, Cheng 57 Xu, Da 56 Brunner, Hermann 55 Dick, Josef 55 Jackiewicz, Zdzislaw 55 Sidi, Avram 53 Di Pietro, Daniele Antonio 53 Feng, Xinlong 53 Guermond, Jean-Luc 53 Nordström, Jan 53 Xu, Yuesheng 52 Du, Qiang 52 Niederreiter, Harald 52 Srivastava, Hari Mohan 52 Vohralík, Martin 52 Wohlmuth, Barbara I. 52 Xiang, Shuhuang 51 Axelsson, Axel Owe Holger 51 Babuška, Ivo 51 Bai, Zhongzhi 51 Chen, Zhangxin 51 Pillichshammer, Friedrich 51 Repin, Sergeĭ Igorevich 51 Sayas, Francisco-Javier 50 Bramble, James H. 50 Huang, Ting-Zhu 50 Hughes, Thomas J. R. 49 Brezinski, Claude 49 Kadalbajoo, Mohan K. 49 Nicaise, Serge 49 Rui, Hongxing 49 Stevenson, Rob P. 49 Woźniakowski, Henryk 49 Zhang, Guofeng 48 Gautschi, Walter 48 Li, Jian 48 Rodríguez, Rodolfo 48 Wei, Yimin 48 Yang, Xiaofeng 47 George, Santhosh 47 Hansbo, Peter 47 Pomerance, Carl Bernard 47 Xie, Hehu 47 Yang, Yidu 46 Bultheel, Adhemar François 46 Butcher, John C. 46 Kuo, Frances Y. 46 Li, Buyang 46 Lubich, Christian 46 Petković, Miodrag S. 46 Quarteroni, Alfio M. 45 Layton, William J. 45 Ruiz-Baier, Ricardo 45 Xu, Yan 44 Liu, Hailiang 44 Wang, Junping 44 Yang, Danping 43 Abbaszadeh, Mostafa 43 Beirão da Veiga, Lourenço ...and 42,986 more Authors
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 3,116 Journal of Computational and Applied Mathematics 3,092 Mathematics of Computation 2,788 Journal of Computational Physics 2,098 Applied Mathematics and Computation 1,892 Computer Methods in Applied Mechanics and Engineering 1,638 Numerische Mathematik 1,635 Computers & Mathematics with Applications 1,583 Applied Numerical Mathematics 1,496 Journal of Scientific Computing 900 Linear Algebra and its Applications 849 Numerical Algorithms 721 Journal of Number Theory 660 Computers and Fluids 655 SIAM Journal on Scientific Computing 641 Journal of Mathematical Analysis and Applications 625 BIT 574 SIAM Journal on Numerical Analysis 449 Journal of Approximation Theory 438 Computing 437 Advances in Computational Mathematics 418 Engineering Analysis with Boundary Elements 385 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 341 Numerical Methods for Partial Differential Equations 338 Calcolo 331 Journal of Symbolic Computation 329 Journal of Complexity 319 International Journal of Computer Mathematics 284 Applied Mathematics Letters 273 Mathematics and Computers in Simulation 266 Applied Mathematical Modelling 257 International Journal for Numerical Methods in Engineering 242 Computer Aided Geometric Design 237 Journal of Algebra 237 Journal of Optimization Theory and Applications 234 Proceedings of the American Mathematical Society 226 Computational and Applied Mathematics 214 Communications in Computational Physics 208 Computational Mechanics 202 International Journal of Number Theory 193 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 190 Transactions of the American Mathematical Society 190 Computational Optimization and Applications 177 Numerical Linear Algebra with Applications 169 Applied and Computational Harmonic Analysis 168 Computational Methods in Applied Mathematics 163 Foundations of Computational Mathematics 161 Finite Fields and their Applications 155 Journal de Théorie des Nombres de Bordeaux 154 BIT. Nordisk Tidskrift for Informationsbehandling 153 Mathematical Problems in Engineering 153 Advances in Applied Mathematics and Mechanics 150 Numerical Functional Analysis and Optimization 148 The Ramanujan Journal 147 Journal of Fluid Mechanics 146 International Journal for Numerical Methods in Fluids 146 RAIRO. Modélisation Mathématique et Analyse Numérique 145 Discrete Mathematics 140 Theoretical Computer Science 138 SIAM Journal on Matrix Analysis and Applications 137 Mathematical Methods in the Applied Sciences 135 Science China. Mathematics 133 Constructive Approximation 133 Mathematical and Computer Modelling 133 Journal of Applied Mathematics and Computing 129 Abstract and Applied Analysis 128 Journal of Differential Equations 128 Experimental Mathematics 124 Japan Journal of Industrial and Applied Mathematics 123 Rocky Mountain Journal of Mathematics 123 Journal of Inequalities and Applications 121 Journal of Integral Equations and Applications 119 Designs, Codes and Cryptography 118 Computational Geosciences 116 Bulletin of the Australian Mathematical Society 113 Comptes Rendus. Mathématique. Académie des Sciences, Paris 113 Multiscale Modeling & Simulation 109 Physica D 107 Communications in Numerical Methods in Engineering 103 Applied Mathematics and Mechanics. (English Edition) 103 Mathematical Programming. Series A. Series B 103 Journal of Mathematical Sciences (New York) 102 Applicable Analysis 102 LMS Journal of Computation and Mathematics 100 Advances in Difference Equations 99 Applications of Mathematics 98 Communications in Nonlinear Science and Numerical Simulation 97 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 92 Journal of Numerical Mathematics 89 Computer Physics Communications 89 Journal of Combinatorial Theory. Series A 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 85 Advances in Mathematics 84 Inverse Problems 81 Mathematical Programming 81 Applicable Algebra in Engineering, Communication and Computing 80 Archive for Rational Mechanics and Analysis 80 Automatica 79 Monatshefte für Mathematik 79 Journal of Global Optimization 78 Results in Mathematics ...and 1,047 more Journals
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### Cited in 63 Fields

 32,183 Numerical analysis (65-XX) 12,197 Partial differential equations (35-XX) 7,900 Fluid mechanics (76-XX) 6,167 Number theory (11-XX) 3,312 Approximations and expansions (41-XX) 3,057 Mechanics of deformable solids (74-XX) 2,536 Ordinary differential equations (34-XX) 2,226 Operations research, mathematical programming (90-XX) 2,152 Computer science (68-XX) 1,947 Linear and multilinear algebra; matrix theory (15-XX) 1,658 Calculus of variations and optimal control; optimization (49-XX) 1,595 Special functions (33-XX) 1,562 Information and communication theory, circuits (94-XX) 1,500 Integral equations (45-XX) 1,474 Probability theory and stochastic processes (60-XX) 1,335 Algebraic geometry (14-XX) 1,307 Harmonic analysis on Euclidean spaces (42-XX) 1,213 Combinatorics (05-XX) 1,096 Statistics (62-XX) 1,058 Optics, electromagnetic theory (78-XX) 1,056 Operator theory (47-XX) 965 Real functions (26-XX) 792 Group theory and generalizations (20-XX) 791 Statistical mechanics, structure of matter (82-XX) 785 Functions of a complex variable (30-XX) 772 Dynamical systems and ergodic theory (37-XX) 696 Biology and other natural sciences (92-XX) 645 Systems theory; control (93-XX) 594 Field theory and polynomials (12-XX) 517 Quantum theory (81-XX) 508 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 498 Classical thermodynamics, heat transfer (80-XX) 458 Geophysics (86-XX) 421 Functional analysis (46-XX) 419 Commutative algebra (13-XX) 315 Convex and discrete geometry (52-XX) 314 Mechanics of particles and systems (70-XX) 273 Difference and functional equations (39-XX) 263 Associative rings and algebras (16-XX) 262 Integral transforms, operational calculus (44-XX) 255 Global analysis, analysis on manifolds (58-XX) 210 Potential theory (31-XX) 194 Differential geometry (53-XX) 187 Manifolds and cell complexes (57-XX) 179 Sequences, series, summability (40-XX) 164 Measure and integration (28-XX) 125 Geometry (51-XX) 113 History and biography (01-XX) 96 Relativity and gravitational theory (83-XX) 90 Nonassociative rings and algebras (17-XX) 80 General and overarching topics; collections (00-XX) 76 Topological groups, Lie groups (22-XX) 73 Several complex variables and analytic spaces (32-XX) 70 Abstract harmonic analysis (43-XX) 68 Mathematical logic and foundations (03-XX) 64 Astronomy and astrophysics (85-XX) 59 Order, lattices, ordered algebraic structures (06-XX) 52 $$K$$-theory (19-XX) 46 General topology (54-XX) 46 Algebraic topology (55-XX) 24 Mathematics education (97-XX) 22 Category theory; homological algebra (18-XX) 13 General algebraic systems (08-XX)