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BIT

Numerical Mathematics

Short Title: BIT
Publisher: Springer Netherlands, Dordrecht
ISSN: 0006-3835; 1572-9125/e
Online: http://link.springer.com/journal/volumesAndIssues/10543
Predecessor: BIT. Nordisk Tidskrift for Informationsbehandling
Comments: Indexed cover-to-cover
Documents Indexed: 2,150 Publications (since 1981)
References Indexed: 1,834 Publications with 35,016 References.
all top 5

Latest Issues

62, No. 2 (2022)
62, No. 1 (2022)
61, No. 4 (2021)
61, No. 3 (2021)
61, No. 2 (2021)
61, No. 1 (2021)
60, No. 4 (2020)
60, No. 3 (2020)
60, No. 2 (2020)
60, No. 1 (2020)
59, No. 4 (2019)
59, No. 3 (2019)
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59, No. 1 (2019)
58, No. 4 (2018)
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46, Suppl. (2006)
45, No. 4 (2005)
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44, No. 4 (2004)
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43, No. 4 (2003)
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43, Suppl. (2003)
42, No. 4 (2002)
42, No. 3 (2002)
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42, No. 1 (2002)
41, No. 4 (2001)
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40, No. 4 (2000)
40, No. 3 (2000)
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40, No. 1 (2000)
39, No. 4 (1999)
39, No. 3 (1999)
39, No. 2 (1999)
39, No. 1 (1999)
38, No. 4 (1998)
38, No. 3 (1998)
38, No. 2 (1998)
38, No. 1 (1998)
...and 45 more Volumes
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Authors

28 Reichel, Lothar
22 Butcher, John C.
19 Hairer, Ernst
19 Lubich, Christian
16 Golub, Gene Howard
14 Gautschi, Walter
14 Hansen, Per Christian
14 Rump, Siegfried Michael
13 Burrage, Kevin
11 Söderlind, Gustaf
10 Eldén, Lars
10 Higham, Desmond J.
10 Hundsdorfer, Willem H.
10 Iserles, Arieh
10 Nevanlinna, Olavi
10 Sakai, Manabu
9 Nørsett, Syvert Paul
9 Ostermann, Alexander
9 Usmani, Riaz A.
8 Auzinger, Winfried
8 Chawla, Man M.
8 Higham, Nicholas J.
8 Jackiewicz, Zdzislaw
8 Jin, Xiaoqing
8 Kvaerno, Anne
8 Li, Rencang
8 Serra-Capizzano, Stefano
8 Simoncini, Valeria
7 Brunner, Hermann
7 Dagnino, Catterina
7 Dahlquist, Germund
7 Gander, Martin Jakob
7 Hiptmair, Ralf
7 Lötstedt, Per
7 Mäkinen, Erkki
7 Sbibih, Driss
7 Spijker, Marc N.
7 Trefethen, Lloyd Nicholas
7 Watson, G. Alistair
7 Weiner, Rüdiger
7 Zha, Hongyuan
6 Axelsson, Axel Owe Holger
6 Bai, Zhongzhi
6 Benzi, Michele
6 Calvetti, Daniela
6 Calvo, Manuel
6 Debrabant, Kristian
6 Huhtanen, Marko
6 Jeltsch, Rolf
6 Katajainen, Jyrki
6 Kressner, Daniel
6 Larsson, Stig
6 Lyness, James N.
6 Mehrmann, Volker
6 Meurant, Gérard A.
6 Ng, Michael Kwok-Po
6 Owren, Brynjulf
6 Pryce, John D.
6 Quispel, Gilles Reinout Willem
6 Rabinowitz, Philip
6 Reich, Sebastian
6 Remogna, Sara
6 Renaut, Rosemary Anne
6 Riesel, Hans
6 Schmidt, Jochen Wilhelm
6 Smith, Harry V.
6 Stynes, Martin
5 Bakaev, Nikolai Yu.
5 Björck, Åke
5 Chartier, Philippe
5 Costabile, Francesco Aldo
5 Cuminato, José Alberto
5 Duff, Iain S.
5 Espelid, Terje O.
5 Evans, David John
5 Favati, Paola
5 González-Pinto, Severiano
5 Hadjidimos, Apostolos
5 Hoang, Nguyen Si
5 Hong, Jialin
5 Huang, Shou-Hsuan Stephen
5 Huckle, Thomas Kilian
5 in ’t Hout, Karel J.
5 Jimenez, Juan Carlos
5 Kloeden, Peter Eris
5 Lee, Richard Chia-Tung
5 Mazzia, Francesca
5 McLachlan, Robert I.
5 Mitsui, Taketomo
5 Montijano, Juan Ignacio
5 Park, Haesun
5 Peña, Juan Manuel
5 Ramage, Alison
5 Risebro, Nils Henrik
5 Ruhe, Axel
5 Sablonnière, Paul
5 Sand, Jorgen
5 Skelboe, Stig
5 Smoktunowicz, Alicja
5 Sørevik, Tor
...and 2,301 more Authors
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Fields

1,751 Numerical analysis (65-XX)
382 Ordinary differential equations (34-XX)
307 Partial differential equations (35-XX)
301 Computer science (68-XX)
211 Approximations and expansions (41-XX)
131 Linear and multilinear algebra; matrix theory (15-XX)
109 Probability theory and stochastic processes (60-XX)
76 Dynamical systems and ergodic theory (37-XX)
71 Integral equations (45-XX)
68 Operations research, mathematical programming (90-XX)
48 Fluid mechanics (76-XX)
39 Functions of a complex variable (30-XX)
38 Combinatorics (05-XX)
36 Operator theory (47-XX)
34 Optics, electromagnetic theory (78-XX)
31 Real functions (26-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
30 Mechanics of particles and systems (70-XX)
30 Information and communication theory, circuits (94-XX)
26 Special functions (33-XX)
25 Number theory (11-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
25 Statistics (62-XX)
21 Mechanics of deformable solids (74-XX)
15 Field theory and polynomials (12-XX)
14 Integral transforms, operational calculus (44-XX)
14 Biology and other natural sciences (92-XX)
13 Systems theory; control (93-XX)
12 Convex and discrete geometry (52-XX)
11 Mathematical logic and foundations (03-XX)
10 General and overarching topics; collections (00-XX)
9 History and biography (01-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Quantum theory (81-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Sequences, series, summability (40-XX)
5 Difference and functional equations (39-XX)
5 Geometry (51-XX)
5 Differential geometry (53-XX)
5 Geophysics (86-XX)
4 Topological groups, Lie groups (22-XX)
4 Functional analysis (46-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

1,806 Publications have been cited 17,981 times in 12,959 Documents Cited by Year
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
164
2000
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
161
2001
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
138
1988
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
133
2014
Phase properties of high order, almost P-stable formulae. Zbl 0569.65052
Thomas, R. M.
132
1984
A four-step phase-fitted method for the numerical integration of second order initial-value problems. Zbl 0726.65089
Raptis, A. D.; Simos, T. E.
124
1991
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
105
2002
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
103
2004
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035
Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A.
91
1996
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
87
1998
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
87
2000
Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. Zbl 0573.68018
Arnborg, Stefan
86
1985
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
83
1989
Contractivity of Runge-Kutta methods. Zbl 0763.65059
Kraaijevanger, J. F. B. M.
81
1991
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
81
1988
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
78
1987
Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038
Needell, Deanna
76
2010
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
75
2004
RD-rational approximations of the matrix exponential. Zbl 1075.65062
Moret, I.; Novati, P.
73
2004
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
72
1984
Numerov made explicit has better stability. Zbl 0568.65042
Chawla, M. M.
71
1984
Runge-Kutta methods on Lie groups. Zbl 0904.65077
Munthe-Kaas, Hans
70
1998
The power of geometric duality. Zbl 0603.68072
Chazelle, Bernard; Guibas, Leo J.; Lee, D. T.
70
1985
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
66
2006
A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019
Elden, Lars
65
1982
The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078
Kuang, J. X.; Xiang, J. X.; Tian, H. J.
65
1994
A note on \(Q\)-order of convergence. Zbl 0973.40001
Jay, L. O.
64
2001
A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039
Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf
64
1988
Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055
Chawla, M. M.
63
1983
An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059
Voss, H.
60
2004
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
59
2003
A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069
in’t Hout, Karel J.
59
1992
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
59
1994
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
58
1987
Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007
Schmidt, Jochen W.; Heß, Walter
58
1988
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
55
2005
Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062
Hu, Guang-Da; Mitsui, Taketomo
55
1995
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O.
54
1985
Intervals of periodicity and absolute stability of explicit Nyström methods for y”=f(x,y). Zbl 0469.65048
Chawla, M. M.; Sharma, S. R.
54
1981
Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028
Olver, S.
54
2007
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
53
2003
New iterations of \(R\)-order four with reduced computational cost. Zbl 1170.65038
Ezquerro, J. A.; Hernández, M. A.
53
2009
Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175
Cohen, David; Hairer, Ernst
53
2011
A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010
Chand, A. K. B.; Viswanathan, P.
51
2013
\(A\)-stability and stochastic mean-square stability. Zbl 0961.65003
Higham, Desmond J.
49
2000
The logarithmic norm. History and modern theory. Zbl 1102.65088
Söderlind, Gustaf
48
2006
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
48
1991
Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074
Ekolin, Gunnar
48
1991
Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart
48
2014
A class of explicit exponential general linear methods. Zbl 1103.65061
Ostermann, A.; Thalhammer, M.; Wright, W. M.
47
2006
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
47
1990
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
46
2000
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
45
2011
Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008
Piessens, Robert; Branders, Maria
45
1983
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030
Serra, Stefano
45
1994
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
44
2006
The stability of rational approximations of analytic semigroups. Zbl 0783.65050
Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V.
44
1993
High order explicit methods for parabolic equations. Zbl 0909.65060
Medovikov, Alexei A.
44
1998
Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. Zbl 1078.65552
Layton, Anita T.; Minion, Michael L.
44
2005
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
44
1999
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
44
1988
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
43
1991
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z.
43
1993
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
42
1997
Order \(h^ 2\) method for a singular two-point boundary value problem. Zbl 0602.65063
Chawla, M. M.; McKee, S.; Shaw, G.
42
1986
Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037
Hansen, Eldon; Sengupta, Saumyendra
42
1981
A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079
Chawla, M. M.; Subramanian, R.; Sathi, H. L.
42
1988
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
42
1994
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M.
41
2003
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
41
2012
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
41
1999
Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044
Boppana, Ravi; Halldórsson, Magnús M.
41
1992
Remarks on Picard-Lindelöf iteration. Zbl 0673.65037
Nevanlinna, Olavi
41
1989
Relationship between tetrahedron shape measures. Zbl 0806.65104
Liu, A.; Joe, B.
41
1994
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
41
2014
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
40
2001
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
40
2015
A simple structural analysis method for DAEs. Zbl 0989.34005
Pryce, J. D.
39
2001
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
39
2016
High order splitting methods for analytic semigroups exist. Zbl 1176.65066
Hansen, Eskil; Ostermann, Alexander
39
2009
Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. Zbl 1091.65028
Waldvogel, Jörg
38
2006
A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations. Zbl 0805.65083
Koto, T.
38
1994
A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056
Cao, Yang; Ren, Zhi-Ru; Shi, Quan
38
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
38
2015
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang
38
2007
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
37
2003
Reducibility and contractivity of Runge-Kutta methods revisited. Zbl 1106.65062
Dahlquist, Germund; Jeltsch, Rolf
37
2006
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
37
1984
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
37
2014
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
37
2007
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
37
2007
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
36
2002
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
36
1982
On the stability of semi-implicit methods for ordinary differential equations. Zbl 0489.65046
Hairer, E.; Bader, G.; Lubich, Ch.
36
1982
Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098
Joe, B.; Simpson, R. B.
36
1987
On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages. Zbl 1187.65076
Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L.
36
2010
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
36
2009
Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise. Zbl 1080.65006
Yan, Yubin
35
2004
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
35
2011
New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index. Zbl 1093.65097
Rang, J.; Angermann, L.
35
2005
An unconventional robust integrator for dynamical low-rank approximation. Zbl 1481.65068
Ceruti, Gianluca; Lubich, Christian
3
2022
Randomized Kaczmarz with averaging. Zbl 1460.15005
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna
6
2021
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. Zbl 1472.65159
Wang, Bin; Wu, Xinyuan
3
2021
Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 07349675
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
3
2021
Efficient exponential Runge-Kutta methods of high order: construction and implementation. Zbl 1471.65069
Luan, Vu Thai
3
2021
Power boundedness in the maximum norm of stability matrices for ADI methods. Zbl 07381114
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.
2
2021
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. Zbl 1461.65026
af Klinteberg, Ludvig; Barnett, Alex H.
2
2021
Dirichlet-Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains. Zbl 1466.65111
Gander, Martin J.; Kwok, Felix; Mandal, Bankim C.
2
2021
Rational Krylov for Stieltjes matrix functions: convergence and pole selection. Zbl 1461.65064
Massei, Stefano; Robol, Leonardo
2
2021
Numerical conservative solutions of the Hunter-Saxton equation. Zbl 1465.35351
Grunert, Katrin; Nordli, Anders; Solem, Susanne
2
2021
Optimal quadratic element on rectangular grids for \(H^1\) problems. Zbl 1472.65150
Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo
2
2021
Block boundary value methods for linear weakly singular Volterra integro-differential equations. Zbl 1472.65170
Zhou, Yongtao; Stynes, Martin
2
2021
Variational time discretizations of higher order and higher regularity. Zbl 1472.65082
Becher, Simon; Matthies, Gunar
1
2021
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators. Zbl 1472.65013
Jin, Sixian; Kobayashi, Kei
1
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
1
2021
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality. Zbl 1480.65347
Wang, Fei; Shah, Sheheryar; Xiao, Wenqiang
1
2021
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. Zbl 1481.65168
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming
1
2021
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong
1
2021
A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. Zbl 1460.35326
Henning, Patrick; Wärnegård, Johan
1
2021
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems. Zbl 1461.65255
Zhang, Yabin; Gillman, Adrianna
1
2021
On optimal adaptive quadratures for automatic integration. Zbl 07349676
Goćwin, Maciej
1
2021
A numerical study of variational discretizations of the Camassa-Holm equation. Zbl 1477.35212
Galtung, Sondre Tesdal; Grunert, Katrin
1
2021
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 07430401
Zheng, Xiangcheng; Wang, Hong
1
2021
Fractional-order general Lagrange scaling functions and their applications. Zbl 1443.44003
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab Ali
9
2020
Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368
De Marchi, S.; Marchetti, F.; Perracchione, E.
8
2020
Mean-square convergence rates of stochastic theta methods for SDEs under a coupled monotonicity condition. Zbl 1469.65033
Wang, Xiaojie; Wu, Jiayi; Dong, Bozhang
8
2020
Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann-Liouville-Caputo fractional derivative. Zbl 1442.65130
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin
6
2020
Maximum angles of \(\mathrm{A}(\vartheta)\)-stability of backward difference formulae. Zbl 1431.65104
Akrivis, Georgios; Katsoprinakis, Emmanouil
4
2020
Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213
Burman, Erik; Hansbo, Peter; Larson, Mats G.
4
2020
Nonstandard finite element de Rham complexes on cubical meshes. Zbl 1447.65140
Gillette, Andrew; Hu, Kaibo; Zhang, Shuo
3
2020
Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation. Zbl 1445.60043
Bréhier, Charles-Edouard; Goudenège, Ludovic
3
2020
Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. Zbl 1446.65037
Ceruti, Gianluca; Lubich, Christian
3
2020
Entropy stable numerical approximations for the isothermal and polytropic Euler equations. Zbl 1446.65134
Winters, Andrew R.; Czernik, Christof; Schily, Moritz B.; Gassner, Gregor J.
3
2020
A geometric Gauss-Newton method for least squares inverse eigenvalue problems. Zbl 1452.65072
Yao, Teng-Teng; Bai, Zheng-Jian; Jin, Xiao-Qing; Zhao, Zhi
3
2020
Symplectic dynamical low rank approximation of wave equations with random parameters. Zbl 1479.65009
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva
3
2020
Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. Zbl 1432.65053
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar
3
2020
Affine zipper fractal interpolation functions. Zbl 1439.28010
Chand, A. K. B.; Vijender, N.; Viswanathan, P.; Tetenov, A. V.
2
2020
Poincaré-Friedrichs inequalities of complexes of discrete distributional differential forms. Zbl 1447.65131
Christiansen, Snorre H.; Licht, Martin W.
2
2020
Exact BDF stability angles with Maple. Zbl 1451.65093
Gander, Martin J.; Wanner, Gerhard
2
2020
Automated local Fourier analysis (aLFA). Zbl 1446.65194
Kahl, Karsten; Kintscher, Nils
2
2020
Analysis of an approximation to a fractional extension problem. Zbl 1470.65108
Padgett, Joshua L.
2
2020
A minimal-variable symplectic method for isospectral flows. Zbl 1448.37107
Viviani, Milo
2
2020
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. Zbl 1446.65154
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng
2
2020
Quantifying the ill-conditioning of analytic continuation. Zbl 1461.30014
Trefethen, Lloyd N.
2
2020
Semi-implicit Euler-Maruyama method for non-linear time-changed stochastic differential equations. Zbl 1469.65028
Deng, Chang-Song; Liu, Wei
2
2020
Inexact methods for the low rank solution to large scale Lyapunov equations. Zbl 1455.65050
Kürschner, Patrick; Freitag, Melina A.
2
2020
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian
1
2020
On a class of \(L\)-splines of order 4: fast algorithms for interpolation and smoothing. Zbl 1455.65027
Kounchev, O.; Render, H.; Tsachev, T.
1
2020
Study of micro-macro acceleration schemes for linear slow-fast stochastic differential equations with additive noise. Zbl 1455.65015
Debrabant, Kristian; Samaey, Giovanni; Zieliński, Przemysław
1
2020
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. Zbl 1472.60111
Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E.
1
2020
Approximation of the matrix exponential for matrices with a skinny field of values. Zbl 1455.65069
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
1
2020
Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations. Zbl 1431.65120
Chandhini, G.; Prashanthi, K. S.; Vijesh, V. Antony
1
2020
Numerical upscaling of discrete network models. Zbl 1431.65208
Kettil, G.; Målqvist, A.; Mark, A.; Fredlund, M.; Wester, K.; Edelvik, F.
1
2020
A new version of a preconditioning method for certain two-by-two block matrices with square blocks. Zbl 07074115
Axelsson, Owe; Salkuyeh, Davod Khojasteh
16
2019
On Motzkin’s method for inconsistent linear systems. Zbl 1435.65051
Haddock, Jamie; Needell, Deanna
9
2019
On Milstein approximations with varying coefficients: the case of super-linear diffusion coefficients. Zbl 07137086
Kumar, Chaman; Sabanis, Sotirios
8
2019
Explicit computational wave propagation in micro-heterogeneous media. Zbl 1419.65041
Maier, Roland; Peterseim, Daniel
7
2019
Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives. Zbl 1482.65151
Ranocha, Hendrik
7
2019
On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
7
2019
Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations. Zbl 1418.60057
Guo, Ping; Li, Chong-Jun
7
2019
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058
Pozza, Stefano; Simoncini, Valeria
7
2019
Spectral properties of flipped Toeplitz matrices and related preconditioning. Zbl 1417.15045
Mazza, M.; Pestana, J.
6
2019
A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin
6
2019
A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions. Zbl 1433.65165
Ridder, J.; Ruf, A. M.
5
2019
Pricing multi-asset option problems: a Chebyshev pseudo-spectral method. Zbl 1419.91654
Soleymani, Fazlollah
5
2019
Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems. Zbl 1432.65033
Yang, Ai-Li; Cao, Yang; Wu, Yu-Jiang
5
2019
Rank one interval enclosure of the parametric united solution set. Zbl 1415.65110
Popova, Evgenija D.
4
2019
Flexible GMRES for total variation regularization. Zbl 1420.65021
Gazzola, Silvia; Sabaté Landman, Malena
4
2019
On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case. Zbl 1480.65017
Li, Libo; Taguchi, Dai
4
2019
A stabilised finite element method for the plate obstacle problem. Zbl 1433.65295
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha
4
2019
Gaussian kernel quadrature at scaled Gauss-Hermite nodes. Zbl 1437.65012
Karvonen, Toni; Särkkä, Simo
4
2019
Directional total generalized variation regularization. Zbl 1429.49035
Kongskov, Rasmus Dalgas; Dong, Yiqiu; Knudsen, Kim
4
2019
Computation of matrix gamma function. Zbl 07074116
Cardoso, João R.; Sadeghi, Amir
3
2019
Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation. Zbl 1433.60073
Blömker, Dirk; Kamrani, Minoo
3
2019
Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems. Zbl 1442.65059
Chiang, Chun-Yueh; Lin, Matthew M.; Jin, Xiao-Qing
3
2019
Multivariate data fitting with error control. Zbl 1411.41013
Cuyt, Annie; Salazar Celis, Oliver
3
2019
Krylov integrators for Hamiltonian systems. Zbl 1435.65228
Eirola, Timo; Koskela, Antti
3
2019
Stability and convergence of a conservative finite difference scheme for the modified Hunter-Saxton equation. Zbl 1416.65282
Sato, Shun
3
2019
Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes. Zbl 1427.65242
Du, Jie; Yang, Yang; Chung, Eric
3
2019
Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations. Zbl 1416.65075
Majidian, Hassan
2
2019
The time-fractional diffusion inverse problem subject to an extra measurement by a local discontinuous Galerkin method. Zbl 1420.65097
Qasemi, Samaneh; Rostamy, Davood; Abdollahi, Nazdar
2
2019
Central orderings for the Newton interpolation formula. Zbl 1416.41001
Carnicer, J. M.; Khiar, Y.; Peña, J. M.
1
2019
Extended and rational Hessenberg methods for the evaluation of matrix functions. Zbl 07074125
Ramezani, Z.; Toutounian, F.
1
2019
New stability results for explicit Runge-Kutta methods. Zbl 1420.65076
Ait-Haddou, Rachid
1
2019
Weak backward error analysis for stochastic Hamiltonian systems. Zbl 07106589
Anton, Cristina
1
2019
Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1420.65045
Diao, Huai-An; Meng, Qing-Le
1
2019
Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem. Zbl 1433.65212
Huang, Chaobao; Stynes, Martin; An, Na
21
2018
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
17
2018
Time filters increase accuracy of the fully implicit method. Zbl 1444.65026
Guzel, Ahmet; Layton, William
14
2018
Energy behaviour of the Boris method for charged-particle dynamics. Zbl 1404.65309
Hairer, Ernst; Lubich, Christian
12
2018
Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems. Zbl 1397.65102
Kopecz, Stefan; Meister, Andreas
11
2018
Efficient preconditioner of one-sided space fractional diffusion equation. Zbl 1404.65136
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
11
2018
Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise. Zbl 1405.65147
Bolin, David; Kirchner, Kristin; Kovács, Mihály
10
2018
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
10
2018
Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations. Zbl 1398.65243
Ahmadinia, M.; Safari, Z.; Fouladi, S.
8
2018
Robust three-field finite element methods for Biot’s consolidation model in poroelasticity. Zbl 1428.65044
Lee, Jeonghun J.
8
2018
Solution methods for linear discrete ill-posed problems for color image restoration. Zbl 1402.65031
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Onunwor, E.; Reichel, L.
6
2018
Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion. Zbl 1395.65151
Rahimian, Abtin; Barnett, Alex; Zorin, Denis
5
2018
Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices. Zbl 1405.65051
Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano
4
2018
Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials. Zbl 06858774
Notaris, Sotirios E.
4
2018
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154 Simos, Theodore E.
121 Reichel, Lothar
67 Jackiewicz, Zdzislaw
64 Wei, Yimin
63 Argyros, Ioannis Konstantinos
57 Wu, Xinyuan
55 Huang, Ting-Zhu
54 Serra-Capizzano, Stefano
52 Weiner, Rüdiger
47 Ostermann, Alexander
44 Xiang, Shuhuang
44 Zhang, Chengjian
42 Dehghan Takht Fooladi, Mehdi
40 Lubich, Christian
39 D’Ambrosio, Raffaele
39 Huang, Chengming
36 Chand, Arya Kumar Bedabrata
36 Simoncini, Valeria
36 Wang, Wansheng
35 Burrage, Kevin
35 Zhang, Guofeng
34 Butcher, John C.
34 Hairer, Ernst
34 Jia, Zhongxiao
34 Li, Shoufu
34 Spalević, Miodrag M.
33 Bai, Zhongzhi
32 Paternoster, Beatrice
32 Spijker, Marc N.
30 Petković, Miodrag S.
30 Xiao, Aiguo
28 Hadjidimos, Apostolos
28 Wen, Liping
27 Abdi, Ali
27 Cao, Yang
27 Ma, Changfeng
27 Wang, Bin
26 Donatelli, Marco
26 Gan, Siqing
26 Sharma, Janak Raj
25 Blanes, Sergio
25 Gander, Martin Jakob
24 Auzinger, Winfried
24 Hundsdorfer, Willem H.
24 Iserles, Arieh
24 Khaliq, Abdul Q. M.
24 Sandu, Adrian
24 Zhao, Jingjun
23 Axelsson, Axel Owe Holger
23 González-Pinto, Severiano
23 Jin, Xiaoqing
23 Kloeden, Peter Eris
23 Milovanović, Gradimir V.
23 Sgallari, Fiorella
23 Xu, Yang
22 Brugnano, Luigi
22 Celledoni, Elena
22 Conti, Costanza
22 Diao, Huaian
22 Ding, Xiaohua
22 Gu, Xian-Ming
22 Hansen, Per Christian
22 Li, Rencang
22 Montijano, Juan Ignacio
22 Owren, Brynjulf
22 Tian, Hongjiong
21 Kressner, Daniel
21 Li, Buyang
21 Minion, Michael L.
21 Sanz-Serna, Jesús María
21 Schmitt, Bernhard A.
20 Brunner, Hermann
20 Calvo, Manuel
20 Conte, Dajana
20 Higham, Nicholas J.
20 Hojjati, Gholamreza
20 Jentzen, Arnulf
20 Ju, Lili
20 Koch, Othmar
20 Li, Hanyu
20 Liang, Zhaozheng
20 Mao, Xuerong
20 Owolabi, Kolade Matthew
20 Viswanathan, Puthan Veedu
20 Wu, Yujiang
19 Benzi, Michele
19 Casas, Fernando
19 Debrabant, Kristian
19 Garrappa, Roberto
19 Han, Xuli
19 Hu, Guangda
19 Jbilou, Khalide
19 Jiang, Yaolin
19 Ketcheson, David I.
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19 Murua, Ander
19 Rández, Luis
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19 Yang, Aili
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