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BIT

Numerical Mathematics

Short Title: BIT
Publisher: Springer Netherlands, Dordrecht
ISSN: 0006-3835; 1572-9125/e
Online: https://link.springer.com/journal/10543/volumes-and-issues
Predecessor: BIT. Nordisk Tidskrift for Informationsbehandling
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 2,289 Publications (since 1981)
References Indexed: 1,972 Publications with 39,861 References.
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Latest Issues

64, No. 3 (2024)
64, No. 2 (2024)
64, No. 1 (2024)
63, No. 4 (2023)
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46, Suppl. (2006)
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42, No. 1 (2002)
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41, No. 1 (2001)
40, No. 4 (2000)
40, No. 3 (2000)
40, No. 2 (2000)
...and 54 more Volumes
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Authors

28 Reichel, Lothar
22 Butcher, John C.
22 Lubich, Christian
19 Hairer, Ernst
16 Golub, Gene Howard
16 Rump, Siegfried Michael
14 Burrage, Kevin
14 Gautschi, Walter
14 Hansen, Per Christian
11 Sakai, Manabu
11 Söderlind, Gustaf
10 Eldén, Lars
10 Higham, Desmond J.
10 Hundsdorfer, Willem H.
10 Iserles, Arieh
10 Jin, Xiaoqing
10 Nevanlinna, Olavi
9 Kressner, Daniel
9 Kvaerno, Anne
9 Nørsett, Syvert Paul
9 Ostermann, Alexander
9 Serra-Capizzano, Stefano
9 Usmani, Riaz A.
8 Auzinger, Winfried
8 Chawla, Man M.
8 Gander, Martin Jakob
8 Higham, Nicholas J.
8 Jackiewicz, Zdzislaw
8 Li, Rencang
8 Simoncini, Valeria
8 Stynes, Martin Joseph
8 Trefethen, Lloyd Nicholas
7 Brunner, Hermann
7 Dagnino, Catterina
7 Dahlquist, Germund
7 Debrabant, Kristian
7 Hiptmair, Ralf
7 Larsson, Stig
7 Lötstedt, Per
7 Mäkinen, Erkki
7 Mehrmann, Volker
7 Ng, Michael Kwok-Po
7 Sbibih, Driss
7 Spijker, Marc N.
7 Watson, G. Alistair
7 Weiner, RĂĽdiger
7 Zha, Hongyuan
6 Axelsson, Axel Owe Holger
6 Bai, Zhongzhi
6 Benzi, Michele
6 Calvetti, Daniela
6 Calvo, Manuel
6 Hochbruck, Marlis
6 Huhtanen, Marko
6 Jeltsch, Rolf
6 Katajainen, Jyrki
6 Lyness, James N.
6 Meurant, GĂ©rard A.
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.
5 Bakaev, Nikolai Yu.
5 Björck, Åke
5 Ceruti, Gianluca
5 Chartier, Philippe
5 Costabile, Francesco Aldo
5 Cuminato, José Alberto
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 Jahnke, Tobias
5 Jay, Laurent-Olivier
5 Jimenez, Juan Carlos
5 Kloeden, Peter Eris
5 Kovács, Mihály
5 Lee, Richard Chia-Tung
5 MĂĄlqvist, Axel
5 Mazzia, Francesca
5 McLachlan, Robert I.
5 Mitsui, Taketomo
5 Montijano, Juan Ignacio
5 Munthe-Kaas, Hans Z.
5 Nordström, Jan
5 Park, Haesun
5 Peña, Juan Manuel
5 Ramage, Alison
...and 2,547 more Authors
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Fields

1,889 Numerical analysis (65-XX)
391 Ordinary differential equations (34-XX)
339 Partial differential equations (35-XX)
305 Computer science (68-XX)
222 Approximations and expansions (41-XX)
151 Linear and multilinear algebra; matrix theory (15-XX)
126 Probability theory and stochastic processes (60-XX)
79 Dynamical systems and ergodic theory (37-XX)
75 Integral equations (45-XX)
69 Operations research, mathematical programming (90-XX)
59 Fluid mechanics (76-XX)
39 Functions of a complex variable (30-XX)
39 Operator theory (47-XX)
38 Combinatorics (05-XX)
36 Real functions (26-XX)
36 Optics, electromagnetic theory (78-XX)
34 Information and communication theory, circuits (94-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
32 Mechanics of particles and systems (70-XX)
28 Special functions (33-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
26 Mechanics of deformable solids (74-XX)
25 Number theory (11-XX)
25 Statistics (62-XX)
15 Biology and other natural sciences (92-XX)
15 Systems theory; control (93-XX)
14 Field theory and polynomials (12-XX)
14 Integral transforms, operational calculus (44-XX)
13 Convex and discrete geometry (52-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Mathematical logic and foundations (03-XX)
10 General and overarching topics; collections (00-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 History and biography (01-XX)
9 Classical thermodynamics, heat transfer (80-XX)
9 Quantum theory (81-XX)
9 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 Functional analysis (46-XX)
5 Geometry (51-XX)
5 Differential geometry (53-XX)
5 Geophysics (86-XX)
4 Topological groups, Lie groups (22-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

1,948 Publications have been cited 22,910 times in 16,343 Documents Cited by Year
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
227
2000
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
198
2014
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
180
2001
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
172
1988
Phase properties of high order, almost P-stable formulae. Zbl 0569.65052
Thomas, R. M.
152
1984
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
135
2002
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.
132
1991
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
121
2004
Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038
Needell, Deanna
117
2010
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
111
2000
Contractivity of Runge-Kutta methods. Zbl 0763.65059
Kraaijevanger, J. F. B. M.
108
1991
Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. Zbl 0573.68018
Arnborg, Stefan
107
1985
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.
102
1996
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
99
1998
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
99
2004
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
97
1987
Numerov made explicit has better stability. Zbl 0568.65042
Chawla, M. M.
93
1984
RD-rational approximations of the matrix exponential. Zbl 1075.65062
Moret, I.; Novati, P.
91
2004
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
89
1984
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
88
2006
A note on \(Q\)-order of convergence. Zbl 0973.40001
Jay, L. O.
86
2001
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, GĂ©rard A.
86
1989
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
84
1988
A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019
Elden, Lars
83
1982
Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175
Cohen, David; Hairer, Ernst
83
2011
Runge-Kutta methods on Lie groups. Zbl 0904.65077
Munthe-Kaas, Hans
82
1998
A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039
Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf
82
1988
The power of geometric duality. Zbl 0603.68072
Chazelle, Bernard; Guibas, Leo J.; Lee, D. T.
82
1985
Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055
Chawla, M. M.
81
1983
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
80
2016
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
77
2014
Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart
75
2014
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
74
2005
An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059
Voss, H.
73
2004
Intervals of periodicity and absolute stability of explicit Nyström methods for y”=f(x,y). Zbl 0469.65048
Chawla, M. M.; Sharma, S. R.
71
1981
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
69
2003
Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007
Schmidt, Jochen W.; HeĂź, Walter
69
1988
The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078
Kuang, J. X.; Xiang, J. X.; Tian, H. J.
68
1994
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
67
1987
Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062
Hu, Guang-Da; Mitsui, Taketomo
66
1995
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
65
2015
A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010
Chand, A. K. B.; Viswanathan, P.
65
2013
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
64
1994
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
64
2011
A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069
in’t Hout, Karel J.
63
1992
The logarithmic norm. History and modern theory. Zbl 1102.65088
Söderlind, Gustaf
62
2006
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
62
2003
Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028
Olver, S.
61
2007
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
60
2014
New iterations of \(R\)-order four with reduced computational cost. Zbl 1170.65038
Ezquerro, J. A.; Hernández, M. A.
59
2009
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O.
59
1985
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
57
2007
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
57
1990
Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044
Boppana, Ravi; HalldĂłrsson, MagnĂşs M.
56
1992
Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008
Piessens, Robert; Branders, Maria
56
1983
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
56
1988
\(A\)-stability and stochastic mean-square stability. Zbl 0961.65003
Higham, Desmond J.
55
2000
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
55
2000
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
54
2007
A class of explicit exponential general linear methods. Zbl 1103.65061
Ostermann, A.; Thalhammer, M.; Wright, W. M.
53
2006
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, RaĂşl
53
2015
The stability of rational approximations of analytic semigroups. Zbl 0783.65050
Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V.
53
1993
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.
52
2005
High order explicit methods for parabolic equations. Zbl 0909.65060
Medovikov, Alexei A.
52
1998
A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056
Cao, Yang; Ren, Zhi-Ru; Shi, Quan
52
2016
A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079
Chawla, M. M.; Subramanian, R.; Sathi, H. L.
52
1988
A simple structural analysis method for DAEs. Zbl 0989.34005
Pryce, J. D.
52
2001
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.
52
2010
Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074
Ekolin, Gunnar
51
1991
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
51
1999
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
51
1999
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
51
2006
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
50
2012
New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index. Zbl 1093.65097
Rang, J.; Angermann, L.
50
2005
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
50
1991
Multirate partitioned Runge-Kutta methods. Zbl 0990.65081
Günther, M.; Kværnø, A.; Rentrop, P.
49
2001
A second order backward difference method with variable steps for a parabolic problem. Zbl 0923.65050
Becker, J.
49
1998
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030
Serra, Stefano
49
1994
Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098
Joe, B.; Simpson, R. B.
49
1987
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z.
49
1993
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
49
2009
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
48
1997
Fast construction of the FejĂ©r and Clenshaw-Curtis quadrature rules. Zbl 1091.65028
Waldvogel, Jörg
48
2006
Order \(h^ 2\) method for a singular two-point boundary value problem. Zbl 0602.65063
Chawla, M. M.; McKee, S.; Shaw, G.
48
1986
High order splitting methods for analytic semigroups exist. Zbl 1176.65066
Hansen, Eskil; Ostermann, Alexander
48
2009
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
47
2001
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media. Zbl 1312.65201
Gillman, Adrianna; Barnett, Alex H.; Martinsson, Per-Gunnar
47
2015
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
47
2011
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang
47
2007
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M.
46
2003
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
46
2011
Relationship between tetrahedron shape measures. Zbl 0806.65104
Liu, A.; Joe, B.
46
1994
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
46
1994
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
46
1991
Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037
Hansen, Eldon; Sengupta, Saumyendra
45
1981
Remarks on Picard-Lindelöf iteration. Zbl 0673.65037
Nevanlinna, Olavi
45
1989
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
44
2002
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
42
2015
Linear barycentric rational quadrature. Zbl 1247.65033
Klein, Georges; Berrut, Jean-Paul
42
2012
Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039
Hanke, Martin
41
1996
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. Zbl 1533.65256
Ma, Zheng; Stynes, Martin; Huang, Chengming
1
2024
Low-rank parareal: a low-rank parallel-in-time integrator. Zbl 1530.65074
Carrel, Benjamin; Gander, Martin J.; Vandereycken, Bart
5
2023
AAA interpolation of equispaced data. Zbl 1528.65009
Huybrechs, Daan; Trefethen, Lloyd N.
5
2023
Towards stability results for global radial basis function based quadrature formulas. Zbl 1508.65015
Glaubitz, Jan; Reeger, Jonah A.
4
2023
Singular quadratic eigenvalue problems: linearization and weak condition numbers. Zbl 1508.65033
Kressner, Daniel; Šain Glibić, Ivana
4
2023
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. Zbl 1510.74129
Ye, Changqing; Chung, Eric T.
4
2023
Product integration rules by the constrained mock-Chebyshev least squares operator. Zbl 1516.65015
Dell’Accio, Francesco; Mezzanotte, Domenico; Nudo, Federico; Occorsio, Donatella
4
2023
Low cardinality positive interior cubature on NURBS-shaped domains. Zbl 1514.65018
Sommariva, Alvise; Vianello, Marco
3
2023
On Kosloff Tal-Ezer least-squares quadrature formulas. Zbl 1507.65064
Cappellazzo, G.; Erb, W.; Marchetti, F.; Poggiali, D.
2
2023
Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan
2
2023
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations. Zbl 1510.65135
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan
2
2023
Symmetric-conjugate splitting methods for linear unitary problems. Zbl 1530.65072
Bernier, J.; Blanes, S.; Casas, F.; Escorihuela-TomĂ s, A.
1
2023
Resolving entropy growth from iterative methods. Zbl 1529.65015
Linders, Viktor; Ranocha, Hendrik; Birken, Philipp
1
2023
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality. Zbl 07741140
Han, Weimin; Jing, Feifei; Yao, Yuan
1
2023
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. Zbl 1526.65054
Du, Zhijie; Duan, Huoyuan
1
2023
Deep neural networks on diffeomorphism groups for optimal shape reparametrization. Zbl 1526.65027
Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen N.; Schmeding, Alexander
1
2023
Gaussian rule for integrals involving Bessel functions. Zbl 1532.33009
Denich, Eleonora; Novati, Paolo
1
2023
Galerkin-Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds. Zbl 1537.60059
Lang, Annika; Pereira, Mike
1
2023
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations. Zbl 1522.65146
Liao, Hong-lin; Tang, Tao; Zhou, Tao
1
2023
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractionalBrownian motion. Zbl 1518.65016
Zhou, Hao; Hu, Yaozhong; Liu, Yanghui
1
2023
On a large-stepsize integrator for charged-particle dynamics. Zbl 1507.65289
Lubich, Christian; Shi, Yanyan
1
2023
A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. Zbl 1507.65114
Almuslimani, Ibrahim
1
2023
A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data. Zbl 1512.65148
Wang, Yuan-Ming; Xie, Bo
1
2023
Perturbation bounds for stable gyroscopic systems. Zbl 1507.93081
Ivičić, Ivana Kuzmanović; Miodragović, Suzana
1
2023
Low regularity integrators for semilinear parabolic equations with maximum bound principles. Zbl 1509.65108
Doan, Cao-Kha; Hoang, Thi-Thao-Phuong; Ju, Lili; Schratz, Katharina
1
2023
Geometric means of quasi-Toeplitz matrices. Zbl 1509.15018
Bini, Dario A.; Iannazzo, Bruno; Meng, Jie
1
2023
An Hermite-Obreschkoff method for stiff high-index DAE. Zbl 1512.65173
Zolfaghari, Reza; Nedialkov, Nedialko S.
1
2023
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery. Zbl 1511.65037
Liu, Yanhui; Zeng, Xueying; Wang, Weiguo
1
2023
Construction of Rosenbrock-Wanner method Rodas5P and numerical benchmarks within the Julia differential equations package. Zbl 1512.65001
Steinebach, Gerd
1
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Fast floating-point filters for robust predicates. Zbl 1514.65056
Bartels, Tinko; Fisikopoulos, Vissarion; Weiser, Martin
1
2023
An unconventional robust integrator for dynamical low-rank approximation. Zbl 1481.65068
Ceruti, Gianluca; Lubich, Christian
32
2022
A rank-adaptive robust integrator for dynamical low-rank approximation. Zbl 1507.65116
Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian
24
2022
Embedded exponential-type low-regularity integrators for KdV equation under rough data. Zbl 07569617
Wu, Yifei; Zhao, Xiaofei
13
2022
Randomized Kaczmarz for tensor linear systems. Zbl 1485.65034
Ma, Anna; Molitor, Denali
9
2022
A systematic approach to reduced GLT. Zbl 1495.15035
Barbarino, Giovanni
8
2022
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes. Zbl 07515303
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
6
2022
Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
5
2022
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. Zbl 1498.65220
Kemmochi, Tomoya; Sato, Shun
5
2022
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020
Benzi, Michele; Simunec, Igor
5
2022
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems. Zbl 1503.65208
Cano, B.; Reguera, N.
5
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Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy
5
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A higher order weak approximation of McKean-Vlasov type SDEs. Zbl 1487.35368
Naito, Riu; Yamada, Toshihiro
5
2022
Stability of implicit multiderivative deferred correction methods. Zbl 1507.65121
Zeifang, Jonas; SchĂĽtz, Jochen; Seal, David C.
5
2022
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. Zbl 1502.15026
Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina
4
2022
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series. Zbl 1503.65149
Penent, Guillaume; Privault, Nicolas
4
2022
Order theory for discrete gradient methods. Zbl 1507.65288
Eidnes, Sølve
4
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Color image and video restoration using tensor CP decomposition. Zbl 1505.65172
Bentbib, A. H.; Khouia, A.; Sadok, H.
4
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Numerical stability of GrĂĽnwald-Letnikov method for time fractional delay differential equations. Zbl 1498.65112
Li, Lei; Wang, Dongling
3
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Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods. Zbl 1486.65248
Gaddam, Sharat; Gudi, Thirupathi; Porwal, Kamana
3
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On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem. Zbl 1507.65296
Asadzadeh, M.; Saray, B. N.
3
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Well-posedness and numerical schemes for one-dimensional McKean-Vlasov equations and interacting particle systems with discontinuous drift. Zbl 1504.65017
Leobacher, Gunther; Reisinger, Christoph; Stockinger, Wolfgang
3
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Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. Zbl 1507.65083
Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide
3
2022
On the quadrature exactness in hyperinterpolation. Zbl 1503.65052
An, Congpei; Wu, Hao-Ning
3
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A dimension expanded preconditioning technique for saddle point problems. Zbl 1503.65060
Luo, Wei-Hua; Gu, Xian-Ming; Carpentieri, Bruno
3
2022
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. Zbl 1504.65012
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
3
2022
Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations. Zbl 1496.65009
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig
2
2022
Multirate linearly-implicit GARK schemes. Zbl 1507.65122
GĂĽnther, Michael; Sandu, Adrian
2
2022
Automatic fidelity and regularization terms selection in variational image restoration. Zbl 07569613
Lanza, A.; Pragliola, M.; Sgallari, F.
2
2022
Homogeneous multigrid for embedded discontinuous Galerkin methods. Zbl 1502.65249
Lu, Peipei; Rupp, Andreas; Kanschat, Guido
2
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WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment. Zbl 1495.65126
Arnold, Anton; Klein, Christian; Ujvari, Bernhard
2
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Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction. Zbl 1485.65080
Koyaguerebo-Imé, Saint-Cyr E. R.; Bourgault, Yves
2
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Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. Zbl 1485.65024
Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard
2
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A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds. Zbl 1494.65019
Billaud-Friess, Marie; FalcĂł, Antonio; Nouy, Anthony
2
2022
Using the Dafermos entropy rate criterion in numerical schemes. Zbl 1503.65202
Klein, Simon-Christian
2
2022
Convergent semi-explicit scheme to a non-linear eikonal system. Zbl 1502.65053
Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha
2
2022
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. Zbl 1502.65042
Bazavov, Alexei
1
2022
Comparison theorems for splittings of M-matrices in (block) Hessenberg form. Zbl 1498.65054
Gemignani, Luca; Poloni, Federico
1
2022
Hybrid CUR-type decomposition of tensors in the Tucker format. Zbl 1485.15031
Begović Kovač, Erna
1
2022
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices. Zbl 1485.65049
Massei, Stefano
1
2022
Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula. Zbl 1492.65272
Reddy, G. Murali Mohan
1
2022
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. Zbl 1493.65183
Brandén, Henrik
1
2022
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. Zbl 1497.37101
Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing
1
2022
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization. Zbl 1491.90113
Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael
1
2022
A fully structured preconditioner for a class of complex symmetric indefinite linear systems. Zbl 1498.65044
Zheng, Zhong; Chen, Jing; Chen, Yue-Fen
1
2022
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual. Zbl 1503.41002
Annaby, M. H.; Elsayed-Abdullah, S. R.
1
2022
A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations. Zbl 1504.65019
Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Ding, Xiaohua
1
2022
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. Zbl 1502.35169
Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C.
1
2022
Effective grading refinement for locally linearly independent LR B-splines. Zbl 1503.65031
Patrizi, Francesco
1
2022
Solving large linear least squares problems with linear equality constraints. Zbl 1505.65171
Scott, Jennifer; TĹŻma, Miroslav
1
2022
Automatic balancing parameter selection for Tikhonov-TV regularization. Zbl 1503.65079
Gholami, Ali; Gazzola, Silvia
1
2022
Higher strong order methods for linear ItĂ´ SDEs on matrix Lie groups. Zbl 1507.65033
Muniz, Michelle; Ehrhardt, Matthias; GĂĽnther, Michael; Winkler, Renate
1
2022
Multilevel Monte Carlo estimators for elliptic PDEs with LĂ©vy-type diffusion coefficient. Zbl 1509.65117
Merkle, Robin; Barth, Andrea
1
2022
Randomized Kaczmarz with averaging. Zbl 1460.15005
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna
25
2021
Rational Krylov for Stieltjes matrix functions: convergence and pole selection. Zbl 1461.65064
Massei, Stefano; Robol, Leonardo
13
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.
10
2021
Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 1489.65014
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
10
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
10
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.
9
2021
Efficient exponential Runge-Kutta methods of high order: construction and implementation. Zbl 1471.65069
Luan, Vu Thai
8
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
8
2021
Block boundary value methods for linear weakly singular Volterra integro-differential equations. Zbl 1472.65170
Zhou, Yongtao; Stynes, Martin
7
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
7
2021
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 1530.65143
Sun, Jing; Nie, Daxin; Deng, Weihua
7
2021
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 1534.65220
Zheng, Xiangcheng; Wang, Hong
6
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
5
2021
Simple formula for integration of polynomials on a simplex. Zbl 1470.65033
Lasserre, Jean B.
5
2021
Variational time discretizations of higher order and higher regularity. Zbl 1472.65082
Becher, Simon; Matthies, Gunar
5
2021
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong
4
2021
Asymptotic preserving trigonometric integrators for the quantum Zakharov system. Zbl 1466.65162
Baumstark, Simon; Schratz, Katharina
4
2021
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems. Zbl 1461.65255
Zhang, Yabin; Gillman, Adrianna
4
2021
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Cited by 16,546 Authors

183 Simos, Theodore E.
154 Reichel, Lothar
75 Serra-Capizzano, Stefano
75 Wei, Yimin
72 Jackiewicz, Zdzislaw
71 Argyros, Ioannis Konstantinos
65 Wu, Xinyuan
57 Huang, Ting-Zhu
52 Dehghan Takht Fooladi, Mehdi
52 Weiner, RĂĽdiger
51 Lubich, Christian
51 Wang, Wansheng
50 Ostermann, Alexander
50 Wang, Bin
49 D’Ambrosio, Raffaele
49 Zhang, Chengjian
48 Huang, Chengming
46 Chand, Arya Kumar Bedabrata
46 Spalević, Miodrag M.
46 Xiang, Shuhuang
43 Burrage, Kevin
41 Simoncini, Valeria
40 Paternoster, Beatrice
40 Zhang, Guofeng
39 Jia, Zhongxiao
38 Abdi, Ali
38 Gander, Martin Jakob
38 Hairer, Ernst
38 Li, Shoufu
37 Donatelli, Marco
36 Blanes, Sergio
35 Bai, Zhongzhi
35 Butcher, John C.
35 Xiao, Aiguo
33 Gan, Siqing
33 Owolabi, Kolade Matthew
32 Kressner, Daniel
32 Petković, Miodrag S.
32 Spijker, Marc N.
32 Vianello, Marco
32 Zhang, Zhimin
31 Ma, Changfeng
30 Einkemmer, Lukas
30 Jiang, Yaolin
30 Sharma, Janak Raj
30 Sun, Haiwei
29 Casas, Fernando
29 Mao, Xuerong
29 Sandu, Adrian
29 Sgallari, Fiorella
29 Wen, Liping
29 Zhao, Jingjun
28 Conte, Dajana
28 Gu, Xian-Ming
28 Hadjidimos, Apostolos
28 Li, Rencang
27 Buccini, Alessandro
27 Celledoni, Elena
27 Hojjati, Gholamreza
27 Jbilou, Khalide
27 Li, Buyang
27 Li, Hanyu
27 Owren, Brynjulf
27 Sommariva, Alvise
27 Tsitouras, Charalampos
27 Xu, Yang
26 Brugnano, Luigi
26 González-Pinto, Severiano
26 Ju, Lili
26 Liu, Mingzhu
26 Minion, Michael L.
26 Tian, Hongjiong
25 Auzinger, Winfried
25 Cao, Yang
25 De Marchi, Stefano
25 Ding, Xiaohua
25 Iserles, Arieh
25 Jin, Xiaoqing
25 Khaliq, Abdul Q. M.
25 Milovanović, Gradimir V.
24 Axelsson, Axel Owe Holger
24 Benzi, Michele
24 Garrappa, Roberto
24 Hansen, Per Christian
24 Hundsdorfer, Willem H.
24 Kloeden, Peter Eris
24 Sanz-Serna, JesĂşs MarĂ­a
23 Conti, Costanza
23 Diao, Huaian
23 Higham, Nicholas J.
23 Ketcheson, David I.
23 Liang, Zhaozheng
23 Montijano, Juan Ignacio
23 Murua, Ander
23 Roul, Pradip
23 Spence, Euan A.
23 Thalhammer, Mechthild
23 Wu, Yujiang
23 Yang, Aili
22 Chen, Hao
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