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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: 2,270 Publications (since 1981)
References Indexed: 1,953 Publications with 39,151 References.
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Latest Issues

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...and 52 more Volumes
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Authors

28 Reichel, Lothar
22 Butcher, John C.
21 Lubich, Christian
19 Hairer, Ernst
16 Golub, Gene Howard
15 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 Nevanlinna, Olavi
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 Jin, Xiaoqing
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 Kressner, Daniel
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 Hiptmair, Ralf
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 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 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 2,506 more Authors
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Fields

1,870 Numerical analysis (65-XX)
391 Ordinary differential equations (34-XX)
334 Partial differential equations (35-XX)
306 Computer science (68-XX)
223 Approximations and expansions (41-XX)
149 Linear and multilinear algebra; matrix theory (15-XX)
126 Probability theory and stochastic processes (60-XX)
79 Dynamical systems and ergodic theory (37-XX)
72 Integral equations (45-XX)
68 Operations research, mathematical programming (90-XX)
56 Fluid mechanics (76-XX)
39 Functions of a complex variable (30-XX)
38 Combinatorics (05-XX)
38 Operator theory (47-XX)
36 Real functions (26-XX)
36 Optics, electromagnetic theory (78-XX)
33 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)
28 Calculus of variations and optimal control; optimization (49-XX)
25 Number theory (11-XX)
25 Statistics (62-XX)
25 Mechanics of deformable solids (74-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)
11 Mathematical logic and foundations (03-XX)
11 Global analysis, analysis on manifolds (58-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)
8 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

1,915 Publications have been cited 21,438 times in 15,271 Documents Cited by Year
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
210
2000
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
183
2014
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
172
2001
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
161
1988
Phase properties of high order, almost P-stable formulae. Zbl 0569.65052
Thomas, R. M.
146
1984
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
126
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.
125
1991
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
116
2004
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
104
2000
Contractivity of Runge-Kutta methods. Zbl 0763.65059
Kraaijevanger, J. F. B. M.
100
1991
Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038
Needell, Deanna
100
2010
Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. Zbl 0573.68018
Arnborg, Stefan
99
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.
98
1996
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
96
2004
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
95
1998
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
90
1987
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
87
1984
Numerov made explicit has better stability. Zbl 0568.65042
Chawla, M. M.
86
1984
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, GĂ©rard A.
85
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
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
82
2006
The power of geometric duality. Zbl 0603.68072
Chazelle, Bernard; Guibas, Leo J.; Lee, D. T.
82
1985
RD-rational approximations of the matrix exponential. Zbl 1075.65062
Moret, I.; Novati, P.
82
2004
Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055
Chawla, M. M.
80
1983
Runge-Kutta methods on Lie groups. Zbl 0904.65077
Munthe-Kaas, Hans
80
1998
A note on \(Q\)-order of convergence. Zbl 0973.40001
Jay, L. O.
80
2001
A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039
Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf
79
1988
A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019
Elden, Lars
77
1982
Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175
Cohen, David; Hairer, Ernst
76
2011
An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059
Voss, H.
70
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.
69
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.
68
2003
The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078
Kuang, J. X.; Xiang, J. X.; Tian, H. J.
67
1994
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
67
2014
Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007
Schmidt, Jochen W.; HeĂź, Walter
65
1988
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
65
2005
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
65
2016
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
64
1994
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
63
1987
Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart
63
2014
A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069
in’t Hout, Karel J.
62
1992
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
62
2015
A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010
Chand, A. K. B.; Viswanathan, P.
60
2013
The logarithmic norm. History and modern theory. Zbl 1102.65088
Söderlind, Gustaf
59
2006
Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028
Olver, S.
58
2007
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
58
2003
Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062
Hu, Guang-Da; Mitsui, Taketomo
57
1995
New iterations of \(R\)-order four with reduced computational cost. Zbl 1170.65038
Ezquerro, J. A.; Hernández, M. A.
57
2009
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
55
2011
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O.
55
1985
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
54
2014
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
53
2007
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
53
1990
Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008
Piessens, Robert; Branders, Maria
52
1983
A class of explicit exponential general linear methods. Zbl 1103.65061
Ostermann, A.; Thalhammer, M.; Wright, W. M.
52
2006
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, RaĂşl
52
2015
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
51
1988
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
51
2007
\(A\)-stability and stochastic mean-square stability. Zbl 0961.65003
Higham, Desmond J.
51
2000
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
50
1999
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
50
2000
High order explicit methods for parabolic equations. Zbl 0909.65060
Medovikov, Alexei A.
50
1998
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.
50
2010
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
50
2006
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
50
1991
Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074
Ekolin, Gunnar
50
1991
The stability of rational approximations of analytic semigroups. Zbl 0783.65050
Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V.
50
1993
A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079
Chawla, M. M.; Subramanian, R.; Sathi, H. L.
49
1988
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.
49
2005
New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index. Zbl 1093.65097
Rang, J.; Angermann, L.
49
2005
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
48
1999
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030
Serra, Stefano
48
1994
A simple structural analysis method for DAEs. Zbl 0989.34005
Pryce, J. D.
48
2001
Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044
Boppana, Ravi; HalldĂłrsson, MagnĂşs M.
48
1992
A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056
Cao, Yang; Ren, Zhi-Ru; Shi, Quan
48
2016
Multirate partitioned Runge-Kutta methods. Zbl 0990.65081
Günther, M.; Kværnø, A.; Rentrop, P.
47
2001
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z.
47
1993
Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098
Joe, B.; Simpson, R. B.
46
1987
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
46
2001
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
46
2009
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
46
1997
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
46
2012
High order splitting methods for analytic semigroups exist. Zbl 1176.65066
Hansen, Eskil; Ostermann, Alexander
45
2009
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M.
45
2003
Order \(h^ 2\) method for a singular two-point boundary value problem. Zbl 0602.65063
Chawla, M. M.; McKee, S.; Shaw, G.
45
1986
Relationship between tetrahedron shape measures. Zbl 0806.65104
Liu, A.; Joe, B.
45
1994
A second order backward difference method with variable steps for a parabolic problem. Zbl 0923.65050
Becker, J.
44
1998
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
44
1994
Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037
Hansen, Eldon; Sengupta, Saumyendra
44
1981
Remarks on Picard-Lindelöf iteration. Zbl 0673.65037
Nevanlinna, Olavi
43
1989
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
43
2011
Fast construction of the FejĂ©r and Clenshaw-Curtis quadrature rules. Zbl 1091.65028
Waldvogel, Jörg
43
2006
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
43
1991
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
43
2015
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang
42
2007
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
41
2011
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
40
2002
GMRES and the minimal polynomial. Zbl 0865.65017
Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.
40
1996
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
39
1982
On the stability of semi-implicit methods for ordinary differential equations. Zbl 0489.65046
Hairer, E.; Bader, G.; Lubich, Ch.
39
1982
AAA interpolation of equispaced data. Zbl 1528.65009
Huybrechs, Daan; Trefethen, Lloyd N.
3
2023
Singular quadratic eigenvalue problems: linearization and weak condition numbers. Zbl 1508.65033
Kressner, Daniel; Šain Glibić, Ivana
3
2023
Low-rank parareal: a low-rank parallel-in-time integrator. Zbl 07654455
Carrel, Benjamin; Gander, Martin J.; Vandereycken, Bart
2
2023
Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan
2
2023
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. Zbl 1510.74129
Ye, Changqing; Chung, Eric T.
2
2023
Construction of Rosenbrock-Wanner method Rodas5P and numerical benchmarks within the Julia differential equations package. Zbl 1512.65001
Steinebach, Gerd
1
2023
Fast floating-point filters for robust predicates. Zbl 1514.65056
Bartels, Tinko; Fisikopoulos, Vissarion; Weiser, Martin
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 Kosloff Tal-Ezer least-squares quadrature formulas. Zbl 1507.65064
Cappellazzo, G.; Erb, W.; Marchetti, F.; Poggiali, D.
1
2023
A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. Zbl 1507.65114
Almuslimani, Ibrahim
1
2023
Towards stability results for global radial basis function based quadrature formulas. Zbl 1508.65015
Glaubitz, Jan; Reeger, Jonah A.
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
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
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations. Zbl 1526.65054
Du, Zhijie; Duan, Huoyuan
1
2023
An unconventional robust integrator for dynamical low-rank approximation. Zbl 1481.65068
Ceruti, Gianluca; Lubich, Christian
23
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A rank-adaptive robust integrator for dynamical low-rank approximation. Zbl 1507.65116
Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian
15
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Embedded exponential-type low-regularity integrators for KdV equation under rough data. Zbl 07569617
Wu, Yifei; Zhao, Xiaofei
12
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A systematic approach to reduced GLT. Zbl 1495.15035
Barbarino, Giovanni
5
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Randomized Kaczmarz for tensor linear systems. Zbl 1485.65034
Ma, Anna; Molitor, Denali
5
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A higher order weak approximation of McKean-Vlasov type SDEs. Zbl 1487.35368
Naito, Riu; Yamada, Toshihiro
4
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
4
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Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series. Zbl 1503.65149
Penent, Guillaume; Privault, Nicolas
4
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Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. Zbl 1498.65220
Kemmochi, Tomoya; Sato, Shun
4
2022
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy
3
2022
Color image and video restoration using tensor CP decomposition. Zbl 1505.65172
Bentbib, A. H.; Khouia, A.; Sadok, H.
3
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
3
2022
Stability of implicit multiderivative deferred correction methods. Zbl 1507.65121
Zeifang, Jonas; SchĂĽtz, Jochen; Seal, David C.
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
2022
Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. Zbl 1507.65083
Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide
3
2022
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 1494.65020
Benzi, Michele; Simunec, Igor
2
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Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants. Zbl 1504.65012
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
2
2022
On the quadrature exactness in hyperinterpolation. Zbl 1503.65052
An, Congpei; Wu, Hao-Ning
2
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Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
2
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
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Automatic fidelity and regularization terms selection in variational image restoration. Zbl 07569613
Lanza, A.; Pragliola, M.; Sgallari, F.
2
2022
Numerical stability of GrĂĽnwald-Letnikov method for time fractional delay differential equations. Zbl 1498.65112
Li, Lei; Wang, Dongling
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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Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods. Zbl 1486.65248
Gaddam, Sharat; Gudi, Thirupathi; Porwal, Kamana
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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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 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
1
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Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. Zbl 1493.65183
Brandén, Henrik
1
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How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems. Zbl 1503.65208
Cano, B.; Reguera, N.
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
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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
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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
Order theory for discrete gradient methods. Zbl 1507.65288
Eidnes, Sølve
1
2022
Multilevel Monte Carlo estimators for elliptic PDEs with LĂ©vy-type diffusion coefficient. Zbl 1509.65117
Merkle, Robin; Barth, Andrea
1
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Using the Dafermos entropy rate criterion in numerical schemes. Zbl 1503.65202
Klein, Simon-Christian
1
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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
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Convergent semi-explicit scheme to a non-linear eikonal system. Zbl 1502.65053
Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha
1
2022
Automatic balancing parameter selection for Tikhonov-TV regularization. Zbl 1503.65079
Gholami, Ali; Gazzola, Silvia
1
2022
A dimension expanded preconditioning technique for saddle point problems. Zbl 1503.65060
Luo, Wei-Hua; Gu, Xian-Ming; Carpentieri, Bruno
1
2022
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. Zbl 1502.65042
Bazavov, Alexei
1
2022
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices. Zbl 1485.65049
Massei, Stefano
1
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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
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Randomized Kaczmarz with averaging. Zbl 1460.15005
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna
19
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Rational Krylov for Stieltjes matrix functions: convergence and pole selection. Zbl 1461.65064
Massei, Stefano; Robol, Leonardo
10
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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
Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 1489.65014
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
8
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
8
2021
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 07430400
Sun, Jing; Nie, Daxin; Deng, Weihua
7
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.
7
2021
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 07430401
Zheng, Xiangcheng; Wang, Hong
6
2021
Efficient exponential Runge-Kutta methods of high order: construction and implementation. Zbl 1471.65069
Luan, Vu Thai
6
2021
Block boundary value methods for linear weakly singular Volterra integro-differential equations. Zbl 1472.65170
Zhou, Yongtao; Stynes, Martin
6
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
6
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Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. Zbl 1461.65026
af Klinteberg, Ludvig; Barnett, Alex H.
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
A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. Zbl 1460.35326
Henning, Patrick; Wärnegård, Johan
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
Simple formula for integration of polynomials on a simplex. Zbl 1470.65033
Lasserre, Jean B.
4
2021
Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals. Zbl 1482.76008
Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian
4
2021
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality. Zbl 1480.65347
Wang, Fei; Shah, Sheheryar; Xiao, Wenqiang
4
2021
A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction-subdiffusion problems with a weak initial singularity. Zbl 1481.65162
Wang, Yuan-Ming
4
2021
A numerical study of variational discretizations of the Camassa-Holm equation. Zbl 1477.35212
Galtung, Sondre Tesdal; Grunert, Katrin
3
2021
Efficient computation of oscillatory integrals by exponential transformations. Zbl 1482.65033
Majidian, Hassan
3
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An accurate integral equation method for Stokes flow with piecewise smooth boundaries. Zbl 1461.65262
Bystricky, Lukas; PĂĄlsson, Sara; Tornberg, Anna-Karin
3
2021
Numerical conservative solutions of the Hunter-Saxton equation. Zbl 1465.35351
Grunert, Katrin; Nordli, Anders; Solem, Susanne
3
2021
Optimal quadratic element on rectangular grids for \(H^1\) problems. Zbl 1472.65150
Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo
3
2021
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators. Zbl 1472.65013
Jin, Sixian; Kobayashi, Kei
3
2021
Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation. Zbl 1493.65019
Deligiannidis, G.; Maurer, S.; Tretyakov, M. V.
2
2021
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation. Zbl 1478.65088
Soszyńska, Martyna; Richter, Thomas
2
2021
Explicit stabilised gradient descent for faster strongly convex optimisation. Zbl 1462.90089
Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C.
2
2021
On optimal adaptive quadratures for automatic integration. Zbl 1491.65023
Goćwin, Maciej
2
2021
Abel’s integral operator: sparse representation based on multiwavelets. Zbl 1466.45011
Saray, Behzad Nemati
2
2021
Power boundedness in the maximum norm of stability matrices for ADI methods. Zbl 1495.65133
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.
2
2021
A generalized Fourier-Hermite method for the Vlasov-Poisson system. Zbl 1487.65167
Kormann, Katharina; Yurova, Anna
2
2021
Randomized block Krylov subspace methods for trace and log-determinant estimators. Zbl 1518.65048
Li, Hanyu; Zhu, Yuanyang
2
2021
DNT preconditioner for one-sided space fractional diffusion equations. Zbl 1496.65121
Lin, Fu-Rong; Qu, Hai-Dong; She, Zi-Hang
1
2021
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation. Zbl 1477.35228
Su, Chunmei; Muslu, Gulcin M.
1
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Error estimation and uncertainty quantification for first time to a threshold value. Zbl 1461.65204
Chaudhry, Jehanzeb H.; Estep, Donald; Stevens, Zachary; Tavener, Simon J.
1
2021
Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s \(\sin (\theta)\) theorem. Zbl 1470.65088
Lange, Marko; Rump, Siegfried M.
1
2021
Inexact rational Krylov method for evolution equations. Zbl 1470.65078
Hashimoto, Yuka; Nodera, Takashi
1
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168 Simos, Theodore E.
140 Reichel, Lothar
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70 Wei, Yimin
68 Argyros, Ioannis Konstantinos
64 Serra-Capizzano, Stefano
63 Wu, Xinyuan
56 Huang, Ting-Zhu
52 Weiner, RĂĽdiger
50 Ostermann, Alexander
49 Lubich, Christian
48 Dehghan Takht Fooladi, Mehdi
48 Zhang, Chengjian
47 D’Ambrosio, Raffaele
46 Wang, Wansheng
45 Xiang, Shuhuang
44 Huang, Chengming
42 Chand, Arya Kumar Bedabrata
42 Spalević, Miodrag M.
40 Simoncini, Valeria
39 Burrage, Kevin
39 Zhang, Guofeng
38 Hairer, Ernst
38 Li, Shoufu
38 Wang, Bin
37 Jia, Zhongxiao
37 Paternoster, Beatrice
36 Gander, Martin Jakob
35 Butcher, John C.
34 Abdi, Ali
34 Xiao, Aiguo
33 Bai, Zhongzhi
32 Donatelli, Marco
32 Gan, Siqing
32 Spijker, Marc N.
32 Zhang, Zhimin
31 Blanes, Sergio
31 Owolabi, Kolade Matthew
31 Petković, Miodrag S.
30 Ma, Changfeng
30 Sharma, Janak Raj
29 Sandu, Adrian
29 Sgallari, Fiorella
29 Wen, Liping
28 Hadjidimos, Apostolos
28 Jiang, Yaolin
28 Sun, Haiwei
28 Zhao, Jingjun
27 Gu, Xian-Ming
27 Li, Buyang
27 Li, Rencang
27 Xu, Yang
26 Casas, Fernando
26 Ju, Lili
26 Mao, Xuerong
26 Vianello, Marco
25 Auzinger, Winfried
25 Cao, Yang
25 Celledoni, Elena
25 Einkemmer, Lukas
25 González-Pinto, Severiano
25 Hojjati, Gholamreza
25 Iserles, Arieh
25 Jbilou, Khalide
25 Jin, Xiaoqing
25 Khaliq, Abdul Q. M.
25 Kressner, Daniel
25 Milovanović, Gradimir V.
25 Minion, Michael L.
25 Owren, Brynjulf
24 Brugnano, Luigi
24 Conte, Dajana
24 Ding, Xiaohua
24 Hundsdorfer, Willem H.
24 Kloeden, Peter Eris
24 Li, Hanyu
24 Tian, Hongjiong
23 Axelsson, Axel Owe Holger
23 Buccini, Alessandro
23 Conti, Costanza
23 Hansen, Per Christian
23 Ketcheson, David I.
23 Montijano, Juan Ignacio
23 Sanz-Serna, JesĂşs MarĂ­a
22 Benzi, Michele
22 Chen, Hao
22 De Marchi, Stefano
22 Diao, Huaian
22 Garrappa, Roberto
22 GĂĽnther, Michael
22 Higham, Nicholas J.
22 Liang, Zhaozheng
22 Nordström, Jan
22 Schmitt, Bernhard A.
22 Spence, Euan A.
22 Thalhammer, Mechthild
22 Viswanathan, Puthan Veedu
21 Calvo, Manuel
21 Han, Xuli
21 Jentzen, Arnulf
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