# zbMATH — the first resource for mathematics

## 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: 2,113 Publications (since 1981) References Indexed: 1,795 Publications with 33,805 References.
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#### Latest Issues

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#### Authors

 27 Reichel, Lothar 22 Butcher, John C. 19 Hairer, Ernst 18 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 Kvaerno, Anne 8 Li, Rencang 8 Simoncini, Valeria 7 Brunner, Hermann 7 Dagnino, Catterina 7 Dahlquist, Germund 7 Gander, Martin Jakob 7 Lötstedt, Per 7 Mäkinen, Erkki 7 Sbibih, Driss 7 Serra-Capizzano, Stefano 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 Calvetti, Daniela 6 Calvo, Manuel 6 Debrabant, Kristian 6 Hiptmair, Ralf 6 Huhtanen, Marko 6 Jeltsch, Rolf 6 Jin, Xiaoqing 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 Benzi, Michele 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 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 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 5 Strakoš, Zdeněk 5 Sun, Jiguang ...and 2,230 more Authors
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#### Fields

 1,716 Numerical analysis (65-XX) 381 Ordinary differential equations (34-XX) 300 Computer science (68-XX) 294 Partial differential equations (35-XX) 213 Approximations and expansions (41-XX) 124 Linear and multilinear algebra; matrix theory (15-XX) 107 Probability theory and stochastic processes (60-XX) 75 Dynamical systems and ergodic theory (37-XX) 70 Integral equations (45-XX) 67 Operations research, mathematical programming (90-XX) 46 Fluid mechanics (76-XX) 39 Functions of a complex variable (30-XX) 38 Combinatorics (05-XX) 36 Operator theory (47-XX) 33 Optics, electromagnetic theory (78-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 30 Information and communication theory, circuits (94-XX) 29 Mechanics of particles and systems (70-XX) 28 Real functions (26-XX) 26 Special functions (33-XX) 25 Number theory (11-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Statistics (62-XX) 19 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) 14 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 Statistical mechanics, structure of matter (82-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-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 Geophysics (86-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-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)

#### Citations contained in zbMATH Open

1,758 Publications have been cited 16,646 times in 11,990 Documents Cited by Year
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
2001
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
2000
Runge-Kutta schemes for Hamiltonian systems. Zbl 0655.70013
Sanz-Serna, J. M.
1988
Phase properties of high order, almost P-stable formulae. Zbl 0569.65052
Thomas, R. M.
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.
1991
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
2014
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
2002
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
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.
1996
Minimum residual methods for augmented systems. Zbl 0914.65026
Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J.
1998
Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey. Zbl 0573.68018
Arnborg, Stefan
1985
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
1988
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
2000
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
1989
Contractivity of Runge-Kutta methods. Zbl 0763.65059
Kraaijevanger, J. F. B. M.
1991
Convolution quadrature revisited. Zbl 1083.65123
Lubich, Christian
2004
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
1984
The power of geometric duality. Zbl 0603.68072
Chazelle, Bernard; Guibas, Leo J.; Lee, D. T.
1985
RD-rational approximations of the matrix exponential. Zbl 1075.65062
Moret, I.; Novati, P.
2004
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
1987
Numerov made explicit has better stability. Zbl 0568.65042
Chawla, M. M.
1984
The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078
Kuang, J. X.; Xiang, J. X.; Tian, H. J.
1994
Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038
Needell, Deanna
2010
A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019
Elden, Lars
1982
Runge-Kutta methods on Lie groups. Zbl 0904.65077
Munthe-Kaas, Hans
1998
A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039
Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf
1988
An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059
Voss, H.
2004
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
2006
A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069
in’t Hout, Karel J.
1992
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
1994
A note on $$Q$$-order of convergence. Zbl 0973.40001
Jay, L. O.
2001
Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055
Chawla, M. M.
1983
Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007
Schmidt, Jochen W.; Heß, Walter
1988
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
2003
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O.
1985
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
1987
New iterations of $$R$$-order four with reduced computational cost. Zbl 1170.65038
Ezquerro, J. A.; Hernández, M. A.
2009
Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062
Hu, Guang-Da; Mitsui, Taketomo
1995
Intervals of periodicity and absolute stability of explicit Nyström methods for y”=f(x,y). Zbl 0469.65048
Chawla, M. M.; Sharma, S. R.
1981
Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028
Olver, S.
2007
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
2003
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
1991
$$A$$-stability and stochastic mean-square stability. Zbl 0961.65003
Higham, Desmond J.
2000
Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart
2014
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
2005
A class of explicit exponential general linear methods. Zbl 1103.65061
Ostermann, A.; Thalhammer, M.; Wright, W. M.
2006
Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074
Ekolin, Gunnar
1991
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030
Serra, Stefano
1994
The stability of rational approximations of analytic semigroups. Zbl 0783.65050
Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V.
1993
A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010
Chand, A. K. B.; Viswanathan, P.
2013
High order explicit methods for parabolic equations. Zbl 0909.65060
Medovikov, Alexei A.
1998
The logarithmic norm. History and modern theory. Zbl 1102.65088
Söderlind, Gustaf
2006
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
1990
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
1994
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
2000
Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037
Hansen, Eldon; Sengupta, Saumyendra
1981
Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008
Piessens, Robert; Branders, Maria
1983
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
1991
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z.
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.
2005
Relationship between tetrahedron shape measures. Zbl 0806.65104
Liu, A.; Joe, B.
1994
Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175
Cohen, David; Hairer, Ernst
2011
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
1988
Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044
Boppana, Ravi; Halldórsson, Magnús M.
1992
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
1997
A simple structural analysis method for DAEs. Zbl 0989.34005
Pryce, J. D.
2001
Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods. Zbl 1258.65068
Wu, Xinyuan; Wang, Bin; Xia, Jianlin
2012
Remarks on Picard-Lindelöf iteration. Zbl 0673.65037
Nevanlinna, Olavi
1989
Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. Zbl 1230.65011
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu
2011
A stability property of $$A$$-stable natural Runge-Kutta methods for systems of delay differential equations. Zbl 0805.65083
Koto, T.
1994
Estimation of the $$L$$-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
1999
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
2015
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
2006
Order $$h^ 2$$ method for a singular two-point boundary value problem. Zbl 0602.65063
Chawla, M. M.; McKee, S.; Shaw, G.
1986
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
2001
Reducibility and contractivity of Runge-Kutta methods revisited. Zbl 1106.65062
Dahlquist, Germund; Jeltsch, Rolf
2006
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
1999
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
1984
Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. Zbl 1091.65028
Waldvogel, Jörg
2006
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
1982
On the stability of semi-implicit methods for ordinary differential equations. Zbl 0489.65046
Hairer, E.; Bader, G.; Lubich, Ch.
1982
A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079
Chawla, M. M.; Subramanian, R.; Sathi, H. L.
1988
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M.
2003
Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098
Joe, B.; Simpson, R. B.
1987
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang
2007
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
2002
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
2003
High order splitting methods for analytic semigroups exist. Zbl 1176.65066
Hansen, Eskil; Ostermann, Alexander
2009
The discrete Picard condition for discrete ill-posed problems. Zbl 0723.65147
Hansen, Per Christian
1990
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
2014
Two-step fourth order P-stable methods for second order differential equations. Zbl 0457.65053
Chawla, M. M.
1981
Error of Rosenbrock methods for stiff problems studied via differential algebraic equations. Zbl 0674.65039
Hairer, E.; Lubich, Ch.; Roche, M.
1989
New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index. Zbl 1093.65097
Rang, J.; Angermann, L.
2005
Limitations of the $$L$$-curve method in ill-posed problems. Zbl 0849.65039
Hanke, Martin
1996
Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise. Zbl 1080.65006
Yan, Yubin
2004
A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056
Cao, Yang; Ren, Zhi-Ru; Shi, Quan
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
2015
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
2007
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
2007
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
2009
Randomized Kaczmarz with averaging. Zbl 1460.15005
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna
2021
Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 07349675
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
2021
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. Zbl 07381120
Wang, Bin; Wu, Xinyuan
2021
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&rsquo;Riordan, Eugene; Stynes, Martin
2020
Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368
De Marchi, S.; Marchetti, F.; Perracchione, E.
2020
Fractional-order general Lagrange scaling functions and their applications. Zbl 1443.44003
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab Ali
2020
Maximum angles of $$\mathrm{A}(\vartheta)$$-stability of backward difference formulae. Zbl 1431.65104
Akrivis, Georgios; Katsoprinakis, Emmanouil
2020
Computable upper error bounds for Krylov approximations to matrix exponentials and associated $$\varphi$$-functions. Zbl 1432.65053
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar
2020
Dirichlet boundary value correction using Lagrange multipliers. Zbl 1431.65213
Burman, Erik; Hansbo, Peter; Larson, Mats G.
2020
Affine zipper fractal interpolation functions. Zbl 1439.28010
Chand, A. K. B.; Vijender, N.; Viswanathan, P.; Tetenov, A. V.
2020
Nonstandard finite element de Rham complexes on cubical meshes. Zbl 1447.65140
Gillette, Andrew; Hu, Kaibo; Zhang, Shuo
2020
Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation. Zbl 1445.60043
Bréhier, Charles-Edouard; Goudenège, Ludovic
2020
Automated local Fourier analysis (aLFA). Zbl 1446.65194
Kahl, Karsten; Kintscher, Nils
2020
Mean-square convergence rates of stochastic theta methods for SDEs under a coupled monotonicity condition. Zbl 07235984
Wang, Xiaojie; Wu, Jiayi; Dong, Bozhang
2020
Inexact methods for the low rank solution to large scale Lyapunov equations. Zbl 1455.65050
Kürschner, Patrick; Freitag, Melina A.
2020
Exact BDF stability angles with Maple. Zbl 1451.65093
Gander, Martin J.; Wanner, Gerhard
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
2020
Analysis of an approximation to a fractional extension problem. Zbl 07235982
Padgett, Joshua L.
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.
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
2020
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. Zbl 1446.65154
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng
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.
2020
Quantifying the ill-conditioning of analytic continuation. Zbl 1461.30014
Trefethen, Lloyd N.
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
2020
Semi-implicit Euler-Maruyama method for non-linear time-changed stochastic differential equations. Zbl 07286416
Deng, Chang-Song; Liu, Wei
2020
Symplectic dynamical low rank approximation of wave equations with random parameters. Zbl 07286417
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva
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
2019
On Milstein approximations with varying coefficients: the case of super-linear diffusion coefficients. Zbl 07137086
Kumar, Chaman; Sabanis, Sotirios
2019
On Motzkin’s method for inconsistent linear systems. Zbl 1435.65051
Haddock, Jamie; Needell, Deanna
2019
Spectral properties of flipped Toeplitz matrices and related preconditioning. Zbl 1417.15045
Mazza, M.; Pestana, J.
2019
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058
Pozza, Stefano; Simoncini, Valeria
2019
On banded $$M$$-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
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
2019
A stabilised finite element method for the plate obstacle problem. Zbl 1433.65295
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha
2019
Explicit computational wave propagation in micro-heterogeneous media. Zbl 1419.65041
Maier, Roland; Peterseim, Daniel
2019
On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case. Zbl 07106594
Li, Libo; Taguchi, Dai
2019
A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions. Zbl 1433.65165
Ridder, J.; Ruf, A. M.
2019
Multivariate data fitting with error control. Zbl 1411.41013
Cuyt, Annie; Salazar Celis, Oliver
2019
Krylov integrators for Hamiltonian systems. Zbl 1435.65228
Eirola, Timo; Koskela, Antti
2019
Stability and convergence of a conservative finite difference scheme for the modified Hunter-Saxton equation. Zbl 1416.65282
Sato, Shun
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
2019
Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives. Zbl 07074126
Ranocha, Hendrik
2019
Flexible GMRES for total variation regularization. Zbl 1420.65021
Gazzola, Silvia; Sabaté Landman, Malena
2019
Gaussian kernel quadrature at scaled Gauss-Hermite nodes. Zbl 1437.65012
Karvonen, Toni; Särkkä, Simo
2019
Directional total generalized variation regularization. Zbl 1429.49035
Kongskov, Rasmus Dalgas; Dong, Yiqiu; Knudsen, Kim
2019
Pricing multi-asset option problems: a Chebyshev pseudo-spectral method. Zbl 1419.91654
Soleymani, Fazlollah
2019
Rank one interval enclosure of the parametric united solution set. Zbl 1415.65110
Popova, Evgenija D.
2019
Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation. Zbl 1433.60073
Blömker, Dirk; Kamrani, Minoo
2019
Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations. Zbl 1416.65075
Majidian, Hassan
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
2019
Computation of matrix gamma function. Zbl 07074116
Cardoso, João R.; Sadeghi, Amir
2019
Weak backward error analysis for stochastic Hamiltonian systems. Zbl 07106589
Anton, Cristina
2019
Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1420.65045
Diao, Huai-An; Meng, Qing-Le
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
2019
A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin
2019
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
2018
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
2018
Energy behaviour of the Boris method for charged-particle dynamics. Zbl 1404.65309
Hairer, Ernst; Lubich, Christian
2018
Time filters increase accuracy of the fully implicit method. Zbl 1444.65026
Guzel, Ahmet; Layton, William
2018
Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems. Zbl 1397.65102
Kopecz, Stefan; Meister, Andreas
2018
Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise. Zbl 1405.65147
Bolin, David; Kirchner, Kristin; Kovács, Mihály
2018
Efficient preconditioner of one-sided space fractional diffusion equation. Zbl 1404.65136
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei
2018
Robust three-field finite element methods for Biot’s consolidation model in poroelasticity. Zbl 1428.65044
Lee, Jeonghun J.
2018
Stochastic discrete Hamiltonian variational integrators. Zbl 06989587
Holm, Darryl D.; Tyranowski, Tomasz M.
2018
Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations. Zbl 1398.65243
Ahmadinia, M.; Safari, Z.; Fouladi, S.
2018
Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion. Zbl 1395.65151
Rahimian, Abtin; Barnett, Alex; Zorin, Denis
2018
Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials. Zbl 06858774
Notaris, Sotirios E.
2018
On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046
Söderlind, Gustaf; Fekete, Imre; Faragó, István
2018
Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope. Zbl 06940690
Guessab, Allal; Semisalov, Boris
2018
Evaluation of Chebyshev polynomials by a three-term recurrence in floating-point arithmetic. Zbl 06894726
Hrycak, Tomasz; Schmutzhard, Sebastian
2018
On restarting the tensor infinite Arnoldi method. Zbl 1386.65132
Mele, Giampaolo; Jarlebring, Elias
2018
Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers. Zbl 1448.65251
Zhang, Jin; Liu, Xiaowei
2018
An accelerated Poisson solver based on multidomain spectral discretization. Zbl 1405.65156
Babb, Tracy; Gillman, Adrianna; Hao, Sijia; Martinsson, Per-Gunnar
2018
Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices. Zbl 1405.65051
Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano
2018
Regular solutions of DAE hybrid systems and regularization techniques. Zbl 1440.34013
Kunkel, Peter; Mehrmann, Volker
2018
The randomized Kaczmarz method with mismatched adjoint. Zbl 1404.65017
Lorenz, Dirk A.; Rose, Sean; Schöpfer, Frank
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.
2018
Well-balanced mesh-based and meshless schemes for the shallow-water equations. Zbl 1403.65038
Bihlo, Alexander; MacLachlan, Scott
2018
General order conditions for stochastic partitioned Runge-Kutta methods. Zbl 1394.65005
Anmarkrud, Sverre; Debrabant, Kristian; Kværnø, Anne
2018
Multiple orthogonal polynomials applied to matrix function evaluation. Zbl 06989580
Alqahtani, Hessah; Reichel, Lothar
2018
Backward error analysis of polynomial approximations for computing the action of the matrix exponential. Zbl 06989583
Caliari, Marco; Kandolf, Peter; Zivcovich, Franco
2018
Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices. Zbl 1405.65053
Okša, Gabriel; Yamamoto, Yusaku; Bečka, Martin; Vajteršic, Marián
2018
Correction to: “Solution methods for linear discrete ill-posed problems for color image restoration”. Zbl 1406.65026
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Onunwor, E.; Reichel, L.
2018
A Lyapunov and Sacker-Sell spectral stability theory for one-step methods. Zbl 1431.65092
Steyer, Andrew J.; Van Vleck, Erik S.
2018
A parallel spectral deferred correction method for first-order evolution problems. Zbl 1407.65076
Zhu, Shuai; Weng, Shilie
2018
Optimally zero stable explicit peer methods with variable nodes. Zbl 1432.65089
Klinge, Marcel; Weiner, Rüdiger; Podhaisky, Helmut
2018
Lagrangian and Hamiltonian Taylor variational integrators. Zbl 1392.37089
Schmitt, Jeremy; Shingel, Tatiana; Leok, Melvin
2018
The effect of uncertain geometries on advection-diffusion of scalar quantities. Zbl 1398.35103
Wahlsten, Markus; Nordström, Jan
2018
Evaluation schemes in the ring of quaternionic polynomials. Zbl 06858769
Falcão, M. Irene; Miranda, Fernando; Severino, Ricardo; Soares, M. Joana
2018
Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers’ equation. Zbl 1448.65108
Kumar, Rakesh
2018
Regularized HSS iteration methods for saddle-point linear systems. Zbl 1367.65048
Bai, Zhong-Zhi; Benzi, Michele
2017
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. Zbl 1368.65133
Coclite, G. M.; Ridder, J.; Risebro, N. H.
2017
Majorization-minimization generalized Krylov subspace methods for $${\ell _p}$$-$${\ell _q}$$ optimization applied to image restoration. Zbl 1369.65073
Huang, G.; Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F.
2017
Mean-square convergence of the BDF2-Maruyama and backward Euler schemes for SDE satisfying a global monotonicity condition. Zbl 1365.65010
Andersson, Adam; Kruse, Raphael
2017
A breakdown-free block conjugate gradient method. Zbl 1392.65057
Ji, Hao; Li, Yaohang
2017
Delay-dependent stability of numerical methods for delay differential systems of neutral type. Zbl 1422.65097
Hu, Guang-Da; Mitsui, Taketomo
2017
GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane
2017
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
2017
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. Zbl 1377.65124
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S.
2017
Locally linearized methods for the simulation of stochastic oscillators driven by random forces. Zbl 1364.65021
de la Cruz, H.; Jimenez, J. C.; Zubelli, J. P.
2017
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#### Cited by 12,169 Authors

 147 Simos, Theodore E. 114 Reichel, Lothar 65 Jackiewicz, Zdzislaw 62 Argyros, Ioannis Konstantinos 62 Wei, Yimin 54 Huang, Ting-Zhu 53 Serra-Capizzano, Stefano 53 Wu, Xinyuan 52 Weiner, Rüdiger 42 Ostermann, Alexander 41 Xiang, Shuhuang 40 Dehghan Takht Fooladi, Mehdi 38 Zhang, Chengjian 37 Huang, Chengming 37 Lubich, Christian 35 Simoncini, Valeria 34 Burrage, Kevin 34 Butcher, John C. 34 D’Ambrosio, Raffaele 34 Li, Shoufu 33 Chand, Arya Kumar Bedabrata 33 Hairer, Ernst 33 Jia, Zhongxiao 33 Zhang, Guofeng 32 Bai, Zhongzhi 32 Spalević, Miodrag M. 32 Spijker, Marc N. 32 Wang, Wansheng 30 Paternoster, Beatrice 29 Petković, Miodrag S. 28 Hadjidimos, Apostolos 28 Wen, Liping 28 Xiao, Aiguo 27 Wang, Bin 26 Cao, Yang 26 Gan, Siqing 26 Ma, Changfeng 25 Sharma, Janak Raj 24 Donatelli, Marco 24 Gander, Martin Jakob 24 Hundsdorfer, Willem H. 24 Iserles, Arieh 23 Abdi, Ali 23 Auzinger, Winfried 23 Kloeden, Peter Eris 22 Blanes, Sergio 22 Brugnano, Luigi 22 Hansen, Per Christian 22 Khaliq, Abdul Q. M. 22 Milovanović, Gradimir V. 22 Sandu, Adrian 22 Sgallari, Fiorella 21 Diao, Huaian 21 Jin, Xiaoqing 21 Li, Rencang 21 Montijano, Juan Ignacio 21 Sanz-Serna, Jesús María 21 Schmitt, Bernhard A. 20 Brunner, Hermann 20 Conti, Costanza 20 González-Pinto, Severiano 20 Gu, Xian-Ming 20 Koch, Othmar 20 Kressner, Daniel 20 Owren, Brynjulf 20 Zhao, Jingjun 19 Axelsson, Axel Owe Holger 19 Calvo, Manuel 19 Celledoni, Elena 19 Debrabant, Kristian 19 Garrappa, Roberto 19 Han, Xuli 19 Higham, Nicholas J. 19 Hu, Guangda 19 Jentzen, Arnulf 19 Li, Buyang 19 Liang, Zhaozheng 19 Murua, Ander 19 Tian, Hongjiong 19 Viswanathan, Puthan Veedu 19 Wu, Yujiang 19 Xu, Yang 18 Chawla, Man M. 18 Conte, Dajana 18 Li, Hanyu 18 Mao, Xuerong 18 Morigi, Serena 18 Noschese, Silvia 18 Rández, Luis 18 Schmidt, Jochen Wilhelm 18 Thalhammer, Mechthild 18 Vanden Berghe, Guido 18 Yang, Aili 18 Yu, Yuexin 17 Benzi, Michele 17 Chen, Ruyun 17 Dagnino, Catterina 17 Gu, Chuanqing 17 Higueras, Inmaculada 17 Hojjati, Gholamreza ...and 12,069 more Authors
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#### Cited in 674 Journals

 1,199 Journal of Computational and Applied Mathematics 781 BIT 654 Applied Mathematics and Computation 654 Applied Numerical Mathematics 428 Numerical Algorithms 412 Journal of Computational Physics 390 Linear Algebra and its Applications 389 Computers & Mathematics with Applications 286 Numerische Mathematik 269 SIAM Journal on Scientific Computing 260 International Journal of Computer Mathematics 256 Journal of Scientific Computing 229 Mathematics of Computation 165 Computer Methods in Applied Mechanics and Engineering 124 Numerical Linear Algebra with Applications 123 SIAM Journal on Numerical Analysis 116 Computing 116 Journal of Mathematical Chemistry 108 SIAM Journal on Matrix Analysis and Applications 101 Theoretical Computer Science 98 Applied Mathematics Letters 98 Advances in Computational Mathematics 95 Journal of Mathematical Analysis and Applications 94 Calcolo 90 Mathematics and Computers in Simulation 88 Computational and Applied Mathematics 72 Information Processing Letters 58 Discrete Applied Mathematics 57 Computer Aided Geometric Design 56 Algorithmica 54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 53 Mathematical Problems in Engineering 52 Foundations of Computational Mathematics 50 Applied Mathematical Modelling 49 Communications in Nonlinear Science and Numerical Simulation 48 Journal of Approximation Theory 48 Numerical Functional Analysis and Optimization 48 Abstract and Applied Analysis 45 Engineering Analysis with Boundary Elements 43 Computational Geometry 42 Journal of Complexity 42 Numerical Methods for Partial Differential Equations 42 Mathematical and Computer Modelling 40 International Journal for Numerical Methods in Engineering 40 Journal of Global Optimization 40 Journal of Applied Mathematics and Computing 39 Computer Physics Communications 39 Japan Journal of Industrial and Applied Mathematics 37 Computers and Fluids 35 Computational Optimization and Applications 34 Journal of Optimization Theory and Applications 30 Linear and Multilinear Algebra 30 Chaos, Solitons and Fractals 30 Computational Mechanics 29 Mathematical Programming. Series A. Series B 29 ETNA. Electronic Transactions on Numerical Analysis 29 Optimization Methods & Software 28 Discrete & Computational Geometry 27 Journal of Applied Mathematics 26 Information Sciences 26 Physica D 26 International Journal of Computational Geometry & Applications 26 Advances in Difference Equations 26 East Asian Journal on Applied Mathematics 23 Discrete Mathematics 23 Inverse Problems 23 Journal of Integral Equations and Applications 23 Computational Statistics and Data Analysis 23 Journal of Mathematical Imaging and Vision 23 Discrete and Continuous Dynamical Systems. Series B 22 Computational Mathematics and Mathematical Physics 22 Journal of Difference Equations and Applications 22 S$$\vec{\text{e}}$$MA Journal 22 SIAM/ASA Journal on Uncertainty Quantification 21 Mathematical Methods in the Applied Sciences 21 Mediterranean Journal of Mathematics 21 Inverse Problems in Science and Engineering 20 Artificial Intelligence 20 Journal of Computer and System Sciences 20 SIAM Review 20 International Journal of Computational Methods 19 Journal of Symbolic Computation 19 European Journal of Operational Research 19 Fractional Calculus & Applied Analysis 18 Applicable Analysis 18 Discrete and Continuous Dynamical Systems 17 Journal of Fluid Mechanics 17 Automatica 17 Acta Applicandae Mathematicae 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 SIAM Journal on Optimization 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Communications in Numerical Methods in Engineering 17 Science China. Mathematics 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Acta Mathematicae Applicatae Sinica. English Series 16 Applications of Mathematics 16 International Journal of Modern Physics C 16 International Journal of Applied and Computational Mathematics 15 Cybernetics and Systems Analysis ...and 574 more Journals
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#### Cited in 61 Fields

 9,240 Numerical analysis (65-XX) 1,930 Partial differential equations (35-XX) 1,841 Ordinary differential equations (34-XX) 1,010 Computer science (68-XX) 922 Linear and multilinear algebra; matrix theory (15-XX) 800 Approximations and expansions (41-XX) 675 Fluid mechanics (76-XX) 624 Probability theory and stochastic processes (60-XX) 578 Operations research, mathematical programming (90-XX) 428 Integral equations (45-XX) 385 Dynamical systems and ergodic theory (37-XX) 327 Operator theory (47-XX) 318 Mechanics of deformable solids (74-XX) 285 Combinatorics (05-XX) 241 Systems theory; control (93-XX) 234 Biology and other natural sciences (92-XX) 225 Calculus of variations and optimal control; optimization (49-XX) 213 Optics, electromagnetic theory (78-XX) 212 Real functions (26-XX) 212 Information and communication theory, circuits (94-XX) 190 Statistics (62-XX) 189 Mechanics of particles and systems (70-XX) 151 Quantum theory (81-XX) 143 Harmonic analysis on Euclidean spaces (42-XX) 131 Special functions (33-XX) 127 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 125 Functions of a complex variable (30-XX) 112 Statistical mechanics, structure of matter (82-XX) 91 Convex and discrete geometry (52-XX) 80 Geophysics (86-XX) 76 Number theory (11-XX) 74 Classical thermodynamics, heat transfer (80-XX) 62 Difference and functional equations (39-XX) 62 Integral transforms, operational calculus (44-XX) 55 Field theory and polynomials (12-XX) 51 Measure and integration (28-XX) 47 Functional analysis (46-XX) 42 Differential geometry (53-XX) 30 Global analysis, analysis on manifolds (58-XX) 29 Topological groups, Lie groups (22-XX) 27 History and biography (01-XX) 27 Algebraic geometry (14-XX) 26 Sequences, series, summability (40-XX) 25 Mathematical logic and foundations (03-XX) 22 Commutative algebra (13-XX) 22 Potential theory (31-XX) 19 General and overarching topics; collections (00-XX) 17 Geometry (51-XX) 16 Associative rings and algebras (16-XX) 15 Nonassociative rings and algebras (17-XX) 13 Astronomy and astrophysics (85-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 8 General topology (54-XX) 7 Group theory and generalizations (20-XX) 7 Relativity and gravitational theory (83-XX) 7 Mathematics education (97-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 3 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX)