## 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: 2,164 Publications (since 1981) References Indexed: 1,847 Publications with 35,457 References.
all top 5

### Latest Issues

 62, No. 3 (2022) 62, No. 2 (2022) 62, No. 1 (2022) 61, No. 4 (2021) 61, No. 3 (2021) 61, No. 2 (2021) 61, No. 1 (2021) 60, No. 4 (2020) 60, No. 3 (2020) 60, No. 2 (2020) 60, No. 1 (2020) 59, No. 4 (2019) 59, No. 3 (2019) 59, No. 2 (2019) 59, No. 1 (2019) 58, No. 4 (2018) 58, No. 3 (2018) 58, No. 2 (2018) 58, No. 1 (2018) 57, No. 4 (2017) 57, No. 3 (2017) 57, No. 2 (2017) 57, No. 1 (2017) 56, No. 4 (2016) 56, No. 3 (2016) 56, No. 2 (2016) 56, No. 1 (2016) 55, No. 4 (2015) 55, No. 3 (2015) 55, No. 2 (2015) 55, No. 1 (2015) 54, No. 4 (2014) 54, No. 3 (2014) 54, No. 2 (2014) 54, No. 1 (2014) 53, No. 4 (2013) 53, No. 3 (2013) 53, No. 2 (2013) 53, No. 1 (2013) 52, No. 4 (2012) 52, No. 3 (2012) 52, No. 2 (2012) 52, No. 1 (2012) 51, No. 4 (2011) 51, No. 3 (2011) 51, No. 2 (2011) 51, No. 1 (2011) 50, No. 4 (2010) 50, No. 3 (2010) 50, No. 2 (2010) 50, No. 1 (2010) 49, No. 4 (2009) 49, No. 3 (2009) 49, No. 2 (2009) 49, No. 1 (2009) 48, No. 4 (2008) 48, No. 3 (2008) 48, No. 2 (2008) 48, No. 1 (2008) 47, No. 4 (2007) 47, No. 3 (2007) 47, No. 2 (2007) 47, No. 1 (2007) 46, No. 4 (2006) 46, No. 3 (2006) 46, No. 2 (2006) 46, No. 1 (2006) 46, Suppl. (2006) 45, No. 4 (2005) 45, No. 3 (2005) 45, No. 2 (2005) 45, No. 1 (2005) 44, No. 4 (2004) 44, No. 3 (2004) 44, No. 2 (2004) 44, No. 1 (2004) 43, No. 4 (2003) 43, No. 3 (2003) 43, No. 2 (2003) 43, No. 1 (2003) 43, Suppl. (2003) 42, No. 4 (2002) 42, No. 3 (2002) 42, No. 2 (2002) 42, No. 1 (2002) 41, No. 4 (2001) 41, No. 3 (2001) 41, No. 2 (2001) 41, No. 1 (2001) 40, No. 4 (2000) 40, No. 3 (2000) 40, No. 2 (2000) 40, No. 1 (2000) 39, No. 4 (1999) 39, No. 3 (1999) 39, No. 2 (1999) 39, No. 1 (1999) 38, No. 4 (1998) 38, No. 3 (1998) 38, No. 2 (1998) ...and 46 more Volumes
all top 5

### Authors

 28 Reichel, Lothar 22 Butcher, John C. 19 Hairer, Ernst 19 Lubich, Christian 16 Golub, Gene Howard 14 Gautschi, Walter 14 Hansen, Per Christian 14 Rump, Siegfried Michael 13 Burrage, Kevin 11 Söderlind, Gustaf 10 Eldén, Lars 10 Higham, Desmond J. 10 Hundsdorfer, Willem H. 10 Iserles, Arieh 10 Nevanlinna, Olavi 10 Sakai, Manabu 9 Nørsett, Syvert Paul 9 Ostermann, Alexander 9 Usmani, Riaz A. 8 Auzinger, Winfried 8 Chawla, Man M. 8 Higham, Nicholas J. 8 Jackiewicz, Zdzislaw 8 Jin, Xiaoqing 8 Kvaerno, Anne 8 Li, Rencang 8 Serra-Capizzano, Stefano 8 Simoncini, Valeria 7 Brunner, Hermann 7 Dagnino, Catterina 7 Dahlquist, Germund 7 Gander, Martin Jakob 7 Hiptmair, Ralf 7 Larsson, Stig 7 Lötstedt, Per 7 Mäkinen, Erkki 7 Sbibih, Driss 7 Spijker, Marc N. 7 Trefethen, Lloyd Nicholas 7 Watson, G. Alistair 7 Weiner, Rüdiger 7 Zha, Hongyuan 6 Axelsson, Axel Owe Holger 6 Bai, Zhongzhi 6 Benzi, Michele 6 Calvetti, Daniela 6 Calvo, Manuel 6 Debrabant, Kristian 6 Huhtanen, Marko 6 Jeltsch, Rolf 6 Katajainen, Jyrki 6 Kressner, Daniel 6 Lyness, James N. 6 Mehrmann, Volker 6 Meurant, Gérard A. 6 Ng, Michael Kwok-Po 6 Owren, Brynjulf 6 Pryce, John D. 6 Quispel, Gilles Reinout Willem 6 Rabinowitz, Philip 6 Reich, Sebastian 6 Remogna, Sara 6 Renaut, Rosemary Anne 6 Riesel, Hans 6 Schmidt, Jochen Wilhelm 6 Smith, Harry V. 6 Stynes, Martin 5 Bakaev, Nikolai Yu. 5 Björck, Åke 5 Chartier, Philippe 5 Costabile, Francesco Aldo 5 Cuminato, José Alberto 5 Duff, Iain S. 5 Espelid, Terje O. 5 Evans, David John 5 Favati, Paola 5 González-Pinto, Severiano 5 Hadjidimos, Apostolos 5 Hoang, Nguyen Si 5 Hong, Jialin 5 Huang, Shou-Hsuan Stephen 5 Huckle, Thomas Kilian 5 in ’t Hout, Karel J. 5 Jimenez, Juan Carlos 5 Kloeden, Peter Eris 5 Kovács, Mihály 5 Lee, Richard Chia-Tung 5 Mazzia, Francesca 5 McLachlan, Robert I. 5 Mitsui, Taketomo 5 Montijano, Juan Ignacio 5 Park, Haesun 5 Peña, Juan Manuel 5 Ramage, Alison 5 Risebro, Nils Henrik 5 Ruhe, Axel 5 Sablonnière, Paul 5 Sand, Jorgen 5 Skelboe, Stig 5 Smoktunowicz, Alicja ...and 2,320 more Authors
all top 5

### Fields

 1,764 Numerical analysis (65-XX) 385 Ordinary differential equations (34-XX) 309 Partial differential equations (35-XX) 302 Computer science (68-XX) 213 Approximations and expansions (41-XX) 136 Linear and multilinear algebra; matrix theory (15-XX) 111 Probability theory and stochastic processes (60-XX) 77 Dynamical systems and ergodic theory (37-XX) 72 Integral equations (45-XX) 68 Operations research, mathematical programming (90-XX) 48 Fluid mechanics (76-XX) 39 Functions of a complex variable (30-XX) 38 Combinatorics (05-XX) 37 Operator theory (47-XX) 34 Optics, electromagnetic theory (78-XX) 32 Real functions (26-XX) 31 Mechanics of particles and systems (70-XX) 31 Information and communication theory, circuits (94-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 26 Special functions (33-XX) 25 Number theory (11-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Statistics (62-XX) 21 Mechanics of deformable solids (74-XX) 15 Field theory and polynomials (12-XX) 14 Integral transforms, operational calculus (44-XX) 14 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 12 Convex and discrete geometry (52-XX) 11 Mathematical logic and foundations (03-XX) 10 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Sequences, series, summability (40-XX) 5 Difference and functional equations (39-XX) 5 Geometry (51-XX) 5 Differential geometry (53-XX) 5 Geophysics (86-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

1,821 Publications have been cited 18,564 times in 13,377 Documents Cited by Year
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
2000
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
2001
Fourier spectral methods for fractional-in-space reaction-diffusion equations. Zbl 1306.65265
Bueno-Orovio, Alfonso; Kay, David; Burrage, Kevin
2014
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
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
Error bounds for exponential operator splittings. Zbl 0972.65061
Jahnke, Tobias; Lubich, Christian
2000
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
Contractivity of Runge-Kutta methods. Zbl 0763.65059
Kraaijevanger, J. F. B. M.
1991
The effect of ordering on preconditioned conjugate gradients. Zbl 0687.65037
Duff, Iain S.; Meurant, Gérard A.
1989
Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations. Zbl 0657.65093
Hairer, E.; Lubich, Ch.; Roche, M.
1988
Lubich, Christian
2004
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
1987
Randomized Kaczmarz solver for noisy linear systems. Zbl 1195.65038
Needell, Deanna
2010
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
1984
Numerov made explicit has better stability. Zbl 0568.65042
Chawla, M. M.
1984
RD-rational approximations of the matrix exponential. Zbl 1075.65062
Moret, I.; Novati, P.
2004
The power of geometric duality. Zbl 0603.68072
Chazelle, Bernard; Guibas, Leo J.; Lee, D. T.
1985
Runge-Kutta methods on Lie groups. Zbl 0904.65077
Munthe-Kaas, Hans
1998
Unconditionally stable Noumerov-type methods for second order differential equations. Zbl 0523.65055
Chawla, M. M.
1983
A note on $$Q$$-order of convergence. Zbl 0973.40001
Jay, L. O.
2001
A PI stepsize control for the numerical solution of ordinary differential equations. Zbl 0645.65039
Gustafsson, Kjell; Lundh, Michael; Söderlind, Gustaf
1988
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
2006
The asymptotic stability of one-parameter methods for neutral differential equations. Zbl 0814.65078
Kuang, J. X.; Xiang, J. X.; Tian, H. J.
1994
A weighted pseudoinverse, generalized singular values, and constrained least squares problems. Zbl 0509.65019
Elden, Lars
1982
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
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
1994
A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. Zbl 0765.65069
in’t Hout, Karel J.
1992
Linear energy-preserving integrators for Poisson systems. Zbl 1216.65175
Cohen, David; Hairer, Ernst
2011
An Arnoldi method for nonlinear eigenvalue problems. Zbl 1066.65059
Voss, H.
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.
1981
Multi-grid dynamic iteration for parabolic equations. Zbl 0623.65125
Lubich, Ch.; Ostermann, A.
1987
Positivity of cubic polynomials on intervals and positive spline interpolation. Zbl 0642.41007
Schmidt, Jochen W.; Heß, Walter
1988
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
2005
Stability analysis of numerical methods for systems of neutral delay-differential equations. Zbl 0841.65062
Hu, Guang-Da; Mitsui, Taketomo
1995
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O.
1985
Numerical approximation of vector-valued highly oscillatory integrals. Zbl 1131.65028
Olver, S.
2007
A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects. Zbl 1283.65010
Chand, A. K. B.; Viswanathan, P.
2013
New iterations of $$R$$-order four with reduced computational cost. Zbl 1170.65038
Ezquerro, J. A.; Hernández, M. A.
2009
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
2003
Low-rank tensor completion by Riemannian optimization. Zbl 1300.65040
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart
2014
$$A$$-stability and stochastic mean-square stability. Zbl 0961.65003
Higham, Desmond J.
2000
A class of explicit exponential general linear methods. Zbl 1103.65061
Ostermann, A.; Thalhammer, M.; Wright, W. M.
2006
The logarithmic norm. History and modern theory. Zbl 1102.65088
Söderlind, Gustaf
2006
Finite difference methods for a nonlocal boundary value problem for the heat equation. Zbl 0738.65074
Ekolin, Gunnar
1991
Gander, Walter; Gautschi, Walter
2000
Stability of collocation-based Runge-Kutta-Nyström methods. Zbl 0731.65071
van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong
1991
Estimation of the $$L$$-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
1999
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
1990
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
The stability of rational approximations of analytic semigroups. Zbl 0783.65050
Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V.
1993
High order explicit methods for parabolic equations. Zbl 0909.65060
Medovikov, Alexei A.
1998
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
2006
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030
Serra, Stefano
1994
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
A fourth order method for a singular two-point boundary value problem. Zbl 0636.65079
Chawla, M. M.; Subramanian, R.; Sathi, H. L.
1988
Modified Clenshaw-Curtis method for the computation of Bessel function integrals. Zbl 0514.65008
Piessens, Robert; Branders, Maria
1983
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
2016
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
1999
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
1988
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
2015
The construction of practical general linear methods. Zbl 1046.65054
Butcher, J. C.; Wright, W. M.
2003
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices. Zbl 0810.65032
Ruhe, Axel
1994
On resolvent conditions and stability estimates. Zbl 0731.65043
Lubich, Christian; Nevanlinna, Olavi
1991
A projector-splitting integrator for dynamical low-rank approximation. Zbl 1314.65095
Lubich, Christian; Oseledets, Ivan
2014
Approximating maximum independent sets by excluding subgraphs. Zbl 0761.68044
1992
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.
2010
Order $$h^ 2$$ method for a singular two-point boundary value problem. Zbl 0602.65063
Chawla, M. M.; McKee, S.; Shaw, G.
1986
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
1997
Bounding solutions of systems of equations using interval analysis. Zbl 0455.65037
Hansen, Eldon; Sengupta, Saumyendra
1981
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
A simple structural analysis method for DAEs. Zbl 0989.34005
Pryce, J. D.
2001
Relationship between tetrahedron shape measures. Zbl 0806.65104
Liu, A.; Joe, B.
1994
A continuation multilevel Monte Carlo algorithm. Zbl 1317.65030
Collier, Nathan; Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl
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
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
2014
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
2001
Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. Zbl 1091.65028
Waldvogel, Jörg
2006
High order splitting methods for analytic semigroups exist. Zbl 1176.65066
Hansen, Eskil; Ostermann, Alexander
2009
On the stability of semi-implicit methods for ordinary differential equations. Zbl 0489.65046
Hairer, E.; Bader, G.; Lubich, Ch.
1982
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang
2007
A simplified HSS preconditioner for generalized saddle point problems. Zbl 1347.65056
Cao, Yang; Ren, Zhi-Ru; Shi, Quan
2016
Multirate partitioned Runge-Kutta methods. Zbl 0990.65081
Günther, M.; Kværnø, A.; Rentrop, P.
2001
A stability property of $$A$$-stable natural Runge-Kutta methods for systems of delay differential equations. Zbl 0805.65083
Koto, T.
1994
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
2011
Inexact Rayleigh quotient-type methods for eigenvalue computations. Zbl 1003.65033
Simoncini, Valeria; Eldén, Lars
2002
Corrections to Lee’s visibility polygon algorithm. Zbl 0643.68098
Joe, B.; Simpson, R. B.
1987
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
1984
Stabbing line segments. Zbl 0484.68053
Edelsbrunner, H.; Maurer, H. A.; Preparata, F. P.; Rosenberg, A. L.; Welzl, E.; Wood, D.
1982
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
2011
Reducibility and contractivity of Runge-Kutta methods revisited. Zbl 1106.65062
Dahlquist, Germund; Jeltsch, Rolf
2006
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
2009
Approximate inverse preconditioning for shifted linear systems. Zbl 1037.65043
Benzi, Michele; Bertaccini, Daniele
2003
An unconventional robust integrator for dynamical low-rank approximation. Zbl 1481.65068
Ceruti, Gianluca; Lubich, Christian
2022
Embedded exponential-type low-regularity integrators for KdV equation under rough data. Zbl 07569617
Wu, Yifei; Zhao, Xiaofei
2022
Randomized Kaczmarz for tensor linear systems. Zbl 1485.65034
Ma, Anna; Molitor, Denali
2022
Rational Krylov methods for fractional diffusion problems on graphs. Zbl 07515293
Benzi, Michele; Simunec, Igor
2022
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. Zbl 07569612
Kemmochi, Tomoya; Sato, Shun
2022
Homogeneous multigrid for embedded discontinuous Galerkin methods. Zbl 07569616
Lu, Peipei; Rupp, Andreas; Kanschat, Guido
2022
Randomized Kaczmarz with averaging. Zbl 1460.15005
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna
2021
Rational Krylov for Stieltjes matrix functions: convergence and pole selection. Zbl 1461.65064
Massei, Stefano; Robol, Leonardo
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
2021
Runge-Kutta Lawson schemes for stochastic differential equations. Zbl 1489.65014
Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua
2021
Efficient exponential Runge-Kutta methods of high order: construction and implementation. Zbl 1471.65069
Luan, Vu Thai
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
2021
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 07430401
Zheng, Xiangcheng; Wang, Hong
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.
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.
2021
Numerical conservative solutions of the Hunter-Saxton equation. Zbl 1465.35351
Grunert, Katrin; Nordli, Anders; Solem, Susanne
2021
Optimal quadratic element on rectangular grids for $$H^1$$ problems. Zbl 1472.65150
Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo
2021
Block boundary value methods for linear weakly singular Volterra integro-differential equations. Zbl 1472.65170
Zhou, Yongtao; Stynes, Martin
2021
Power boundedness in the maximum norm of stability matrices for ADI methods. Zbl 07381114
González-Pinto, S.; Hairer, E.; Hernández-Abreu, D.
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
2021
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong
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
2021
Asymptotic preserving trigonometric integrators for the quantum Zakharov system. Zbl 1466.65162
Baumstark, Simon; Schratz, Katharina
2021
Explicit stabilised gradient descent for faster strongly convex optimisation. Zbl 1462.90089
Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C.
2021
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems. Zbl 1461.65255
2021
Goćwin, Maciej
2021
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration. Zbl 1465.65163
Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling
2021
Variational time discretizations of higher order and higher regularity. Zbl 1472.65082
Becher, Simon; Matthies, Gunar
2021
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators. Zbl 1472.65013
Jin, Sixian; Kobayashi, Kei
2021
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality. Zbl 1480.65347
Wang, Fei; Shah, Sheheryar; Xiao, Wenqiang
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
2021
A numerical study of variational discretizations of the Camassa-Holm equation. Zbl 1477.35212
Galtung, Sondre Tesdal; Grunert, Katrin
2021
Fractional-order general Lagrange scaling functions and their applications. Zbl 1443.44003
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab Ali
2020
Mean-square convergence rates of stochastic theta methods for SDEs under a coupled monotonicity condition. Zbl 1469.65033
Wang, Xiaojie; Wu, Jiayi; Dong, Bozhang
2020
Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368
De Marchi, S.; Marchetti, F.; Perracchione, E.
2020
Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann-Liouville-Caputo fractional derivative. Zbl 1442.65130
Gracia, José Luis; O&rsquo;Riordan, Eugene; Stynes, Martin
2020
Maximum angles of $$\mathrm{A}(\vartheta)$$-stability of backward difference formulae. Zbl 1431.65104
Akrivis, Georgios; Katsoprinakis, Emmanouil
2020
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. Zbl 1446.65154
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng
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
Nonstandard finite element de Rham complexes on cubical meshes. Zbl 1447.65140
Gillette, Andrew; Hu, Kaibo; Zhang, Shuo
2020
Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. Zbl 1446.65037
Ceruti, Gianluca; Lubich, Christian
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
Quantifying the ill-conditioning of analytic continuation. Zbl 1461.30014
Trefethen, Lloyd N.
2020
Inexact methods for the low rank solution to large scale Lyapunov equations. Zbl 1455.65050
Kürschner, Patrick; Freitag, Melina A.
2020
Affine zipper fractal interpolation functions. Zbl 1439.28010
Chand, A. K. B.; Vijender, N.; Viswanathan, P.; Tetenov, A. V.
2020
Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation. Zbl 1445.60043
Bréhier, Charles-Edouard; Goudenège, Ludovic
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
Semi-implicit Euler-Maruyama method for non-linear time-changed stochastic differential equations. Zbl 1469.65028
Deng, Chang-Song; Liu, Wei
2020
Symplectic dynamical low rank approximation of wave equations with random parameters. Zbl 1479.65009
Musharbash, Eleonora; Nobile, Fabio; Vidličková, Eva
2020
Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations. Zbl 1431.65120
Chandhini, G.; Prashanthi, K. S.; Vijesh, V. Antony
2020
Poincaré-Friedrichs inequalities of complexes of discrete distributional differential forms. Zbl 1447.65131
Christiansen, Snorre H.; Licht, Martin W.
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
Automated local Fourier analysis (aLFA). Zbl 1446.65194
Kahl, Karsten; Kintscher, Nils
2020
Analysis of an approximation to a fractional extension problem. Zbl 1470.65108
2020
A minimal-variable symplectic method for isospectral flows. Zbl 1448.37107
Viviani, Milo
2020
Approximation of the matrix exponential for matrices with a skinny field of values. Zbl 1455.65069
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco
2020
Numerical upscaling of discrete network models. Zbl 1431.65208
Kettil, G.; Målqvist, A.; Mark, A.; Fredlund, M.; Wester, K.; Edelvik, F.
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
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
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. Zbl 1472.60111
Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E.
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 Motzkin’s method for inconsistent linear systems. Zbl 1435.65051
2019
On banded $$M$$-splitting iteration methods for solving discretized spatial fractional diffusion equations. Zbl 1450.65102
Bai, Zhong-Zhi; Lu, Kang-Ya
2019
Explicit computational wave propagation in micro-heterogeneous media. Zbl 1419.65041
Maier, Roland; Peterseim, Daniel
2019
On Milstein approximations with varying coefficients: the case of super-linear diffusion coefficients. Zbl 07137086
Kumar, Chaman; Sabanis, Sotirios
2019
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. Zbl 1434.65058
Pozza, Stefano; Simoncini, Valeria
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
Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives. Zbl 1482.65151
Ranocha, Hendrik
2019
A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin
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
Spectral properties of flipped Toeplitz matrices and related preconditioning. Zbl 1417.15045
Mazza, M.; Pestana, J.
2019
Pricing multi-asset option problems: a Chebyshev pseudo-spectral method. Zbl 1419.91654
Soleymani, Fazlollah
2019
A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions. Zbl 1433.65165
Ridder, J.; Ruf, A. M.
2019
A stabilised finite element method for the plate obstacle problem. Zbl 1433.65295
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha
2019
Computation of matrix gamma function. Zbl 07074116
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
Flexible GMRES for total variation regularization. Zbl 1420.65021
Gazzola, Silvia; Sabaté Landman, Malena
2019
On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case. Zbl 1480.65017
Li, Libo; Taguchi, Dai
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
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
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
Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems. Zbl 1442.65059
Chiang, Chun-Yueh; Lin, Matthew M.; Jin, Xiao-Qing
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
Central orderings for the Newton interpolation formula. Zbl 1416.41001
Carnicer, J. M.; Khiar, Y.; Peña, J. M.
2019
Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices. Zbl 1420.65045
Diao, Huai-An; Meng, Qing-Le
2019
Numerical computation of H-bases. Zbl 1420.13061
Javanbakht, Masoumeh; Sauer, Tomas
2019
Extended and rational Hessenberg methods for the evaluation of matrix functions. Zbl 07074125
Ramezani, Z.; Toutounian, F.
2019
Variants of residual smoothing with a small residual gap. Zbl 1420.65026
Aihara, Kensuke; Komeyama, Ryosuke; Ishiwata, Emiko
2019
New stability results for explicit Runge-Kutta methods. Zbl 1420.65076
2019
Weak backward error analysis for stochastic Hamiltonian systems. Zbl 07106589
Anton, Cristina
2019
Behavior of different numerical schemes for random genetic drift. Zbl 1420.65091
Xu, Shixin; Chen, Minxin; Liu, Chun; Zhang, Ran; Yue, Xingye
2019
Optimal $$L^\infty (L^2)$$ error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem. Zbl 1433.65212
Huang, Chaobao; Stynes, Martin; An, Na
2018
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
2018
...and 1594 more Documents
all top 5

### Cited by 13,546 Authors

 159 Simos, Theodore E. 123 Reichel, Lothar 69 Jackiewicz, Zdzislaw 66 Wei, Yimin 64 Argyros, Ioannis Konstantinos 59 Wu, Xinyuan 55 Huang, Ting-Zhu 55 Serra-Capizzano, Stefano 52 Weiner, Rüdiger 47 Ostermann, Alexander 45 Xiang, Shuhuang 44 Zhang, Chengjian 42 Dehghan Takht Fooladi, Mehdi 42 Lubich, Christian 39 D’Ambrosio, Raffaele 39 Huang, Chengming 39 Simoncini, Valeria 39 Wang, Wansheng 37 Chand, Arya Kumar Bedabrata 37 Zhang, Guofeng 35 Burrage, Kevin 35 Hairer, Ernst 35 Li, Shoufu 34 Butcher, John C. 34 Jia, Zhongxiao 34 Spalević, Miodrag M. 33 Bai, Zhongzhi 33 Paternoster, Beatrice 32 Abdi, Ali 32 Spijker, Marc N. 31 Petković, Miodrag S. 31 Wang, Bin 31 Xiao, Aiguo 29 Ma, Changfeng 28 Gan, Siqing 28 Hadjidimos, Apostolos 28 Wen, Liping 27 Cao, Yang 27 Donatelli, Marco 26 Blanes, Sergio 26 Sandu, Adrian 26 Sharma, Janak Raj 25 Gander, Martin Jakob 24 Auzinger, Winfried 24 Gu, Xian-Ming 24 Hundsdorfer, Willem H. 24 Iserles, Arieh 24 Khaliq, Abdul Q. M. 24 Li, Buyang 24 Sgallari, Fiorella 24 Zhao, Jingjun 23 Axelsson, Axel Owe Holger 23 Brugnano, Luigi 23 González-Pinto, Severiano 23 Hansen, Per Christian 23 Hojjati, Gholamreza 23 Jin, Xiaoqing 23 Kloeden, Peter Eris 23 Li, Rencang 23 Milovanović, Gradimir V. 23 Owolabi, Kolade Matthew 23 Xu, Yang 22 Celledoni, Elena 22 Conti, Costanza 22 Diao, Huaian 22 Ding, Xiaohua 22 Jbilou, Khalide 22 Li, Hanyu 22 Montijano, Juan Ignacio 22 Owren, Brynjulf 22 Schmitt, Bernhard A. 22 Tian, Hongjiong 21 Conte, Dajana 21 Jiang, Yaolin 21 Kressner, Daniel 21 Mao, Xuerong 21 Minion, Michael L. 21 Murua, Ander 21 Sanz-Serna, Jesús María 20 Benzi, Michele 20 Brunner, Hermann 20 Calvo, Manuel 20 Casas, Fernando 20 Garrappa, Roberto 20 Higham, Nicholas J. 20 Jentzen, Arnulf 20 Ju, Lili 20 Koch, Othmar 20 Liang, Zhaozheng 20 Sun, Haiwei 20 Viswanathan, Puthan Veedu 20 Wu, Yujiang 19 Debrabant, Kristian 19 Han, Xuli 19 Hu, Guangda 19 Ketcheson, David I. 19 Morigi, Serena 19 Ng, Michael Kwok-Po 19 Noschese, Silvia 19 Rández, Luis ...and 13,446 more Authors
all top 5

### Cited in 726 Journals

 1,258 Journal of Computational and Applied Mathematics 805 BIT 701 Applied Mathematics and Computation 687 Applied Numerical Mathematics 487 Numerical Algorithms 480 Journal of Computational Physics 415 Computers & Mathematics with Applications 404 Linear Algebra and its Applications 328 International Journal of Computer Mathematics 316 SIAM Journal on Scientific Computing 305 Journal of Scientific Computing 296 Numerische Mathematik 242 Mathematics of Computation 184 Computer Methods in Applied Mechanics and Engineering 140 SIAM Journal on Numerical Analysis 132 Journal of Mathematical Chemistry 130 SIAM Journal on Matrix Analysis and Applications 124 Numerical Linear Algebra with Applications 116 Computing 115 Mathematics and Computers in Simulation 113 Applied Mathematics Letters 113 Computational and Applied Mathematics 110 Advances in Computational Mathematics 106 Calcolo 102 Theoretical Computer Science 101 Journal of Mathematical Analysis and Applications 73 Information Processing Letters 68 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 60 Discrete Applied Mathematics 60 Computer Aided Geometric Design 60 Journal of Applied Mathematics and Computing 59 Communications in Nonlinear Science and Numerical Simulation 57 Algorithmica 54 Applied Mathematical Modelling 54 Foundations of Computational Mathematics 53 Mathematical Problems in Engineering 50 Journal of Approximation Theory 50 Engineering Analysis with Boundary Elements 49 Abstract and Applied Analysis 48 Numerical Functional Analysis and Optimization 48 Advances in Difference Equations 45 Computers and Fluids 45 Chaos, Solitons and Fractals 43 Journal of Complexity 43 Japan Journal of Industrial and Applied Mathematics 43 Computational Geometry 42 Numerical Methods for Partial Differential Equations 42 Mathematical and Computer Modelling 41 ETNA. Electronic Transactions on Numerical Analysis 40 International Journal for Numerical Methods in Engineering 40 Journal of Global Optimization 40 Computational Optimization and Applications 39 Computer Physics Communications 35 East Asian Journal on Applied Mathematics 34 Journal of Optimization Theory and Applications 33 Physica D 32 Linear and Multilinear Algebra 32 Computational Mechanics 32 Mathematical Programming. Series A. Series B 32 Communications in Computational Physics 29 Optimization Methods & Software 28 Discrete & Computational Geometry 28 Journal of Difference Equations and Applications 28 Journal of Applied Mathematics 27 Inverse Problems 26 Information Sciences 26 International Journal of Computational Geometry & Applications 26 Journal of Mathematical Imaging and Vision 26 Inverse Problems in Science and Engineering 25 Computational Mathematics and Mathematical Physics 25 Computational Statistics and Data Analysis 25 Discrete and Continuous Dynamical Systems. Series B 24 Mediterranean Journal of Mathematics 24 International Journal of Applied and Computational Mathematics 23 Discrete Mathematics 23 Journal of Integral Equations and Applications 23 SIAM Review 23 Computational Methods in Applied Mathematics 23 International Journal of Computational Methods 23 Advances in Applied Mathematics and Mechanics 23 S$$\vec{\text{e}}$$MA Journal 22 SIAM/ASA Journal on Uncertainty Quantification 21 Artificial Intelligence 21 Mathematical Methods in the Applied Sciences 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 Communications on Applied Mathematics and Computation 20 Applicable Analysis 20 Journal of Computer and System Sciences 20 Journal of Symbolic Computation 20 European Journal of Operational Research 20 Fractional Calculus & Applied Analysis 20 Science China. Mathematics 19 Automatica 19 Discrete and Continuous Dynamical Systems 19 Multibody System Dynamics 18 Journal of Fluid Mechanics 18 SIAM Journal on Optimization 18 Mathematical Modelling and Analysis 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Acta Applicandae Mathematicae ...and 626 more Journals
all top 5

### Cited in 61 Fields

 10,390 Numerical analysis (65-XX) 2,226 Partial differential equations (35-XX) 1,934 Ordinary differential equations (34-XX) 1,091 Computer science (68-XX) 1,037 Linear and multilinear algebra; matrix theory (15-XX) 871 Approximations and expansions (41-XX) 829 Fluid mechanics (76-XX) 719 Probability theory and stochastic processes (60-XX) 630 Operations research, mathematical programming (90-XX) 479 Integral equations (45-XX) 420 Dynamical systems and ergodic theory (37-XX) 365 Operator theory (47-XX) 362 Mechanics of deformable solids (74-XX) 306 Combinatorics (05-XX) 286 Systems theory; control (93-XX) 272 Biology and other natural sciences (92-XX) 267 Real functions (26-XX) 256 Calculus of variations and optimal control; optimization (49-XX) 241 Optics, electromagnetic theory (78-XX) 235 Information and communication theory, circuits (94-XX) 221 Statistics (62-XX) 215 Mechanics of particles and systems (70-XX) 178 Quantum theory (81-XX) 152 Harmonic analysis on Euclidean spaces (42-XX) 147 Special functions (33-XX) 145 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 139 Statistical mechanics, structure of matter (82-XX) 138 Functions of a complex variable (30-XX) 96 Convex and discrete geometry (52-XX) 92 Geophysics (86-XX) 90 Classical thermodynamics, heat transfer (80-XX) 82 Number theory (11-XX) 68 Integral transforms, operational calculus (44-XX) 65 Difference and functional equations (39-XX) 59 Measure and integration (28-XX) 55 Field theory and polynomials (12-XX) 54 Functional analysis (46-XX) 49 Differential geometry (53-XX) 35 Global analysis, analysis on manifolds (58-XX) 31 Topological groups, Lie groups (22-XX) 28 Algebraic geometry (14-XX) 27 History and biography (01-XX) 27 Mathematical logic and foundations (03-XX) 25 Potential theory (31-XX) 25 Sequences, series, summability (40-XX) 23 General and overarching topics; collections (00-XX) 23 Commutative algebra (13-XX) 19 Geometry (51-XX) 18 Nonassociative rings and algebras (17-XX) 17 Associative rings and algebras (16-XX) 14 Astronomy and astrophysics (85-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 10 General topology (54-XX) 9 Relativity and gravitational theory (83-XX) 8 Mathematics education (97-XX) 7 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 3 Abstract harmonic analysis (43-XX) 3 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX)