Found 30 Documents (Results 1–30)
Krylov subspace residual and restarting for certain second order differential equations. (English) Zbl 1537.65047
Speeding up Krylov subspace methods for computing \(\boldsymbol{{f}(A){b}}\) via randomization. (English) Zbl 07805908
Inexact rational Krylov subspace methods for approximating the action of functions of matrices. (English) Zbl 1534.65068
Randomized sketching for Krylov approximations of large-scale matrix functions. (English) Zbl 1520.65029
Coarse grid corrections in Krylov subspace evaluations of the matrix exponential. (English) Zbl 1517.65033
A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions. (English) Zbl 1542.65050
Reviewer: Abdollahi Farshid (Shiraz)
Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032
An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087
Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021).
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling. (English) Zbl 1524.65319
Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. (English) Zbl 1432.65053
ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. (English) Zbl 1427.65060
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. (English) Zbl 1434.65058
MSC:
65F60
KIOPS: a fast adaptive Krylov subspace solver for exponential integrators. (English) Zbl 1418.65074
J. Comput. Phys. 372, 236-255 (2018); corrigendum ibid. 441, Article ID 110443, 2 p. (2021).
Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources. (English) Zbl 1391.65124
A shifted block FOM algorithm with deflated restarting for matrix exponential computations. (English) Zbl 1382.65126
A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations. (English) Zbl 1375.65130
A combination of the fast multipole boundary element method and Krylov subspace recycling solvers. (English) Zbl 1403.65202
A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators. (English) Zbl 1338.65123
Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling. (English) Zbl 1322.65056
Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. (English) Zbl 1322.65095
A posteriori error estimates of Krylov subspace approximations to matrix functions. (English) Zbl 1331.65069
Reviewer: João R. Cardoso (Coimbra)
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. (English) Zbl 1368.65107
The restarted shift-and-invert Krylov method for matrix functions. (English) Zbl 1324.65079
Reviewer: Jurjen Duintjer Tebbens (Praha)
A block Krylov subspace time-exact solution method for linear ordinary differential equation systems. (English) Zbl 1313.65181
Reviewer: Jaroslav Hron (Praha)
Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. (English) Zbl 1292.65043
Reviewer: João R. Cardoso (Coimbra)
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