Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$ - MaRDI portal

On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$

From MaRDI portal
Publication:3545251

DOI10.1137/040617868zbMath1154.65320OpenAlexW2044815321MaRDI QIDQ3545251

Hillel Tal-Ezer

Publication date: 10 December 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040617868



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (31)

A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equationA study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functionsA framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integratorsFourth-order compact schemes for the numerical simulation of coupled Burgers' equationExponential Krylov time integration for modeling multi-frequency optical response with monochromatic sourcesError bounds and estimates for Krylov subspace approximations of Stieltjes matrix functionsA block Krylov subspace time-exact solution method for linear ordinary differential equation systemsA block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equationsNew, highly accurate propagator for the linear and nonlinear Schrödinger equationNumerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivativesA nested Schur complement solver with mesh-independent convergence for the time domain photonics modelingCoarse Grid Corrections in Krylov Subspace Evaluations of the Matrix ExponentialVery accurate time propagation of coupled Schrödinger equations for femto- and attosecond physics and chemistry, with C++ source codeRandomized Sketching for Krylov Approximations of Large-Scale Matrix FunctionsSemi-global approach for propagation of the time-dependent Schrödinger equation for time-dependent and nonlinear problemsKrylov Subspace Restarting for Matrix Laplace TransformsAN ESTIMATE OF APPROXIMATION OF A MATRIX-VALUED FUNCTION BY AN INTERPOLATION POLYNOMIALAPPROXIMATION OF THE LINEAR COMBINATION OF <i>φ</i>-FUNCTIONS USING THE BLOCK SHIFT-AND-INVERT KRYLOV SUBSPACE METHODImproved numerical solution of multi-asset option pricing problem: a localized RBF-FD approachAn accurate polynomial approximation of exponential integratorsA Comparison of Limited-memory Krylov Methods for Stieltjes Functions of Hermitian MatricesA scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equationsBlock Krylov subspace methods for approximating the linear combination of \(\varphi\)-functions arising in exponential integratorsKIOPS: a fast adaptive Krylov subspace solver for exponential integratorsIterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxationART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluationsAn accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matricesAn accurate approximation of exponential integrators for the Schrödinger equationKrylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modelingEfficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systemsA posteriori error estimates of Krylov subspace approximations to matrix functions


Uses Software



This page was built for publication: On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$