On the construction of restricted-denominator exponential W-methods

DOI10.1016/j.cam.2006.11.024zbMath1141.65058OpenAlexW2097420585MaRDI QIDQ2475400

Paolo Novati

Publication date: 11 March 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.11.024

zbMATH Keywords

stopping criterianumerical experimentsstiff problemssemi-discretizationArnoldi methodexponential integratorsKrylov subspace approximationstep-size controlW-methodsrestricted-denominator rational approximation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells ⋮ Rational Lanczos approximations to the matrix square root and related functions ⋮ A rational Krylov method for solving time-periodic differential equations

Uses Software

• Matlab
• SUNDIALS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• SUNDIALS
• Exponential time differencing for stiff systems
• Generalized integrating factor methods for stiff PDEs
• Order results for Rosenbrock type methods on classes of stiff equations
• Parallel `peer' two-step W-methods and their application to MOL-systems.
• RD-rational approximations of the matrix exponential
• Exponential Runge-Kutta methods for parabolic problems.
• Interpolating discrete advection--diffusion propagators at Leja sequences
• THE COMPUTATION OF FUNCTIONS OF MATRICES BY TRUNCATED FABER SERIES
• The MATLAB ODE Suite
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Restricted Padé Approximations to the Exponential Function
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Exponential Integrators for Large Systems of Differential Equations
• Preconditioning Lanczos Approximations to the Matrix Exponential
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

This page was built for publication: On the construction of restricted-denominator exponential W-methods