Efficient computation of the sinc matrix function for the integration of second-order differential equations

Approximation by rational functions (41A20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Matrix exponential and similar functions of matrices (15A16)

Cites Work

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Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
The scaling and modified squaring method for matrix functions related to the exponential
A Gautschi-type method for oscillatory second-order differential equations
The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations
Numerical integration of ordinary differential equations based on trigonometric polynomials
Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection
Exponential integrators
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
Solving Ordinary Differential Equations I
On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$
On the Pade Table of cosz
Single Step Galerkin Approximations for Parabolic Problems
On Krylov Subspace Approximations to the Matrix Exponential Operator
Computing Function of Large Matrices by a Preconditioned Rational Krylov Method
The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
Is Gauss Quadrature Better than Clenshaw–Curtis?
On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators
Krylov subspace residual and restarting for certain second order differential equations

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