An explicit exponential integrator based on Faber polynomials and its application to seismic wave modeling
DOI10.1007/s10915-023-02413-0arXiv2211.00084MaRDI QIDQ6178642
Martin Schreiber, Pedro S. Peixoto, Fernando V. Ravelo
Publication date: 16 January 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.00084
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Galactic and stellar structure (85A15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDEs in connection with astronomy and astrophysics (35Q85)
Cites Work
- Unnamed Item
- Unnamed Item
- A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
- Exponential time differencing for stiff systems
- A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations
- A perfectly matched layer for the absorption of electromagnetic waves
- A note on stability of pseudospectral methods for wave propagation
- Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
- Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
- Interpolating discrete advection--diffusion propagators at Leja sequences
- Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs
- KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
- On a continuum limit of discrete Schrödinger operators on square lattice
- Efficient adaptive step size control for exponential integrators
- Comparison of exponential integrators and traditional time integration schemes for the shallow water equations
- A reflectionless discrete perfectly matched layer
- A highly efficient time-space-domain optimized method with Lax-Wendroff type time discretization for the scalar wave equation
- Absorbing boundary conditions and geometric integration: a case study for the wave equation
- Solving seismic wave propagation in elastic media using the matrix exponential approach
- An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral
- THE COMPUTATION OF FUNCTIONS OF MATRICES BY TRUNCATED FABER SERIES
- Exponential integrators
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Algorithm 919
- Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
- A New Scaling and Squaring Algorithm for the Matrix Exponential
- Expokit
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- The Scaling and Squaring Method for the Matrix Exponential Revisited
- Efficient approximation of the exponential operator for discrete 2D advection–diffusion problems
- Time-Domain Simulations of the Nonlinear Maxwell Equations Using Operator-Exponential Methods
- Compact second-order time-domain perfectly matched layer formulation for elastic wave propagation in two dimensions
- Computational Science - ICCS 2004
- A Chebyshev Theorem for Ellipses in the Complex Plane
- Explicit Runge-Kutta methods for initial value problems with oscillating solutions