On a wavelet-based method for the numerical simulation of wave propagation
DOI10.1006/jcph.2002.7202zbMath1015.65045OpenAlexW2117482381WikidataQ60012102 ScholiaQ60012102MaRDI QIDQ1868609
Tae-Kyung Hong, B. L. N. Kennett
Publication date: 28 April 2003
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ed2e0887cfcdb8f2ccf14fe4e406803fd9a7629e
waveletsnumerical resultsgrid generationwave equationsacoustic wave equationelastic wave equationtopographyoperator representationsemigroup formulationcomplex media
Nonlinear waves in solid mechanics (74J30) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for wavelets (65T60) Hydro- and aero-acoustics (76Q05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive wavelet-vaguelette algorithm for the solution of PDEs
- Non-reflecting boundary conditions
- Time-dependent boundary conditions for hyperbolic systems. II
- Absorbing boundaries for wave propagation problems
- Symmetric iterative interpolation processes
- Two techniques for the absorption of elastic waves using an artificial transition layer
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Multiscale computation with interpolating wavelets
- On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
- Interpolation through an iterative scheme
- On a wavelet-based method for the numerical simulation of wave propagation
- On the spline-based wavelet differentiation matrix
- Wavelets and the numerical solution of partial differential equations
- On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods
- Ten Lectures on Wavelets
- The discrete wavelet transform: wedding the a trous and Mallat algorithms
- On the Representation of Operators in Bases of Compactly Supported Wavelets
- Formal improvements in the solution of the wavelet-transformed Poisson and diffusion equations
- Solving Hyperbolic PDEs Using Interpolating Wavelets
- Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>