A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain

Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems

Journal of Scientific Computing

An adaptive multilevel wavelet collocation method for elliptic problems

Journal of Computational Physics

Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations

Journal of Computational Physics

An efficient numerical quadrature for the calculation of the potential energy of wavefunctions expressed in the Daubechies wavelet basis

Journal of Computational Physics

Non-separable splines and numerical computation of evolution equations by the Galerkin methods

Journal of Computational and Applied Mathematics

An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations

Journal of Computational Physics

Simulating 2D Waves Propagation in Elastic Solid Media Using Wavelet Based Adaptive Method

Journal of Scientific Computing

High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions

Journal of Computational Physics

Multi-scale Daubechies wavelet-based method for 2-D elastic problems

Finite Elements in Analysis and Design

A dynamically adaptive wavelet approach to stochastic computations based on polynomial chaos - capturing all scales of random modes on independent grids

Journal of Computational Physics

Adaptive wavelet collocation methods for image segmentation using TV---Allen---Cahn type models

Advances in Computational Mathematics

Review: Wavelet-based numerical analysis: A review and classification

Finite Elements in Analysis and Design

A characteristic based volume penalization method for general evolution problems applied to compressible viscous flows

Journal of Computational Physics