Purpose The purpose of this work is to present the implementation of weighted essentially
non-oscillatory (WENO) wavelet methods for solving multiphase flow problems. The …

Finite element and finite difference discretizations for evolutionary convection–diffusion–
reaction equations in two and three dimensions are studied which give solutions without or …

In this work, we propose a finite-difference scheme to approximate the solutions of a
generalization of the classical, one-dimensional, Newell–Whitehead–Segel equation from …

The generic structure of solutions of initial value problems of hyperbolic-elliptic systems, also
called mixed systems, of conservation laws is not yet fully understood. One reason for the …

Purpose The current work aims to present a parallel code using the open multi-processing
(OpenMP) programming model for an adaptive multi-resolution high-order finite difference …

Title Goes Here Page 1 Splitting Wavelet Method for Solving 2D Conservation Laws Alice de
Jesus Kozakevicius^and Alex A. Schmidt^ Departamento de Matemdtica, CCNE, Universidade …

The current work presents a WENO wavelet adaptive method for solving multiphase flow
problems. The grid adaptivity in each time step is obtained by the application of a …

The current work presents a parallel formulation using the MPI protocol for an adaptive high
order finite difference scheme to solve 2D conservation laws. Adaptivity is achieved at each …

We are interested in an adaptive grid method for hyperbolic equations. A multiresolution
analysis, based on a biorthogonal family of interpolating scaling functions and lifted …

The analysis of the double-diffusion model and H (div)-conforming method introduced in
[Bürger, Méndez, Ruiz-Baier, SINUM (2019), 57: 1318–1343] is extended to the time …