A nonlinear parabolic problem is solved by a linear approximation scheme using a nonstandard time discretization with a relaxation function. The relaxation function is determined by iterations.

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

This Research Topic is devoted to modeling, analysis, and approximation problems whose solutions exploit and explore the theory of partial differential equations.

The approximation theory developed in [11] is used to determine the piecewise polynomial approximability of solutions of elliptic problems on polygonal domains in R 2 and polyhedra in R 3. From these ...

Abstract. Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffusion problem are generated using a backward Euler method in time and an upwinded finite ...