Partial Differential Equations Ma 3132 Lecture Notes

Numerical Solution of Partial Differential Equations Ma Lecture Notes

Linear Elliptic Equations of Second Order

3 4 CONTENTS Preface These lecture notes are intented as an introduction to linear second order elliptic partial differential equations. It can be considered as a continuation of a chapter on elliptic equations of the lecture notes [17] on partial differential equations. In [17] we focused our attention mainly on explicit solutions for standard problems for elliptic, parabolic and hyperbolic eq...

Lecture Notes on Elliptic Partial Differential Equations

A Posteriori Error Estimation for Elliptic Partial Differential Equations

These lecture notes comprise the talks of the author on “A posteriori error estimates for modelling errors” and on “A posteriori error estimates for highly indefinite problems” given at the Zürich Summerschool 2012. 1 Lecture 1: Combined A Posteriori Modeling Discretization Error Estimate for Elliptic Problems with Complicated Interfaces Remark. This part of the lecture notes is a slightly exte...

Numerical Solution of Partial Differential Equations

Preface These lecture notes are intended to supplement a one-semester graduate-level engineering course at The George Washington University in numerical methods for the solution of partial differential equations. Both finite difference and finite element methods are included. The main prerequisite is a standard undergraduate calculus sequence including ordinary differential equations. In genera...