# Accession Number:

## ADA110966

# Title:

## Lectures on the Numerical Solution of Partial Differential Equations.

# Descriptive Note:

## Lecture notes no. 20,

# Corporate Author:

## MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1981-12-01

# Pagination or Media Count:

## 604.0

# Abstract:

Contents Adapting Courant-Friedrichs-Levy to the 1980s Parametrization Methods for Approximation of Solutions of Elliptic Boundary Value Problems Two Mixed Finite Element Methods for the Simply Supported Plat Problem Approximation of Non-linear Problems Two-dimensional Approximations of Three-dimensional Models in Nonlinear Plate Theory Changing Meshes in Time-dependent Problems Alternating-direction Galerkin Methods for Parabolic Hyperbolic and Sobolev Partial Differential Equations Galerkin Methods for Miscible Displacement Problems with Point Sources and Sinks-Unit Mobility Ratio Case Overtaking of Shock Waves in Steady Two-dimensional Supersonic Flows Homogenization, Convex Analysis, and the Geometry Optimization of Engineering Structures Stability and Error Bounds for a Fractional Step Scheme to Compute Weak Solutions of the Nonlinear Waterhammer Problem Schauder Estimates for Finite Element Approximations of Second Order Elliptic Boundary Value Problems Analysis of Some Contact Problems in Nonlinear Elasticity Single Step Methods for Linear Differential Equations in Banach Spaces The Quasi-optimality in the Maximum Norm of the H1 Projection into Piecewise Linear Functions in the Plane a Complete Proof Second lecture A Brief Survey of Parabolic Smoothing and How It Affects a Numerical Solution Finite Differences and Finite Elements Third lecture Integral Equation Methods for Mixed Boundary Value Problems Second lecture.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics