Numerical solution of partial differential equations : theory, tools, and case studies : summer seminar series held at CSIR, Pretoria, February 8-10, 1982

Front Matter....Pages 1-12 Some Types of Partial Differential Operators and Associated Well-Posed Problems....Pages 13-51 Basic Principles of Discretization Methods....Pages 52-75 Analysis of Convergence of Numerical Methods....Pages 76-133 Basis Functions in the Finite Element Method....Pages 134-166 Time Discretization in Parabolic Equations....Pages 167-184 Parabolic Equations with Dominating Convection Terms....Pages 185-203 Solution of Large Systems of Linear Equations....Pages 204-224 Finite-Element Mesh Partitioning for Time Integration of Transient Problems....Pages 225-245 Numerical Weather Prediction....Pages 246-285 Conservation Laws in Fluid Dynamics and the Enforcement of their Preservation in Numerical Discretizations....Pages 286-341