Numerical Solution Of Partial Differential Equations: Proceedings Of The Nato Advanced Study Institute Held At Kjeller, Norway, August 20–24, 1973 Proceedings Of The Nato Advanced Study Institute, Kjeller, Norway, August 20-25, 1973

This book contains the transcripts of the invited lectures presented at the NATO Advanced Study Institute on "Numerical Solution of Partial Differential Equations". The Study Institute was held at the Netherlands-Norwegian Reactor School, Institutt for Atomenergi, Kjeller, Norway, 20th - 24th August 1973. The members of the Scientific Advisory Committee were: A. R. Mitchell, University of Dundee, Scotland I. HoI and, University of Trondheim, Norway T. Havie, UniverSity of Trondheim, Norway The members of the Organizing Committee were: E. Andersen, Institutt for Atomenergi, Kjeller, Norway G. E. Fladmark, Institutt for Atomenergi, Kjeller, Norway J. G. Gram, Institutt for Atomenergi, Kjeller, Norway The aim of the Study Institute was to bring together mathe­ maticians and engineers working with numerical methods. The papers presented covered both theory and application of methods for solution of partial differential equations. The topics were finite element methods, finite difference methods, and methods for solution of linear and nonlinear systems of equations with application to continuum mechanics and heat transfer. The total number of participants was 68. Their names are given at the end of the book. The publication of these proceed­ ings could be realized through the kind cooperation of the lec­ turers. The Advanced Study Institute was financially sponsored by NATO Scientific Affairs Division. The Organizing Committee wishes to express its gratitude for this support. Valuable assistance was given by Mrs. G. This book contains the transcripts of the invited lectures presented at the NATO Advanced Study Institute on "Numerical Solution of Partial Differential Equations". The Study Institute was held at the Netherlands-Norwegian Reactor School, Institutt for Atomenergi, Kjeller, Norway, 20th - 24th August 1973. The members of the Scientific Advisory Committee were: A.R. Mitchell, University of Dundee, Scotland I. HoI and, University of Trondheim, Norway T. Havie, UniverSity of Trondheim, Norway The members of the Organizing Committee were: E. Andersen, Institutt for Atomenergi, Kjeller, Norway G.E. Fladmark, Institutt for Atomenergi, Kjeller, Norway J.G. Gram, Institutt for Atomenergi, Kjeller, Norway The aim of the Study Institute was to bring together matheƯ maticians and engineers working with numerical methods. The papers presented covered both theory and application of methods for solution of partial differential equations. The topics were finite element methods, finite difference methods, and methods for solution of linear and nonlinear systems of equations with application to continuum mechanics and heat transfer. The total number of participants was 68. Their names are given at the end of the book. The publication of these proceedƯ ings could be realized through the kind cooperation of the lecƯ turers. The Advanced Study Institute was financially sponsored by NATO Scientific Affairs Division. The Organizing Committee wishes to express its gratitude for this support. Valuable assistance was given by Mrs. G Front Matter....Pages I-VII Methods for Solution of Partial Differential Equations....Pages 1-16 Variational Principles — A Survey....Pages 17-33 Solution of Linear Systems of Equations....Pages 35-54 Solution of Nonlinear Systems of Equations....Pages 55-105 Element Types and Base Functions....Pages 107-150 Quadratic Interpolating Splines: Theory and Applications....Pages 151-172 Some Linear and Non-Linear Problems in Fluid Mechanics FEM Formulation....Pages 173-194 Application of Finite Element Methods to Stress Analysis....Pages 195-221 Some Finite Difference Methods for Solution of Heat Conduction Problems....Pages 223-240 Finite Element Computer Progtams for Heat Conduction Problems....Pages 241-266 Back Matter....Pages 267-271