Nonlinear Partial Differential Equations. A Symposium on Methods of Solution

Content: Contributors, Page ii Front Matter, Page iii Copyright, Page iv List of Contributors, Pages v-vi Foreword, Pages vii-viii, W.F. AMES Preface, Page ix, W.F. AMES Generalized Similarity Analysis of Partial Differential Equations, Pages 1-17, ARTHUR G. HANSEN Vector Eigenfunction Expansions for the Growth of Taylor Vortices in the Flow between Rotating Cylinders, Pages 19-42, R.C. DI PRIMA New Methods for the Solution of Partial Differential Equations, Pages 43-54, RICHARD BELLMAN, ROBERT KALABA Ad hoc Exact Techniques for Nonlinear Partial Differential Equations, Pages 55-72, W.F. AMES The Lubrication Approximation Applied to Non-Newtonian Flow Problems: A Perturbation Approach, Pages 73-107, J.R.A. PEARSON The Computation of Compressible Boundary-Layer Flow, Pages 109-124, I. FLÜGGE-LOTZ Integral Equations for Nonlinear Problems in Partial Differential Equations, Pages 125-140, DONALD H. HYERS Electrical Problems Modeled by Nonlinear Partial Differential Equations, Pages 141-160, W.J. CUNNINGHAM Difference Methods and Soft Solutions, Pages 161-170, M.H. PROTTER Numerical Solution of the Nonlinear Equations for Two-Phase Flow through Porous Media, Pages 171-191, D.W. PEACEMAN An Extrapolated Crank-Nicolson Difference Scheme for Quasilinear Parabolic Equations, Pages 193-201, MILTON LEES Heat Transfer to the Endwall of a Shocktube A Variational Analysis, Pages 203-222, JOHN R. FERRON, KAZUTOSHI FUJIMURA A Synergetic Approach to Problems of Nonlinear Dispersive Wave Propagation and Interaction, Pages 223-258, NORMAN J. ZABUSKY Uniformization of Asymptotic Expansions, Pages 259-277, GUIDO SANDRI High Order Accurate Difference Methods in Hydrodynamics, Pages 279-290, SAMUEL Z. BURSTEIN Nonlinear Problems in the Dynamics of Thin Shells, Pages 291-307, WILLIAM A. NASH Index, Pages 309-316 Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications