Elliptic Problem Solvers

✍ Scribed by Schultz

• Publisher: Elsevier Inc, Academic Press
• Year: 1981
• Tongue: English
• Leaves: 427
• Series: Vol 1
• Category: Library

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-xi
Preface, Page xiii
A MULTI-LEVEL ITERATIVE METHOD FOR NONLINEAR ELLIPTIC EQUATIONS, Pages 1-16, Randolph E. Bank
SOLVING ELLIPTIC PROBLEMS: 1930–1980, Pages 17-38, Garrett Birkhoff
MULTIGRID SOLVERS ON PARALLEL COMPUTERS, Pages 39-83, Achi Brandt
IMPLEMENTING TECHNIQUES FOR ELLIPTIC PROBLEMS ON VECTOR PROCESSORS, Pages 85-98, B.L. Buzbee
ON SOME TRENDS IN ELLIPTIC PROBLEM SOLVERS, Pages 99-114, S.C. EISENSTAT, M.H. SCHULTZ
CO-ENERGY METHODS FOR ELLIPTIC FLOW AND RELATED PROBLEMS, Pages 115-134, R.A. Nicolaides
ELLPACK: PROGRESS AND PLANS, Pages 135-162, John R. Rice
THE ITPACK PACKAGE FOR LARGE SPARSE LINEAR SYSTEMS, Pages 163-185, David M. Young, David R. Kincaid
EFFICIENT FORTRAN SUBPROGRAMS FOR THE SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, Pages 187-190, John C. Adams, Paul N. Swarztrauber, Roland A. Sweet
ITERATIVE METHODS FOR FINITE ELEMENT EQUATIONS, Pages 191-195, O. Axelsson
PREDICTOR-CORRECTOR METHODS FOR THE SOLUTION OF TIME-DEPENDENT PARABOLIC PROBLEMS ON PARALLEL PROCESSORS, Pages 197-201, Marsha Berger, Joe Oliger, Garry Rodrigue
EFFICIENT SOLUTION OF THE BIHARMONIC EQUATION, Pages 203-217, Petter Bjørstad
ATTAINABLE ACCURACY OF COMPACT DISCRETIZATIONS OF THE POISSON EQUATION, Pages 219-223, Ronald F. Boisvert
THE CONCEPT OF RIGIDITY AND ITS IMPLEMENTATION, Pages 225-229, Alain Bossavit
THEOREMS OF STEIN-ROSENBERG TYPE II. OPTIMAL PATHS OF RELAXATION IN THE COMPLEX PLANE, Pages 231-240, John J. Buoni, Richard S. Varga
SPARSE VECTORIZED DIRECT SOLUTION OF ELLIPTIC PROBLEMS, Pages 241-245, D.A. Calahan
MULTI-GRID AND ICCG FOR PROBLEMS WITH INTERFACES, Pages 247-253, J.E. Dendy Jr., J.M. Hyman
AN AD HOC SOR METHOD, Pages 255-259, Louis W. Ehrlich
ON PRECONDITIONED ITERATIVE METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, Pages 261-269, David J. Evans
BLOCK RELAXATION STRATEGIES, Pages 271-275, Vance Faber
ON THE NUMERICAL SOLUTION OF NONLINEAR ELLIPTIC PDEs ARISING FROM SEMICONDUCTOR DEVICE MODELING, Pages 277-284, Wolfgang Fichtner, Donald J. Rose
NON-STANDARD MULTIGRID TECHNIQUES USING CHECKERED RELAXATION AND INTERMEDIATE GRIDS, Pages 285-300, Hartmut Foerster, Klaus Stüben, Ulrich Trottenberg
SOME EXPERIMENTS IN SOLVING STIFF OSCILLATORY ORDINARY DIFFERENTIAL EQUATIONS, Pages 301-305, Patrick W. Gaffney
A NUMERICAL METHOD FOR SOLVING ELLIPTIC BOUNDARY VALUE PROBLEMS IN UNBOUNDED DOMAINS, Pages 307-313, Charles I. Goldstein
APPLICATIONS OF TRANSFINITE (“BLENDING-FUNCTION”) INTERPOLATION TO THE APPROXIMATE SOLUTION OF ELLIPTIC PROBLEMS, Pages 315-337, William J. Gordon, Sandra J. Kelly
APPLICATION OF A PARALLEL PROCESSOR TO THE SOLUTION OF FINITE DIFFERENCE PROBLEMS, Pages 339-344, David J. Hunt, Stephen J. Webb, Alan Wilson
VECTOR ALGORITHMS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE JACOBI METHOD, Pages 345-351, Olin G. Johnson, George Paul
ADAPTING ITERATIVE ALGORITHMS DEVELOPED FOR SYMMETRIC SYSTEMS TO NONSYMMETRIC SYSTEMS, Pages 353-359, David R. Kincaid, David M. Young
COMPARISON OF METHODS OF SOLUTION OF THE FINITE ELEMENT EQUATIONS FOR THE LARGE DISPLACEMENT ANALYSIS OF ARCHES, Pages 361-367, Lois Mansfield
MESH GENERATION BY CONFORMAL AND QUASICONFORMAL MAPPINGS, Pages 369-373, C.W. Mastin, J.F. Thompson
BLOCK ITERATIVE METHODS, Pages 375-382, Seymour V. Parter
A MESH - PARAMETER - CONTINUATION METHOD, Pages 383-390, S.J. Polak, A. Wachters, Th. Beelen, P.W. Hemker
CAPACITANCE MATRIX METHODS - A BRIEF SURVEY, Pages 391-398, Wlodzimierz Proskurowski
GEM SOLUTIONS OF ELLIPTIC AND MIXED PROBLEMS WITH NON-SEPARABLE 5- AND 9-POINT OPERATORS, Pages 399-403, Patrick J. Roache
A PARALLEL BLOCK STIEFEL METHOD FOR SOLVING POSITIVE DEFINITE SYSTEMS, Pages 405-411, Y. Saad, A. Sameh
Numerical Solution of Coupled Systems of Partial Differential Equations in One Spatial Variable and Time, Pages 413-417, N.L. Schryer
ON THE CHOICE OF DISCRETIZATION FOR SOLVING P.D.E.'S ON A MULTI-PROCESSOR, Pages 419-422, L. Ridgway Scott
A SOFTWARE PACKAGE FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, Pages 423-427, Vincent G. Sigillito
AN EMPIRICAL INVESTIGATION OF METHODS FOR NONSYMMETRIC LINEAR SYSTEMS, Pages 429-434, Andrew H. Sherman
SEMICONDUCTOR DEVICE SIMULATION, Pages 435-439, C.L. Wilson, J.L. Blue
Index, Pages 441-444