Elliptic Problem Solvers, II covers the proceedings of the Elliptic Problem Solvers Conference, held at the Naval Postgraduate School in Monterey, California from January 10 to 12, 1983. The book focuses on various aspects of the numerical solution of elliptic boundary value problems.
The selection first offers information on building elliptic problem solvers with ELLPACK; presentation and evolution of the club module; and a fourth order accurate fast direct method for the Helmholtz equation. The text then examines the ITPACK project, CMMPAK, solving elliptic problems on an array processor system, and parallel architectures for iterative methods on adaptive, block structured grids. Topics include adaptive solution algorithm, data structure, elliptic problem solvers, input data, and vector ITPACK.
The publication ponders on conjugate gradient preconditioners for vector and parallel processors; an algebra for systolic computation; and an incomplete-Cholesky factorization by a matrix partition algorithm. The book also tackles the numerical solution of a model equation near the onset of the Rayleigh-Benard instability; numerical methods for solving coupled semiconductor equations on a minicomputer; and analysis of nonlinear elliptic systems arising in reaction/diffusion modeling.
The selection is highly recommended for researchers interested in elliptic problem solvers.

?ContributorsPrefaceI Software Packages Building Elliptic Problem Solvers with ELLPACK* Presentation and Evolution of the Club Modulef: A Library of Computer Procedures for Finite Element Analysis A Fourth-Order Accurate Fast Direct Method for the Helmholtz Equation The (New) Yale Sparse Matrix Package The ITPACK Project: Past, Present, and Future CMMPAK-The Capacitance Matrix Software PackageII Vector and Parallel Processing Solving Elliptic Problems on an Array Processor System* Parallel Architectures for Iterative Methods on Adaptive, Block Structured Grids Highly Concurrent Algorithms for Solving Linear Systems of Equations Conjugate Gradient Preconditioners for Vector and Parallel Processors An Algebra for Systolic Computation An Incomplete-Cholesky Factorization by a Matrix Partition Algorithm A Fast Poisson Solver for Multiprocessors Systolic Arrays: High Performance Parallel Machines for Matrix ComputationIII Iterative Equation Solving A Survey of Recent Results on Iterative Methods for Solving Large Sparse Linear Systems* Numerical Algorithms for Indefinite Problems Preconditioned Conjugate Gradient Methods for the Helmholtz Equation Solving Elliptic Problems on Regions Partitioned into Substructures The Ad Hoc SOR Method: A Local Relaxation Scheme Iterative Methods for Non-Self-Adjoint Elliptic Problems Implicit Block Explicit Overrelaxation Schemes Dynamic Acceleration of Nonlinear Iterations Navier-Stokes Pressure Equation Iteration Accelerating Nonsymmetrizable Iterative MethodsIV Finite Element and Multigrid Methods Adaptive Finite Element Processes in Structural Mechanics* Finite Element Approximations to Compressible Flow Problems* Solving Elliptic Problems by Domain Decomposition Methods with Applications* Computing Added Mass Coefficients A Priori Local Grid Refinement in the Multigrid Method Abstract Multi-Grid with Applications to Elliptic Boundary Value Problems A New Ordering Scheme for the Hermite Bicubic Collocation Equations Solution Methods for the Finite Element Equations in Nonlinear Shell AnalysisV Advances in Modeling and Physical Applications Discretization and Multilevel Solution Techniques for Nonlinear Elliptic Systems* Analysis of Nonlinear Elliptic Systems Arising in Reaction/Diffusion Modeling* Numerical Methods for Solving Coupled Semiconductor Equations on a Minicomputer Numerical Solution of a Model Equation Near the Onset of the Rayleigh-Bénard Instability Approximation of a Nonsymmetric, Singularly Perturbed Problem Numerical Solution of a Confined Laminar Diffusion FlameIndex