Solving Elliptic Problems Using ELLPACK

  • John R. Rice
  • Ronald F. Boisvert

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 2)

Table of contents

  1. Front Matter
    Pages i-x
  2. The Ellpack System

    1. Front Matter
      Pages 1-1
    2. John R. Rice, Ronald F. Boisvert
      Pages 3-24
    3. John R. Rice, Ronald F. Boisvert
      Pages 25-47
    4. John R. Rice, Ronald F. Boisvert
      Pages 49-59
    5. John R. Rice, Ronald F. Boisvert
      Pages 61-86
    6. John R. Rice, Ronald F. Boisvert
      Pages 87-135
  3. The Ellpack Modules

    1. Front Matter
      Pages 137-137
    2. John R. Rice, Ronald F. Boisvert
      Pages 139-235
    3. David R. Kincaid, Thomas C. Oppe, John R. Respes, David M. Young
      Pages 237-258
  4. Performance Evaluation

    1. Front Matter
      Pages 259-259
    2. John R. Rice, Ronald F. Boisvert
      Pages 261-264
    3. John R. Rice, Ronald F. Boisvert
      Pages 265-268
    4. John R. Rice, Ronald F. Boisvert
      Pages 269-294
    5. John R. Rice, Ronald F. Boisvert
      Pages 295-307
  5. Contributor’s Guide

    1. Front Matter
      Pages 309-309
    2. John R. Rice, Ronald F. Boisvert
      Pages 311-318
    3. John R. Rice, Ronald F. Boisvert
      Pages 319-342
    4. John R. Rice, Ronald F. Boisvert
      Pages 343-346
    5. John R. Rice, Ronald F. Boisvert
      Pages 347-356

About this book

Introduction

ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far advanced compared to the Fortran library approach in common current use. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems. Others will be able to solve really hard problems by digging a little deeper into ELLP ACK. ELLP ACK is a research tool for the study of numerical methods for solving elliptic problems. Its original purpose was for the evaluation and comparison of numerical software for elliptic problems. Simple examples of this use are given in Chapters 9-11. The general conclusion is that there are many ways to solve most elliptic problems, there are large differences in their efficiency and the most common ways are often less efficient, sometimes dramatically so.

Keywords

Helmholtz equation differential equation partial differential equation

Authors and affiliations

  • John R. Rice
    • 1
  • Ronald F. Boisvert
    • 2
  1. 1.Department of Computer SciencePurdue UniversityWest LafayetteUSA
  2. 2.Scientific Computing DivisionNational Bureau of StandardsGaithersburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5018-0
  • Copyright Information Springer-Verlag New York 1985
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9528-0
  • Online ISBN 978-1-4612-5018-0
  • Series Print ISSN 0179-3632
  • About this book
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