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Solving Elliptic Problems Using ELLPACK

  • Book
  • © 1985

Overview

Authors:
  1. John R. Rice

    1. Department of Computer Science, Purdue University, West Lafayette, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Ronald F. Boisvert

    1. Scientific Computing Division, National Bureau of Standards, Gaithersburg, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-x
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  2. The Ellpack System

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • John R. Rice, Ronald F. Boisvert
      Pages 3-24

    3. The ELLPACK Language

      • John R. Rice, Ronald F. Boisvert
      Pages 25-47

    4. Examples

      • John R. Rice, Ronald F. Boisvert
      Pages 49-59

    5. Advanced ELLPACK Features

      • John R. Rice, Ronald F. Boisvert
      Pages 61-86

    6. Extending ELLPACK to Nonstandard Problems

      • John R. Rice, Ronald F. Boisvert
      Pages 87-135

  3. The Ellpack Modules

    1. Front Matter

      Pages 137-137
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    2. The ELLPACK Modules

      • John R. Rice, Ronald F. Boisvert
      Pages 139-235

    3. ITPACK Solution Modules

      • David R. Kincaid, Thomas C. Oppe, John R. Respes, David M. Young
      Pages 237-258

  4. Performance Evaluation

    1. Front Matter

      Pages 259-259
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    2. Performance and its Evaluation

      • John R. Rice, Ronald F. Boisvert
      Pages 261-264

    3. The Model Problems

      • John R. Rice, Ronald F. Boisvert
      Pages 265-268

    4. Performance of Discretization Modules

      • John R. Rice, Ronald F. Boisvert
      Pages 269-294

    5. Performance of Solution Modules

      • John R. Rice, Ronald F. Boisvert
      Pages 295-307

  5. Contributor’s Guide

    1. Front Matter

      Pages 309-309
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    2. Software Parts for Elliptic Problems

      • John R. Rice, Ronald F. Boisvert
      Pages 311-318

    3. Interface Specifications

      • John R. Rice, Ronald F. Boisvert
      Pages 319-342

    4. Module Interface Access

      • John R. Rice, Ronald F. Boisvert
      Pages 343-346

    5. Programming Standards

      • John R. Rice, Ronald F. Boisvert
      Pages 347-356
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Computer Science, Purdue University, West Lafayette, USA

    John R. Rice

  • Scientific Computing Division, National Bureau of Standards, Gaithersburg, USA

    Ronald F. Boisvert

Bibliographic Information

  • Book Title: Solving Elliptic Problems Using ELLPACK

  • Authors: John R. Rice, Ronald F. Boisvert

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-5018-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1985

  • Softcover ISBN: 978-1-4612-9528-0Published: 22 September 2011

  • eBook ISBN: 978-1-4612-5018-0Published: 06 December 2012

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 1

  • Number of Pages: 497

  • Topics: Numerical Analysis

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