The Numerical Method of Lines

The Numerical Method of Lines

Integration of Partial Differential Equations

1st Edition - June 28, 1991

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  • Author: William Schiesser
  • eBook ISBN: 9780128015513

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This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."


Computer scientists, engineers, and graduate-level students in those fields.

Table of Contents

  • What Is the Numerical Method of Lines? Some Applications of the Numerical Method of Lines. Spatial Differentiation. Initial-Value Integration. Stability of Numerical Method of Lines Approximations. Additional Applications: Multidimensional PDEs and Adaptive Grids. Appendix A: The Laplacian Operator in Various Coordinate Systems. Appendix B: Spatial Differentiation Routines. Appendix C: Library of ODE and ODE/PDE Applications. Index.

Product details

  • No. of pages: 326
  • Language: English
  • Copyright: © Academic Press 1991
  • Published: June 28, 1991
  • Imprint: Academic Press
  • eBook ISBN: 9780128015513

About the Author

William Schiesser

The R routines are available from Queries about the routines can be directed to W.E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 14 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations and government agencies.

Affiliations and Expertise

Lehigh University

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