Chapter 6. A User's Guide to the Laplace Transform

  1. Richard Ghez

Published Online: 28 JAN 2005

DOI: 10.1002/3527602836.ch6

A Primer of Diffusion Problems

A Primer of Diffusion Problems

How to Cite

Ghez, R. (1988) A User's Guide to the Laplace Transform, in A Primer of Diffusion Problems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602836.ch6

Author Information

  1. IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 20 JUL 1988

ISBN Information

Print ISBN: 9780471846925

Online ISBN: 9783527602834

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Keywords:

  • Laplace transform;
  • elementary properties;
  • convolution theorem;
  • asymptotics

Summary

This chapter contains sections titled:

  • Motivation, Definition, and Some Examples

    • Exponentials

    • Heaviside 's step function

  • Elementary Properties and Further Examples

    • A. Linearity

    • B. Change of scale

    • C. Translations

    • D. Differentiation

    • E. Integration

    • Dirac 's delta function

  • Laplace Transforms in p1/2

  • A Sample Calculation

  • The Convolution Theorem

  • A Few Words on Asymptotics

  • References