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Designing Object-Oriented Numerical Libraries

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Guide to Scientific Computing in C++

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

Having developed classes that underpin linear algebra operations in an earlier chapter, we now demonstrate how to construct object-oriented libraries for scientific computing applications that utilise the functionality of these classes. We use the specific example of developing a library that uses the finite difference method to solve boundary value, second order, constant coefficient differential equations. We begin by considering ordinary differential equations. We state the theory that underpins the finite difference method for these equations, and then describe the classes that we will develop to allow this theory to be applied. We then briefly discuss how to develop a library for the solution of Poisson’s equation, an elliptic partial differential equation, in two spatial dimensions.

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References

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Authors and Affiliations

  1. Department of Computer Science, University of Oxford, Oxford, UK

    Dr. Joe Pitt-Francis & Dr. Jonathan Whiteley

Authors
  1. Dr. Joe Pitt-Francis
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  2. Dr. Jonathan Whiteley
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Correspondence to Jonathan Whiteley .

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© 2012 Springer-Verlag London Limited

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Pitt-Francis, J., Whiteley, J. (2012). Designing Object-Oriented Numerical Libraries. In: Guide to Scientific Computing in C++. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-2736-9_12

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  • DOI: https://doi.org/10.1007/978-1-4471-2736-9_12

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2735-2

  • Online ISBN: 978-1-4471-2736-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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