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Published in:
Introduction to Computational Science Read chapter Read first chapter

2016 | OriginalPaper | Chapter

8. Solving Sets of Equations

Authors : Kevin Brewer, Cathy Bareiss

Published in: Concise Guide to Computing Foundations

Publisher: Springer International Publishing

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Abstract

After completing this module, a student should be able to:
  • Describe a boundary value problem.
  • Define Finite Difference, boundary condition, domain, iteration, convergence.
  • Describe the two most common boundary conditions.
  • Appreciate how numerical modeling software works.
  • Construct a simple numerical model using Microsoft Excel® to solve a Laplacian system.

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previous chapter Iterative Solutions
next chapter Procedures: Performance and Complexity
Literature
This module’s discussion was focused on the Finite Difference Method. Another approach is to use the more flexible (but mathematically more complex) Finite Element Method. The following resources may be a good starting point to further study.
• Akin, Application and implementation of finite element methods, Academic Press, 1982
• Celia MA, Gray WG (1992) Numerical methods for differential equations. Prentice Hall, New Jersey
• Desai and Abel (1972) Introduction to the finite element method. Van Nostrand Reinhold Company
• Kwon and Bang, The finite element method using MATLAB, CRC Press, 1997
• Wang HF, Anderson MP (1982) Introduction to groundwater modeling: finite difference and finite element methods. Freeman, New York
All Microsoft images used with permission from Microsoft
Metadata
Title
Solving Sets of Equations
Authors
Kevin Brewer
Cathy Bareiss
Copyright Year
2016
Book
Concise Guide to Computing Foundations

Print ISBN: 978-3-319-29952-5

Electronic ISBN: 978-3-319-29954-9

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-29954-9_8

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