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  3. Numerical Solution of Elliptic and Parabolic Partial Differential Equations
  • Cited by 23
Publisher:
Cambridge University Press
Online publication date:
May 2013
Print publication year:
2013
Online ISBN:
9781139025508
DOI:
https://doi.org/10.1017/CBO9781139025508
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Numerical Analysis and Computational Science
Information

Book description

For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).

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