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