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Numerical Methods in Scientific Computing

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This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process...

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Bibliographic Details
Main Authors: van Kan, Jos (Author), Segal, Guus (Author), Vermolen, Fred (Author)
Format: Electronic eBook
Language:English
Published: [Place of publication not identified] TU Delft Open 2023.
Series:Open textbook library.
Subjects:
Mathematics > Textbooks
Applied mathematics > Textbooks
Online Access:Access online version
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Table of Contents:
  • Review of some basic mathematical concept
  • A crash course in PDE’s
  • Finite difference methods
  • Finite volume methods
  • Minimization problems in physics
  • The numerical solution of minimization problems
  • The weak formulation and Galerkin’s method
  • Extension of the FEM
  • Solution of large systems of equations
  • The heat- or diffusion equation
  • The wave equation
  • The transport equation
  • Moving boundary problems

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