Numerical Methods in Scientific Computing

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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Place / Publishing House:[Place of publication not identified] : TU Delft Open, 2023.
©2023.
Year of Publication:2023
Language:English
Physical Description:1 online resource
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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