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Time-dependent Partial Differential Equations and Their Numerical Solution by Hedwig Ulmer Busenhart
Time-dependent Partial Differential Equations and Their Numerical Solution by Hedwig Ulmer Busenhart
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Time-dependent Partial Differential Equations and Their Numerical Solution

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Description

In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems.
Release date NZ
April 1st, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
VIII, 82 p.
Pages
82
Dimensions
155x235x4
ISBN-13
9783764361259
Product ID
5266397

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