Time-Dependant Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics. ETH Zürich)
by Heinz-Otto Kreiss and Hedwig Ulmer Busenhart
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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 based 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.
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| Edition | Availability |
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1
Time-Dependent Partial Differential Equations and Their Numerical Solution
2012, Birkhauser Verlag
in English
3034882297 9783034882293
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2
Time-Dependant Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics. ETH Zürich)
May 11, 2001, Birkhäuser Basel
Paperback
in English
- 1 edition
3764361255 9783764361259
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