Time-Dependent Partial Differential Equations And Their Numerical Solution - Couverture souple

Kreiss, Heinz-Otto

 
9783764361259: Time-Dependent Partial Differential Equations And Their Numerical Solution

Synopsis

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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9780817661250: Time-Dependent Partial Differential Equations and Their Numerical Solution

Edition présentée

ISBN 10 :  0817661255 ISBN 13 :  9780817661250
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