Time-Dependent Partial Differential Equations And Their Numerical Solution (Lectures in Mathematics. ETH Zürich) - Softcover

Kreiss, Heinz-Otto

 
9783764361259: Time-Dependent Partial Differential Equations And Their Numerical Solution (Lectures in Mathematics. ETH Zürich)

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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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9780817661250: Time-Dependent Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics Eth Zurich)

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ISBN 10:  0817661255 ISBN 13:  9780817661250
Hardcover