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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Time-Dependent Partial Differential Equations and Their Numerical Solution

Time-Dependent Partial Differential Equations and Their Numerical Solution

Kreiss, Heinz-Otto
Ulmer Busenhart, Hedwig

Paperback

Series: Lectures in Mathematics. Eth Zürich

General Mathematics

ISBN10: 3764361255
ISBN13: 9783764361259
Publisher: Springer Nature
Published: Apr 1 2001
Pages: 82
Weight: 0.43
Height: 0.35 Width: 6.75 Depth: 9.47
Language: English
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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