عنوان

Time dependent partial differential equations and their numerical solution

(Number (ISBN

3034882297

(Number (ISBN

3764361255

(Number (ISBN

9783034882293

(Number (ISBN

9783764361259

Number

b542783

Title Proper

Time dependent partial differential equations and their numerical solution

General Material Designation

[Book]

First Statement of Responsibility

Heinz-Otto Kreiss, Hedwig Ulmer Busenhart.

Place of Publication, Distribution, etc.

Basel

Name of Publisher, Distributor, etc.

Birkhäuser, cop.

Date of Publication, Distribution, etc.

2001

Specific Material Designation and Extent of Item

(VII, 82 p).

Series Title

Lectures in mathematics / ETH Zürich

Text of Note

1 Cauchy Problems.- 1.1 Introductory Examples.- 1.2 Well-Posedness.- 1.3 Hyperbolic Systems with Constant Coefficients.- 1.3.1 In One Space Dimension.- 1.3.2 Symmetrizer.- 1.3.3 Multiple Space Dimensions.- 1.4 General Systems with Constant Coefficients.- 1.4.1 Parabolic Systems.- 1.4.2 Mixed Systems.- 1.5 Linear Systems with Variable Coefficients.- 1.6 Remarks.- 2 Half Plane Problems.- 2.1 Hyperbolic Systems in One Dimension.- 2.2 Hyperbolic Systems in Two Dimensions.- 2.3 Well-Posed Half Plane Problems.- 2.4 Well-Posed Problems in the Generalized Sense.- 2.5 Farfield Boundary Conditions.- 2.6 Energy Estimates.- 2.7 First Order Systems with Variable Coefficients.- 2.8 Remarks.- 3 Difference Methods.- 3.1 Periodic Problems.- 3.2 Half Plane Problems.- 3.2.1 Energy Estimates.- 3.2.2 Estimates by using Laplace Transform.- 3.2.3 Error Estimates.- 3.3 Method of Lines.- 3.4 Remarks.- 4 Nonlinear Problems.- 4.1 General Discussion.- 4.2 Initial Value Problems for Ordinary Differential Equations.- 4.3 Existence Theorems for Nonlinear Partial Differential Equations.- 4.4 Perturbation Expansion.- 4.5 Convergence of Difference Methods.- 4.6 Remarks.

Differential equations, Partial -- Numerical solutions.

Équations aux dérivées partielles -- Solutions numériques.

Partielle Differentialgleichung

Class number

Book number

Heinz-Otto Kreiss, Hedwig Ulmer Busenhart.

Hedwig Ulmer Busenhart

Heinz-Otto Kreiss

Electronic name

[Book]

Y