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Numerical differential equations : theory and technique, ODE methods, finite differences, finite elements and collocation

Author: John Loustau
Publisher: New Jersey : World Scientific, [2016]
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The book presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping  Read more...

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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: John Loustau
ISBN: 9789814719490 9814719498
OCLC Number: 924636926
Description: xxi, 361 pages : illustrations ; 24 cm
Contents: ODE, Population Models, Runge-Kutta; FDM: Parabolic PDE; Hyperbolic PDE; Stability; Neumann Stability; Lax Equivalence; Elliptical PDE; Extended Difference Formulations; FEM: Laplace Equation; Helmholtz Equation; Cell Chemotaxis; Navier-Stokes Equation; Stokes Equation; Basic FEM Models; Sobolev Spaces; Density Theorems; Traces; Sobolev Imbedding; Lax-Milgram Theorem; Piecewise Polynomial Interpolation; Convergence For Uniformly Elliptical PDE; CM: Black-Scholes Equation; Diffusion-Reaction Equation; OCE Collocation; Spectral Collocation; Convergence;
Responsibility: John Loustau.

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