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

✍ Scribed by Loustau, John

Publisher: World Scientific
Year: 2016
Tongue: English
Leaves: 376
Series: Numerical & Computational Mathematics, Applied Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Table of 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

✦ Subjects

Differential equations / Textbooks;Differential equations / Study and teaching (Graduate);Numerisches Verfahren;Differentialgleichung

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