Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
portes grátis
Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
Loustau, John (Hunter College, Usa)
World Scientific Publishing Co Pte Ltd
03/2016
384
Dura
Inglês
9789814719490
15 a 20 dias
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 techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.
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;
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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 techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.
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;
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
