University of Toronto Institute for Aerospace Studies, 1999. 267
p.
Contents
Introduction
Conservation Laws and the Model Equations
Finite-Difference Approximations
The Semi-Discrete Approach
Finite-Volume Methods
Time-Marching Methods for Ode's
Stability of Linear Systems
Choice of Time-Marching Methods
Relaxation Methods
Multigrid
Numerical Dissipation
Split and Factored Forms
Linear Analysis of Split and Factored Forms
A Useful Relations and Definitions From Linear Al-Gebra
B Some Properties of Tridiagonal Matrices
C The Homogeneous Property of the Euler Equations
Contents
Introduction
Conservation Laws and the Model Equations
Finite-Difference Approximations
The Semi-Discrete Approach
Finite-Volume Methods
Time-Marching Methods for Ode's
Stability of Linear Systems
Choice of Time-Marching Methods
Relaxation Methods
Multigrid
Numerical Dissipation
Split and Factored Forms
Linear Analysis of Split and Factored Forms
A Useful Relations and Definitions From Linear Al-Gebra
B Some Properties of Tridiagonal Matrices
C The Homogeneous Property of the Euler Equations