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Numerical Methods and Modeling for Chemical Engineers

by @ 4:07 pm on April 30, 2008. Filed under Chemical engineering

File : pdf, 7.9 MB, 255 pages

TOC

Chapter 1 Initial-Value Problems for Ordinary Differential Equations 1
Introduction
Background
Explicit Methods
Stability
Runge-Kutta Methods
Implicit Methods
Extrapolation
Multistep Methods
High-Order Methods Based on Knowledge of allay Stiffness
Systems of Differential Equations
Step-Size Strategies
Mathematical Software

Chapter 2 Boundary-Value Problems for Ordinary Differential Equations: Discrete Variable Methods
Introduction
Background
Initial-Value Methods
Shooting Methods
Multiple Shooting
Superposition
Finite Difference Methods
Linear Second-Order Equations
Flux Boundary Conditions
Integration Method
Nonlinear Second-Order Equations
First-Order Systems
Higher-Order Methods
Mathematical Software

Chapter 3 Boundary-Value Problems for Ordinary Differential Equations: finite Element Methods
Introduction
Background
Piecewise Polynomial Functions
The Galerkin Method
Nonlinear Equations
Inhomogeneous Dirichlet and Flux Boundary Conditions
Mathematical Software
Collocation
Mathematical Software

Chapter 4 Parabolic Partial Differential Equations in One Space Variable
Introduction
Classification of Partial Differential Equations
Method of Lines
finite Differences
Low-Order Time Approximations
The Theta Method
Boundary and Initial Conditions
Nonlinear Equations
Inhomogeneous Media
High-Order Time Approximations
Finite Elements
Galerkin
Collocation
Mathematical Software

Chapter 5 Partial Differential Equations in Two Space Variables
Introduction
Elliptic PDEs-Finite Differences
Background
Laplace’s Equation in a Square
Dirichlet Problem
Neumann Problem
Robin Problem
Variable Coefficients and Nonlinear Problems
Nonuniform Grids
Irregular Boundaries
Dirichlet Condition
Normal Derivative Conditions
Elliptic PDEs-finite Elements
Background
Collocation
Gakrn
Parabolic PDEs in Two Space Variables
Method of Lines
Alternating Direction Implicit Methods
Mathematical Software
Parabolics
Elliptics

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Related posts:

  1. Modern Numerical Methods for Fluid Flow
  2. Differential Equations for Engineers
  3. Applied Mathematics (Advanced Mathematical Methods for Scientist and Engineer)
  4. Numerical Fluid Dynamics – Lecture Notes
  5. Finite Element Method / Boundary Element Method

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