Partial Differential Equations with Numerical Methods

ISBN-10: 3540887059
ISBN-13: 9783540887058
Edition: 2003
Buy it from $49.77
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For  More...

New Starting from $53.14
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Italian Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Portuguese Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Spanish Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
German Grammar Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

Copyright year: 2003
Publisher: Springer London, Limited
Publication date: 12/5/2008
Binding: Paperback
Pages: 262
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 1.100
Language: English

The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix.

Introduction
Background
Notation and Mathematical Preliminaries
Physical Derivation of the Heat Equation
Problems
A Two-Point Boundary Value Problem
The Maximum Principle
Green's Function
Variational Formulation
Problems
Elliptic Equations
Preliminaries
A Maximum Principle
Dirichlet's Problem for a Disc. Poisson's Integral
Fundamental Solutions. Green's Function
Variational Formulation of the Dirichlet Problem
A Neumann Problem
Regularity
Problems
Finite Difference Methods for Elliptic Equations
A Two-Point Boundary Value Problem
Poisson's Equation
Problems
Finite Element Methods for Elliptic Equations
A Two-Point Boundary Value Problem
A Model Problem in the Plane
Some Facts from Approximation Theory
Error Estimates
An A Posteriori Error Estimate
Numerical Integration
A Mixed Finite Element Method
Problems
The Elliptic Eigenvalue Problem
Eigenfunction Expansions
Numerical Solution of the Eigenvalue Problem
Problems
Initial-Value Problems for ODEs
The Initial Value Problem for a Linear System
Numerical Solution of ODEs
Problems
Parabolic Equations
The Pure Initial Value Problem
Solution by Eigenfunction Expansion
Variational Formulation. Energy Estimates
A Maximum Principle
Problems
Finite Difference Methods for Parabolic Problems
The Pure Initial Value Problem
The Mixed Initial-Boundary Value Problem
Problems
The Finite Element Method for a Parabolic Problem
The Semidiscrete Galerkin Finite Element Method
Some Completely Discrete Schemes
Problems
Hyperbolic Equations
Characteristic Directions and Surfaces
The Wave Equation
First Order Scalar Equations
Symmetric Hyperbolic Systems
Problems
Finite Difference Methods for Hyperbolic Equations
First Order Scalar Equations
Symmetric Hyperbolic Systems
The Wendroff Box Scheme
Problems
The Finite Element Method for Hyperbolic Equations
The Wave Equation
First Order Hyperbolic Equations
Problems
Some Other Classes of Numerical Methods
Collocation methods
Spectral Methods
Finite Volume Methods
Boundary Element Methods
Problems
Some Tools from Mathematical Analysis
Abstract Linear Spaces
Function Spaces
The Fourier Transform
Problems
Orientation on Numerical Linear Algebra
Direct Methods
Iterative Methods. Relaxation, Overrelaxation, and Acceleration
Alternating Direction Methods
Preconditioned Conjugate Gradient Methods
Multigrid and Domain Decomposition Methods
Bibliography
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×