# Partial differential equations schaum series pdf

schaum’s outline of partial differential equations pdf is a foreign writer book. The author of the book is Paul DuChateau and David W. zachmann who are professors of mathematics in Coloado state university. In book every chapter contain sufficient amount of theory and problems for concept building. The schaum’s outline math series is really awesome for cracking a competition or getting better grades.

## Chapter list of partial differential equations schaum series pdf:

Chapter 1 : INTRODUCTION

1.1 Notation and Terminology
1.2 Vector Calculus and Integral Identities
1.3 Auxiliary Conditions; Well-Posed Problems

Chapter 2 : CLASSIFICATION & CHARACTERISTICS

2.1 Types of Second-Order Equations
2.2 Characteristics
2.3 Canonical Forms
2.4 Dimensional Analysis

Chapter 3 : QUALITATlVE BEHAVIOR OF SOLUTIONS TO ELLIPTIC EQUATIONS

3.1 Harmonic Functions
3.2 Extended Maximum-Minimum Principles
3.3 Elliptic Boundary Value Problems

Chapter 4 QUALITATIVE BEHAVIOR OF SOLUTIONS TO EVOLUTION EQUATIONS

4.1 Initial Value and Initial-Boundary Value Problems
4.2 Maximum-Minimum Principles (Parabolic PDEs)
4.3 Diffusionlike Evolution (Parabolic PDEs)
4.4 Wavelike Evolution (Hyperbolic PDEs)

Chapter 5 FIRST – ORDER EQUATIONS

5.1 Introduction
5.2 Classification
5.3 Normal Form for Hyperbolic Systems
5.4 The Cauchy Problem for a Hyperbolic System

Chapter 6 : EIGENFUNCTION EXPANSIONS AND INTEGRAL TRANSFORMS : THEORY

6.1 Fourier Series
6.2 Generalized Fourier Series
6.3 Sturm- Liouville Problems; Eigenfunction Expansions
6.4 Fourier and Laplace Integral Transforms

Chapter 7 : EIGENFUNCTION EXPANSIONS AND INTEGRAL TRANSFORMS: APPLICATIONS

7.1 The Principle of Superposition
7.2 Separation of Variables
7.3 Integral Transforms

Chapter 8 : GREEN’S FUNCTIONS

8.1 Introduction
8.2 Laplace’s Equation
8.3 Elliptic Boundary Value Problems
8.4 Diffusion Equation
8.5 Wave Equation

Chapter 9 : DIFFERENCE METHODS FOR PARABOLic EQUATIONS

9.1 Difference Equations
9.2 Consistency and Convergence
9.3 Stability
9.4 Parabolic Equations

Chapter 10 : DIFFERENCE METHODS FOR HYPERBOLIC EQUATIONS

10.1 One-Dimensional Wave Equation
10.2 Numerical Method of Characteristics for a Second-Order PDE
10.3 First-Order Equations
10.4 Numerical Method of Characteristics for First-Order Systems

Chapter 11 : DIFFERENCE METHODS FOR ELLIPTIC EQUATIONS

11.1 Linear Algebraic Equations
11.2 Direct Solution of Linear Equations
11.3 Iterative Solution of Linear Equations
11.4 Convergence of Point Iterative Methods
11.5 Convergence Rates

Chapter 12 : VARIATIONAL FORMULATION OF BOUNDARY VALUE PROBLEMS 188

12.1 Introduction
12.2 The Function Space L \fl)
12.3 The Calculus of Variations
12.4 Variational Principles for Eigenvalues and Eigenfunctions
12.5 Weak Solutions of Boundary Value Problems.

Chapter 13 : VARIATIONAL APPROXIMATION METHODS

13.1 The Rayleigh-Ritz Procedure
13.2 The Galerkin PTOcedure

Chapter 14 : THE FINITE ELEMENT METHOD: AN INTRODUCTION

14.1 Finite Element Spaces in One Dimension
14.2 Finite Element Spaces in the Plane
14.3 The Finite Element Metbod