**Introduction to the Numerical Integration of PDEs**

by B. Piette

**Publisher**: University of Durham 2004**Number of pages**: 89

**Description**:

In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.

Download or read it online for free here:

**Download link**

(530KB, PS)

## Similar books

**Numerical Solutions of Engineering Problems**

by

**K. Nandakumar**-

**University of Alberta**

Contents: On mathematical models; Single nonlinear algebraic equation; System of linear and nonlinear algebraic equations; Numerical differentiation and integration; Ordinary differential equations; Boundary value problems; etc.

(

**7330**views)

**Lectures on Numerical Methods in Bifurcation Problems**

by

**H.B. Keller**-

**Tata Institute Of Fundamental Research**

These lectures introduce the modern theory and practical numerical methods for continuation of solutions of nonlinear problems depending upon parameters. The treatment is elementary, advanced calculus and linear algebra are the omly prerequisites.

(

**4895**views)

**Templates for the Solution of Linear Systems**

by

**Richard Barrett et al.**-

**Society for Industrial Mathematics**

The book focuses on the use of iterative methods for solving large sparse systems of linear equations. General and reusable templates are introduced to meet the needs of both the traditional user and the high-performance specialist.

(

**10830**views)

**Parallel Spectral Numerical Methods**

by

**Gong Chen, et al.**-

**Wikibooks**

We start with finite-precision arithmetic. We then discuss how to solve ordinary differential equations and partial differential equations using the technique of separation of variables. We then introduce numerical time-stepping schemes...

(

**4805**views)