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
Lectures on Numerical Methods in Bifurcation Problemsby 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.
(8615 views)
Geometric Transformation of Finite Element Methods: Theory and Applicationsby M. Holst, M. Licht - arXiv.org
We present a new technique to apply finite element methods to partial differential equations over curved domains. Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove finite element convergence rates for the problem.
(5036 views)
Solving PDEs in Pythonby Hans Petter Langtangen, Anders Logg - Springer
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, it guides readers through the essential steps to quickly solving a PDE in FEniCS.
(6017 views)
Numerical Solutions of Engineering Problemsby 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.
(14709 views)