Introduction to the Numerical Integration of PDEs
by B. Piette
Publisher: University of Durham 2004
Number of pages: 89
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.
Home page url
Download or read it online for free here:
by 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.
by C.T. Kelley - SIAM
This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods.
by Leon Q. Brin - Southern Connecticut State University
A one semester introduction to numerical analysis. Includes typical introductory material, root finding, numerical calculus, and interpolation techniques. The focus is on the mathematics rather than application to engineering or sciences.
by Ph. Ciarlet - Tata Institute of Fundamental Research
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why some important topics are not covered here.