Logo

Lectures on Numerical Methods for Non-Linear Variational Problems

Large book cover: Lectures on Numerical Methods for Non-Linear Variational Problems

Lectures on Numerical Methods for Non-Linear Variational Problems
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: 3540775064
Number of pages: 265

Description:
Many physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids.

Download or read it online for free here:
Download link
(1.6MB, PDF)

Similar books

Book cover: Linear Optimisation and Numerical AnalysisLinear Optimisation and Numerical Analysis
by - University of Aberdeen
The book describes the simplex algorithm and shows how it can be used to solve real problems. It shows how previous results in linear algebra give a framework for understanding the simplex algorithm and describes other optimization algorithms.
(12454 views)
Book cover: Geometric Transformation of Finite Element Methods: Theory and ApplicationsGeometric Transformation of Finite Element Methods: Theory and Applications
by - 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.
(3331 views)
Book cover: Numerical Analysis INumerical Analysis I
by - Rice University
This course takes a tour through many algorithms of numerical analysis. We aim to assess alternative methods based on efficiency, to discern well-posed problems from ill-posed ones, and to see these methods in action through computer implementation.
(11393 views)
Book cover: Fundamental Numerical Methods and Data AnalysisFundamental Numerical Methods and Data Analysis
by - NASA ADS
'Fundamental Numerical Methods and Data Analysis' can serve as the basis for a wide range of courses that discuss numerical methods used in science. The author provides examples of the more difficult algorithms integrated into the text.
(14322 views)