<p>This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers. Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB® code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete. This book is intended for advanced undergraduate and early graduate students in numerical analysis and scientific computing and researchers in related fields. It is appropriate for a course on numerical methods for partial differential equations.</p>

Numerical Analysis of Partial Differential Equations Using Maple and MATLAB

Martin J. Gander

Felix Kwok

SIAM: Society for Industrial and Applied Mathematics

<p>Iterative methods use successive approximations to obtain more accurate solutions. Iterative Methods and Preconditioners for Systems of Linear Equations •presents historical background, •derives complete convergence estimates for all methods, •illustrates and provides Matlab codes for all methods, and •studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students in need of an overview or of deeper knowledge about iterative methods. It can be used in courses on Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory. Scientists and engineers interested in new topics and applications will also find the text useful.</p>

Iterative Methods and Preconditioners for Systems of Linear Equations

Gabriele Ciaramella

See the best price to sell, buy, or rent books by Martin J. Gander. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Martin J. Gander

See the best price to sell, buy, or rent books by Martin J. Gander. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Numerical Analysis of Partial Differential Equations Using Maple and MATLAB

Iterative Methods and Preconditioners for Systems of Linear Equations