Author : Hyman Levy
Publisher : Courier Corporation
Page : 306 pages
File Size : 44,21 MB
Release : 1992-01-01
Category : Mathematics
ISBN : 0486672603
Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.
Author : George Boole
Publisher :
Page : 414 pages
File Size : 48,88 MB
Release : 1880
Category : Mathematics
ISBN :
Written by the founder of symbolic logic (and Boolean algebra), this classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods with clarity and rigor. Includes more than 200 problems. 1872 edition.
Author : Gupta & Malik
Publisher : Krishna Prakashan Media
Page : 921 pages
File Size : 26,70 MB
Release : 2003
Category :
ISBN : 8182833310
Author : George Boole
Publisher :
Page : 428 pages
File Size : 19,71 MB
Release : 1880
Category : Mathematics
ISBN :
Written by the founder of symbolic logic (and Boolean algebra), this classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods with clarity and rigor. Includes more than 200 problems. 1872 edition.
Author : Hans Petter Langtangen
Publisher : Springer
Page : 210 pages
File Size : 30,59 MB
Release : 2016-06-10
Category : Computers
ISBN : 3319294393
This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.
Author : John C. Strikwerda
Publisher : Springer
Page : 410 pages
File Size : 27,80 MB
Release : 1989-09-28
Category : Juvenile Nonfiction
ISBN :
Author : Lourenco Beirao da Veiga
Publisher : Springer
Page : 399 pages
File Size : 12,82 MB
Release : 2014-05-22
Category : Mathematics
ISBN : 3319026631
This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications.
Author : Bernd Heinrich
Publisher : Walter de Gruyter GmbH & Co KG
Page : 212 pages
File Size : 43,18 MB
Release : 1987-12-31
Category : Mathematics
ISBN : 311272089X
No detailed description available for "Finite Difference Methods on Irregular Networks".
Author : Ronald E. Mickens
Publisher : World Scientific
Page : 264 pages
File Size : 25,34 MB
Release : 1994
Category : Mathematics
ISBN : 9810214588
This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of ?exact? and ?best? finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.
Author : Zhilin Li
Publisher : Cambridge University Press
Page : 305 pages
File Size : 48,75 MB
Release : 2017-11-30
Category : Mathematics
ISBN : 1107163226
A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.
