By J. C. Butcher

A re-creation of this vintage paintings, comprehensively revised to provide intriguing new advancements during this vital subject

The learn of numerical equipment for fixing traditional differential equations is consistently constructing and regenerating, and this 3rd version of a well-liked vintage quantity, written via one of many world’s major specialists within the box, provides an account of the topic which displays either its historic and well-established position in computational technology and its very important position as a cornerstone of recent utilized mathematics.

In addition to serving as a large and complete examine of numerical equipment for preliminary price difficulties, this e-book includes a exact emphasis on Runge-Kutta equipment by means of the mathematician who reworked the topic into its glossy shape relationship from his vintage 1963 and 1972 papers.  A moment characteristic is basic linear equipment that have now matured and grown from being a framework for a unified thought of quite a lot of diversified numerical schemes to a resource of latest and useful algorithms of their personal right.  because the founding father of common linear strategy learn, John Butcher has been a number one contributor to its improvement; his exact function is mirrored within the text.  The e-book is written within the lucid type attribute of the writer, and combines enlightening factors with rigorous and detailed research. as well as those expected positive factors, the booklet breaks new floor through together with the newest effects at the hugely effective G-symplectic tools which compete strongly with the well known symplectic Runge-Kutta tools for long term integration of conservative mechanical systems.

This 3rd variation of Numerical equipment for usual Differential Equations will function a key textual content for senior undergraduate and graduate classes in numerical research, and is a necessary source for learn staff in utilized arithmetic, physics and engineering.

 

 

 

Show description

Read Online or Download Numerical Methods for Ordinary Differential Equations PDF

Similar differential equations books

Solution Techniques for Elementary Partial Differential Equations, Second Edition (Chapman Hall/CRC Mathematics Series)

Incorporating a couple of improvements, answer options for ordinary Partial Differential Equations, moment variation provides probably the most very important and time-honored equipment for fixing partial differential equations (PDEs). The suggestions lined comprise separation of variables, approach to features, eigenfunction growth, Fourier and Laplace variations, Green’s services, perturbation equipment, and asymptotic research.

The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written by means of a number one pupil in arithmetic, this monograph discusses the Radon rework, a box that has broad ranging purposes to X-ray expertise, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this ebook, Ehrenpreis specializes in fresh examine and highlights the powerful dating among high-level natural arithmetic and functions of the Radon rework to components akin to clinical imaging.

Abstract Parabolic Evolution Equations and their Applications (Springer Monographs in Mathematics)

This monograph is meant to provide the basics of the idea of summary parabolic evolution equations and to teach the right way to practice to numerous nonlinear dif- sion equations and structures coming up in technological know-how. the speculation provides us a uni? ed and s- tematic therapy for concrete nonlinear diffusion versions.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods

Medical Computing and Differential Equations: An creation to Numerical equipment, is a wonderful supplement to advent to Numerical equipment through Ortega and Poole. The publication emphasizes the significance of fixing differential equations on a working laptop or computer, which contains a wide a part of what has become known as clinical computing.

Extra resources for Numerical Methods for Ordinary Differential Equations

Example text

Download PDF sample

Rated 4.72 of 5 – based on 22 votes