β Scribed by Ernst Hairer, Gerhard Wanner, Syvert P. NΓΈrsett (auth.)
No coin nor oath required. For personal study only.
From the reviews
"This is the revised version of the first edition of Vol. I published in 1987. β¦.Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically." Zeitschrift fΓΌr Angewandte Mathematik und Physik
"β¦ This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planningβ¦" Optimization
"β¦ This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial." Mathematics and Computers
Front Matter....Pages I-XV
Classical Mathematical Theory....Pages 1-128
Runge-Kutta and Extrapolation Methods....Pages 129-353
Multistep Methods and General Linear Methods....Pages 355-474
Back Matter....Pages 475-528
Analysis; Numerical Analysis
π SIMILAR VOLUMES
I bought this book just because I have been using MATLAB's ODE function to simulate my physiological models. The MATLAB mannual recommend it. Although I found its content very useful for me, it is too much mathematics. Maybe it is the best book for mathematics major, but not for a non-mathematics
The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). There is a chapter on one-step and extrapolation methods for stiff problems, another one on multistep methods and general linear methods for stiff
<p><P>The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). There is a chapter on one-step and extrapolation methods for stiff problems, another on multistep methods and general linear methods for sti