General Linear Methods for Ordinary Differential Equations Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
Learn to develop numerical methods for ordinary differential equations

General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering.

The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of:

• Differential equations and systems

• Introduction to general linear methods (GLMs)

• Diagonally implicit multistage integration methods (DIMSIMs)

• Implementation of DIMSIMs

• Two-step Runge-Kutta (TSRK) methods

• Implementation of TSRK methods

• GLMs with inherent Runge-Kutta stability (IRKS)

• Implementation of GLMs with IRKS

General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.

General Linear Methods for Ordinary Differential Equations by Zdzislaw Jackiewicz

From reader reviews:

Fabian Luton:

The feeling that you get from General Linear Methods for Ordinary Differential Equations is the more deep you excavating the information that hide inside the words the more you get enthusiastic about reading it. It doesn't mean that this book is hard to recognise but General Linear Methods for Ordinary Differential Equations giving you thrill feeling of reading. The copy writer conveys their point in a number of way that can be understood simply by anyone who read the item because the author of this publication is well-known enough. This book also makes your own vocabulary increase well. That makes it easy to understand then can go along, both in printed or e-book style are available. We highly recommend you for having this specific General Linear Methods for Ordinary Differential Equations instantly.

Frank Botelho:

Reading can called brain hangout, why? Because when you find yourself reading a book mainly book entitled General Linear Methods for Ordinary Differential Equations your thoughts will drift away trough every dimension, wandering in each and every aspect that maybe mysterious for but surely can be your mind friends. Imaging just about every word written in a e-book then become one contact form conclusion and explanation that will maybe you never get ahead of. The General Linear Methods for Ordinary Differential Equations giving you a different experience more than blown away your mind but also giving you useful facts for your better life on this era. So now let us explain to you the relaxing pattern this is your body and mind are going to be pleased when you are finished examining it, like winning an activity. Do you want to try this extraordinary shelling out spare time activity?

Diane Welton:

Your reading sixth sense will not betray you, why because this General Linear Methods for Ordinary Differential Equations book written by well-known writer who knows well how to make book that may be understand by anyone who also read the book. Written within good manner for you, still dripping wet every ideas and publishing skill only for eliminate your hunger then you still hesitation General Linear Methods for Ordinary Differential Equations as good book not only by the cover but also by content. This is one guide that can break don't assess book by its deal with, so do you still needing an additional sixth sense to pick this particular!? Oh come on your looking at sixth sense already alerted you so why you have to listening to one more sixth sense.

Jason Bradley:

Are you kind of active person, only have 10 or perhaps 15 minute in your morning to upgrading your mind proficiency or thinking skill possibly analytical thinking? Then you are experiencing problem with the book in comparison with can satisfy your limited time to read it because this time you only find e-book that need more time to be examine. General Linear Methods for Ordinary Differential Equations can be your answer since it can be read by you who have those short extra time problems.