Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
  Top » Catalog » Books » My Account  |  Cart Contents  |  Checkout   
Quick Find
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Doxycycline: Medical Uses and Effects
Shopping Cart more
0 items
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Notifications more
NotificationsNotify me of updates to Operator Splittings and their Applications
Tell A Friend
Tell someone you know about this product.
Operator Splittings and their Applications
Retail Price: $59.00
10% Online Discount
You Pay:

Authors: Istvan Farago and Agnes Havasi (Eotvos Lorand Univ., Budapest, Hungary) 
Book Description:
The mathematical modelling of several real-life phenomena is mostly based on systems of time-dependent partial differential equations. The high complexity of these systems requires the application of numerical solution techniques. However, if some “off-the-shelf” solver is applied directly to the system, accuracy and efficiency of the numerical solution can hardly be satisfied at the same time. Therefore, procedures that allow us to lead the solution of the system back to the solution of simpler systems for which sufficiently accurate as well as efficient methods exist, are of great significance. This is exactly what operator splitting attains.
The different sub-processes of the described phenomenon are treated separately during operator splitting, by coupling the corresponding mathematical problems through their initial conditions. In the treatment of large scientific and engineering problems splitting procedures are an excellent tool (and, very often, the only tool) by which huge computational tasks can be made tractable on the available computers. This is the reason why in the last period splitting techniques have been widely used in many fields of real-life numerical modeling, and the number of the publications in this topic is exponentially growing. At the same time, there does not exist a well-based, systematic work on the different theoretical and practical aspects of this approach. The major aim of this work is to help scientists dealing with numerical modelling of real-life problems in understanding and applying different splitting methods. We recommend our work to numerical modellers and engineers as well as to graduate students who would like to become familiar with a very efficient computational method, applicable to a wide class of problems.

We’ve partnered with Copyright Clearance Center to make it easy for you to request permissions to reuse Nova content.
For more information, click here or click the "Get Permission" button below to link directly to this book on Copyright Clearance Center's website.

Table of Contents:

1. Introduction, pp. 1

2. Operator Splitting: History and Motivation, pp. 3-4

3. Description and Analysis of the Operator Splittings, pp. 5-38
3.1 Classical Operator Splittings (Sequential, Strang-Marchuk)
3.2 New Operator Splittings (Weighted Splittings, Additive Splittings, Iterated Splittings)
3.3 An Example
3.4 Active Richardson-Extrapolated Splittings

4. Further Investigations of the Operator Splittings, pp. 39-58
4.1 Local Error Analysis
4.2 Convergence of the Operator Splittings
4.3 Higher-Order Convergence of the Operator Splittings

5. Numerical Solution of the Split Sub-Problems, pp. 59-68
5.1 Combined Discretization Methods
5.2 Error Analysis of the Combined Discretization Methods

6. The Application of Operator Splitting to Real-Life Problems, pp. 69-96
6.1 Air Pollution Modelling
6.2 Shallow Water Equations
6.3 The Numerical Modeling of Fuel Cells by Using Operator Splitting

7. Conclusion, pp. 97-99


      Mathematics Research Developments
   Binding: Softcover
   Pub. Date: 2009
   Pages: 112 pp.
   ISBN: 978-1-60741-776-7
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
Special Focus Titles
01.Violent Communication and Bullying in Early Childhood Education
02.Cultural Considerations in Intervention with Women and Children Exposed to Intimate Partner Violence
03.Chronic Disease and Disability: The Pediatric Lung
04.Fruit and Vegetable Consumption and Health: New Research
05.Fire and the Sword: Understanding the Impact and Challenge of Organized Islamism. Volume 2

Nova Science Publishers
© Copyright 2004 - 2021

Operator Splittings and their Applications