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1 Burnside Mathematics- Differential Equations

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Structure-Preserving Algorithms for Oscillatory Differential Equations

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Structure-Preserving Algorithms for Oscillatory Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

Synopsis:

This book describes effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Includes advances in ARKN, ERKN, Falkner-type and energy-preserving methods.

Table of Contents

Preliminaries.- ARKN methods.- ERKN methods.- Symplectic ARKN and ERKN methods.- Two-step ERKN methods.- Falkner-type methods.- Energy-preserving RKN and ERKN methods.- Multi-symplectic ERKN methods.

Product Details

ISBN:
9783642353376
Author:
Wu, Xinyuan
Publisher:
Springer
Author:
Wang, Bin
Author:
You, Xiong
Subject:
Applied
Subject:
ARKN Method
Subject:
ERKN Method
Subject:
Second-order Oscillatory Differential Equation
Subject:
Structure-preserving Algorithm
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Computational science and engineering
Subject:
Mathematics-Applied
Copyright:
Edition Description:
2013
Publication Date:
20130221
Binding:
HARDCOVER
Language:
English
Pages:
250
Dimensions:
235 x 155 mm

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Personal Computers » General
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Physics » Math

Structure-Preserving Algorithms for Oscillatory Differential Equations Used Hardcover
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Product details 250 pages Springer - English 9783642353376 Reviews:
"Synopsis" by , This book describes effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Includes advances in ARKN, ERKN, Falkner-type and energy-preserving methods.
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