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Computer solution of large linear systems
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ISBN: 044450169X 9786611054915 0080529518 1281054917 1435605225 9780080529516 9780444501691 Year: 1999 Volume: 28 Publisher: Amsterdam ; New York : Elsevier,

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Abstract

COMPUTER SOLUTION OF LARGE LINEAR SYSTEMSSTUDIES IN MATHEMATICS AND ITS APPLICATIONS VOLUME 28 (SMIA)

Projection methods for systems of equations
Author:
ISBN: 9780444827777 0444827773 0080515258 058547429X 9780585474298 9780080515250 Year: 1997 Volume: 7 Publisher: Amsterdam New York Elsevier Science

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Abstract

The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms.

The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation Ax = b by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems.

The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.


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Structure-preserving algorithms for oscillatory differential equations
Authors: --- ---
ISBN: 364244556X 3642353371 364235338X 1299337112 Year: 2013 Publisher: Heidelberg, Germany : Springer,

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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.

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