Exact and Truncated Difference Schemes for Boundary Value ODEs
Author:   Ivan Gavrilyuk ,  Martin Hermann ,  Volodymyr Makarov ,  Myroslav V. Kutniv
Publisher:   Springer Basel
Edition:   2011 ed.
Volume:   159
ISBN:  

9783034801065


Pages:   247
Publication Date:   12 August 2011
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Exact and Truncated Difference Schemes for Boundary Value ODEs


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Author:   Ivan Gavrilyuk ,  Martin Hermann ,  Volodymyr Makarov ,  Myroslav V. Kutniv
Publisher:   Springer Basel
Imprint:   Springer Basel
Edition:   2011 ed.
Volume:   159
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.559kg
ISBN:  

9783034801065


ISBN 10:   3034801068
Pages:   247
Publication Date:   12 August 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- 1 Introduction and a short historical overview.- 2 2-point difference schemes for systems of ODEs.- 3 3-point difference schemes for scalar monotone ODEs.- 4 3-point difference schemes for systems of monotone ODEs.- 5 Difference schemes for BVPs on the half-axis.- 6 Exercises and solutions.- Index.

Reviews

From the reviews: The authors present a first unified theory of finite difference methods for the solution of linear and nonlinear boundary value problems (BVPs) of ordinary differential equations (ODEs). ... The book is addressed to graduate students of mathematics and physics, as well as to working scientists and engineers as a self-study tool and reference. Researchers working with BVBs will find appropriate and effective numerical algorithms for their needs. ... also be used as a textbook for a one- or-two- semester course on numerical methods for ODEs. (Razvan Raducanu, Zentralblatt MATH, Vol. 1226, 2012)


From the reviews: The authors present a first unified theory of finite difference methods for the solution of linear and nonlinear boundary value problems (BVPs) of ordinary differential equations (ODEs). ... The book is addressed to graduate students of mathematics and physics, as well as to working scientists and engineers as a self-study tool and reference. Researchers working with BVBs will find appropriate and effective numerical algorithms for their needs. ... also be used as a textbook for a one- or-two- semester course on numerical methods for ODEs. (Razvan Raducanu, Zentralblatt MATH, Vol. 1226, 2012)


From the reviews: “The authors present a first unified theory of finite difference methods for the solution of linear and nonlinear boundary value problems (BVPs) of ordinary differential equations (ODEs). … The book is addressed to graduate students of mathematics and physics, as well as to working scientists and engineers as a self-study tool and reference. Researchers working with BVBs will find appropriate and effective numerical algorithms for their needs. … also be used as a textbook for a one- or-two- semester course on numerical methods for ODEs.” (Răzvan Răducanu, Zentralblatt MATH, Vol. 1226, 2012)


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