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Numerical approximation of ordinary ...

D'Ambrosio, Raffaele.

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Numerical approximation of ordinary differential problems = from deterministic to stochastic numerical methods /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical approximation of ordinary differential problems/ by Raffaele D'Ambrosio.
其他題名:	from deterministic to stochastic numerical methods /
作者:	D'Ambrosio, Raffaele.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xiv, 385 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Discretization (Mathematics) -
電子資源:	https://doi.org/10.1007/978-3-031-31343-1
ISBN:	9783031313431

Numerical approximation of ordinary differential problems = from deterministic to stochastic numerical methods /
D'Ambrosio, Raffaele.

Numerical approximation of ordinary differential problemsfrom deterministic to stochastic numerical methods /[electronic resource] :by Raffaele D'Ambrosio. - Cham :Springer Nature Switzerland :2023. - xiv, 385 p. :ill., digital ;24 cm. - La matematica per il 3+2,v. 1482038-5757 ;. - La matematica per il 3+2 ;v. 148..

This book is focused on the numerical discretization of ordinary differential equations (ODEs), under several perspectives. The attention is first conveyed to providing accurate numerical solutions of deterministic problems. Then, the presentation moves to a more modern vision of numerical approximation, oriented to reproducing qualitative properties of the continuous problem along the discretized dynamics over long times. The book finally performs some steps in the direction of stochastic differential equations (SDEs), with the intention of offering useful tools to generalize the techniques introduced for the numerical approximation of ODEs to the stochastic case, as well as of presenting numerical issues natively introduced for SDEs. The book is the result of an intense teaching experience as well as of the research carried out in the last decade by the author. It is both intended for students and instructors: for the students, this book is comprehensive and rather self-contained; for the instructors, there is material for one or more monographic courses on ODEs and related topics. In this respect, the book can be followed in its designed path and includes motivational aspects, historical background, examples and a software programs, implemented in Matlab, that can be useful for the laboratory part of a course on numerical ODEs/SDEs. The book also contains the portraits of several pioneers in the numerical discretization of differential problems, useful to provide a framework to understand their contributes in the presented fields. Last, but not least, rigor joins readability in the book.

ISBN: 9783031313431

Standard No.: 10.1007/978-3-031-31343-1doiSubjects--Topical Terms:

3338867
Discretization (Mathematics)

LC Class. No.: QA372 / .D36 2023

Dewey Class. No.: 515.35

Numerical approximation of ordinary differential problems = from deterministic to stochastic numerical methods /
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