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Numerical methods for extreme responses of dynamical systems = finite dimensional models /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical methods for extreme responses of dynamical systems/ by Mircea D. Grigoriu.
其他題名:	finite dimensional models /
作者:	Grigoriu, Mircea.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	x, 312 p. :ill. (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical and Computational Engineering Applications. -
電子資源:	https://doi.org/10.1007/978-3-031-75023-6
ISBN:	9783031750236

Numerical methods for extreme responses of dynamical systems = finite dimensional models /
Grigoriu, Mircea.

Numerical methods for extreme responses of dynamical systemsfinite dimensional models /[electronic resource] :by Mircea D. Grigoriu. - Cham :Springer Nature Switzerland :2025. - x, 312 p. :ill. (chiefly color), digital ;24 cm.

This book constructs input finite dimensional (FD) models that are amendable for numerical calculations and provides accurate representations for responses of dynamical systems to these inputs, i.e., numerical solutions of stochastic equations. It establishes conditions under which numerical solutions of these equations deliver accurate estimates of extreme responses of dynamical systems that are needed to, for example, predict extreme weather events and design reliable aircrafts. It is intended to serve a broad audience including graduate students, researchers, engineers, scientists and applied mathematicians interested in the formulation and solutions of complex stochastic problems. Includes algorithms for constructing FD models for a broad range of inputs and generating realizations of these models; Uses data-based estimates of extremes of outputs of stochastic equations based on high/low fidelity numerical solutions; Gives practical criteria for the convergence of numerical estimates of extreme system responses.

ISBN: 9783031750236

Standard No.: 10.1007/978-3-031-75023-6doiSubjects--Topical Terms:

1387767
Mathematical and Computational Engineering Applications.

LC Class. No.: QA274.2

Dewey Class. No.: 519.2

Numerical methods for extreme responses of dynamical systems = finite dimensional models /
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