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Numerical methods for extreme respon...

Grigoriu, Mircea.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical methods for extreme responses of dynamical systems/ by Mircea D. Grigoriu.
Reminder of title:	finite dimensional models /
Author:	Grigoriu, Mircea.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	x, 312 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Stochastic analysis. -
Online resource:	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:

533923
Stochastic analysis.

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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245 1 0 $a Numerical methods for extreme responses of dynamical systems $h [electronic resource] : $b finite dimensional models / $c by Mircea D. Grigoriu.
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300 $a x, 312 p. : $b ill. (chiefly color), digital ; $c 24 cm.
520 $a 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.
650 0 $a Stochastic analysis. $3 533923
650 0 $a Finite element method. $3 579714
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650 1 4 $a Stochastic Analysis. $3 3599427
650 2 4 $a Stochastic Processes. $3 906873
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