國立高雄大學圖資館 |

登入

回首頁

Numerical methods for extreme responses of dynamical systemsfinite dimensional models /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical methods for extreme responses of dynamical systemsby 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:	Stochastic analysis.
電子資源:	https://doi.org/10.1007/978-3-031-75023-6
ISBN:	9783031750236$q(electronic bk.)

Numerical methods for extreme responses of dynamical systemsfinite 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$q(electronic bk.)

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

183332
Stochastic analysis.

LC Class. No.: QA274.2

Dewey Class. No.: 519.2

Numerical methods for extreme responses of dynamical systemsfinite dimensional models /
LDR:02096nmm a2200337 a 4500 001 680397
003 DE-He213
005 20250123143012.0
006 m d
007 cr nn 008maaau
008 251110s2025 sz s 0 eng d
020 $a 9783031750236$q(electronic bk.)
020 $a 9783031750229$q(paper)
024 7 $a 10.1007/978-3-031-75023-6 $2 doi
035 $a 978-3-031-75023-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.2
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 519.2 $2 23
090 $a QA274.2 $b .G857 2025
100 1 $a Grigoriu, Mircea. $3 563435
245 1 0 $a Numerical methods for extreme responses of dynamical systems $h [electronic resource] : $b finite dimensional models / $c by Mircea D. Grigoriu.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
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 183332
650 0 $a Finite element method. $3 184533
650 0 $a Dynamics. $3 189568
650 1 4 $a Stochastic Analysis. $3 922616
650 2 4 $a Stochastic Processes. $3 743764
650 2 4 $a Stochastic Systems and Control. $3 922350
650 2 4 $a Engineering Mathematics. $3 806481
650 2 4 $a Mathematical and Computational Engineering Applications. $3 915034
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-75023-6
950 $a Mathematics and Statistics (SpringerNature-11649)