Electronic Resource

Differential-algebraic equations: a projector based analysis

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Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to constraints, in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering, system biology.
DAEs and their more abstract versions in infinite-dimensional spaces comprise a great potential for future mathematical modeling of complex coupled processes.
The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and so to motivate further research to this versatile, extra-ordinary topic from a broader mathematical perspective.
The book elaborates a new general structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Numerical integration issues and computational aspects are treated also in this context.

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Ketersediaan

Tidak ada salinan data

Informasi Detail

Judul Seri

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No. Panggil

E742

Penerbit

Jerman : Springer Berlin., 2013

Deskripsi Fisik

xxvii, 649 hlm.

Bahasa

English

ISBN/ISSN

9783642275555

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

Ed.1

Subjek

Persamaan Diferensial Parsial

Info Detail Spesifik

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Pernyataan Tanggungjawab

René Lamour , Roswitha März , Caren Tischendorf

Versi lain/terkait

Lampiran Berkas

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