SOWA OPAC : Katalog komputerowy książek, czasopism i zbiorów specjalnych

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Książka

W koszyku

Applied differential-algebraic equations / Wieslaw Marszalek ; Opole University of Technology. - Opole : Publishing Office of the Opole University of Technology, 2018. - XIV, 175 stron : ilustracje, wykresy ; 24 cm.

Autor

Marszałek Wiesław.

Forma i typ

Książki Publikacje naukowe

Temat

Analiza numeryczna Obwód elektryczny Mechanika płynów Modele matematyczne Równania różniczkowo-algebraiczne

Gatunek

Opracowanie

Dziedzina i ujęcie

Fizyka i astronomia Matematyka

Bibliografia, netografia na stronach 165-173. Indeks.

1.1What are differential-algebraic equations (DAEs)? 2Properties of DAEs 2.1General nonlinear DAEs 2.1.1Solvability of DAEs 2.1.2Basic types of DAEs 2.1.3Indices of DAEs 2.2Linear DAEs and their matrix pencils 2.3Quasilinear and semiexplicit DAEs 2.4Singularity induced bifurcation (SIB) 2.5Singularity crossing phenomena 2.6Boundary value problem 2.6.1Problem statement and example 2.6.2Analytical solution 3DAEs in electric circuits 3.1DAE models in electric circuits 3.2Computational examples 3.3Analysis via matrix pencils 3.4Mixed-mode oscillations in modified Chua's circuits 3.4.1Preliminaries 3.4.2Modified Chua's circuits 3.4.3MMOs in singularly perturbed Chua's circuits 3.4.4Analysis of MMOs in Chua's circuits 3.4.5Bifurcations, chaos in modified Chua's circuits and their fractal dimensions 3.4.6More estimates of fractal dimensions 4Semi-explicit DAEs in electrical power systems 4.1 Modeling of power systems 4.2Singularity induced bifurcations in power system 4.3Numerical examples 4.3.14 bus system 4.3.214 bus system 4.4Hopf bifurcation in power systems 5Traveling wave DAEs 5.1Preliminary remarks 5.2General system of conservation laws 5.2.1The p-system 5.2.2Gas dynamics 5.2.3Magnetohydrodynamics (MHD) 5.2.4A few comments on MHD DAEs 5.2.5Basic properties of MHD DAEs 5.2.6Dissipative mechanisms 5.3Numerical examples 5.4A cautionary example 6More on magnetohydrodynamics DAEs 6.1Dissipative MHD DAEs with heteroclinic orbits 6.2Equilibria and impasse points of MHD DAEs 6.3Numerical examples 6.4Resistive MHD DAEs 6.5.1The model 6.5.2Illustrative examples 7Two-phase fluid flow DAE models 7.1The model and its properties 7.2Traveling waves in two-phase fluid flows 7.3Traveling wave DAEs and quasilinear reduction 7.3.1Equilibria of the two phase flow DAE model 7.3.2A singularity crossing example 7.4Simplified model: gas dynamics only 8Transonic inviscid flow DAEs 8.1Algebraic and geometric singular points of DAEs 8.2.1Singularities of DAEs 8.2.2The SIB phenomenon 8.3DAE model of transonic flow 8.4Fold points 8.4.1Index of transonic inviscid DAEs 8.4.2Review of fold points and SIB in transonic inviscid DAEs 8.4.3 Parameter dependent polynomials: divergence of eigen values through infinity 9 Linear PDAEs and MOL solutions 9.1Linear PDAEs: method of lines and modal analysis 9.2Method of lines: differences 9.3Method of lines: elements 9.4Computational examples 9.5Boundary control problem 9.6Traveling and plane wave linear PDAEs

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