Differential-Algebraic Equations: A Projector Based Analysis / by René Lamour, Roswitha März, Caren Tischendorf.

Por:

Lamour, René [autor]

Colaborador(es):

Tipo de material: Texto

TextoSeries Differential-Algebraic Equations ForumEditor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Descripción: xxvii, 649 páginas 24 ilustraciones, 19 ilustraciones en color. recurso en líneaTipo de contenido:

texto

Tipo de medio:

computadora

Tipo de portador:

recurso en línea

ISBN:

9783642275555

Formatos físicos adicionales: Edición impresa:: Sin títuloClasificación LoC:

QA372

Recursos en línea:

Conectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)

Contenidos:

Notations -- Introduction -- Part I. Projector based approach -- 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients -- 3 Nonlinear DAEs -- Part II. Index-1 DAEs: Analysis and numerical treatment -- 4 Analysis -- 5 Numerical integration -- 6 Stability issues -- Part III. Computational aspects -- 7 Computational linear algebra aspects -- 8 Aspects of the numerical treatment of higher index DAEs -- Part IV. Advanced topics -- 9 Quasi-regular DAEs -- 10 Nonregular DAEs -- 11 Minimization with constraints described by DAEs -- 12 Abstract differential algebraic equations -- A. Linear Algebra – Basics.-.B. Technical Computations -- C Analysis -- References -- Index.

Resumen: 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 certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the 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 in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on 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. Some issues on numerical integration and computational aspects are also treated in this context.

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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 certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the 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 in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on 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. Some issues on numerical integration and computational aspects are also treated in this context.

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