A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations

Autor: Lisi D'Alfonso, Alexandre Sedoglavic, Pablo Solernó, Gabriela Jeronimo, François Ollivier

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2011, 46 (10), pp.1114-1138. ⟨10.1016/j.jsc.2011.05.012⟩
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Journal of Symbolic Computation, Elsevier, 2011, 46 (10), pp.1114-1138. ⟨10.1016/j.jsc.2011.05.012⟩
J. Symb. Comput. 2011;46(10):1114-1138
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN

This paper deals with the index reduction problem for the class of quasi-regular DAE systems. It is shown that any of these systems can be transformed to a generically equivalent first order DAE system consisting of a single purely algebraic (polynom

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb8564afafd959cd5014a2227a9f27f7
https://hal.science/hal-00512704

Parallel numerical methods for large-scale DAE systems

Autor: Borchardt, Jürgen

For plantwide dynamic simulation in chemical process industry, parallel numerical methods using a divide and conquer strategy are considered. An approach for the numerical solution of initial value problems for large systems of differential algebraic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54ef900ec1305c9f9358d49555fe9b7c

Parallelized numerical methods for large systems of differential-algebraic equations in industrial application

Autor: Borchardt, Jürgen, Grund, Friedrich, Horn, Dietmar

Based on a hierarchical modular modeling the large nonlinear systems of differential algebraic equations arising from industrial applications in electric circuit simulation or in dynamic process simulation of chemical plants can be structured into su

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8c2d170b1aaceaa68f906f8c15bdecce

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Reduced order models for the simulation of pathological heart valves

Autor: Stepanova, Lidia

Numerical modeling of the human cardiovascular system (CVS) represents an active branch of research which allows the medical specialists to advance in understanding of underlined processes of blood circulation and the heart work at any scale, moreove

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______185::fc9a9060e15ccc7bda96cec629de67fb
https://infoscience.epfl.ch/record/187774