Coping with Complexity: Model Reduction and Data Analysis

Issue 75. Берлин , Хайдельберг : Springer, 2011.

Под общей редакцией: Горбань А. Н., Руз Д.

This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis", Ambleside, UK, August 31 – September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.

Главы книги

Universal Algorithms, Mathematics of Semirings and Parallel Computations

Литвинов Г. Л., Маслов В. П., Родионов А. Я. и др., , in: Coping with Complexity: Model Reduction and Data AnalysisIssue 75.: Berlin, Heidelberg: Springer, 2011. P. 63–89.

This is a survey paper on applications of mathematics of semirings to numerical analysis and computing. Concepts of universal algorithm and generic program are discussed. Relations between these concepts and mathematics of semirings are examined. A very brief introduction to mathematics of semirings (including idempotent and tropical mathematics) is presented. Concrete applications to optimization problems, ...

Добавлено: 29 мая 2013 г.

Ключевые слова: asymptotics, dimensionality reduction, invariant manifolds, kinetics, model reduction, singular perturbation