Описание: Part I: Stochastic Chemical Reactions.- Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability.- Importance Sampling for Metastable and Multiscale Dynamical Systems.- Multiscale Simulation of Stochastic Reaction-diffusion Networks.- Part II: Stochastic Numerical Approaches, Algorithms and Coarse-Grained Simulations.- Numerical Methods for Ergodic SDEs: When Stochastic Integration Meets Geometric Integration.-Stability and Strong Convergence for Spatial Stochastic Kinetics.- The T cells in an Ageing Virtual Mouse.- Part III: Analysis of Stochastic Dynamical Systems for Modeling Cell Biology.- Model reduction for Stochastic Reaction Systems.- ZI-closure Scheme: A Method to Solve and Study Stochastic Reaction Networks.- Deterministic and Stochastic Becker-Dцring Equations: Past and Recent Mathematical Developments.- Coagulation-Fragmentation with a Finite Number of Particles: Models, Stochastic Analysis and Applications to Telomere Clustering and Viral Capsid Assembly.- A Review of Stochastic and Delay Simulation Approaches in both Time and Space in Computational Cell Biology.- Part IV: Diffusion Processes and Stochastic Modeling.- Recent Mathematical Models of Axonal Transport.- Stochastic Models for Evolving Cellular Populations of Mitochondria: Disease, Development, and Ageing.- Modeling and Stochastic Analysis of the Single Photon Response.- A Phenomenological Spatial Model for Macro-ecological Patterns in Species-rich Ecosystems.
Описание: The computational solution of partial differential systems has become so involved that it is important to automate decisions that have been left to the individual. This book covers such decisions: mesh generation with links to the software generating the domain geometry; and solution accuracy with mesh selection linked to solution generation.
Описание: The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.
Автор: Ivo Babuska; Philippe G. Ciarlet; Tetsuhiko Miyosh Название: Mathematical Modeling and Numerical Simulation in Continuum Mechanics ISBN: 3540423990 ISBN-13(EAN): 9783540423997 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first international symposium on mathematical foundations of the finite element method was held at the University of Maryland in 1973. This book is the record of the proceedings of the International Sympo- sium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, held in Yamaguchi, Japan from 29 September to 3 October 2000.
Автор: Petr N. Vabishchevich Название: Computational Technologies: Advanced Topics ISBN: 3110359944 ISBN-13(EAN): 9783110359947 Издательство: Walter de Gruyter Цена: 9288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses questions of numerical solutions of applied problems on parallel computing systems. Nowadays, engineering and scientific computations are carried out on parallel computing systems, which provide parallel data processing on a few computing nodes. In the development of up-to-date applied software, this feature of computers must be taken into account for the maximum efficient usage of their resources. In constructing computational algorithms, we should separate relatively independent subproblems in order to solve them on a single computing node.
Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs.
This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.
Автор: DuBois Thierry, Temam Roger, Jauberteau Frangois Название: Dynamic Multilevel Methods and the Numerical Simulation of Turbulence ISBN: 0521621658 ISBN-13(EAN): 9780521621656 Издательство: Cambridge Academ Цена: 15206.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This 1999 book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The implementation issues are discussed and simulations of the flows are presented and analysed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.
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