Kategoria BISAC: Mathematics >> Linear & Nonlinear Programming

MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.

The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the simulation of random processes. Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require...

This proceedings volume contains a selection of papers presented at the symposium "International Conference on High Performance Scientific Computing'' held at the Hanoi Institute of Mathematics of the Vietnam National Center for Natural Science and Technology (NCST), March 10-14, 2003. The conference has been organized by the Hanoi Institute of Mathematics, SFB 359 ''Reactive Flows, Transport and Diffusion'', Heidelberg, Ho Chi Minh City University of Technology and Interdisciplinary Center for Scientific Computing (IWR), Heidelberg. The contributions cover the broad interdisciplinary...

Ongoing global changes bring fundamentally new scientific problems requiring
new concepts and tools. A key issue concerns a vast variety of practically
irreducible uncertainties, which challenge our traditional models and require
new concepts and analytical tools. The uncertainty critically dominates, e.g.,
the climate change debates. In short, the dilemma is concerned with enormous
costs vs. massive uncertainties of potential extreme impacts.
Traditional scientific approaches usually rely on real observations and
experiments. Yet no sufficient observations...

From the reviews: " ...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. ...] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH

From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Le fil directeur de ce livre, construit a partir des cours de DESS et de DEA de l'auteur, est la fiabilite. Son but est de montrer concretement ce que peut apporter l'etude des processus stochasitques dans ce domaine. Chemin faisant, cela permet d'aborder, dans des cas relativement simples, des techniques variees utilisees dans l'etude des processus stochastiques, tout en conservant l'esprit des demonstrations generales.

Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Rado. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field.

The fourth edition...

The book analyzes how modern portfolio theory and dynamic term structure models can be applied to government bond portfolio optimization problems. The author studies the necessary adjustments, examines the models with regard to the plausibility of their results and compares the outcomes to portfolio selection techniques used by practitioners. Both single-period and continuous-time bond portfolio optimization problems are considered.