The book is devoted to the study of approximate solutions of optimization problems in the presence of computational errors. It contains a number of results on the convergence behavior of algorithms in a Hilbert space, which are known as important tools for solving optimization problems. The research presented in the book is the continuation...
The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been...
Anderson provides a comprehensive summary and review of the mathematical theory of cosmic strings. The subject is not in a state of rapid change so the book is up to date and it is likely to remain so for some time. Although the book is technical and requires a strong mathematical background and an interest in differential geometry, it is well...
Prefaces to sets of essays, such as this one, are often devoted to explaining why publication was delayed or why certain planned essays are missing from the completed book. This Preface is an exception. All of the authors met their deadlines — or near to — and they produced a very close approximation to the volume that the editors...
'What's going to happen next?' Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical...
The aim of this book is to review recent achievements in the theoretical investigations of the electronic structure, optical, magneto-optical (MO), and x-ray magnetic circular dichroism (XMCD) properties of compounds and Multilayered structures.
Chapter 1 of this book is of an introductory character and presents the theoretical...
Presentation of the main approaches developed for a posteriori error estimation in various problems.
Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of...
Layout generation is an important topic in IC design. For digital circuits a lot of research
has been conducted in this area, resulting in a large variety of books and layout generation
tools. However, with the ever increasing frequencies, we are facing now significant analog
types of artifacts in the IC, introduced during the...
This book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. This second edition is a thorough revision, although the main features and structure remain unchanged. It contains many additional applications and results as...
This book introduces students with little or no prior programming experience to the art of computational problem solving using Python and various Python libraries, including PyLab. It provides students with skills that will enable them to make productive use of computational techniques, including some of the tools and techniques of "data...
Simulation of materials at the atomistic level is an important tool in studying microscopic structures and processes. The atomic interactions necessary for the simulations are correctly described by Quantum Mechanics, but the size of systems and the length of processes that can be modelled are still limited. The framework of Gaussian...
Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such...
