This book is a collection of lecture notes for the CIME course on Multiscale and Adaptivity : Modeling, Numerics and Applications, held in Cetraro (Italy), in July 2009.Complex systems arise in several physical, chemical, and biological processes, in which length and time scales…
Der Autor beschreibt die Methoden der Funktionalanalysis mit ihren Anwendungen in der Theorie elliptischer Differentialgleichungen. Gleichzeitig bringt er dem Leser die analytischen und funktionalanalytischen Sätze nahe, die für die numerische Approximation elliptischer Differen…
Der Autor beschreibt die Methoden der Funktionalanalysis mit ihren Anwendungen in der Theorie elliptischer Differentialgleichungen. Gleichzeitig bringt er dem Leser die analytischen und funktionalanalytischen Sätze nahe, die für die numerische Approximation elliptischer Differen…
This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functi…
This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on Hig…
This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on Hig…
The papers included in this volume provide an overview about the state-of-the-art in approximative implicitization and various related topics, including both the theoretical basis and the existing computational techniques. The novel idea of approximate implicitization has streng…
The Euclidean shortest path (ESP) problem asks the question: what is the path of minimum length connecting two points in a 2- or 3-dimensional space? Variants of this industrially-significant computational geometry problem also require the path to pass through specified areas an…
One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive te…
This is an introduction to the main ideas and techniques of the field of quantum computation and quantum information. It asks the question: what are the ultimate physical limits to computation and communication?
Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to e…
The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great inter…