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Nonlinear Smoothing and Multiresolution Analysis
This monograph presents a new theory for analysis, comparison and design of nonlinear smoothers, linking to established practices. Although a part of mathematical morphology, the special properties yield many simple, powerful and illuminating results leading to a novel nonlinear multiresolution analysis with pulses that may be as natural to vision as wavelet analysis is to acoustics. Similar to median transforms, they have the advantages of a supporting theory, computational simplicity, remarkable consistency, full trend preservation, and a Parceval-type identity.
Multiscale Modeling : A Bayesian Perspective
The book is aimed at statisticians, applied mathematicians, and engineers working on problems dealing with multiscale processes in time and/or space, such as in engineering, finance, and environmetrics. The book will also be of interest to those working on multiscale computation research. The main prerequisites are knowledge of Bayesian statistics and basic Markov chain Monte Carlo methods. A number of real-world examples are thoroughly analyzed in order to demonstrate the methods and to assist the readers in applying these methods to their own work. To further assist readers, the authors are making source code (for R) available for many of the basic methods discussed herein.
Frontiers of Numerical Analysis : Durham 2004
Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.
Computational Contact Mechanics
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.
Computational Contact Mechanics
This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields like civil engineering, car design, aeronautics, metal forming, or biomechanics. Boundary value problems involving contact are of great importance in industrial applications in engineering such as bearings, metal forming processes, rubber seals, drilling problems, crash analysis of cars, rolling contact between car tires and the road, cooling of electronic devices... Other applications are related to biomechanical engineering design where human joints, implants or teeth are of consideration. Due to this variety, contact problems are today combined either with large elastic or inelastic deformations including time dependent responses. Thermal coupling also might have to be considered. Even stability behaviour has to be linked to contact.
Material Modeling in Finite Element Analysis
Presents some specific problems including the metal-forming process, combustion room, Mullins effect of rubber tires, viscoelasticity of liver soft tissues, small punch test, tunnel excavation, slope stability, concrete slump test, orthodontic wire, and piezoelectric microaccelerometer.
IUTAM Symposium on Computational Methods in Contact Mechanics ; Proceedings of the IUTAM Symposium held in Hannover, Germany, November 5-8, 2006
This book contains the proceedings of the IUTAM Symposium held in Hanover, Germany, in November 2006. Coverage includes new mathematical techniques like multi-level approaches, new discretization techniques like the mortar-method, advanced applications of unilateral contact to masonry structures, decohesion analysis and tractive rolling of tires. It provides a good overview of modern techniques and state-of-the-art discretizations schemes applied in contact mechanics. Coverage will stimulate future collaboration in science related to computational contact mechanics and in the organization of minisymposia and workshops in the area contact mechanics.
Complex Effects in Large Eddy Simulations
This volume contains a collection of expert views on the state of the art in Large Eddy Simulation (LES) and its application to complex ?ows. Much of the material in this volume was inspired by contributions that were originally presented at the symposium on Complex E?ects in Large Eddy Simulation held in Lemesos (Limassol), Cyprus, between September 21st and 24th, 2005.
Algèbre, Chapitre 4 à 7 = Algebra, Chapter 4 to 7
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. Deals in particular with extensions of fields and Galois theory. It includes the chaptires: 4. Polynomials and rational fractions; 5. Commutative bodies 6. Orderly groups and bodies; 7. Modules on the main rings
Advances in Multiresolution for Geometric Modelling
Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects.The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area.
