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Author: Arieh Iserles
Publisher: Cambridge University Press
Published: 2001-08-23
Total Pages: 570
ISBN-13: 9780521803120
DOWNLOAD EBOOKAn annual volume presenting substantive survey articles in numerical analysis and scientific computing.
Author: Franco Giannessi
Publisher: Springer Science & Business Media
Published: 2007-03-06
Total Pages: 1163
ISBN-13: 0387242767
DOWNLOAD EBOOKThis Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
Author: Arieh Iserles
Publisher: Cambridge University Press
Published: 2004-06-03
Total Pages: 450
ISBN-13: 9780521838115
DOWNLOAD EBOOKAn annual volume presenting substantive survey articles in numerical mathematics and scientific computing.
Author: Joseph A. Ball
Publisher: Springer Science & Business Media
Published: 2011-02-09
Total Pages: 624
ISBN-13: 3034601581
DOWNLOAD EBOOKThis is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Author: A. Iserles
Publisher: Cambridge University Press
Published: 2008-06-12
Total Pages: 424
ISBN-13: 9780521516426
DOWNLOAD EBOOKA high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author: Arieh Iserles
Publisher: Cambridge University Press
Published: 2010-05-27
Total Pages: 614
ISBN-13: 9780521192842
DOWNLOAD EBOOKA high-impact, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author: Gabriel R. Barrenechea
Publisher: Springer Nature
Published: 2020-08-11
Total Pages: 254
ISBN-13: 3030418006
DOWNLOAD EBOOKThis volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.
Author: Taeyoung Lee
Publisher: Springer
Published: 2017-08-14
Total Pages: 561
ISBN-13: 3319569538
DOWNLOAD EBOOKThis book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
Author: Thomas Apel
Publisher: Springer
Published: 2019-06-28
Total Pages: 436
ISBN-13: 3030142442
DOWNLOAD EBOOKFinite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.
Author: Gerhard Zumbusch
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 215
ISBN-13: 3322800636
DOWNLOAD EBOOKMain aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.
