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Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 536 pages
File Size : 46,7 Mb
Release : 2003-09-15
Category : Juvenile Nonfiction
ISBN : 0521825237
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.
Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 584 pages
File Size : 50,5 Mb
Release : 2005-06-30
Category : Mathematics
ISBN : 0521858070
A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 614 pages
File Size : 41,8 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 0521192846
A 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
Page : 658 pages
File Size : 52,7 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 0521868157
A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author : Francisco Chinesta,Serge Cescotto,Elias Cueto,Philippe Lorong
Publisher : John Wiley & Sons
Page : 195 pages
File Size : 52,5 Mb
Release : 2013-03-04
Category : Mathematics
ISBN : 9781118616925
Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science (also called scientific computing) as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science. This book presents a recent state of the art on the foundations and applications of the meshless natural element method in computational mechanics, including structural mechanics and material forming processes involving solids and Newtonian and non-Newtonian fluids.
Author : A. Iserles
Publisher : Cambridge University Press
Page : 424 pages
File Size : 51,8 Mb
Release : 2008-06-12
Category : Mathematics
ISBN : 0521516420
A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 52,9 Mb
Release : 2009-02-11
Category : Computers
ISBN : 9783540888574
Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.
Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 488 pages
File Size : 53,6 Mb
Release : 2007-06-18
Category : Mathematics
ISBN : 0521877431
A high-impact factor, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Author : Lorenz Biegler,George Biros,Omar Ghattas,Matthias Heinkenschloss,David Keyes,Bani Mallick,Luis Tenorio,Bart van Bloemen Waanders,Karen Willcox,Youssef Marzouk
Publisher : John Wiley & Sons
Page : 403 pages
File Size : 52,6 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9781119957584
This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: Brings together the perspectives of researchers in areas of inverse problems and data assimilation. Assesses the current state-of-the-art and identify needs and opportunities for future research. Focuses on the computational methods used to analyze and simulate inverse problems. Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.
Author : M. A. H. Dempster,Juho Kanniainen,John Keane,Erik Vynckier
Publisher : CRC Press
Page : 637 pages
File Size : 50,7 Mb
Release : 2018-02-21
Category : Computers
ISBN : 9781482299670
High-Performance Computing (HPC) delivers higher computational performance to solve problems in science, engineering and finance. There are various HPC resources available for different needs, ranging from cloud computing– that can be used without much expertise and expense – to more tailored hardware, such as Field-Programmable Gate Arrays (FPGAs) or D-Wave’s quantum computer systems. High-Performance Computing in Finance is the first book that provides a state-of-the-art introduction to HPC for finance, capturing both academically and practically relevant problems.
Author : Uwe Naumann,Olaf Schenk
Publisher : CRC Press
Page : 584 pages
File Size : 47,9 Mb
Release : 2012-01-25
Category : Computers
ISBN : 9781439827369
Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures. It includes contributions from international researchers who are pioneers in designing software and applications for high-performance computing systems
Author : Kendall Atkinson,Weimin Han,David E. Stewart
Publisher : John Wiley & Sons
Page : 270 pages
File Size : 54,5 Mb
Release : 2009-02-09
Category : Mathematics
ISBN : 9780470042946
A concise introduction to numerical methodsand the mathematical framework neededto understand their performance Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringing together and categorizing different types of problems in order to help readers comprehend the applications of ordinary differential equations. In addition, the authors' collective academic experience ensures a coherent and accessible discussion of key topics, including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to test and build their knowledge of the presented methods, and a related Web site features MATLAB® programs that facilitate the exploration of numerical methods in greater depth. Detailed references outline additional literature on both analytical and numerical aspects of ordinary differential equations for further exploration of individual topics. Numerical Solution of Ordinary Differential Equations is an excellent textbook for courses on the numerical solution of differential equations at the upper-undergraduate and beginning graduate levels. It also serves as a valuable reference for researchers in the fields of mathematics and engineering.
Author : Ivan G. Graham,Thomas Y. Hou,Omar Lakkis,Robert Scheichl
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 49,8 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9783642220616
The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multi-phase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current state-of-the-art in the numerical analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields.
Author : Hans Georg Bock,Xuan Phu Hoang,Rolf Rannacher,Johannes P. Schlöder
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 53,5 Mb
Release : 2012-02-03
Category : Computers
ISBN : 9783642257070
This proceedings volume contains a selection of papers presented at the Fourth International Conference on High Performance Scientific Computing held at the Hanoi Institute of Mathematics, Vietnamese Academy of Science and Technology (VAST), March 2-6, 2009. The conference was organized by the Hanoi Institute of Mathematics, the Interdisciplinary Center for Scientific Computing (IWR), Heidelberg, and its Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences, and Ho Chi Minh City University of Technology. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and control, parallel computing, software development, applications of scientific computing in physics, mechanics, biology and medicine, engineering, hydrology problems, transport, communication networks, production scheduling, industrial and commercial problems.
Author : Christian H. Bischof,H. Martin Bücker,Paul Hovland,Uwe Naumann,Jean Utke
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 47,9 Mb
Release : 2008-08-17
Category : Computers
ISBN : 9783540689423
The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.