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Acta Numerica 2003: Volume 12

Acta Numerica 2003: Volume 12 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521825238
Category : Juvenile Nonfiction
Languages : en
Pages : 536

Book Description
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.

Acta Numerica 2005: Volume 14

Acta Numerica 2005: Volume 14 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521858076
Category : Mathematics
Languages : en
Pages : 584

Book Description
A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Acta Numerica 2007: Volume 16

Acta Numerica 2007: Volume 16 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521877435
Category : Mathematics
Languages : en
Pages : 488

Book Description
A high-impact factor, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Acta Numerica 2010: Volume 19

Acta Numerica 2010: Volume 19 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521192842
Category : Mathematics
Languages : en
Pages : 614

Book Description
A high-impact, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Acta Numerica 2006: Volume 15

Acta Numerica 2006: Volume 15 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521868150
Category : Mathematics
Languages : en
Pages : 658

Book Description
A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

Natural Element Method for the Simulation of Structures and Processes

Natural Element Method for the Simulation of Structures and Processes PDF Author: Francisco Chinesta
Publisher: John Wiley & Sons
ISBN: 1118616928
Category : Mathematics
Languages : en
Pages : 195

Book Description
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.

Acta Numerica 2003: Volume 12

Acta Numerica 2003: Volume 12 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521825238
Category : Juvenile Nonfiction
Languages : en
Pages : 536

Book Description
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.

Numerical Solution of Ordinary Differential Equations

Numerical Solution of Ordinary Differential Equations PDF Author: Kendall Atkinson
Publisher: John Wiley & Sons
ISBN: 047004294X
Category : Mathematics
Languages : en
Pages : 270

Book Description
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.

Large-Scale Inverse Problems and Quantification of Uncertainty

Large-Scale Inverse Problems and Quantification of Uncertainty PDF Author: Lorenz Biegler
Publisher: John Wiley & Sons
ISBN: 1119957583
Category : Mathematics
Languages : en
Pages : 403

Book Description
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.

Multiscale Modeling and Simulation in Science

Multiscale Modeling and Simulation in Science PDF Author: Björn Engquist
Publisher: Springer Science & Business Media
ISBN: 3540888578
Category : Computers
Languages : en
Pages : 332

Book Description
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.

Combinatorial Scientific Computing

Combinatorial Scientific Computing PDF Author: Uwe Naumann
Publisher: CRC Press
ISBN: 1439827354
Category : Computers
Languages : en
Pages : 602

Book Description
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. The book offers a state-of-the-art overview of the latest research, tool development, and applications. It focuses on load balancing and parallelization on high-performance computers, large-scale optimization, algorithmic differentiation of numerical simulation code, sparse matrix software tools, and combinatorial challenges and applications in large-scale social networks. The authors unify these seemingly disparate areas through a common set of abstractions and algorithms based on combinatorics, graphs, and hypergraphs. Combinatorial algorithms have long played a crucial enabling role in scientific and engineering computations and their importance continues to grow with the demands of new applications and advanced architectures. By addressing current challenges in the field, this volume sets the stage for the accelerated development and deployment of fundamental enabling technologies in high-performance scientific computing.