Accuracy and Stability of Numerical Algorithms

Accuracy and Stability of Numerical Algorithms PDF Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710

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Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Accuracy and Stability of Numerical Algorithms

Accuracy and Stability of Numerical Algorithms PDF Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710

Get Book Here

Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Recent Research in Numerical Methods at the National Meterorological Center

Recent Research in Numerical Methods at the National Meterorological Center PDF Author: Ronald D. McPherson
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 44

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Book Description


Protein Structure

Protein Structure PDF Author: Eshel Faraggi
Publisher: BoD – Books on Demand
ISBN: 9535105558
Category : Science
Languages : en
Pages : 412

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Book Description
Since the dawn of recorded history, and probably even before, men and women have been grasping at the mechanisms by which they themselves exist. Only relatively recently, did this grasp yield anything of substance, and only within the last several decades did the proteins play a pivotal role in this existence. In this expose on the topic of protein structure some of the current issues in this scientific field are discussed. The aim is that a non-expert can gain some appreciation for the intricacies involved, and in the current state of affairs. The expert meanwhile, we hope, can gain a deeper understanding of the topic.

Domain Decomposition Methods in Science and Engineering

Domain Decomposition Methods in Science and Engineering PDF Author: Ralf Kornhuber
Publisher: Springer Science & Business Media
ISBN: 3540268251
Category : Mathematics
Languages : en
Pages : 686

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Book Description
Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.

Numerical Weather Prediction Activities

Numerical Weather Prediction Activities PDF Author: United States. National Weather Service
Publisher:
ISBN:
Category : Meteorological instruments
Languages : en
Pages : 46

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Book Description


Numerical Weather Prediction Activities

Numerical Weather Prediction Activities PDF Author: National Meteorological Center (U.S.)
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 374

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Book Description


Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications

Simplified And Highly Stable Lattice Boltzmann Method: Theory And Applications PDF Author: Zhen Chen
Publisher: World Scientific
ISBN: 9811228515
Category : Science
Languages : en
Pages : 275

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Book Description
This unique professional volume is about the recent advances in the lattice Boltzmann method (LBM). It introduces a new methodology, namely the simplified and highly stable lattice Boltzmann method (SHSLBM), for constructing numerical schemes within the lattice Boltzmann framework. Through rigorous mathematical derivations and abundant numerical validations, the SHSLBM is found to outperform the conventional LBM in terms of memory cost, boundary treatment and numerical stability.This must-have title provides every necessary detail of the SHSLBM and sample codes for implementation. It is a useful handbook for scholars, researchers, professionals and students who are keen to learn, employ and further develop this novel numerical method.

Research Progress and Plans

Research Progress and Plans PDF Author: United States. Weather Bureau
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 160

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Book Description


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 240

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Book Description


Current Trends in Theoretical Computer Science

Current Trends in Theoretical Computer Science PDF Author: Gheorghe P?un
Publisher: World Scientific
ISBN: 9812562494
Category : Computers
Languages : en
Pages : 1319

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Book Description
This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000OCo2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, OC Algorithms and ComplexityOCO and OC Formal Models and SemanticsOCO, reflecting the traditional division of the field. The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science. Contents: Vol 1: Algorithms; Computational Complexity; Distributed Computing; Natural Computing; Vol 2: Formal Specification; Logic in Computer Science; Concurrency; Formal Language Theory. Readership: Upper level undergraduates, graduate students and researchers in theoretical computer science and biocomputing."