# Search Results for "linear-algebra-for-computational-sciences-and-engineering"

## Linear Algebra for Computational Sciences and Engineering

**Author**: Ferrante Neri**Publisher:**Springer**ISBN:**3319403419**Category:**Computers**Page:**464**View:**5816

This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory. It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who need a theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to study and understand linear algebra.

## Parallel Computing: Accelerating Computational Science and Engineering (CSE)

**Author**: M. Bader,A. Bode,H.-J. Bungartz**Publisher:**IOS Press**ISBN:**1614993815**Category:**Computers**Page:**872**View:**2863

Parallel computing has been the enabling technology of high-end machines for many years. Now, it has finally become the ubiquitous key to the efficient use of any kind of multi-processor computer architecture, from smart phones, tablets, embedded systems and cloud computing up to exascale computers. _x000D_ This book presents the proceedings of ParCo2013 – the latest edition of the biennial International Conference on Parallel Computing – held from 10 to 13 September 2013, in Garching, Germany. The conference focused on several key parallel computing areas. Themes included parallel programming models for multi- and manycore CPUs, GPUs, FPGAs and heterogeneous platforms, the performance engineering processes that must be adapted to efficiently use these new and innovative platforms, novel numerical algorithms and approaches to large-scale simulations of problems in science and engineering._x000D_ The conference programme also included twelve mini-symposia (including an industry session and a special PhD Symposium), which comprehensively represented and intensified the discussion of current hot topics in high performance and parallel computing. These special sessions covered large-scale supercomputing, novel challenges arising from parallel architectures (multi-/manycore, heterogeneous platforms, FPGAs), multi-level algorithms as well as multi-scale, multi-physics and multi-dimensional problems._x000D_ It is clear that parallel computing – including the processing of large data sets (“Big Data”) – will remain a persistent driver of research in all fields of innovative computing, which makes this book relevant to all those with an interest in this field.

## Numerical Methods for Least Squares Problems

**Author**: Ake BjÓorck**Publisher:**SIAM**ISBN:**0898713609**Category:**Mathematics**Page:**408**View:**6691

The method of least squares: the principal tool for reducing the influence of errors when fitting models to given observations.

## Computational Science and Engineering

**Author**: Gilbert Strang**Publisher:**Wellesley-Cambridge Press**ISBN:**9780961408817**Category:**Computers**Page:**750**View:**2840

Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT's OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang's 18.085 courses at MIT, are provided at math.mit.edu/cse.

## Graph Algorithms in the Language of Linear Algebra

**Author**: Jeremy Kepner,John Gilbert**Publisher:**SIAM**ISBN:**0898719909**Category:**Mathematics**Page:**375**View:**5951

An introduction to graph algorithms accessible to those without a computer science background.

## High Performance Computing for Computational Science - VECPAR 2008

*8th International Conference, Toulouse, France, June 24-27, 2008. Revised Selected Papers*

**Author**: José M. Laginha M. Palma,Patrick Amestoy,Michel Daydé,Marta Mattoso,Joao Correira Lopes**Publisher:**Springer Science & Business Media**ISBN:**3540928588**Category:**Computers**Page:**596**View:**6182

VECPAR is an international conference series dedicated to the promotion and advancement of all aspects of high-performance computing for computational science, as an industrial technique and academic discipline, extending the fr- tier of both the state of the art and the state of practice. The audience and participants of VECPAR are researchers in academic departments, government laboratories and industrial organizations. There is now a permanent website for the conference series inhttp://vecpar.fe.up.pt where the history of the conference is described. The8theditionofVECPARwasorganizedinToulouse(France),June24–27, 2008. It was the third time the conference was celebrated outside Porto after Valencia (Spain) in2004andRio deJaneiro(Brazil)in 2006. Theconferenceprogrammeconsistedof6invitedtalksand53acceptedpapers out of 73 contributions that were initially submitted. The major themes are divided into: – Large-ScaleSimulationsandNumericalAlgorithmsinComputerScienceand Engineering (aerospace, earth, environment, ?nance, geoscience) – Computing in Healthcare and Biosciences – Multiscale and Multiphysics Problems – Cluster Computing and Grid Computing – Data-Centric and High-Productivity Computing – Cooperative Engineering – Problem-Solving Environments – Imaging and Graphics Twoworkshops,inadditiontotutorials,wereorganizedbeforetheconference: HPDGrid 2008—InternationalWorkshoponHigh-PerformanceDataMana- ment in Grid Environments on June 24 and Sparse Days at CERFACS on June 23 and 24. The most signi?cant contributions are made available in the present book, edited after the conference and after a second review of all orally presented papers at VECPAR 2008 and at the workshops.

## Matrix Analysis for Scientists and Engineers

**Author**: Alan J. Laub**Publisher:**SIAM**ISBN:**0898715768**Category:**Mathematics**Page:**157**View:**5204

"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.

## Applications of Geometric Algebra in Computer Science and Engineering

**Author**: Leo Dorst,Chris Doran,Joan Lasenby**Publisher:**Springer Science & Business Media**ISBN:**9780817642679**Category:**Mathematics**Page:**478**View:**1165

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

## Geometric Algebra with Applications in Science and Engineering

**Author**: Eduardo Bayro Corrochano,Garret Sobczyk**Publisher:**Springer Science & Business Media**ISBN:**9780817641993**Category:**Computers**Page:**592**View:**411

This book is addressed to a broad audience of cyberneticists, computer scientists, engineers, applied physicists and applied mathematicians. The book offers several examples to clarify the importance of geometric algebra in signal and image processing, filtering and neural computing, computer vision, robotics and geometric physics. The contributions of this book will help the reader to greater understand the potential of geometric algebra for the design and implementation of real time artifical systems.

## Computational Matrix Analysis

**Author**: Alan J. Laub**Publisher:**SIAM**ISBN:**9781611972214**Category:**Matrix analytic methods**Page:**156**View:**4185

Using an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms.

## Computational Error and Complexity in Science and Engineering

*Computational Error and Complexity*

**Author**: Vangipuram Lakshmikantham,Syamal Kumar Sen**Publisher:**Elsevier**ISBN:**9780080459516**Category:**Computers**Page:**260**View:**8618

The book “Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any real-world implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering. Key Features: - Describes precisely ready-to-use computational error and complexity - Includes simple easy-to-grasp examples wherever necessary. - Presents error and complexity in error-free, parallel, and probabilistic methods. - Discusses deterministic and probabilistic methods with error and complexity. - Points out the scope and limitation of mathematical error-bounds. - Provides a comprehensive up-to-date bibliography after each chapter. · Describes precisely ready-to-use computational error and complexity · Includes simple easy-to-grasp examples wherever necessary. · Presents error and complexity in error-free, parallel, and probabilistic methods. · Discusses deterministic and probabilistic methods with error and complexity. · Points out the scope and limitation of mathematical error-bounds. · Provides a comprehensive up-to-date bibliography after each chapter.

## Numerical Linear Algebra in Signals, Systems and Control

**Author**: Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray**Publisher:**Springer Science & Business Media**ISBN:**9789400706026**Category:**Technology & Engineering**Page:**480**View:**3995

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

## Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003)

*Kastoria, Greece, September 12-16*

**Author**: T. E. Simos**Publisher:**World Scientific**ISBN:**9789812704658**Category:**Electronic books**Page:**716**View:**2455

In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc.

## Linear Algebra for Mathematics, Science, and Engineering

**Author**: Edward M. Landesman,Magnus R. Hestenes**Publisher:**N.A**ISBN:**N.A**Category:**Mathematics**Page:**551**View:**7118

Presenting the fundamentals of linear algebra, this book progresses from matrix theory to the abstract notions of linear space, and covers eigenvalues and eigenvectors. Applications are shown in each chapter, along with problems and exercises.

## Mathematics for Physical Science and Engineering

*Symbolic Computing Applications in Maple and Mathematica*

**Author**: Frank E. Harris**Publisher:**Academic Press**ISBN:**0128010495**Category:**Mathematics**Page:**944**View:**5989

Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. Clarifies each important concept to students through the use of a simple example and often an illustration Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) Shows how symbolic computing enables solving a broad range of practical problems

## Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra

**Author**: Karl E. Gustafson,Takehisa Abe,Kunio Kuwahara**Publisher:**World Scientific**ISBN:**9789810232139**Category:**Science**Page:**169**View:**1544

Pt. I. Recent developments in computational fluid dynamics. ch. 1. Cavity flow -- ch. 2. Hovering aerodynamics. ch. 3. Capturing correct solutions -- pt. II. Recent developments in mathematical physics. ch. 1. Probabilistic and deterministic description. ch. 2. Scaling theories. ch. 3. Chaos in iterative maps -- pt. III. Recent developments in linear algebra. ch. 1. Operator Trigonometry. ch. 2. Antieigenvalues. ch. 3. Computational linear algebra

## C++ and Object-Oriented Numeric Computing for Scientists and Engineers

**Author**: Daoqi Yang**Publisher:**Springer Science & Business Media**ISBN:**1461301890**Category:**Computers**Page:**440**View:**4119

This book is an easy, concise but fairly complete introduction to ISO/ANSI C++ with special emphasis on object-oriented numeric computation. A user-defined numeric linear algebra library accompanies the book and can be downloaded from the web.

## Theory and Computation of Electromagnetic Fields

**Author**: Jian-Ming Jin**Publisher:**John Wiley & Sons**ISBN:**111910808X**Category:**Science**Page:**744**View:**7210

Reviews the fundamental concepts behind the theory and computation of electromagnetic fields The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell’s equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems. Theory and Computation of Electromagnetic Fields, Second Edition: Provides the foundation necessary for graduate students to learn and understand more advanced topics Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates Covers computational electromagnetics in both frequency and time domains Includes new and updated homework problems and examples Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.

## Mathematical Handbook for Scientists and Engineers

*Definitions, Theorems, and Formulas for Reference and Review*

**Author**: Granino A. Korn,Theresa M. Korn**Publisher:**Courier Corporation**ISBN:**0486320235**Category:**Technology & Engineering**Page:**1152**View:**3357

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

## An Introduction to Inverse Problems with Applications

**Author**: Francisco Duarte Moura Neto,Antônio José da Silva Neto**Publisher:**Springer Science & Business Media**ISBN:**3642325572**Category:**Mathematics**Page:**246**View:**1335

Computational engineering/science uses a blend of applications, mathematical models and computations. Mathematical models require accurate approximations of their parameters, which are often viewed as solutions to inverse problems. Thus, the study of inverse problems is an integral part of computational engineering/science. This book presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4-8 on image restoration, thermal radiation, thermal characterization and heat transfer. “This text does provide a comprehensive introduction to inverse problems and fills a void in the literature”. Robert E White, Professor of Mathematics, North Carolina State University