Linear Algebra for Computational Sciences and Engineering

Author: Ferrante Neri

Publisher: Springer

ISBN: 3319403419

Category: Computers

Page: 464

View: 2817

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.

Applications of Geometric Algebra in Computer Science and Engineering

Author: Leo Dorst,Chris Doran,Joan Lasenby

Publisher: Springer Science & Business Media

ISBN: 146120089X

Category: Mathematics

Page: 478

View: 1238

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.

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: 6078

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.

Computational Science and Engineering

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780961408817

Category: Computers

Page: 750

View: 5447

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

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: 7710

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.

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: 7773

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 in 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.

Linear Algebra for Mathematics, Science, and Engineering

Author: Edward M. Landesman,Magnus R. Hestenes

Publisher: N.A


Category: Mathematics

Page: 551

View: 1079

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.

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: 1577

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.

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: 4623

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.

A Tutorial on Elliptic PDE Solvers and Their Parallelization

Author: Craig C. Douglas,Gundolf Haase,Ulrich Langer

Publisher: SIAM

ISBN: 9780898718171

Category: Differential equations, Elliptic

Page: 135

View: 9956

This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.

Linear Algebra and Probability for Computer Science Applications

Author: Ernest Davis

Publisher: CRC Press

ISBN: 1466501553

Category: Mathematics

Page: 431

View: 5965

Based on the author’s course at NYU, Linear Algebra and Probability for Computer Science Applications gives an introduction to two mathematical fields that are fundamental in many areas of computer science. The course and the text are addressed to students with a very weak mathematical background. Most of the chapters discuss relevant MATLAB® functions and features and give sample assignments in MATLAB; the author’s website provides the MATLAB code from the book. After an introductory chapter on MATLAB, the text is divided into two sections. The section on linear algebra gives an introduction to the theory of vectors, matrices, and linear transformations over the reals. It includes an extensive discussion on Gaussian elimination, geometric applications, and change of basis. It also introduces the issues of numerical stability and round-off error, the discrete Fourier transform, and singular value decomposition. The section on probability presents an introduction to the basic theory of probability and numerical random variables; later chapters discuss Markov models, Monte Carlo methods, information theory, and basic statistical techniques. The focus throughout is on topics and examples that are particularly relevant to computer science applications; for example, there is an extensive discussion on the use of hidden Markov models for tagging text and a discussion of the Zipf (inverse power law) distribution. Examples and Programming Assignments The examples and programming assignments focus on computer science applications. The applications covered are drawn from a range of computer science areas, including computer graphics, computer vision, robotics, natural language processing, web search, machine learning, statistical analysis, game playing, graph theory, scientific computing, decision theory, coding, cryptography, network analysis, data compression, and signal processing. Homework Problems Comprehensive problem sections include traditional calculation exercises, thought problems such as proofs, and programming assignments that involve creating MATLAB functions.

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: 3442

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: 4658

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

Theory and Computation of Electromagnetic Fields

Author: Jian-Ming Jin

Publisher: John Wiley & Sons

ISBN: 111910808X

Category: Science

Page: 744

View: 2837

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.

Who's Who in Computational Science and Engineering

Author: Saxe-Coburg Publications

Publisher: N.A

ISBN: 9781874672180

Category: Biography & Autobiography

Page: 354

View: 7801

The achievements and biographical details of nearly 1,500 key researchers and practitioners in the fields of computational mechanics, applied mathematics, computer science, artificial intelligence, aerospace, aeronautical, chemical, civil, environmental, mechanical, and structural engineering are included in this directory.

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: 9813

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

Advances in Electrical Engineering and Computational Science

Author: Len Gelman

Publisher: Springer Science & Business Media

ISBN: 9048123119

Category: Technology & Engineering

Page: 726

View: 6851

Advances in Electrical Engineering and Computational Science contains sixty-one revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Control Engineering, Network Management, Wireless Networks, Biotechnology, Signal Processing, Computational Intelligence, Computational Statistics, Internet Computing, High Performance Computing, and industrial applications. Advances in Electrical Engineering and Computational Science will offer the state of art of tremendous advances in electrical engineering and computational science and also serve as an excellent reference work for researchers and graduate students working with/on electrical engineering and computational science.

Computational Science - ICCS 2001

International Conference, San Francisco, CA, USA, May 28-30, 2001. Proceedings

Author: Vassil N. Alexandrov,Jack J. Dongarra,Benjoe A. Juliano,Rene S. Renner,C.J.Kenneth Tan

Publisher: Springer Science & Business Media

ISBN: 3540422331

Category: Computers

Page: 1081

View: 8909

LNCS volumes 2073 and 2074 contain the proceedings of the International Conference on Computational Science, ICCS 2001, held in San Francisco, California, May 27-31, 2001. The two volumes consist of more than 230 contributed and invited papers that reflect the aims of the conference to bring together researchers and scientists from mathematics and computer science as basic computing disciplines, researchers from various application areas who are pioneering advanced application of computational methods to sciences such as physics, chemistry, life sciences, and engineering, arts and humanitarian fields, along with software developers and vendors, to discuss problems and solutions in the area, to identify new issues, and to shape future directions for research, as well as to help industrial users apply various advanced computational techniques.

Advances in Computer Science and Information Engineering

Author: David Jin,Sally Lin

Publisher: Springer Science & Business Media

ISBN: 3642302238

Category: Computers

Page: 715

View: 1860

CSIE2012 is an integrated conference concentrating its focus on Computer Science and Information Engineering . In the proceeding, you can learn much more knowledge about Computer Science and Information Engineering of researchers from all around the world. The main role of the proceeding is to be used as an exchange pillar for researchers who are working in the mentioned fields. In order to meet the high quality of Springer, AISC series, the organization committee has made their efforts to do the following things. Firstly, poor quality paper has been refused after reviewing course by anonymous referee experts. Secondly, periodically review meetings have been held around the reviewers about five times for exchanging reviewing suggestions. Finally, the conference organizers had several preliminary sessions before the conference. Through efforts of different people and departments, the conference will be successful and fruitful.