Mathematics In Computational Science And Engineering

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Mathematics in Computational Science and Engineering

Ramakant Bhardwaj,Jyoti Mishra,Satyendra Narayan,Gopalakrishnan Suseendran
Mathematics in Computational Science and Engineering Book PDF

Author : Ramakant Bhardwaj,Jyoti Mishra,Satyendra Narayan,Gopalakrishnan Suseendran
Publisher : John Wiley & Sons
Page : 452 pages
File Size : 48,6 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9781119777151

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Mathematics in Computational Science and Engineering by Ramakant Bhardwaj,Jyoti Mishra,Satyendra Narayan,Gopalakrishnan Suseendran Pdf

MATHEMATICS IN COMPUTATIONAL SCIENCE AND ENGINEERING This groundbreaking new volume, written by industry experts, is a must-have for engineers, scientists, and students across all engineering disciplines working in mathematics and computational science who want to stay abreast with the most current and provocative new trends in the industry. Applied science and engineering is the application of fundamental concepts and knowledge to design, build and maintain a product or a process, which provides a solution to a problem and fulfills a need. This book contains advanced topics in computational techniques across all the major engineering disciplines for undergraduate, postgraduate, doctoral and postdoctoral students. This will also be found useful for professionals in an industrial setting. It covers the most recent trends and issues in computational techniques and methodologies for applied sciences and engineering, production planning, and manufacturing systems. More importantly, it explores the application of computational techniques and simulations through mathematics in the field of engineering and the sciences. Whether for the veteran engineer, scientist, student, or other industry professional, this volume is a must-have for any library. Useful across all engineering disciplines, it is a multifactional tool that can be put to use immediately in practical applications. This groundbreaking new volume: Includes detailed theory with illustrations Uses an algorithmic approach for a unique learning experience Presents a brief summary consisting of concepts and formulae Is pedagogically designed to make learning highly effective and productive Is comprised of peer-reviewed articles written by leading scholars, researchers and professors AUDIENCE: Engineers, scientists, students, researchers, and other professionals working in the field of computational science and mathematics across multiple disciplines

Open Problems in Mathematics and Computational Science

Çetin Kaya Koç
Open Problems in Mathematics and Computational Science Book PDF

Author : Çetin Kaya Koç
Publisher : Springer
Page : 439 pages
File Size : 40,5 Mb
Release : 2015-03-25
Category : Computers
ISBN : 9783319106830

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Open Problems in Mathematics and Computational Science by Çetin Kaya Koç Pdf

This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions. The authors feel a strong motivation to excite deep research and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Mathematical and Computational Approaches in Advancing Modern Science and Engineering Book PDF

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 44,6 Mb
Release : 2016-08-10
Category : Computers
ISBN : 9783319303796

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Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri Pdf

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Mathematics for Computer Science

Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Mathematics for Computer Science Book PDF

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 55,9 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Creators of Mathematical and Computational Sciences

Ravi P Agarwal,Syamal K Sen
Creators of Mathematical and Computational Sciences Book PDF

Author : Ravi P Agarwal,Syamal K Sen
Publisher : Springer
Page : 514 pages
File Size : 40,9 Mb
Release : 2014-11-11
Category : Mathematics
ISBN : 9783319108704

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Creators of Mathematical and Computational Sciences by Ravi P Agarwal,Syamal K Sen Pdf

​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Computational Science and Engineering

Gilbert Strang
Computational Science and Engineering Book PDF

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 750 pages
File Size : 45,5 Mb
Release : 2007-11-01
Category : Computers
ISBN : 0961408812

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Computational Science and Engineering by Gilbert Strang Pdf

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.

Computational Mathematics in Engineering and Applied Science

W.E. Schiesser
Computational Mathematics in Engineering and Applied Science Book PDF

Author : W.E. Schiesser
Publisher : CRC Press
Page : 600 pages
File Size : 50,5 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9781498710664

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Computational Mathematics in Engineering and Applied Science by W.E. Schiesser Pdf

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Interdisciplinary Topics in Applied Mathematics Modeling and Computational Science Book PDF

Author : Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Publisher : Springer
Page : 555 pages
File Size : 55,5 Mb
Release : 2015-07-03
Category : Computers
ISBN : 9783319123073

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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science by Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev Pdf

The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.

Linear Algebra for Computational Sciences and Engineering

Ferrante Neri
Linear Algebra for Computational Sciences and Engineering Book PDF

Author : Ferrante Neri
Publisher : Springer
Page : 574 pages
File Size : 46,9 Mb
Release : 2019-07-26
Category : Computers
ISBN : 9783030213213

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Linear Algebra for Computational Sciences and Engineering by Ferrante Neri Pdf

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.

Recent Trends in Computational Science and Engineering

Serdar Celebi
Recent Trends in Computational Science and Engineering Book PDF

Author : Serdar Celebi
Publisher : BoD – Books on Demand
Page : 160 pages
File Size : 55,8 Mb
Release : 2018-05-30
Category : Computers
ISBN : 9781789231922

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Recent Trends in Computational Science and Engineering by Serdar Celebi Pdf

Computational science and engineering (CSE) is a broad multidisciplinary and integrative area including a variety of applications in science, engineering, numerical methods, applied mathematics, and computer science disciplines. The book covers a collection of different types of applications and visions to various disciplinary key aspects, which comprises both problem-driven and methodology-driven approaches at the same time. These selected applications are: Computational and information technologies for numerical models and large unstructured data processing Evolution of matrix computations and new concepts in computing Inverse problems covering both classical and newer approaches Integro-differential scheme (IDS) that combines finite volume and finite difference methods Smart city wireless networks Signal processing methods

Recent Progress in Computational Sciences and Engineering (2 vols)

Theodore Simos
Recent Progress in Computational Sciences and Engineering 2 vols Book PDF

Author : Theodore Simos
Publisher : CRC Press
Page : 1600 pages
File Size : 55,8 Mb
Release : 2019-05-07
Category : Computers
ISBN : 9781466564510

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Recent Progress in Computational Sciences and Engineering (2 vols) by Theodore Simos Pdf

This volume brings together selected contributed papers presented at the International Conference of Computational Methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The conference aims to bring together computational scientists from several disciplines in order to share methods and ideas. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a conference on computational science and its applications to science and engineering. Topics of general interest are: Computational Mathematics, Theoretical Physics and Theoretical Chemistry. Computational Engineering and Mechanics, Computational Biology and Medicine, Computational Geosciences and Meteorology, Computational Economics and Finance, Scientific Computation. High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Numerical Algorithms, Modelling and Simulation of Complex System, Web-based Simulation and Computing, Grid-based Simulation and Computing, Fuzzy Logic, Hybrid Computational Methods, Data Mining, Information Retrieval and Virtual Reality, Reliable Computing, Image Processing, Computational Science and Education etc. More than 800 extended abstracts have been submitted for consideration for presentation in ICCMSE 2005. From these 500 have been selected after international peer review by at least two independent reviewers.

Computational Problems in Science and Engineering

Nikos Mastorakis,Aida Bulucea,George Tsekouras
Computational Problems in Science and Engineering Book PDF

Author : Nikos Mastorakis,Aida Bulucea,George Tsekouras
Publisher : Springer
Page : 491 pages
File Size : 55,9 Mb
Release : 2015-10-26
Category : Technology & Engineering
ISBN : 9783319157658

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Computational Problems in Science and Engineering by Nikos Mastorakis,Aida Bulucea,George Tsekouras Pdf

This book provides readers with modern computational techniques for solving variety of problems from electrical, mechanical, civil and chemical engineering. Mathematical methods are presented in a unified manner, so they can be applied consistently to problems in applied electromagnetics, strength of materials, fluid mechanics, heat and mass transfer, environmental engineering, biomedical engineering, signal processing, automatic control and more.

Insight Through Computing

Charles F. Van Loan,K.-Y. Daisy Fan
Insight Through Computing Book PDF

Author : Charles F. Van Loan,K.-Y. Daisy Fan
Publisher : SIAM
Page : 437 pages
File Size : 46,5 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780898717648

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Insight Through Computing by Charles F. Van Loan,K.-Y. Daisy Fan Pdf

This introduction to computer-based problem-solving using the MATLAB environment is highly recommended for students wishing to learn the concepts and develop the programming skills that are fundamental to computational science and engineering (CSE). Through a 'teaching by examples' approach, the authors pose strategically chosen problems to help first-time programmers learn these necessary concepts and skills. Each section formulates a problem and then introduces those new MATLAB language features that are necessary to solve it. This approach puts problem-solving and algorithmic thinking first and syntactical details second. Each solution is followed by a 'talking point' that concerns some related, larger issue associated with CSE. Collectively, the worked examples, talking points, and 300+ homework problems build intuition for the process of discretization and an appreciation for dimension, inexactitude, visualization, randomness, and complexity. This sets the stage for further coursework in CSE areas.

Verification of Computer Codes in Computational Science and Engineering

Patrick Knupp,Kambiz Salari
Verification of Computer Codes in Computational Science and Engineering Book PDF

Author : Patrick Knupp,Kambiz Salari
Publisher : CRC Press
Page : 161 pages
File Size : 43,5 Mb
Release : 2002-10-29
Category : Computers
ISBN : 9781420035421

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Verification of Computer Codes in Computational Science and Engineering by Patrick Knupp,Kambiz Salari Pdf

How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would prevent correct solutions from being computed. Verification of Computer Codes in Computational Science and Engineering sets forth a powerful alternative called OVMSP: Order-Verification via the Manufactured Solution Procedure. This procedure has two primary components: using the Method of Manufactured Exact Solutions to create analytic solutions to the fully-general differential equations solved by the code and using grid convergence studies to confirm the order-of-accuracy. The authors present a step-by-step procedural guide to OVMSP implementation and demonstrate its effectiveness. Properly implemented, OVMSP offers an exciting opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. Verification of Computer Codes in Computational Science and Engineering shows you how this can be done. The treatment is clear, concise, and suitable both for developers of production quality simulation software and as a reference for computational science and engineering professionals.

The Mathematical Sciences in 2025

National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
The Mathematical Sciences in 2025 Book PDF

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 223 pages
File Size : 44,5 Mb
Release : 2013-06-13
Category : Mathematics
ISBN : 9780309284578

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The Mathematical Sciences in 2025 by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.