Applied Scientific Computing

Author : Peter R. Turner,Thomas Arildsen,Kathleen Kavanagh
Publisher : Springer
Page : 272 pages
File Size : 47,7 Mb
Release : 2018-07-18
Category : Computers
ISBN : 9783319895758

Get Book

Applied Scientific Computing by Peter R. Turner,Thomas Arildsen,Kathleen Kavanagh Pdf

This easy-to-understand textbook presents a modern approach to learning numerical methods (or scientific computing), with a unique focus on the modeling and applications of the mathematical content. Emphasis is placed on the need for, and methods of, scientific computing for a range of different types of problems, supplying the evidence and justification to motivate the reader. Practical guidance on coding the methods is also provided, through simple-to-follow examples using Python. Topics and features: provides an accessible and applications-oriented approach, supported by working Python code for many of the methods; encourages both problem- and project-based learning through extensive examples, exercises, and projects drawn from practical applications; introduces the main concepts in modeling, python programming, number representation, and errors; explains the essential details of numerical calculus, linear, and nonlinear equations, including the multivariable Newton method; discusses interpolation and the numerical solution of differential equations, covering polynomial interpolation, splines, and the Euler, Runge–Kutta, and shooting methods; presents largely self-contained chapters, arranged in a logical order suitable for an introductory course on scientific computing. Undergraduate students embarking on a first course on numerical methods or scientific computing will find this textbook to be an invaluable guide to the field, and to the application of these methods across such varied disciplines as computer science, engineering, mathematics, economics, the physical sciences, and social science.

Author : B. Rushi Kumar,R. Sivaraj,B. S. R. V. Prasad,M. Nalliah,A. Subramanyam Reddy
Publisher : Springer
Page : 632 pages
File Size : 53,5 Mb
Release : 2019-02-01
Category : Mathematics
ISBN : 9783030011239

Get Book

Applied Mathematics and Scientific Computing by B. Rushi Kumar,R. Sivaraj,B. S. R. V. Prasad,M. Nalliah,A. Subramanyam Reddy Pdf

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences (ICAMS), held at the Vellore Institute of Technology in December 2017. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.

Author : Dianne P. O'Leary
Publisher : SIAM
Page : 376 pages
File Size : 51,9 Mb
Release : 2009-03-19
Category : Mathematics
ISBN : 9780898716665

Get Book

Scientific Computing with Case Studies by Dianne P. O'Leary Pdf

This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.

Author : Jack Dongarra,Kaj Madsen,Jerzy Wasniewski
Publisher : Springer
Page : 1174 pages
File Size : 40,7 Mb
Release : 2006-02-27
Category : Computers
ISBN : 9783540334989

Get Book

Applied Parallel Computing by Jack Dongarra,Kaj Madsen,Jerzy Wasniewski Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.

Author : Eric F. Van de Velde
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 51,6 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781461208495

Get Book

Concurrent Scientific Computing by Eric F. Van de Velde Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific dis ciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe matics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A successful concurrent numerical simulation requires physics and math ematics to develop and analyze the model, numerical analysis to develop solution methods, and computer science to develop a concurrent implemen tation. No single course can or should cover all these disciplines. Instead, this course on concurrent scientific computing focuses on a topic that is not covered or is insufficiently covered by other disciplines: the algorith mic structure of numerical methods.

Author : Peter Deuflhard,Folkmar Bornemann
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215822

Get Book

Scientific Computing with Ordinary Differential Equations by Peter Deuflhard,Folkmar Bornemann Pdf

Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

Author : Michael T. Heath
Publisher : SIAM
Page : 567 pages
File Size : 47,9 Mb
Release : 2018-11-14
Category : Science
ISBN : 9781611975574

Get Book

Scientific Computing by Michael T. Heath Pdf

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Author : Croatia) Conference on Applied Mathematics and Scientific Computing (2nd : 2001 : Dubrovnik
Publisher : Unknown
Page : 350 pages
File Size : 47,8 Mb
Release : 2003
Category : Mathematics
ISBN : OCLC:939471938

Get Book

Applied Mathematics and Scientific Computing by Croatia) Conference on Applied Mathematics and Scientific Computing (2nd : 2001 : Dubrovnik Pdf

Author : Dan Stanescu,Long Lee
Publisher : CRC Press
Page : 241 pages
File Size : 41,7 Mb
Release : 2022-05-01
Category : Mathematics
ISBN : 9780429557934

Get Book

A Gentle Introduction to Scientific Computing by Dan Stanescu,Long Lee Pdf

Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics. Nonetheless, its interdisciplinary character cannot be denied: its methodologies are increasingly used in a wide variety of branches of science and engineering. A Gentle Introduction to Scientific Computing intends to serve a very broad audience of college students across a variety of disciplines. It aims to expose its readers to some of the basic tools and techniques used in computational science, with a view to helping them understand what happens "behind the scenes" when simple tools such as solving equations, plotting and interpolation are used. To make the book as practical as possible, the authors explore their subject both from a theoretical, mathematical perspective and from an implementation-driven, programming perspective. Features Middle-ground approach between theory and implementation. Suitable reading for a broad range of students in STEM disciplines. Could be used as the primary text for a first course in scientific computing. Introduces mathematics majors, without any prior computer science exposure, to numerical methods. All mathematical knowledge needed beyond Calculus (together with the most widely used Calculus notation and concepts) is introduced in the text to make it self-contained.

Author : Mark H. Holmes
Publisher : Springer Nature
Page : 563 pages
File Size : 48,6 Mb
Release : 2023-07-11
Category : Computers
ISBN : 9783031224300

Get Book

Introduction to Scientific Computing and Data Analysis by Mark H. Holmes Pdf

This textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.

Author : Zlatko Drmac,Vjeran Hari,Luka Sopta,Zvonimir Tutek,Kresimir Veselic
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 44,5 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781475745320

Get Book

Applied Mathematics and Scientific Computing by Zlatko Drmac,Vjeran Hari,Luka Sopta,Zvonimir Tutek,Kresimir Veselic Pdf

Proceedings of the second conference on Applied Mathematics and Scientific Computing, held June 4-9, 2001 in Dubrovnik, Croatia. The main idea of the conference was to bring together applied mathematicians both from outside academia, as well as experts from other areas (engineering, applied sciences) whose work involves advanced mathematical techniques. During the meeting there were one complete mini-course, invited presentations, contributed talks and software presentations. A mini-course Schwarz Methods for Partial Differential Equations was given by Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited presentations were given by active researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix theory and mathematical physics (fluid mechanics and elasticity). This volume contains the mini-course and review papers by invited speakers (Part I), as well as selected contributed presentations from the field of analysis, numerical mathematics, and engineering applications.

Author : Peter Deuflhard,Andreas Hohmann
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215846

Get Book

Numerical Analysis in Modern Scientific Computing by Peter Deuflhard,Andreas Hohmann Pdf

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Author : Lloyd Dudley Fosdick
Publisher : MIT Press
Page : 838 pages
File Size : 42,8 Mb
Release : 1996
Category : Computers
ISBN : 0262061813

Get Book

An Introduction to High-performance Scientific Computing by Lloyd Dudley Fosdick Pdf

Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. This text evolved from a new curriculum in scientific computing that was developed to teach undergraduate science and engineering majors how to use high-performance computing systems (supercomputers) in scientific and engineering applications. Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. The authors begin with a survey of scientific computing and then provide a review of background (numerical analysis, IEEE arithmetic, Unix, Fortran) and tools (elements of MATLAB, IDL, AVS). Next, full coverage is given to scientific visualization and to the architectures (scientific workstations and vector and parallel supercomputers) and performance evaluation needed to solve large-scale problems. The concluding section on applications includes three problems (molecular dynamics, advection, and computerized tomography) that illustrate the challenge of solving problems on a variety of computer architectures as well as the suitability of a particular architecture to solving a particular problem. Finally, since this can only be a hands-on course with extensive programming and experimentation with a variety of architectures and programming paradigms, the authors have provided a laboratory manual and supporting software via anonymous ftp. Scientific and Engineering Computation series

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 43,6 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

Get Book

Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Author : W. Fitzgibbon,Y.A. Kuznetsov,Pekka Neittaanmäki,Jacques Périaux,Olivier Pironneau
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 51,7 Mb
Release : 2010-01-08
Category : Science
ISBN : 9789048132393

Get Book

Applied and Numerical Partial Differential Equations by W. Fitzgibbon,Y.A. Kuznetsov,Pekka Neittaanmäki,Jacques Périaux,Olivier Pironneau Pdf

Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.