Approximation And Computation In Science And Engineering

Approximation And Computation In Science And Engineering Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Approximation And Computation In Science And Engineering book. This book definitely worth reading, it is an incredibly well-written.

Approximation and Computation in Science and Engineering

Nicholas J. Daras,Themistocles M. Rassias
Approximation and Computation in Science and Engineering Book PDF

Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer Nature
Page : 934 pages
File Size : 48,6 Mb
Release : 2022-05-05
Category : Mathematics
ISBN : 9783030841225

Get Book

Approximation and Computation in Science and Engineering by Nicholas J. Daras,Themistocles M. Rassias Pdf

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

Approximation and Computation

Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
Approximation and Computation Book PDF

Author : Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 44,6 Mb
Release : 2010-10-20
Category : Mathematics
ISBN : 9781441965943

Get Book

Approximation and Computation by Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias Pdf

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

Numerical Methods and Methods of Approximation in Science and Engineering

Karan S. Surana
Numerical Methods and Methods of Approximation in Science and Engineering Book PDF

Author : Karan S. Surana
Publisher : CRC Press
Page : 478 pages
File Size : 50,9 Mb
Release : 2018-10-31
Category : Mathematics
ISBN : 9780429650505

Get Book

Numerical Methods and Methods of Approximation in Science and Engineering by Karan S. Surana Pdf

Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous worked examples to facilitate understanding of numerical methods and their application. Readers will learn to structure a sequence of operations into a program, using the programming language of their choice; this approach leads to a deeper understanding of the methods and their limitations. Features: Provides a strong theoretical foundation for learning and applying numerical methods Takes a generic approach to engineering analysis, rather than using a specific programming language Built around a consistent, understandable model for conducting engineering analysis Prepares students for advanced coursework, and use of tools such as FEA and CFD Presents numerous detailed examples and problems, and a Solutions Manual for instructors

The Best Approximation Method in Computational Mechanics

Theodore V., II Hromadka
The Best Approximation Method in Computational Mechanics Book PDF

Author : Theodore V., II Hromadka
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447120209

Get Book

The Best Approximation Method in Computational Mechanics by Theodore V., II Hromadka Pdf

With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.

Integral Methods in Science and Engineering

Christian Constanda,Paul Harris
Integral Methods in Science and Engineering Book PDF

Author : Christian Constanda,Paul Harris
Publisher : Springer
Page : 478 pages
File Size : 55,8 Mb
Release : 2019-07-18
Category : Mathematics
ISBN : 9783030160777

Get Book

Integral Methods in Science and Engineering by Christian Constanda,Paul Harris Pdf

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers. The topics addressed are wide ranging, and include: Asymptotic analysis Boundary-domain integral equations Viscoplastic fluid flow Stationary waves Interior Neumann shape optimization Self-configuring neural networks This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

Algorithms for Approximation

Armin Iske,Jeremy Levesley
Algorithms for Approximation Book PDF

Author : Armin Iske,Jeremy Levesley
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 53,7 Mb
Release : 2006-12-13
Category : Mathematics
ISBN : 9783540465515

Get Book

Algorithms for Approximation by Armin Iske,Jeremy Levesley Pdf

Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.

Advanced Computational Methods in Science and Engineering

Barry Koren,Kees Vuik
Advanced Computational Methods in Science and Engineering Book PDF

Author : Barry Koren,Kees Vuik
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 43,7 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9783642033872

Get Book

Advanced Computational Methods in Science and Engineering by Barry Koren,Kees Vuik Pdf

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

The Best Approximation Method in Computational Mechanics

Theodore V., II Hromadka
The Best Approximation Method in Computational Mechanics Book PDF

Author : Theodore V., II Hromadka
Publisher : Springer
Page : 250 pages
File Size : 40,8 Mb
Release : 2011-12-12
Category : Mathematics
ISBN : 1447120213

Get Book

The Best Approximation Method in Computational Mechanics by Theodore V., II Hromadka Pdf

With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.

An Introduction to Computational Science

Allen Holder,Joseph Eichholz
An Introduction to Computational Science Book PDF

Author : Allen Holder,Joseph Eichholz
Publisher : Springer
Page : 470 pages
File Size : 41,6 Mb
Release : 2019-06-18
Category : Business & Economics
ISBN : 9783030156794

Get Book

An Introduction to Computational Science by Allen Holder,Joseph Eichholz Pdf

This textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method? The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science.

Numerical Methods for Scientists and Engineers

Richard Hamming
Numerical Methods for Scientists and Engineers Book PDF

Author : Richard Hamming
Publisher : Courier Corporation
Page : 754 pages
File Size : 43,6 Mb
Release : 2012-04-25
Category : Mathematics
ISBN : 9780486134826

Get Book

Numerical Methods for Scientists and Engineers by Richard Hamming Pdf

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

Algorithms for Approximation

Armin Iske,Jeremy Levesley
Algorithms for Approximation Book PDF

Author : Armin Iske,Jeremy Levesley
Publisher : Springer
Page : 389 pages
File Size : 40,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540822445

Get Book

Algorithms for Approximation by Armin Iske,Jeremy Levesley Pdf

Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.

Fundamentals of Scientific Computing

Bertil Gustafsson
Fundamentals of Scientific Computing Book PDF

Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 53,9 Mb
Release : 2011-06-11
Category : Mathematics
ISBN : 9783642194955

Get Book

Fundamentals of Scientific Computing by Bertil Gustafsson Pdf

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

Computational Methods for Approximation of Large-Scale Dynamical Systems

Mohammad Monir Uddin
Computational Methods for Approximation of Large Scale Dynamical Systems Book PDF

Author : Mohammad Monir Uddin
Publisher : CRC Press
Page : 279 pages
File Size : 43,6 Mb
Release : 2019-04-30
Category : Mathematics
ISBN : 9781351028608

Get Book

Computational Methods for Approximation of Large-Scale Dynamical Systems by Mohammad Monir Uddin Pdf

These days, computer-based simulation is considered the quintessential approach to exploring new ideas in the different disciplines of science, engineering and technology (SET). To perform simulations, a physical system needs to be modeled using mathematics; these models are often represented by linear time-invariant (LTI) continuous-time (CT) systems. Oftentimes these systems are subject to additional algebraic constraints, leading to first- or second-order differential-algebraic equations (DAEs), otherwise known as descriptor systems. Such large-scale systems generally lead to massive memory requirements and enormous computational complexity, thus restricting frequent simulations, which are required by many applications. To resolve these complexities, the higher-dimensional system may be approximated by a substantially lower-dimensional one through model order reduction (MOR) techniques. Computational Methods for Approximation of Large-Scale Dynamical Systems discusses computational techniques for the MOR of large-scale sparse LTI CT systems. Although the book puts emphasis on the MOR of descriptor systems, it begins by showing and comparing the various MOR techniques for standard systems. The book also discusses the low-rank alternating direction implicit (LR-ADI) iteration and the issues related to solving the Lyapunov equation of large-scale sparse LTI systems to compute the low-rank Gramian factors, which are important components for implementing the Gramian-based MOR. Although this book is primarly aimed at post-graduate students and researchers of the various SET disciplines, the basic contents of this book can be supplemental to the advanced bachelor's-level students as well. It can also serve as an invaluable reference to researchers working in academics and industries alike. Features: Provides an up-to-date, step-by-step guide for its readers. Each chapter develops theories and provides necessary algorithms, worked examples, numerical experiments and related exercises. With the combination of this book and its supplementary materials, the reader gains a sound understanding of the topic. The MATLAB® codes for some selected algorithms are provided in the book. The solutions to the exercise problems, experiment data sets and a digital copy of the software are provided on the book's website; The numerical experiments use real-world data sets obtained from industries and research institutes.

Selected Topics in Approximation and Computation

Marek Kowalski,Christopher Sikorski,Frank Stenger
Selected Topics in Approximation and Computation Book PDF

Author : Marek Kowalski,Christopher Sikorski,Frank Stenger
Publisher : Oxford University Press
Page : 366 pages
File Size : 48,5 Mb
Release : 1995-08-31
Category : Mathematics
ISBN : 9780195359770

Get Book

Selected Topics in Approximation and Computation by Marek Kowalski,Christopher Sikorski,Frank Stenger Pdf

Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.

Computing Highly Oscillatory Integrals

Alfredo Deano,Daan Huybrechs,Arieh Iserles
Computing Highly Oscillatory Integrals Book PDF

Author : Alfredo Deano,Daan Huybrechs,Arieh Iserles
Publisher : SIAM
Page : 207 pages
File Size : 48,8 Mb
Release : 2017-12-27
Category : Mathematics
ISBN : 9781611975116

Get Book

Computing Highly Oscillatory Integrals by Alfredo Deano,Daan Huybrechs,Arieh Iserles Pdf

Highly oscillatory phenomena range across numerous areas in science and engineering and their computation represents a difficult challenge. A case in point is integrals of rapidly oscillating functions in one or more variables. The quadrature of such integrals has been historically considered very demanding. Research in the past 15 years (in which the authors played a major role) resulted in a range of very effective and affordable algorithms for highly oscillatory quadrature. This is the only monograph bringing together the new body of ideas in this area in its entirety. The starting point is that approximations need to be analyzed using asymptotic methods rather than by more standard polynomial expansions. As often happens in computational mathematics, once a phenomenon is understood from a mathematical standpoint, effective algorithms follow. As reviewed in this monograph, we now have at our disposal a number of very effective quadrature methods for highly oscillatory integrals?Filon-type and Levin-type methods, methods based on steepest descent, and complex-valued Gaussian quadrature. Their understanding calls for a fairly varied mathematical toolbox?from classical numerical analysis, approximation theory, and theory of orthogonal polynomials all the way to asymptotic analysis?yet this understanding is the cornerstone of efficient algorithms. The text is intended for advanced undergraduate and graduate students, as well as applied mathematicians, scientists, and engineers who encounter highly oscillatory integrals as a critical difficulty in their computations.