Methods of Applied Mathematics with a Software Overview

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319433709
Total Pages : 792 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Methods of Applied Mathematics with a Software Overview by : Jon H. Davis

Download or read book Methods of Applied Mathematics with a Software Overview written by Jon H. Davis and published by Birkhäuser. This book was released on 2016-12-09 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Methods of Applied Mathematics with a MATLAB Overview

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780817643317
Total Pages : 744 pages
Book Rating : 4.6/5 (433 download)

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Book Synopsis Methods of Applied Mathematics with a MATLAB Overview by : Jon H. Davis

Download or read book Methods of Applied Mathematics with a MATLAB Overview written by Jon H. Davis and published by Springer Science & Business Media. This book was released on 2004 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Methods of Applied Mathematics for Engineers and Scientists

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Publisher : Cambridge University Press
ISBN 13 : 1107004128
Total Pages : 585 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Methods of Applied Mathematics for Engineers and Scientists by : Tomas B. Co

Download or read book Methods of Applied Mathematics for Engineers and Scientists written by Tomas B. Co and published by Cambridge University Press. This book was released on 2013-06-28 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.

Optimization Software Guide

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Publisher : SIAM
ISBN 13 : 0898713226
Total Pages : 149 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Optimization Software Guide by : Jorge J. More

Download or read book Optimization Software Guide written by Jorge J. More and published by SIAM. This book was released on 1993-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Introduction to Applied Mathematics

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Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780961408800
Total Pages : 776 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis Introduction to Applied Mathematics by : Gilbert Strang

Download or read book Introduction to Applied Mathematics written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 1986-01-01 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

Computational Methods for Inverse Problems

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Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Introduction to Matrix Analytic Methods in Stochastic Modeling

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Author :
Publisher : SIAM
ISBN 13 : 0898714257
Total Pages : 331 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Matrix Analytic Methods in Stochastic Modeling by : G. Latouche

Download or read book Introduction to Matrix Analytic Methods in Stochastic Modeling written by G. Latouche and published by SIAM. This book was released on 1999-01-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner.

An Introduction to Domain Decomposition Methods

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Publisher : SIAM
ISBN 13 : 1611974054
Total Pages : 242 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis An Introduction to Domain Decomposition Methods by : Victorita Dolean

Download or read book An Introduction to Domain Decomposition Methods written by Victorita Dolean and published by SIAM. This book was released on 2015-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.?

Numerical Continuation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642612571
Total Pages : 402 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Numerical Continuation Methods written by Eugene L. Allgower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.

Applied Mathematical Methods for Chemical Engineers

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Publisher : CRC Press
ISBN 13 : 1466553014
Total Pages : 561 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Applied Mathematical Methods for Chemical Engineers by : Norman W. Loney

Download or read book Applied Mathematical Methods for Chemical Engineers written by Norman W. Loney and published by CRC Press. This book was released on 2016-03-09 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses worked examples to showcase several mathematical methods that are essential to solving real-world process engineering problems. The third edition includes additional examples related to process control, Bessel Functions, and contemporary areas such as drug delivery. The author inserts more depth on specific applications such as nonhomogeneous cases of separation of variables, adds a section on special types of matrices such as upper- and lower-triangular matrices, incorporates examples related to biomedical engineering applications, and expands the problem sets of numerous chapters.

Methods and Applications of Interval Analysis

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Publisher : SIAM
ISBN 13 : 9781611970906
Total Pages : 190 pages
Book Rating : 4.9/5 (79 download)

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Book Synopsis Methods and Applications of Interval Analysis by : Ramon E. Moore

Download or read book Methods and Applications of Interval Analysis written by Ramon E. Moore and published by SIAM. This book was released on 1979-01-01 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Author :
Publisher : SIAM
ISBN 13 : 0898714125
Total Pages : 304 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations by : Uri M. Ascher

Download or read book Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-08-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all the material necessary for a course on the numerical solution of differential equations.

Numerical Analysis in Modern Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215840
Total Pages : 350 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Numerical Analysis in Modern Scientific Computing by : Peter Deuflhard

Download or read book Numerical Analysis in Modern Scientific Computing written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Formal Verification of Control System Software

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Publisher : Princeton University Press
ISBN 13 : 0691181306
Total Pages : 230 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Formal Verification of Control System Software by : Pierre-Loïc Garoche

Download or read book Formal Verification of Control System Software written by Pierre-Loïc Garoche and published by Princeton University Press. This book was released on 2019-05-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential introduction to the analysis and verification of control system software The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can cost people their lives. In this authoritative and accessible book, Pierre-Loïc Garoche provides control engineers and computer scientists with an indispensable introduction to the formal techniques for analyzing and verifying this important class of software. Too often, control engineers are unaware of the issues surrounding the verification of software, while computer scientists tend to be unfamiliar with the specificities of controller software. Garoche provides a unified approach that is geared to graduate students in both fields, covering formal verification methods as well as the design and verification of controllers. He presents a wealth of new verification techniques for performing exhaustive analysis of controller software. These include new means to compute nonlinear invariants, the use of convex optimization tools, and methods for dealing with numerical imprecisions such as floating point computations occurring in the analyzed software. As the autonomy of critical systems continues to increase—as evidenced by autonomous cars, drones, and satellites and landers—the numerical functions in these systems are growing ever more advanced. The techniques presented here are essential to support the formal analysis of the controller software being used in these new and emerging technologies.

Finite Difference Methods for Ordinary and Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Introduction to Applied Linear Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Princeton Companion to Applied Mathematics

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Publisher : Princeton University Press
ISBN 13 : 0691150397
Total Pages : 1014 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Princeton Companion to Applied Mathematics by : Nicholas J. Higham

Download or read book Princeton Companion to Applied Mathematics written by Nicholas J. Higham and published by Princeton University Press. This book was released on 2015-09-09 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index