This short book gives a solid introduction to the field. After a review of direct methods for the solution of linear systems, following chapters introduce and analyze the more commonly used finite difference methods for solving a variety of problems. Annotation copyright Book News, Inc. Portland, Or.

The Numerical Solution of Ordinary and Partial Differential Equations

Science & Math

SEWELL, GRANVILLE

Mathematics

Academic Press

Learn to write programs to solve linear algebraic problemsThe Second Edition of this popular textbook provides a highly accessible introduction to the numerical solution of linear algebraic problems. Readers gain a solid theoretical foundation for all the methods discussed in the text and learn to write FORTRAN90 and MATLAB(r) programs to solve problems. This new edition is enhanced with new material and pedagogical tools, reflecting the author's hands-on teaching experience, including:* A new chapter covering modern supercomputing and parallel programming* Fifty percent more examples and exercises that help clarify theory and demonstrate real-world applications* MATLAB(r) versions of all the FORTRAN90 programs* An appendix with answers to selected problemsThe book starts with basic definitions and results from linear algebra that are used as a foundation for later chapters. The following four chapters present and analyze direct and iterative methods for the solution of linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. Next, a chapter is devoted to the fast Fourier transform, a topic not often covered by comparable texts. The final chapter features a practical introduction to writing computational linear algebra software to run on today's vector and parallel supercomputers.Highlighted are double-precision FORTRAN90 subroutines that solve the problems presented in the text. The subroutines are carefully documented and readable, allowing students to follow the program logic from start to finish. MATLAB(r) versions of the codes are listed in an appendix. Machine-readable copies of the FORTRAN90 and MATLAB(r) codes can be downloaded from the text's accompanying Web site.With its clear style and emphasis on problem solving, this is a superior textbook for upper-level undergraduates and graduate students.

Computational Methods of Linear Algebra (Ellis Horwood Series in Mathematics and Its Applications)

PRENTICE/HALL

Computational Methods of Linear Algebra (Mathematics and Its Applications Series)

Ellis Horwood, Ltd.

This text can be used for two quite different purposes. It can be used as a reference book for the PDElPROTRAN user· who wishes to know more about the methods employed by PDE/PROTRAN Edition 1 (or its predecessor, TWODEPEP) in solving two-dimensional partial differential equations. However, because PDE/PROTRAN solves such a wide class of problems, an outline of the algorithms contained in PDElPROTRAN is also quite suitable as a text for an introductory graduate level finite element course. Algorithms which solve elliptic, parabolic, hyperbolic, and eigenvalue partial differential equation problems are pre sented, as are techniques appropriate for treatment of singularities, curved boundaries, nonsymmetric and nonlinear problems, and systems of PDEs. Direct and iterative linear equation solvers are studied. Although the text emphasizes those algorithms which are actually implemented in PDEI PROTRAN, and does not discuss in detail one- and three-dimensional problems, or collocation and least squares finite element methods, for example, many of the most commonly used techniques are studied in detail. Algorithms applicable to general problems are naturally emphasized, and not special purpose algorithms which may be more efficient for specialized problems, such as Laplace's equation. It can be argued, however, that the student will better understand the finite element method after seeing the details of one successful implementation than after seeing a broad overview of the many types of elements, linear equation solvers, and other options in existence.

Analysis of a Finite Element Method: PDE/PROTRAN

Springer

Learn to write programs to solve linear algebraic problems The Second Edition of this popular textbook provides a highly accessible introduction to the numerical solution of linear algebraic problems. Readers gain a solid theoretical foundation for all the methods discussed in the text and learn to write FORTRAN90 and MATLAB(r) programs to solve problems. This new edition is enhanced with new material and pedagogical tools, reflecting the author's hands-on teaching experience, including: * A new chapter covering modern supercomputing and parallel programming * Fifty percent more examples and exercises that help clarify theory and demonstrate real-world applications * MATLAB(r) versions of all the FORTRAN90 programs * An appendix with answers to selected problems The book starts with basic definitions and results from linear algebra that are used as a foundation for later chapters. The following four chapters present and analyze direct and iterative methods for the solution of linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. Next, a chapter is devoted to the fast Fourier transform, a topic not often covered by comparable texts. The final chapter features a practical introduction to writing computational linear algebra software to run on today's vector and parallel supercomputers. Highlighted are double-precision FORTRAN90 subroutines that solve the problems presented in the text. The subroutines are carefully documented and readable, allowing students to follow the program logic from start to finish. MATLAB(r) versions of the codes are listed in an appendix. Machine-readable copies of the FORTRAN90 and MATLAB(r) codes can be downloaded from the text's accompanying Web site. With its clear style and emphasis on problem solving, this is a superior textbook for upper-level undergraduates and graduate students.

Computational Methods of Linear Algebra

Wiley-Interscience

Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes the practical steps involved in implementing the methods, culminating in readers learning how to write programs using FORTRAN90 and MATLAB(r) to solve ordinary and partial differential equations. The book begins with a review of direct methods for the solution of linear systems, with an emphasis on the special features of the linear systems that arise when differential equations are solved. The following four chapters introduce and analyze the more commonly used finite difference methods for solving a variety of problems, including ordinary and partial differential equations and initial value and boundary value problems. The techniques presented in these chapters, with the aid of carefully developed exercises and numerical examples, can be easilymastered by readers. The final chapter of the text presents the basic theory underlying the finite element method. Following the guidance offered in this chapter, readers gain a solid understanding of the method and discover how to use it to solve many problems. A special feature of the Second Edition is Appendix A, which describes a finite element program, PDE2D, developed by the author. Readers discover how PDE2D can be used to solve difficult partial differential equation problems, including nonlinear time-dependent and steady-state systems, and linear eigenvalue systems in 1D intervals, general 2D regions, and a wide range of simple 3D regions. The software itself is available to instructors who adopt the text to share with their students.

In this wide-ranging collection of essays on origins, mathematician Granville Sewell looks at the big bang, the fine-tuning of the laws of physics, and the evolution of life. He concludes that while there is much in the history of life that seems to suggest natural causes, there is nothing to support Charles Darwin’s idea that natural selection of random mutations can explain major evolutionary advances (“easily the dumbest idea ever taken seriously by science,” he calls it). Sewell explains why evolution is a fundamentally different and much more difficult problem than others solved by science, and why increasing numbers of scientists are now recognizing what has long been obvious to the layman, that there is no explanation possible without design. This book summarizes many of the traditional arguments for intelligent design, but presents some powerful new arguments as well.

In the Beginning: And Other Essays on Intelligent Design

Politics & Social Sciences

Philosophy

Discovery Institute Press

Solve engineering and scientific partial differential equation applications using the PDE2D software developed by the author Solving Partial Differential Equation Applications with PDE2D derives and solves a range of ordinary and partial differential equation (PDE) applications. This book describes an easy-to-use, general purpose, and time-tested PDE solver developed by the author that can be applied to a wide variety of science and engineering problems. The equations studied include many time-dependent, steady-state and eigenvalue applications such as diffusion, heat conduction and convection, image processing, math finance, fluid flow, and elasticity and quantum mechanics, in one, two, and three space dimensions. The author begins with some simple "0D" problems that give the reader an opportunity to become familiar with PDE2D before proceeding to more difficult problems. The book ends with the solution of a very difficult nonlinear problem, which requires a moving adaptive grid because the solution has sharp, moving peaks. This important book: <ul>
<li>Describes a finite-element program, PDE2D, developed by the author over the course of 40 years</li> <li>Derives the ordinary and partial differential equations, with appropriate initial and boundary conditions, for a wide variety of applications</li> <li>Offers free access to the Windows version of the PDE2D software through the author’s website at www.pde2d.com</li> <li>Offers free access to the Linux and MacOSX versions of the PDE2D software also, for instructors who adopt the book for their course and contact the author at www.pde2d.com</li> </ul>
Written for graduate applied mathematics or computational science classes, Solving Partial Differential Equation Applications with PDE2D offers students the opportunity to actually solve interesting engineering and scientific applications using the accessible PDE2D.

Solving Partial Differential Equation Applications with PDE2D

Business & Money

Economics

wiley

In this revised and expanded collection of essays on origins, mathematician Granville Sewell looks at the big bang, the fine-tuning of the laws of physics, and (especially) the evolution of life. Sewell explains why evolution is a fundamentally different and much more difficult problem than others solved by science, and why increasing numbers of scientists are now recognizing what has long been obvious to the layman, that there is no explanation possible without design. This book summarizes many of the traditional arguments for intelligent design, but presents some powerful new arguments as well.

Discovery Institute

Computational Methods Of Linear Algebra (3Rd Edition)

This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers.
The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs for solving linear algebraic problems. Highly readable FORTRAN and MATLAB codes are presented which solve all of the main problems studied.

COMPUTATIONAL METHODS OF LINEAR ALGEBRA (3RD EDITION)

World Scientific Publishing Company

See the best price to sell, buy, or rent books by SEWELL, GRANVILLE. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by SEWELL, GRANVILLE

See the best price to sell, buy, or rent books by SEWELL, GRANVILLE. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Numerical Solution of Ordinary and Partial Differential Equations

Computational Methods of Linear Algebra (Ellis Horwood Series in Mathematics and Its Applications)

Computational Methods of Linear Algebra (Mathematics and Its Applications Series)

Analysis of a Finite Element Method: PDE/PROTRAN

Computational Methods of Linear Algebra

The Numerical Solution of Ordinary and Partial Differential Equations

In the Beginning: And Other Essays on Intelligent Design

Solving Partial Differential Equation Applications with PDE2D

In the Beginning: And Other Essays on Intelligent Design

COMPUTATIONAL METHODS OF LINEAR ALGEBRA (3RD EDITION)