Numerical Mathematics Singapore 1988

Numerical Mathematics Singapore 1988 PDF Author: Agarwal
Publisher: Birkhäuser
ISBN: 3034863039
Category : Science
Languages : en
Pages : 519

Get Book Here

Book Description

Numerical Mathematics Singapore 1988

Numerical Mathematics Singapore 1988 PDF Author: Agarwal
Publisher: Birkhäuser
ISBN: 3034863039
Category : Science
Languages : en
Pages : 519

Get Book Here

Book Description


Numerical Mathematics Singapore 1988

Numerical Mathematics Singapore 1988 PDF Author: Agarwal
Publisher: Birkhäuser
ISBN: 9783764322557
Category : Science
Languages : en
Pages : 0

Get Book Here

Book Description


Numerical Mathematics

Numerical Mathematics PDF Author: Ravi P. Agarwal
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 526

Get Book Here

Book Description


The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

The Numerical Solution of Systems of Polynomials Arising in Engineering and Science PDF Author: Andrew John Sommese
Publisher: World Scientific
ISBN: 9812561846
Category : Mathematics
Languages : en
Pages : 425

Get Book Here

Book Description
Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

Computational Linear and Commutative Algebra

Computational Linear and Commutative Algebra PDF Author: Martin Kreuzer
Publisher: Springer
ISBN: 3319436015
Category : Mathematics
Languages : en
Pages : 332

Get Book Here

Book Description
This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.

Walter Gautschi, Volume 1

Walter Gautschi, Volume 1 PDF Author: Claude Brezinski
Publisher: Springer Science & Business Media
ISBN: 146147034X
Category : Mathematics
Languages : en
Pages : 700

Get Book Here

Book Description
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi

Geometric Modelling

Geometric Modelling PDF Author: S. Hahmann
Publisher: Springer Science & Business Media
ISBN: 3709105870
Category : Mathematics
Languages : en
Pages : 246

Get Book Here

Book Description
In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: – curve and surface modelling – non-manifold modelling in CAD – multiresolution analysis of complex geometric models – surface reconstruction – variational design – computational geometry of curves and surfaces – 3D meshing – geometric modelling for scientific visualization – geometric models for biomedical applications

Approximation and Computation

Approximation and Computation PDF Author: Walter Gautschi
Publisher: Springer Science & Business Media
ISBN: 1441965947
Category : Mathematics
Languages : en
Pages : 482

Get Book Here

Book Description
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.

Walter Gautschi, Volume 3

Walter Gautschi, Volume 3 PDF Author: Claude Brezinski
Publisher: Springer Science & Business Media
ISBN: 146147132X
Category : Mathematics
Languages : en
Pages : 770

Get Book Here

Book Description
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi

The Splitting Extrapolation Method

The Splitting Extrapolation Method PDF Author: C. B. Liem
Publisher: World Scientific
ISBN: 9789810222178
Category : Mathematics
Languages : en
Pages : 344

Get Book Here

Book Description
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.