Author: Carl-Wilhelm Reinhold De Boor
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
Book Description
The Method of Projection as Applied to the Numerical Solution of Two Point Boundary Value Problems Using Cubic Splines
Author: Carl-Wilhelm Reinhold De Boor
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
Book Description
THE METHOD OF PROJECTIONS AS APPLIED TO THE NUMERICAL SOLUTION OF TWO POINT BOUNDARY VALUE PROBLEMS USING CUBIC SPLINES.
Author: CARL-WILHELM REINHOLD DE BOOR
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 66
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 66
Book Description
Approximation Theory XVI
Author: Gregory E. Fasshauer
Publisher: Springer Nature
ISBN: 3030574644
Category : Mathematics
Languages : en
Pages : 256
Book Description
These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.
Publisher: Springer Nature
ISBN: 3030574644
Category : Mathematics
Languages : en
Pages : 256
Book Description
These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.
Handbook of Splines
Author: Gheorghe Micula
Publisher: Springer Science & Business Media
ISBN: 9401153388
Category : Mathematics
Languages : en
Pages : 622
Book Description
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Publisher: Springer Science & Business Media
ISBN: 9401153388
Category : Mathematics
Languages : en
Pages : 622
Book Description
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
SIAM Journal on Numerical Analysis
Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 648
Book Description
Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 648
Book Description
Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.
Sparse Grids and Applications - Munich 2018
Author: Hans-Joachim Bungartz
Publisher: Springer Nature
ISBN: 3030813622
Category : Mathematics
Languages : en
Pages : 268
Book Description
Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.
Publisher: Springer Nature
ISBN: 3030813622
Category : Mathematics
Languages : en
Pages : 268
Book Description
Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.
Lecture Notes in Pure and Applied Mathematics
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 848
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 848
Book Description
Mathematics for Large Scale Computing
Author: Julio Diaz
Publisher: CRC Press
ISBN: 1000657639
Category : Mathematics
Languages : en
Pages : 362
Book Description
During recent years a great deal of interest has been devoted to large scale computing applications. This has occurred in great part because of the introduction of advanced high performance computer architectures. The book contains survey articles as well as chapters on specific research applications, development and analysis of numerical algorithms, and performance evaluation of algorithms on advanced architectures. The effect of specialized architectural features on the performance of large scale computation is also considered by several authors. Several areas of applications are represented, including the numerical solution of partial differential equations, iterative techniques for large structured problems, the numerical solution of boundary value problems for ordinary differential equations, numerical optimization, and numerical quadrature. Mathematical issues in computer architecture are also presented, including the description of grey codes for generalized hypercubes. The results presented in this volume give, in our opinion, a representative picture of today’s state of the art in several aspects of large scale computing.
Publisher: CRC Press
ISBN: 1000657639
Category : Mathematics
Languages : en
Pages : 362
Book Description
During recent years a great deal of interest has been devoted to large scale computing applications. This has occurred in great part because of the introduction of advanced high performance computer architectures. The book contains survey articles as well as chapters on specific research applications, development and analysis of numerical algorithms, and performance evaluation of algorithms on advanced architectures. The effect of specialized architectural features on the performance of large scale computation is also considered by several authors. Several areas of applications are represented, including the numerical solution of partial differential equations, iterative techniques for large structured problems, the numerical solution of boundary value problems for ordinary differential equations, numerical optimization, and numerical quadrature. Mathematical issues in computer architecture are also presented, including the description of grey codes for generalized hypercubes. The results presented in this volume give, in our opinion, a representative picture of today’s state of the art in several aspects of large scale computing.
Mathematics of Computation
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 538
Book Description
Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 538
Book Description
Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
MRC Technical Summary Report
Author: United States. Army. Mathematics Research Center
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 444
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 444
Book Description