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4 edition of Theory, computation, and application of exponential splines. found in the catalog.

Theory, computation, and application of exponential splines.

by Brian J. McCartin

  • 112 Want to read
  • 22 Currently reading

Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


The Physical Object
Pagination296 p.
Number of Pages296
ID Numbers
Open LibraryOL17867187M

Request PDF | Smoothing and Regression: Approaches, Computation, and Application | Spline Regression (R. Eubank). Variance Estimation and Smoothing-Parameter Selection for Spline Regression (A. In mathematics, a spline is a special function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees.

The books in the second group [2] are highly focused on applications, and describe hardly any theory. As its title indicates, this book attempts to position itself in between these two groups, and in my opinion this attempt has been successful. Journal of Optimization Theory and Applications , () Numerical solution of nonlinear hyperbolic conservation laws using exponential splines. Computational Mechanics 6 Cited by:

The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas. These areas include, among others: • Classical approximation • Abstract approximation • Constructive approximation • Degree of approximation • Fourier expansions • Interpolation of operators. 1 Mathematical Preliminaries Set Theory De nition 1 (Set). A set is collection of distinct elements, where the order in which the elements are listedFile Size: 1MB.


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Theory, computation, and application of exponential splines by Brian J. McCartin Download PDF EPUB FB2

This book was originally published prior toand represents a reproduction of an important historical work, maintaining the same format as the original : Brian J McCartin.

The subject of the application of exponential splines has largely been neglected in the literature [17,39,45], We commence with a broad spectrum of geometric applications in computational fluid dynamics.

We then take up and application of exponential splines. book approxi- mate solution of the Laplace, heat, and wave equations using exponential splines.

Together, these theoretical results form the backdrop for the detailed analysis of issues in the computation of exponential splines contained herewith.

Specifically, first and foremost the construction of tension parameter selection algorithms is by: Texte du rabat Excerpt from Theory, Computation, and Application of Exponential Splines We first outline the theoretical underpinnings of the computation spline.

This development roughly parallels the existing theory for cubic splines. The primary extension lies in the ability of the exponential spline to preserve convexity and monotonicity. The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines.

The book explains the equations of the computation, procedures for applications of the spline, convergence properties, equal-interval splines, and special. Purchase The Theory of Splines and Their Applications, Volume 38 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1.

Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper. The procedureexsplcoeff calculates the second derivatives of the exponential spline.

Using the second derivatives the exponential spline can be evaluated in a stable and efficient manner by the limiting cases of the exponential spline, the cubic spline Cited by: Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper.

The procedureexsplcoeff calculates the second derivatives of the exponential spline. Using the second derivatives the exponential spline can be evaluated in a stable and efficient manner by the procedureexspl.

The limiting cases of the exponential spline, the cubic spline and the linear spline Cited by:   The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines.

The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines Book Edition: 1. "This book is intended as a thorough presentation of those items from the theory and application of spline functions which are in a state that permits them to be offered to a prospective user under the title the author has chosen for his present publication.

At several places even the expert, however. Furthermore, the application of exponential splines to a broad spectrum of problems in computational fluid dynamics has been pursued [7].

THEORY OF EXPONENTIAL SPLINES 23 ACKNOWLEDGMENTS This research was performed while the author was a graduate student at the Courant Institute of Mathematical Sciences, New York by: Buy used On clicking this link, a new layer will be open. $ On clicking this link, a new layer will be open. Book Condition: All proceeds benefit our public library in Hillsboro, Oregon.

Boards have minor wear, lightly rubbed, textbook only, interior unmarked and binding by: The exponential cubic B-spline algorithm is presented to find the numerical solutions of the Korteweg-de Vries (KdV) equation. The problem is reduced to a system of algebraic equations, which is solved by using a variant of Thomas algorithm.

Numerical experiments are carried out to demonstrate the efficiency of the suggested by: The Theory of Splines and Their Applications: Mathematics inVolume 38 J.

Ahlberg, E. Nilson, J. Walsh Limited preview - The Theory of Splines and Their Applications. The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability.

This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the exponential distribution.4/5(2). Theory, computation, and application of exponential splines Technical Report McCartin, B J A generalization of the semiclassical cubic spline known in the literature as the exponential spline is.

We present an exponential B-spline collocation method for solving convection-diffusion equation with Dirichlet’s type boundary conditions. The method is based on the Crank-Nicolson formulation for time integration and exponential B-spline functions for space integration.

Using the Von Neumann method, the proposed method is shown to be unconditionally stable. Theory and Applications of Spline Functions - Proceedings of An Advanced Seminar Conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, OctoberGreville (T.N.E.), ed.

- Frank R. Loscalzo - L.L. Schumaker - J.W. Jerome and R.S. Varga - I.J. Schoenberg. Besides their classical applications in geometric modeling and approximation theory, uniform exponential B-splines are indeed very useful in signal processing [49, 50] and in.

Abstract. Three different strategies to determine the tension parameters p i of the exponential spline (or spline under tension) are discussed. A first heuristic strategy is based on the knowledge of the interpolating cubic spline and the p i-values are proposed in order to eliminate undesired inflection ity or monotonicity of the interpolant cannot be by: 8.

We present an exponential B-spline collocation method for solving convection-diffusion equation with Dirichlet’s type boundary conditions. The method is based on the Crank-Nicolson formulation for time integration and exponential B-spline functions for space integration. Using the Von Neumann method, the proposed method is shown to be unconditionally by:   In this article, we propose an exponential B-spline approach to obtain approximate solutions for the fractional sub-diffusion equation of Caputo type.

The presented method is established via a uniform nodal collocation strategy by using an exponential B-spline based interpolation in conjunction with an effective finite difference scheme in time. The Cited by: 4.Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis.

The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods.