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Finite Interval (finite + interval)

Distribution by Scientific Domains
Mathematics and Statistics80%

Selected Abstracts

On the uniform decay for the Korteweg,de Vries equation with weak damping

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 12 2007
C. P. Massarolo
Abstract The aim of this work is to consider the Korteweg,de Vries equation in a finite interval with a very weak localized dissipation namely the H,1 -norm. Our main result says that the total energy decays locally uniform at an exponential rate. Our analysis improves earlier works on the subject (Q. Appl. Math. 2002; LX(1):111,129; ESAIM Control Optim. Calculus Variations 2005; 11(3):473,486) and gives a satisfactory answer to a problem suggested in (Q. Appl. Math. 2002; LX(1):111,129). Copyright © 2007 John Wiley & Sons, Ltd. [source]

The auto-correlation equation on the finite interval

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 6 2003
L. Von Wolfersdorf
Applying the Fourier cosine transformation, the quadratic auto-correlation equation on the finite interval [0,T] of the positive real half-axis ,+ is reduced to a problem for the modulus of the finite complex Fourier transform of the solution. From the solutions of this problem L2 -solutions of the auto-correlation equation are obtained in closed form. Moreover, as in the case of the equation on ,+ a Lavrent'ev regularization procedure for the auto-correlation equation is suggested. Copyright © 2003 John Wiley & Sons, Ltd. [source]

Numerical solution to a linearized KdV equation on unbounded domain

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Issue 2 2008
Chunxiong Zheng
Abstract Exact absorbing boundary conditions for a linearized KdV equation are derived in this paper. Applying these boundary conditions at artificial boundary points yields an initial-boundary value problem defined only on a finite interval. A dual-Petrov-Galerkin scheme is proposed for numerical approximation. Fast evaluation method is developed to deal with convolutions involved in the exact absorbing boundary conditions. In the end, some numerical tests are presented to demonstrate the effectiveness and efficiency of the proposed method.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008 [source]

Evaluation of Information Loss in Digital Elevation Models With Digital Photogrammetric Systems

THE PHOTOGRAMMETRIC RECORD, Issue 95 2000
Y. D. Huang
Information loss is caused when a surface is sampled with a finite interval, such as in the production of a digital elevation model (DEM). This information loss can become the dominant part of the error in a DEM. The ability to quantify information loss enables guidance to be provided for an appropriate choice of grid interval and better accuracy assessment for the DEM. With the use of digital photogrammetric systems, evaluation of information loss has become much easier. This paper describes three methods of evaluating information loss. An example is given of the method which is most appropriate for use with a digital photogrammetric system, based on rock cliff surface data and the VirtuoZo system. [source]