Record: 1

Title: An efficient and fast parallel method for Volterra integral equations of Abel type.

Authors: Capobianco, Giovanni1 gcapobianco@unisa.it

Conte, Dajana dajconte@unisa.it

Source: Journal of Computational & Applied Mathematics; May2006, Vol.

189 Issue 1/2, p481-493, 13p

Document Type: Article

Abstract: Abstract: In this paper we present an efficient and fast parallel waveform relaxation method for Volterra integral equations of Abel type, obtained by reformulating a nonstationary waveform relaxation method for systems of equations with linear coefficient constant kernel.

To this aim we consider the Laplace transform of the equation and here we apply the recurrence relation given by the Chebyshev polynomial acceleration for algebraic linear systems. Back in the time domain, we obtain a three term recursion which requires, at each iteration, the evaluation of convolution integrals, where only the Laplace transform of the kernel is known. For this calculation we can use a fast convolution algorithm. Numerical experiments have been done also on problems where it is not possible to use the original nonstationary method, obtaining good results in terms of improvement of the rate of convergence with respect the stationary method. [ABSTRACT FROM AUTHOR; Copyright 2006 Elsevier]

Author Affiliations: 1Dipartimento di Matematica e Informatica, Universitŕ di Salerno, Via Ponte Don Melillo, I-84084 Fisciano (SA), Italy

ISSN: 0377-0427

DOI: 10.1016/j.cam.2005.03.056

Accession Number: 19618810

Persistent link to this record:

http://search.epnet.com/login.aspx?direct=true&db=aph&an=19618810

Cut and Paste: <A

href="http://search.epnet.com/login.aspx?direct=true&db=aph&an=19618810"

>An efficient and fast parallel method for Volterra integral equations

of Abel type.</A>

Database: Academic Search Premier

_____

Record: 2

Title: Various applications of the dispersion model for flow systems

with Danckwerts’ boundary conditions.

Authors: Kudrna, Vladimír1

Jahoda, Milan Milan.Jahoda@vscht.cz

Siyakatshana, Njabulo1

Čermáková, Jiřina1

Majířová, Hana1

Machoň, Václav1

Source: Chemical Engineering Science; Apr2006, Vol. 61 Issue 8,

p2313-2323, 11p

Document Type: Article

Abstract: Abstract: The general solution of the one-dimensional

dispersion model with Danckwerts’ boundary conditions by means of the Laplace transformation and/or Fourier's method was applied to the description of residence time distribution in single and multiple stage flow systems. The validity of derived equations was confirmed by comparing with experimental results obtained by measuring with laboratory and industrial equipment. [ABSTRACT FROM AUTHOR; Copyright

2006 Elsevier]

Author Affiliations: 1Prague Institute of Chemical Technology,

Technická 3, Praha 6, 166 28 Czech Republic

ISSN: 0009-2509

DOI: 10.1016/j.ces.2005.10.038

Accession Number: 19779775

Persistent link to this record:

http://search.epnet.com/login.aspx?direct=true&db=aph&an=19779775

Cut and Paste: <A

href="http://search.epnet.com/login.aspx?direct=true&db=aph&an=19779775"

>Various applications of the dispersion model for flow systems with

Danckwerts’ boundary conditions.</A>

Database: Academic Search Premier

_____

The link information above provides a persistent link to the article you've requested.

Persistent link to this record: Following the link above will bring you to the start of the article or citation.

Cut and Paste: To place article links in an external web document, simply copy and paste the HTML above, starting with "<A HREF"

If you have any problems or questions, contact Technical Support at http://support.epnet.com/CustSupport/Customer/OpenCase.aspx or call 800-758-5995.

This e-mail was generated by a user of EBSCOhost who gained access via the CENTRAL COLLEGE account. Neither EBSCO nor CENTRAL COLLEGE is responsible for the content of this e-mail.