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Parallel Fully Vectorized Marsa-LFIB4: Algorithmic and Language-Based Optimization of Recursive Computations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

An Interval Difference Method of Second Order for Solving an Elliptical BVP

Authors : Andrzej Marciniak, Malgorzata A. Jankowska, Tomasz Hoffmann

Published in: Parallel Processing and Applied Mathematics

Publisher: Springer International Publishing

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Abstract

In the article we present an interval difference scheme for solving a general elliptic boundary value problem with Dirichlet’ boundary conditions. The obtained interval enclosure of the solution contains all possible numerical errors. A numerical example we present confirms that the exact solution belongs to the resulting interval enclosure.

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previous chapter An Interval Calculus Based Approach to Determining the Area of Integration of the Entropy Density Function
next chapter A Parallel Method of Verifying Solutions for Systems of Two Nonlinear Equations
Footnotes
1
There is also known directed interval arithmetic in which the left-ends of intervals may be greater than the right-end of ones. But it is not the case of our paper – we use only proper intervals.
 
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Metadata
Title
An Interval Difference Method of Second Order for Solving an Elliptical BVP
Authors
Andrzej Marciniak
Malgorzata A. Jankowska
Tomasz Hoffmann
Copyright Year
2020
Book
Parallel Processing and Applied Mathematics

Print ISBN: 978-3-030-43221-8

Electronic ISBN: 978-3-030-43222-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43222-5_36

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