dc.contributor.author | Bialecki, B. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Bialecki, B. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:34:01Z | |
dc.date.available | 2019-12-02T10:34:01Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56529 | |
dc.description.abstract | We formulate a fourth order modified nodal cubic spline collocation scheme for variable coefficient second order partial differential equations in the unit cube subject to nonzero Dirichlet boundary conditions. The approximate solution satisfies a perturbed partial differential equation at the interior nodes of a uniform N × N × N partition of the cube and the partial differential equation at the boundary nodes. In the special case of Poisson's equation, the resulting linear system is solved by a matrix decomposition algorithm with fast Fourier transforms at a cost O(N3log N. For the general variable coefficient diffusion-dominated case, the system is solved using the preconditioned biconjugate gradient stabilized method. © 2012 Springer Science+Business Media New York. | en |
dc.source | Numerical Algorithms | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884208484&doi=10.1007%2fs11075-012-9669-4&partnerID=40&md5=c4739d82ff9344b760ceadef78058cfe | |
dc.subject | Fast Fourier transforms | en |
dc.subject | Nodal spline collocation | en |
dc.subject | Matrix decomposition algorithm | en |
dc.title | Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s11075-012-9669-4 | |
dc.description.volume | 64 | |
dc.description.issue | 2 | |
dc.description.startingpage | 349 | |
dc.description.endingpage | 383 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Numer.Algorithms | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |