dc.contributor.author | Fairweather, G. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.contributor.author | Maack, J. | en |
dc.creator | Fairweather, G. | en |
dc.creator | Karageorghis, Andreas | en |
dc.creator | Maack, J. | en |
dc.date.accessioned | 2019-12-02T10:34:59Z | |
dc.date.available | 2019-12-02T10:34:59Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56783 | |
dc.description.abstract | Quadratic spline collocation methods are formulated for the numerical solution of the Helmholtz equation in the unit square subject to non-homogeneous Dirichlet, Neumann and mixed boundary conditions, and also periodic boundary conditions. The methods are constructed so that they are: (a) of optimal accuracy, and (b) compact | en |
dc.description.abstract | that is, the collocation equations can be solved using a matrix decomposition algorithm involving only tridiagonal linear systems. Using fast Fourier transforms, the computational cost of such an algorithm is O(N2logN) on an N×N uniform partition of the unit square. The results of numerical experiments demonstrate the optimal global accuracy of the methods as well as superconvergence phenomena. In particular, it is shown that the methods are fourth-order accurate at the nodes of the partition. © 2011 Elsevier Inc. | en |
dc.source | Journal of Computational Physics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-79951773388&doi=10.1016%2fj.jcp.2010.12.041&partnerID=40&md5=f8eed18619b79201f59056aab1fdd51e | |
dc.subject | Fast Fourier transforms | en |
dc.subject | Matrix decomposition algorithms | en |
dc.subject | Superconvergence | en |
dc.subject | Helmholtz equation | en |
dc.subject | Optimal global convergence rates | en |
dc.subject | Quadratic spline collocation | en |
dc.subject | Tridiagonal linear systems | en |
dc.title | Compact optimal quadratic spline collocation methods for the Helmholtz equation | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.jcp.2010.12.041 | |
dc.description.volume | 230 | |
dc.description.issue | 8 | |
dc.description.startingpage | 2880 | |
dc.description.endingpage | 2895 | |
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.description.notes | <p>Cited By :8</p> | en |
dc.source.abbreviation | J.Comput.Phys. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |