Výsledky vyhledávání - "A. G. Sifalakis"

Efficient numerical solution of the generalized Dirichlet–Neumann map for linear elliptic PDEs in regular polygon domains

Autor: A. G. Sifalakis, E. P. Papadopoulou, Y. G. Saridakis

Publikováno v: Journal of Computational and Applied Mathematics. 236(9):2515-2528

Summarization: A new and novel approach for analyzing boundary value problems for linear and for integrable nonlinear PDEs was recently introduced. For linear elliptic PDEs, an important aspect of this approach is the characterization of a generalize

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eae5366bc4ae3b6bac188df2540eeed

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The generalized Dirichlet–Neumann map for linear elliptic PDEs and its numerical implementation

Autor: A. G. Sifalakis, Y. G. Saridakis, Scott R. Fulton, Athanassios S. Fokas

Publikováno v: Journal of Computational and Applied Mathematics. 219(1):9-34

Summarization: A new approach for analyzing boundary value problems for linear and for integrable nonlinear PDEs was introduced in Fokas [A unified transform method for solving linear and certain nonlinear PDEs, Proc. Roy. Soc. London Ser. A 53 (1997

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Numerical Study of Iterative Methods for the Solution of the Dirichlet-Neumann Map for Linear Elliptic PDEs on Regular Polygon Domains

Autor: A. G. Sifalakis, E. P. Papadopoulou, Y. G. Saridakis

A generalized Dirichlet to Neumann map is one of the main aspects characterizing a recently introduced method for analyzing linear elliptic PDEs, through which it became possible to couple known and unknown components of the solution on the boundary

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84000256dacf13a24f415f49d27fbe09

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Fokas method for a multi-domain linear reaction-diffusion equation with discontinuous diffusivity

Autor: M Asvestas, A. G. Sifalakis, Y. G. Saridakis, E. P. Papadopoulou

Publikováno v: Journal of Physics: Conference Series. 490:012143

Motivated by proliferation-diffusion mathematical models for studying highly diffusive brain tumors, that also take into account the heterogeneity of the brain tissue, in the present work we consider a multi-domain linear reaction-diffusion equation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3046a1210f4d9c0b299d9fe480dcabf2
https://doi.org/10.1088/1742-6596/490/1/012143

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Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1+1 dimensions

Autor: A. G. Sifalakis, Dionyssios Mantzavinos, Y. G. Saridakis, Maria G. Papadomanolaki

Summarization: Gliomas are among the most aggressive forms of brain tumors. Over the last years mathematical models have been well developed to study gliomas growth. We consider a simple and well established mathematical model focused on proliferatio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4321042815546561f8d0d470f7919c84
http://purl.tuc.gr/dl/dias/E3E86BB8-69BE-43B5-A802-02948222C087

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Direct and iterative solution of the generalized dirichlet–deumann map for elliptic PDEs on square domains

Autor: Scott R. Fulton, E. P. Papadopoulou, Y. G. Saridakis, A. G. Sifalakis

Summarization: In this work we derive the structural properties of the Collocation coefficient matrix associated with the Dirichlet–Neumann map for Laplace’s equation on a square domain. The analysis is independent of the choice of basis function

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c548e2451a3cf5dfee1fdf6f9c4a5ee
http://purl.tuc.gr/dl/dias/C27ABBA2-F64D-4A17-954B-3BD57289B9EF

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