Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations
Past experiments on Hamiltonian circuited simulations of the partial differential equation of the Poisson type have indicated the influences of the Hamiltonian circuits on algebraic structures of coefficients matrices. The need to tend to the usage of finite difference schemes is also observed. A ce...
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my.um.eprints.260272021-09-02T04:22:44Z http://eprints.um.edu.my/26027/ Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations Abdullah, Abdul Rahman Shariffudin, Rio Hirowati QA Mathematics Past experiments on Hamiltonian circuited simulations of the partial differential equation of the Poisson type have indicated the influences of the Hamiltonian circuits on algebraic structures of coefficients matrices. The need to tend to the usage of finite difference schemes is also observed. A certain Hamiltonian circuit is found to enable the decomposition of the space of simulated points into two subspaces. This paper reports that the space can in fact be separated into four subspaces. Numerical simulations are carried out using a 7-point finite difference star. The results are compared with those obtained when the simulated points are divided into only two disjoint sets. Taylor & Francis 2000 Article PeerReviewed Abdullah, Abdul Rahman and Shariffudin, Rio Hirowati (2000) Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations. International Journal of Computer Mathematics, 76 (1). pp. 105-117. ISSN 0020-7160 https://doi.org/10.1080/00207160008805012 doi:10.1080/00207160008805012 |
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QA Mathematics Abdullah, Abdul Rahman Shariffudin, Rio Hirowati Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
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Past experiments on Hamiltonian circuited simulations of the partial differential equation of the Poisson type have indicated the influences of the Hamiltonian circuits on algebraic structures of coefficients matrices. The need to tend to the usage of finite difference schemes is also observed. A certain Hamiltonian circuit is found to enable the decomposition of the space of simulated points into two subspaces. This paper reports that the space can in fact be separated into four subspaces. Numerical simulations are carried out using a 7-point finite difference star. The results are compared with those obtained when the simulated points are divided into only two disjoint sets. |
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Article |
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Abdullah, Abdul Rahman Shariffudin, Rio Hirowati |
author_facet |
Abdullah, Abdul Rahman Shariffudin, Rio Hirowati |
author_sort |
Abdullah, Abdul Rahman |
title |
Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
title_short |
Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
title_full |
Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
title_fullStr |
Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
title_full_unstemmed |
Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
title_sort |
simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations |
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Taylor & Francis |
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2000 |
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http://eprints.um.edu.my/26027/ https://doi.org/10.1080/00207160008805012 |
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1710675852449021952 |
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13.160551 |