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A New Meshless Collocation Method for Partial Differential Equations: New method for the solution of PDEs - Couverture souple
Synopsis
A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to select a suitable stencil for the construction of the shape functions and their derivatives. This search technique is subject to a monitoring procedure which selects appropriate stencil in order to keep the condition number of the resulting linear systems small. Various meshless collocation schemes for the solution of elliptic, parabolic and hyperbolic PDEs are investigated for the proposed method. Different types of PDEs are studied as test cases and all of the computational results are examined.
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À propos de l?auteur
Born in 1978 at Dhaka, Bangladesh. Currently working as a Research Assistant at IAG, University of Stuttgart. To be appeared for Dr.-Ing degree in 2011. Graduation from Shahjalal University of Science & Technology (SUST), Bangladesh in Applied Mathematics and MSc. degree in Computational Sciences in Engineering [CSE] from TU Braunschweig, Germany.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurLAP Lambert Academic Publishing
- Date d'édition2011
- ISBN 10 3844301992
- ISBN 13 9783844301991
- ReliureBroché
- Langueanglais
- Nombre de pages108
- Coordonnées du fabricantnon disponible
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A New Meshless Collocation Method for Partial Differential Equations
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3844301992
ISBN 13 : 9783844301991
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kamruzzaman MohammadBorn in 1978 at Dhaka, Bangladesh. Currently working as a Research Assistant at IAG, University of Stuttgart. To be appeared for Dr.-Ing degree in 2011. Graduation from Shahjalal University of Science & Technology. N° de réf. du vendeur 5470706
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A New Meshless Collocation Method for Partial Differential Equations : New method for the solution of PDEs
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3844301992
ISBN 13 : 9783844301991
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to select a suitable stencil for the construction of the shape functions and their derivatives. This search technique is subject to a monitoring procedure which selects appropriate stencil in order to keep the condition number of the resulting linear systems small. Various meshless collocation schemes for the solution of elliptic, parabolic and hyperbolic PDEs are investigated for the proposed method. Different types of PDEs are studied as test cases and all of the computational results are examined. N° de réf. du vendeur 9783844301991
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A New Meshless Collocation Method for Partial Differential Equations
Edité par
LAP LAMBERT Academic Publishing Jan 2011, 2011
ISBN 10 : 3844301992
ISBN 13 : 9783844301991
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to select a suitable stencil for the construction of the shape functions and their derivatives. This search technique is subject to a monitoring procedure which selects appropriate stencil in order to keep the condition number of the resulting linear systems small. Various meshless collocation schemes for the solution of elliptic, parabolic and hyperbolic PDEs are investigated for the proposed method. Different types of PDEs are studied as test cases and all of the computational results are examined. 108 pp. Englisch. N° de réf. du vendeur 9783844301991
Quantité disponible : 2 disponible(s)
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A New Meshless Collocation Method for Partial Differential Equations
Edité par
LAP LAMBERT Academic Publishing Jan 2011, 2011
ISBN 10 : 3844301992
ISBN 13 : 9783844301991
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to select a suitable stencil for the construction of the shape functions and their derivatives. This search technique is subject to a monitoring procedure which selects appropriate stencil in order to keep the condition number of the resulting linear systems small. Various meshless collocation schemes for the solution of elliptic, parabolic and hyperbolic PDEs are investigated for the proposed method. Different types of PDEs are studied as test cases and all of the computational results are examined.Books on Demand GmbH, Überseering 33, 22297 Hamburg 108 pp. Englisch. N° de réf. du vendeur 9783844301991
Quantité disponible : 2 disponible(s)