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- Kansa_method abstract "E. J. Kansa in very early 1990s made the first attempt to extend radial basis function (RBF), which was then quite popular in scattered data processing and function approximation, to the solution of partial differential equations in the strong-form collocation formulation. His RBF collocation approach is inherently meshless, easy-to-program, and mathematically very simple to learn. Before long, this method is known as the Kansa method in academic community.Because the RBF uses the one-dimensional Euclidean distance variable irrespective of dimensionality, the Kansa method is independent of dimensionality and geometric complexity of problems of interest. The method is a domain-type numerical technique in the sense that the problem is discretized not only on the boundary to satisfy boundary conditions but also inside domain to satisfy governing equation.In contrast, there is another type of RBF numerical methods, called boundary-type RBF collocation method, such as the method of fundamental solution, boundary knot method, singular boundary method, boundary particle method, and regularized meshless method, in which the basis functions, also known as kernel function, satisfy the governing equation and are often fundamental solution or general solution of governing equation. Consequently, only boundary discretization is required.Since the RBF in the Kansa method does not necessarily satisfy the governing equation, one has more freedom to choose a RBF. The most popular RBF in the Kansa method is the multiquadric (MQ), which usually shows spectral accuracy if an appropriate shape parameter is chosen.".
- Kansa_method wikiPageExternalLink MKM.htm.
- Kansa_method wikiPageID "35705190".
- Kansa_method wikiPageLength "11660".
- Kansa_method wikiPageOutDegree "15".
- Kansa_method wikiPageRevisionID "683636649".
- Kansa_method wikiPageWikiLink Boundary_element_method.
- Kansa_method wikiPageWikiLink Boundary_knot_method.
- Kansa_method wikiPageWikiLink Boundary_particle_method.
- Kansa_method wikiPageWikiLink Boundary_value_problem.
- Kansa_method wikiPageWikiLink Category:Partial_differential_equations.
- Kansa_method wikiPageWikiLink Finite_element_method.
- Kansa_method wikiPageWikiLink Method_of_fundamental_solutions.
- Kansa_method wikiPageWikiLink Partial_differential_equation.
- Kansa_method wikiPageWikiLink Radial_basis_function.
- Kansa_method wikiPageWikiLink Singular_boundary_method.
- Kansa_method wikiPageWikiLinkText "Kansa method".
- Kansa_method wikiPageUsesTemplate Template:!.
- Kansa_method wikiPageUsesTemplate Template:Context.
- Kansa_method wikiPageUsesTemplate Template:Other_uses.
- Kansa_method wikiPageUsesTemplate Template:Reflist.
- Kansa_method subject Category:Partial_differential_equations.
- Kansa_method type Page.
- Kansa_method comment "E. J. Kansa in very early 1990s made the first attempt to extend radial basis function (RBF), which was then quite popular in scattered data processing and function approximation, to the solution of partial differential equations in the strong-form collocation formulation. His RBF collocation approach is inherently meshless, easy-to-program, and mathematically very simple to learn.".
- Kansa_method label "Kansa method".
- Kansa_method sameAs Q6364428.
- Kansa_method sameAs m.0jt3p_4.
- Kansa_method sameAs Q6364428.
- Kansa_method sameAs Kansa方法.
- Kansa_method wasDerivedFrom Kansa_method?oldid=683636649.
- Kansa_method isPrimaryTopicOf Kansa_method.