Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Scott A. Sarra"'
Autor:
Scott A. Sarra
Publikováno v:
Journal of Open Research Software, Vol 5, Iss 1 (2017)
Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of Partial Differential Equations in complexly shaped domains. The most straight forward approach used to evaluate the methods involves solv
Externí odkaz:
https://doaj.org/article/f52c88cf74ea4c77a22383ba6d4c98ae
Autor:
Scott A. Sarra, Clyde Meador
Publikováno v:
Nonlinear Analysis, Vol 16, Iss 3 (2011)
Multiple results in the literature exist that indicate that all computed solutions to chaotic dynamical systems are time-step dependent. That is, solutions with small but different time steps will decouple from each other after a certain (small) fini
Externí odkaz:
https://doaj.org/article/5a8d86894a9e40d5a2b87303b3cf6596
Autor:
Ari Aluthge, Scott A. Sarra
Publikováno v:
Journal of Applied Mathematics and Physics. 11:192-208
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca582c012ed1042cdc671bc5260c2043
https://doi.org/10.4236/jamp.2023.111013
https://doi.org/10.4236/jamp.2023.111013
A rational radial basis function method for accurately resolving discontinuities and steep gradients
Autor:
Yikun Bai, Scott A. Sarra
Publikováno v:
Applied Numerical Mathematics. 130:131-142
Radial Basis Function (RBF) methods have become important tools for scattered data interpolation and for solving partial differential equations (PDEs) in complexly shaped domains. When the underlying function is sufficiently smooth, RBF methods can p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f330f3c44fd9fcafe4505c76e0f5258
https://doi.org/10.1016/j.apnum.2018.04.001
https://doi.org/10.1016/j.apnum.2018.04.001
Autor:
Scott A. Sarra
Publikováno v:
Numerical Methods for Partial Differential Equations. 34:2008-2023
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0708525dfd6bee78d80538eb61691deb
https://doi.org/10.1002/num.22272
https://doi.org/10.1002/num.22272
Autor:
Scott A. Sarra, Samuel Cogar
Publikováno v:
Engineering Analysis with Boundary Elements. 75:36-45
Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of PDEs in complexly shaped domains. Several approaches for the evaluation of RBF methods are known. To date, the most noteworthy methods ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be3a8cb68660374d260fe50d953aa1d8
https://doi.org/10.1016/j.enganabound.2016.11.006
https://doi.org/10.1016/j.enganabound.2016.11.006
Publikováno v:
Journal of Applied Mathematics and Physics. :1354-1370
The Leapfrog method for the solution of Ordinary Differential Equation initial value problems has been historically popular for several reasons. The method has second order accuracy, requires only one function evaluation per time step, and is non-dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7726b58a4667f60577663d9765c704e4
https://doi.org/10.4236/jamp.2016.47145
https://doi.org/10.4236/jamp.2016.47145
Autor:
Scott A. Sarra
Publikováno v:
Engineering Analysis with Boundary Elements. 44:76-86
Scattered data interpolation using Radial Basis Functions involves solving an ill-conditioned symmetric positive definite (SPD) linear system (with appropriate selection of basis function) when the direct method is used to evaluate the problem. The s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f344e9916652afcfd3354cfc4895d83d
https://doi.org/10.1016/j.enganabound.2014.04.019
https://doi.org/10.1016/j.enganabound.2014.04.019
Autor:
Scott A. Sarra
Publikováno v:
Applied Mathematics and Computation. 218:9853-9865
Time-dependent advection–diffusion–reaction and diffusion–reaction equations are used as models in biology, chemistry, physics, and engineering. As representative examples, we focus on a chemotaxis model and a Turing system from biology and app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca74d032f73894273947823c007bbf06
https://doi.org/10.1016/j.amc.2012.03.062
https://doi.org/10.1016/j.amc.2012.03.062