Mai-Duy, Nam and Tran-Cong, Thanh (2007) Solving partial differential equations with point collocation and one-dimensional integrated interpolation schemes. In: 14th International Conference on Computational & Experimental Engineering and Sciences, 1-3 Jan 2007, Miami, Florida, USA.
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[Summary]: This lecture presents an overview of the Integral Collocation formulation for numerically solving partial differential equations (PDEs). However, due to space limitation, the paper only describes the latest development, namely schemes based only on one-dimensional (1D) integrated interpolation even in multi-dimensional problems. The proposed technique is examined with Chebyshev polynomials and radial basis functions (RBFs). The latter can be used in both regular and irregular domains. For both basis functions, the accuracy and convergence rates of the new technique are better than those of the differential formulation.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Lecture)|
|Additional Information:||Awaiting copyright advice.|
|Uncontrolled Keywords:||partial differential equations, point collocation, integral collocation formulation, one-dimensional integrated interpolation|
|Fields of Research (FOR2008):||01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations|
|Subjects:||290000 Engineering and Technology|
|Socio-Economic Objective (SEO2008):||UNSPECIFIED|
|Deposited On:||08 Feb 2008 09:37|
|Last Modified:||14 Nov 2011 12:12|
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