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Keywords: Bezier function
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Proceedings Papers

Proc. ASME. IDETC-CIE2013, Volume 2A: 33rd Computers and Information in Engineering Conference, V02AT02A002, August 4–7, 2013
Paper No: DETC2013-12269
... Boundary value problems on a rectangular domain can also be solved through non domain discretization techniques. These methods yield high order continuous solutions. One such method, based on Bézier functions and developed by the author, can solve linear, nonlinear, ordinary, partial, single...
Proceedings Papers

Proc. ASME. IDETC-CIE2010, Volume 3: 30th Computers and Information in Engineering Conference, Parts A and B, 815-825, August 15–18, 2010
Paper No: DETC2010-28486
... differential equations Bezier function data approximation MATLAB 1 Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference August 15 18, 2010, Montreal, Quebec, Canada DETC2010-28486 INVERSE SOLUTION TO THE COUPLED...
Proceedings Papers

Proc. ASME. IDETC-CIE2009, Volume 2: 29th Computers and Information in Engineering Conference, Parts A and B, 357-365, August 30–September 2, 2009
Paper No: DETC2009-86331
... of itself and its derivatives, and integrated using particular boundary conditions would generate the given data. Parametric Bezier functions are excellent candidates for these functions. They allow efficient approximation of data and its derivative content. The Bezier function is smooth and continuous...
Proceedings Papers

Proc. ASME. IDETC-CIE2009, Volume 2: 29th Computers and Information in Engineering Conference, Parts A and B, 9-20, August 30–September 2, 2009
Paper No: DETC2009-86330
... 14 07 2010 Bezier functions of two independent variables are excellent vehicles for three dimensional data reduction that require preservation of derivative content. They can be applied to both smooth and noisy data. They represent the original data with good fidelity...
Proceedings Papers

Proc. ASME. IDETC-CIE2008, Volume 3: 28th Computers and Information in Engineering Conference, Parts A and B, 463-473, August 3–6, 2008
Paper No: DETC2008-49101
... 24 07 2009 Bezier functions, which are Bezier curves constrained to behave like functions, are excellent for representing smooth and continuous function of high degree, over the entire range of the independent variable. They provide excellent solutions to systems of linear, nonlinear...
Proceedings Papers

Proc. ASME. IDETC-CIE2007, Volume 2: 27th Computers and Information in Engineering Conference, Parts A and B, 69-80, September 4–7, 2007
Paper No: DETC2007-35439
... 22 05 2009 This paper presents a methodology for generating solutions of non linear partial differential equations through Bezier functions. These functions define corresponding Bezier surfaces using a bipolynomial Bernstein basis function. The solution, or essentially the coefficients...
Proceedings Papers

Proc. ASME. IDETC-CIE2005, Volume 3: 25th Computers and Information in Engineering Conference, Parts A and B, 101-110, September 24–28, 2005
Paper No: DETC2005-84604
... This paper establishes a new class of analytical solutions for nonlinear boundary value problems defined by systems of ordinary differential equations. This class uses Bezier functions derived from Bezier curves. Three engineering examples, (1) a fully developed laminar flow in a pipe...
Proceedings Papers

Proc. ASME. IDETC-CIE2006, Volume 3: 26th Computers and Information in Engineering Conference, 13-22, September 10–13, 2006
Paper No: DETC2006-99227
... Solutions in basic polynomial form are obtained for linear partial differential equations through the use of Bezier functions. The procedure is a direct extension of a similar technique employed for nonlinear boundary value problems defined by systems of ordinary differential equations...