Second order partial differential equations for gradients of orthogonal polynomials in two variables
نویسندگان
چکیده
منابع مشابه
Sobolev Orthogonal Polynomials in Two Variables and Second Order Partial Differential Equations
We consider polynomials in two variables which satisfy an admissible second order partial differential equation of the form (*) Auxx + 2Buxy + Cuyy +Dux + Euy = u; and are orthogonal relative to a symmetric bilinear form de ned by '(p; q) = h ; pqi+ h ; pxqxi ; where A; ; E are polynomials in x and y; is an eigenvalue parameter, and are linear functionals on polynomials. We nd a condition for ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2005.09.029