Correct Mean Value Interpolation On Ellipse
نویسندگان
چکیده
منابع مشابه
MEAN VALUE INTERPOLATION ON SPHERES
In this paper we consider multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have concentric spheres. Indeed, we consider the problem in three variables when it is not correct.
متن کاملBivariate mean value interpolation on circles of the same radius
We consider bivariate mean-value interpolationproblem, where the integrals over circles are interpolation data. In this case the problem is described over circles of the same radius and with centers are on astraight line and it is shown that in this case the interpolation is not correct.
متن کاملTransfinite mean value interpolation
Transfinite mean value interpolation has recently emerged as a simple and robust way to interpolate a function f defined on the boundary of a planar domain. In this paper we study basic properties of the interpolant, including sufficient conditions on the boundary of the domain to guarantee interpolation when f is continuous. Then, by deriving the normal derivative of the interpolant and of a m...
متن کاملbivariate mean value interpolation on circles of the same radius
we consider bivariate mean-value interpolationproblem, where the integrals over circles are interpolation data. in this case the problem is described over circles of the same radius and with centers are on astraight line and it is shown that in this case the interpolation is not correct.
متن کاملTransfinite mean value interpolation in general dimension
Mean value interpolation is a simple, fast, linearly precise method of smoothly interpolating a function given on the boundary of a domain. For planar domains, several properties of the interpolant were established in a recent paper by Dyken and the second author, including: sufficient conditions on the boundary to guarantee interpolation for continuous data; a formula for the normal derivative...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Interpolation and Approximation in Scientific Computing
سال: 2015
ISSN: 2194-3907
DOI: 10.5899/2015/jiasc-00077