Jumping with variably scaled discontinuous kernels (VSDKs)
نویسندگان
چکیده
منابع مشابه
Interpolation with Variably Scaled Kernels
Within kernel–based interpolation and its many applications, it is a well–documented but unsolved problem to handle the scaling or the shape parameter. We consider native spaces whose kernels allow us to change the kernel scale of a d–variate interpolation problem locally, depending on the requirements of the application. The trick is to define a scale function c on the domain Ω ⊂ Rd to transfo...
متن کاملInterpolating functions with gradient discontinuities via Variably Scaled Kernels
In kernel–based methods, how to handle the scaling or the choice of the shape parameter is a well– documented but still an open problem. The shape or scale parameter can be tuned by the user according to the applications, and it plays a crucial role both for the accuracy of the method and its stability. In [7], the Variably Scaled Kernels (VSKs) were introduced. The idea is to vary the scale in...
متن کاملHigh Accuracy Method for Integral Equations with Discontinuous Kernels
whose kernel k(t, s) is either discontinuous or not smooth along the main diagonal, is presented. This scheme is of spectral accuracy when k(t, s) is infinitely differentiable away from the diagonal t = s, and is also applicable when k(t, s) is singular along the boundary, and at isolated points on the main diagonal. The corresponding composite rule is described. Application to integro-differen...
متن کاملNyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels
A new highly accurate numerical approximation scheme based on a Gauss type Clenshaw-Curtis quadrature for Fredholm integral equations of the second kind
متن کاملVolterra Equations of the First kind with Discontinuous Kernels in the Theory of Evolving Systems Control
The Volterra integral equations of the first kind with piecewise smooth kernel are considered. Such equations appear in the theory of optimal control of the evolving systems. The existence theorems are proved. The method for constructing approximations of parametric families of solutions of such equations is suggested. The parametric family of solutions is constructed in terms of a logarithmic ...
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: BIT Numerical Mathematics
سال: 2019
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-019-00786-z