🌐 #معرفی سخنرانان کارگاه بین‌المللی تخصصی توابع پایه شعاعی

❇️ سخنران : Milvia Rossini

✴️ موضوع سخنرانی :

ENO/WENO RBF Techniques for discontinuous fucntions

💠 #چکیده :

It is well-known that faithful recovery of a discontinuous function is a challenging problem: in this case any global or high-order linear approximation method suffers from the Gibbs phenomenon. Many different approaches for sensibly or completely reducing this phenomenon have been suggested and studied in the literature. In general they require to know or to estimate in advance the positions of the discontinuity points and an edge detection strategy is needed as preliminary step. On the other hand, Essentially Non-Oscillatory (ENO) and Weighted ENO (WENO) polynomial techniques have become very popular since they do not require a preliminary edge detection step and allow to considerably reduce oscillations near discontinuities by the use of suitable data dependent smoothness indicators. Polynomials can be replaced by radial basis functions and the shape parameter can be chosen in order to improve the accuracy. Here we discuss a new approach that consists in applying a parameter-dependent local multiquadric interpolant that incorporates the ENO/WENO techniques in the computation of the locally optimized shape parameter. The resulting nonlinear adaptive estimation of the shape parameter leads to accurate reconstructions in the smooth regions and to sharp solution profiles near jump discontinuities avoiding Gibbs phenomena.

📝 ثبت نام (رایگان) از طریق لینک زیر:
https://wecademy.ir/radial-basis/

📢کانال تلگرام :
@WeCademy

⭕️ برای کسب اطلاعات بیشتر، به سایت یا کانال تلگرامی درج شده، مراجعه نمایید.