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❇️ سخنران : دکتر مریم محمدی

✴️ موضوع سخنرانی :

Scattered data interpolation with RBFs: theories and application to solving PDEs

💠 #چکیده :

In this talk, I will focus on general concepts in scattered data interpolation problem with radial basis functions (RBFs).
My talk is divided to 3 different parts including theory of RBFs in scattered data interpolation problem, its application to solving PDEs, and preparing the audiences with useful MATLAB codes for understanding better the theory and all the applications discussed. I will start with introducing standard bases of kernel translates in multivariate interpolation problem as a results of the MairhuberCurtis Theorem. It is justified that RBF interpolation works in many cases where polynomial interpolation has failed. In the sequel, I will introduce positive definite and conditionally positive definite RBFs and characterize them by using Fourier transform and more comprehensible approach based on the definition of completely monotone and multiply monotone functions. Then two generic error estimates are given based on the power function and fill-distance measure. Finally, two ordinary and partial differential equations are solved by using RBF collocation method.


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

📢کانال تلگرام :
@WeCademy

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