We consider a ill-posed problem-fractional numerical differentiation with a new method. We propose Fourier truncation method to compute fractional numerical derivatives. A Holder-type stability ...

Abstract: The numerical differentiation is a typical inverse problem, it is known to be ill-posed in the sense of Hadamard that small perturbations in the function to be differentiated may lead to ...

We investigate a novel adaptive choice rule of the Tikhonov regularization parameter in numerical differentiation which is a classic ill-posed problem. By assuming a ...

Abstract: We consider the problem of differentiating a multivariable function specified by noisy data. Following previous work for the single-variable case, we regularize the differentiation process, ...

The computation of gradients/derivatives holds paramount significance across various scientific and engineering domains. From the perspective of sensitivity analysis in forward modeling (Moresi et al.

The Midterm folder encapsulates a rigorous exploration of computational accuracy and error assessment, foundational to numerical methods, as detailed in Module 4 ...