3 papers
math.AP2026
Weakly-singular formulation of the Fractional Laplacian operator
Oscar P. Bruno, Sabhrant Sachan
This paper presents a new formulation of the fractional Laplacian operator in -dimensional space (). The proposed formulation expresses as a composi…
math.NA2025
Decay of Chebyshev coefficients and error estimates of associated quadrature on shrinking intervals
Krishna Yamanappa Poojara, Sabhrant Sachan, Ambuj Pandey
We analyze decay of Chebyshev coefficients and local Chebyshev approximations for functions of finite regularity on finite intervals, focusing on the framework where the interval l…
math.NA2025
Rectangular polar quadrature in 1D and its error analysis
Krishna Yamanappa Poojara, Sabhrant Sachan, Ambuj Pandey
This paper presents a one-dimensional analog of the Rectangular-Polar (RP) integration strategy and its convergence analysis for weakly singular convolution integrals. The key idea…