10 citations · 23 across the 5 of their papers we have counts for
5 papers
Fast accurate approximation of convolutions with weakly singular kernel and its applications
Awanish Kumar Tiwari, Ambuj Pandey, Jagabandhu Paul +1
In this article, we present an rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernel…
Fourier smoothed pre-corrected trapezoidal rule for solution of Lippmann-Schwinger integral equation
Ambuj Pandey, Akash Anand
For the numerical solution of the Lippmann-Schwinger equation, while the pre-corrected trapezoidal rule converges with high-order for smooth compactly supported densities, it exhib…
Direct/iterative hybrid solver for scattering by inhomogeneous media
Oscar P. Bruno, Ambuj Pandey
This paper presents a fast high-order method for the solution of two-dimensional problems of scattering by penetrable inhomogeneous media, with application to high-frequency config…
Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
Ambuj Pandey, Akash Anand
In recent years, several fast solvers for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by pene…
An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface
Akash Anand, Ambuj Pandey, B. V. Rathish Kumar +1
This text proposes a fast, rapidly convergent Nyström method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic…