Fast, high-order methods for wave propagation problems
Fast, and rapidly convergent quadrature for singular integral operators
High-order solver for partial differential and integral equations
(with O. P. Bruno) Direct/Iterative Hybrid Solver for Scattering by Inhomogeneous Media, SIAM Journal on Scientific Computing (2024), Volume 46, Pages A1298-A1326.
(with A. Anand, B.V. R. Kumar and J. Paul) Fast rapidly convergent penetrable scattering computations, Advanced Modeling and Simulation in Engineering Sciences, Volume 11, Article Number 2 (2024).
(with A. K. Tiwari and A. Anand) A fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic media, Computers and Mathematics with Applications, Volume 154, Pages 58-64 (2024).
(with A. K. Tiwari, A. Anand and J. Paul) A fast rapidly convergent method for approximation of convolutions with applications to wave scattering and some other problems, Journal of Computational Physics, Volume 459, 111119 (2022).
(with A. Anand) Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface, Journal of Computational Physics, Volume 376, Pages 767-785 (2019).
(with A. Anand, B. V. R. Kumar and J. Paul) An effcient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface, Journal of Computational Physics, Volume 311, Pages 258-274 (2016).
(with O. P. Bruno and K. Y. Poojara) . ``Truncated Fourier Filtering" algorithm for fast and high-order numerical evaluation of convolution operators in general domains. 16th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), June 30-July 05, 2024, Harnack House (Max Planck Society), Berlin, Germany.
(with A. Anand and B. V. R. Kumar) A high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media in three dimensions. 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
(with A. Anand and A. K. Tiwari) A high-order Nyström solver for electromagnetic scattering from orthotropic media. 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
(with J. Paul, A. Anand and B. V. R. Kumar) A high-order solver for inhomogeneous penetrable scattering in two dimensions. 12th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 20-24, 2015, Karlsruhe Institute of Technology, Germany.
(with A. Anand and J. Paul) A high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media in two dimensions. 11th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), June 3-7, 2013, Gammarth, Tunisia.
(with J. Singh, J. Rammohan and A. Anand) The earth gravitational field model for inertial navigation of space vehicle. National Conference on Applications and Challenges in Space Based Navigation, April 17-18, 2013.
(with A. Anand) Fourier smoothed pre-corrected trapezoidal rule for solution of Lippmann-Schwinger integral equation, Preprint (2020)