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Research Group

Current Post-Doctoral Fellows

Current Graduate Students

Past Graduate Students

Past Post-Doctoral Fellows

Publications

  1. (with S. Chavan and R. Nailwal) Complete monotonicity of rational functions in two variables and toral m-isometric pairs, Journal of Operator Theory, to appear.
  2. (with J. Paul, A. Pandey and B. V. R. Kumar) Fast rapidly convergent penetrable scattering computations, Advanced Modeling and Simulation in Engineering Sciences, Volume 11, Article Number 2 (2024).
  3. (with A. K. Tiwari and A. Pandey) A fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic media, Computers and Mathematics with Applications, Volume 154, Pages 58-64 (2024).
  4. (with A. K. Tiwari, A. Pandey 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).
  5. (with Y. Boubendir, F. Ecevit and S. Lazergui) Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems, Numerische Mathematik, Volume 150, Pages 803-847 (2022).
  6. (with S. Chavan, Z. J. Jabłoński and J. Stochel) The Cauchy dual subnormality problem for cyclic 2-isometries, Advances in Operator Theory, Volume 5, Issue 3, Pages 1061–1077 (2020).
  7. (with J. Ovall, S. Reynolds and S. Weisser) Trefftz finite elements on curvilinear polygons, SIAM Journal of Scientific Computing, Volume 42, Issue 2, Pages A1289-A1316 (2020).
  8. (with S. Chavan and S. Trivedi) Analytic m-isometries without the wandering subspace property, Proceedings of the American Mathematical Society, Volume 148, Number 5, Pages 2129-2142 (2020).
  9. (with F. Ecevit and Y. Boubendir) Galerkin boundary element methods for high-frequency multiple-scattering problems, Journal of Scientific Computing, Volume 83 (2020).
  10. (with S. Chavan, Z. J. Jabłoński and J. Stochel) A solution to the Cauchy dual subnormality problem for 2-isometries, Journal of Functional Analysis, Volume 277, Issue 12, 108292 (2019).
  11. (with A. K. Tiwari) A Fourier extension based numerical integration scheme for fast and high-order approximation of convolutions with weakly singular kernels, SIAM Journal of Scientific Computing, Volume 41, Issue 5, Pages A2772–A2794 (2019).
  12. (with S. Chavan, Z. J. Jabłoński and J. Stochel) Complete systems of unitary invariants for some classes of 2-isometries, Banach Journal of Mathematical Analysis, Volume 13, Pages 359-385 (2019).
  13. (with A. Pandey) 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).
  14. (with J. Ovall and S. Weisser) A Nyström-based finite element method on polygonal elements, Computers and Mathematics with Applications, Volume 75, Issue 11, Pages 3971-3986 (2018).
  15. (with S. Chavan) Module tensor product of subnormal modules need not be subnormal, Journal of Functional Analysis, Volume 272, Issue 11, Pages 4752-4761 (2017).
  16. (with S. Chavan) A Moment Problem and Joint q-isometry Tuples, Complex Analysis and Operator Theory, Volume 11, Issue 4, Pages 785-810 (2017).
  17. (with A. Pandey, 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).
  18. (with J. Ovall and C. Turc) Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners, Journal of Integral Equations and Applications, Volume 24, Issue 3, Pages 1-38 (2012).
  19. (with R. Dalmeya, I. Sharma and C. Upadhyay) Contact of a rigid cylindrical punch with an adhesive elastic layer, Journal of Adhesion, Volume 88, Issue 1, Pages 1-31 (2012).
  20. (with Y. Boubendir, F. Reitich and F. Ecevit) Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case, Numerische Mathematik, Vol. 114, No. 3, Pages 373-427 (2010).
  21. (with F. Reitich) An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions, Journal of Acoustical Society of America, Volume 121, Issue 5, Pages 2503-2514 (2007).

Proceedings

  1. (with F. Ecevit, Y. Boubendir and S. Lazergui) Galerkin boundary element methods for high-frequency sound-hard scattering problems. 14th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), August 25-30, 2019, Vienna University of Technology (TU Wien), Vienna, Austria.
  2. (with J. Paul and B. V. R. Kumar) Acoustic scattering by inhomogeneous media with piecewise smooth material properties. 13th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), May 15-19, 2017, University of Minnesota, Twin Cities, USA.
  3. (with A. Pandey 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.
  4. (with A. K. Tiwari and A. Pandey) 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.
  5. (with J. Paul, A. Pandey 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.
  6. (with A. Pandey 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.
  7. (with U. Anand and J. Singh) A fast and robust star identification algorithm for star tracker. National Conference on Applications and Challenges in Space Based Navigation, April 17-18, 2013.
  8. (with J. Singh, J. Rammohan and A. Pandey) 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.
  9. (with C. Turc, O. Bruno and J. Chaubell) Efficient solution of threedimensional problems of acoustic and electromagnetic scattering by open surfaces. 10th International Conference on Mathematical and Numerical Aspects of Waves (WAVES), July 25-29, 2011, Vancouver, Canada.

Others

  1. (with A. Pandey) Fourier smoothed pre-corrected trapezoidal rule for solution of Lippmann-Schwinger integral equation, Preprint (2020).
  2. A Fourier continuation framework for high-order approximations, Preprint (2018).