Dr. Danyal Ahmad Assistant Professor

Dr. Danyal Ahmad

Assistant Professor

Qualifications:

  • Ph.D. Computer Science and Computational Mathematics (University of Insubria, Italy) 2024

  • MS Applied Mathematics (Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Pakistan) 2019

  • BS Mathematics (Islamia College University Peshawar, Pakistan) 2017

Research Interests:

  • Numerical linear algebra
  • Structured matrices
  • Spectral analysis of matrix-sequences
  • Numerical methods for fractional differential equations
  • Multigrid methods and preconditioning
Selected Publications

  1. Ahmad Danyal, Donatelli Marco, Mazza Mariarosa, Serra-Capizzano Stefano, Trotti Ken, “A smoothing analysis for multigrid methods applied to tempered fractional problems”, Linear and Multilinear Algebra, pp. 1-24, (2023), Taylor & Francis, 10.1080/03081087.2023.2242563.

  2. Ahmad Danyal, Donatelli Marco, Mazza Mariarosa, Serra-Capizzano Stefano, Trotti Ken, “A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring”, Mathematics, 12(12): pp. 1916, (2024), https://doi.org/10.3390/math12121916.

  3. Ghafoor Abdul, Hussain Manzoor, Ahmad Danyal, Arifeen Shams Ul, “Approximation of one and two-dimensional nonlinear generalized Benjamin-Bona-Mahony Burgers’ equation with local fractional derivative”, Computers & Mathematics with Applications, 172: pp. 125-133, (2024), Elsevier, https://doi.org/10.1016/j.camwa.2024.07.032.

  4. Ahmad Danyal, Khan Muhammad Faisal, Serra-Capizzano Stefano “Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures”, Mathematics, 13(3), 393. https://doi.org/10.3390/math13030393.