Numerical Linear Algebra Publications (Total 13)

Note: Below, ∗ denotes my Ph.D. student, † my M.S. student, and ‡ my B.Tech. student.

Preprints (Under-Review)
  1. N. P. Singh∗ and K. Ahuja. Stability Analysis of Inexact Solves in Moment Matching based Model Reduction. Preprint arXiv:1803.09283, 2025.

Refereed Journals
  1. K. Ahuja, B. Endtmayer, M. C. Steinbach, T. Wick. Multigoal-oriented Error Estimation and Mesh Adaptivity for Fluid–Structure Interaction. Journal of Computational and Applied Mathematics, vol. 412, article no. 114315, 2022.

  2. N. P. Singh* and K. Ahuja. Preconditioned Linear Solves for Parametric Model Order Reduction. International Journal of Computer Mathematics, Taylor & Francis, vol. 97 (7), pp. 1484 - 1502, 2020.

  3. N. P. Singh* and K. Ahuja. Reusing Preconditioners in Projection Based Model Order Reduction Algorithms. IEEE Access, vol. 8, pp. 133233 - 133247, 2020.

  4. R. Choudhary* and K. Ahuja. Inexact Linear Solves In Model Reduction of Bilinear Dynamical Systems. IEEE Access, vol. 7, pp. 72297 – 72307, 2019.

  5. R. Choudhary* and K. Ahuja. Stability Analysis of Bilinear Iterative Rational Krylov Algorithm. Linear Algebra and its Applications, Elsevier, vol. 538, pp. 56 - 88, 2018.

  6. K. Ahuja, P. Benner, E. de Sturler, and L. Feng. Recycling BiCGSTAB with an Application to Parametric Model Order Reduction. SIAM Journal on Scientific Computing, vol. 37(5), pp. S429 - S446, 2015.
    7. Code available here
  7. A. Amritkar, E. de Sturler, K. Świrydowicz, D. Tafti, and K. Ahuja. Recycling Krylov Subspaces for CFD Applications and a New Hybrid Recycling Solver. Journal of Computational Physics, Academic Press, Elsevier, vol. 303, pp. 222 - 237, 2015.

  8. K. Ahuja, E. de Sturler, S. Gugercin, and E. R. Chang. Recycling BiCG with an Application to Model Reduction. SIAM Journal on Scientific Computing, vol. 34(4), pp. A1925 - A1949, 2012.
    9. Code available here
  9. K. Ahuja, B. K. Clark, E. de Sturler, D. M. Ceperley, and J. Kim. Improved Scaling for Quantum Monte Carlo on Insulators. SIAM Journal on Scientific Computing, vol. 33(4), pp. 1837 - 1859, 2011.
    Most Downloaded, SIAM Journal on Scientific Computing, 2012

Refereed Conference Proceedings
  1. K. Ahuja, N. P. Singh*, and R. Choudhary*. Stability Analysis of the Robust Model Order Reduction Algorithm for Parametric Linear Dynamical Systems. In PAMM’23: Proc. in Applied Mathematics and Mechanics, (92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)), Wiley, Dresden (Germany), article no. e202300238, 2023.

Reports
  1. K. Ahuja, M. L. Parks, E. T. Phipps, A. G. Salinger, and E. de Sturler. Krylov Subspace Recycling for Climate Modeling and Uncertainty Quantification. In CSRI Summer Proc., Sandia National Labs, Albuquerque (NM, USA), pp. 103 - 111, 2010.

  2. J. M. Gray, R. Shimpa, K. Ahuja, Y. Dong et. al. Ribbon Formation for Electrical Interconnection. In Mathematical Modeling in Industry Reports, Institute for Mathematics and Its Applications, University of Minnesota, USA, 2008.