Education

• Postdoc, Department of Computing Science, Umeå University, Sweden (Feb 2025-Feb 2026)
• Postdoc, Department of Mathematics and Mathematical Statistics, Umeå University, Sweden (Dec 2022-Dec 2024)
• Ph.D. (Mathematics), The University of Newcastle, Australia. (2018-2022)
• M.Sc.(Hons) Mathematics, BITS Pilani Goa Campus (2012-2017)
• B.E.(Hons) Mechanical Engineering, BITS Pilani Goa Campus (2012-2017)

Conferences

• WAVES Conference 2024, (30 Jun 2024 - 05 Jul 2024), Harnack House, Free University of Berlin. Abstract.
• ANZIAM 2021, Zoom Webinar
• AUSTMS 2020, Zoom Webinar
• ANZIAM 2020, Hunter Valley.
• 34th International Workshop on Water Waves and Floating Bodies (IWWWFB), 07-10 Apr 2019 - Link to the abstract.
• Computational Techniques and Applications Conference 2018, CTAC2018, 27-30 Nov 2018
• International Conference on Recent Advances in PDE, 08-10 Jun 2017, IIT-Bombay
• International Conference on Recent Advances in Theoretical and Computational PDE, 05-09 Dec 2016, UIET Panjab University.

Seminars and Colloquium

• Mathematics of Sea Ice and Ice Sheets (MOSSI), Newcastle/Zoom Webinar - Slides
• Monash Workshop on Numerical Differential Equations and Applications 2020, Monash University, Melbourne - Slides
• NSW-ACT ANZIAM Annual Branch Meeting, 25 Nov 2019 - Link
• Analysis and PDE Joint Seminar, University of Sydney, Held at Newcastle, 15-16 April 2019 - Link.
• NSW-ACT ANZIAM Annual Branch Meeting, 19-20 Nov 2018.

Publications

• Kalyanaraman, B., Krumbiegel, F., Maier, R., & Wang, S., (2026). Enriched higher-order multiscale approaches with applications to wave propagation. Submitted arXiv [Math.NA]. https://arxiv.org/abs/2605.30118
• Kalyanaraman, B., Krumbiegel, F., Maier, R., & Wang, S., (2025). Optimal higher-order convergence rates for parabolic multiscale problems. Accepted for publication in SIAM Journal of Numerical Analysis arXiv [Math.NA]. https://arxiv.org/abs/2510.09514
• Duru, K., Kalyanaraman, B., Wang, S., (2025). On the stability analysis of the perfectly matched layer for the elastic wave equation in layered media. Journal of Computational Physics, 114268. https://doi.org/10.1016/j.jcp.2025.114268
• Danumjaya, P., Balaje, K., (2022). Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation. Journal of Analysis 30, 1407–1426. https://doi.org/10.1007/s41478-022-00406-0
• Kalyanaraman, B., Meylan, M. H., Lamichhane, B. P., Bennetts, L. G., (2020). iceFEM: A FreeFem package for wave induced ice-shelf vibrations. Journal of Open Source Software, 6(59), 2939, https://doi.org/10.21105/joss.02939
• Kalyanaraman, B., Meylan, M. H., Bennetts, L. G., Lamichhane, B. P., (2020). A coupled fluid–elasticity model for the wave forcing of an ice-shelf. Journal of Fluids and Structures, 97, 103074, https://doi.org/10.1016/j.jfluidstructs.2020.103074
• Kalyanaraman, B., Meylan, M. H., Lamichhane, B. P, (2020). Coupled Brinkman and Kozeny–Carman Model for Railway Ballast Washout Using the Finite Element Method. Journal of the Royal Society of New Zealand, 1-14.. https://doi.org/10.1080/03036758.2020.1789678.
• Kalyanaraman, B., Lamichhane, B. P., Meylan, M. H., (2018). A gradient recovery method based on an oblique projection for virtual element method. ANZIAM Journal, 60, 187-200, https://doi.org/10.21914/anziamj.v60i0.14041
• Kalyanaraman, B., Bennetts, L. G., Lamichhane, B. P., Meylan, M. H., (2019). On the shallow water limit for modelling ocean-wave induced ice-shelf vibrations. Wave Motion 90, 1–16, https://doi.org/10.1016/j.wavemoti.2019.04.004
• Lamichhane, B. P., Kumar, A. & Kalyanaraman, B., (2018). A mixed finite element method for elliptic optimal control problems using a three-field formulation. ANZIAM Journal, 59, 97-111, https://doi.org/10.21914/anziamj.v59i0.12643

Awards and Achievements

• Google Summer of Code 2021 with NumFOCUS/Gridap.jl
• Selected for an International PhD Summer School on Ocean Engineering conducted by the University of Dundee, Scotland and Harbin Engineering University, China. The workshop was fully funded and included a cash prize of approx. A$1000.

Undergraduate Research Experience

• Graduate Thesis at BITS Pilani Goa Campus (Aug 2016–May 2017).
• Summer Intern under Visiting Students Research Programme, TIFR-CAM Bangalore (2016, 2017).

Programming

• Languages (Current Usage):
  • Julia 65%
  • MATLAB 25%
  • C++ 3.33%
  • Fortran 3.33%
  • Python 3.33%
• Packages: FreeFem, LaTeX, Gridap.jl
• Version Control: Git