Surendra Nepal

Postdoctoral Fellow

Department of mathematics and physics Faculty of Technology

surendra.nepal@lnu.se

+46 470-70 86 91

I am a Postdoctoral Fellow at the Department of Mathematics at Linnaeus University in Växjö. I received my Ph.D. in Mathematics from Karlstad University, Sweden in 2024 and my Master's degree in Mathematics from TU, Kaiserslautern, Germany.

Research

My research focuses on developing numerical methods for solving partial differential equations (PDEs), particularly on moving boundary problems. I have experience designing and implementing numerical algorithms, including finite element and random walk methods. Additionally, I have worked on developing numerical methods for two-scale elliptic-parabolic systems.

Publications

Article in journal (Refereed)

Raveendran, V., Nepal, S., Lyons, R., Eden, M., Muntean, A. (2025). Strongly Coupled Two-scale System with Nonlinear Dispersion : Weak Solvability and Numerical Simulation. Zeitschrift für angewandte Mathematik und Physik. 76.
Status: Published
Suciu, N., Nepal, S., Wondmagegne, Y., Ögren, M., Muntean, A. (2025). Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems : simulation results. Computational and Applied Mathematics. 44 (7).
Status: Published
Nepal, S., Ögren, M., Wondmagegne, Y., Muntean, A. (2023). Random walks and moving boundaries : Estimating the penetration of diffusants into dense rubbers. Probabilistic Engineering Mechanics. 74.
Status: Published
Nepal, S., Wondmagegne, Y., Muntean, A. (2023). Analysis of a fully discrete approximation to a moving-boundary problem describing rubber exposed to diffusants. Applied Mathematics and Computation. 442.
Status: Published
Nepal, S., Wondmagegne, Y., Muntean, A. (2022). Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber. International Journal of Numerical Analysis & Modeling. 19 (1). 101-125.
Status: Published
Nepal, S., Muntean, A., Wondmagegne, Y., Meyer, R., Kröger, N.H., et al. (2021). A Moving Boundary approach of Capturing diffusants Penetration into Rubber : FEM Approximation and Comparison with laboratory Measurements. KGK Kautschuk, Gummi, Kunststoffe. 74 (5). 61-69.
Status: Published

Licentiate thesis, monograph (Other academic) (Other academic)

Nepal, S. (2022). A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis. Licentiate Thesis. Karlstad, Karlstads universitet.

Manuscript (preprint) (Other academic)

Nepal, S., Raveendran, V., Eden, M., Lyons, R., Muntean, A. Numerical study of a strongly coupled two-scale system with nonlinear dispersion.