Research
Publications/ Preprints
- A convergent MUSCL-Hancock scheme for non-local conservation laws
Nikhil Manoj, G.D. Veerappa Gowda and Sudarshan Kumar K.
(preprint, 2025).
arXiv:2506.04176 - A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws
Nikhil Manoj, G.D. Veerappa Gowda, Sudarshan Kumar K.
(preprint, 2024).
arXiv:2412.18475 - Convergence analysis of a MUSCL-type central scheme for conservation laws with discontinuous flux
Nikhil Manoj and Sudarshan Kumar K.
IMA Journal of Numerical Analysis (to appear, 2025).
https://doi.org/10.1093/imanum/draf136 - Convergence of a second-order scheme for non-local conservation laws
Nikhil Manoj, G.D. Veerappa Gowda and Sudarshan Kumar K.
ESAIM: M2AN, 57(6), 3439–3481 (2023).
https://www.esaim-m2an.org/articles/m2an/abs/2023/06/m2an230129/m2an230129.html