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