A new approach to soft sets, soft multisets and their properties. - B. K. Tripathy 001; K. R. Arun (Int. J. Reason. based Intell. Syst., 2015)

Asymptotic Preserving and Low Mach Number Accurate IMEX Finite Volume Schemes for the Euler Equations. - K. R. Arun; Saurav Samantaray (CoRR, 2019)

Asymptotic Preserving Low Mach Number Accurate IMEX Finite Volume Schemes for the Isentropic Euler Equations. - K. R. Arun; Saurav Samantaray (J. Sci. Comput., 2020)

Analysis of an asymptotic preserving low mach number accurate IMEX-RK scheme for the wave equation system. - K. R. Arun; Arnab J. Das Gupta; Saurav Samantaray (Appl. Math. Comput., 2021)

A Unified Asymptotic Preserving and Well-balanced Scheme for the Euler System with Multiscale Relaxation. - K. R. Arun; M. Krishnan; Saurav Samantaray (CoRR, 2021)

A Semi-implicit Finite Volume Scheme for Dissipative Measure-valued Solutions to the Barotropic Euler System. - K. R. Arun; Amogh Krishnamurthy (CoRR, 2023)

An Asymptotic Preserving and Energy Stable Scheme for the Euler-Poisson System in the Quasineutral Limit. - K. R. Arun; Rahuldev Ghorai; Mainak Kar (CoRR, 2023)

An Asymptotic Preserving and Energy Stable Scheme for the Barotropic Euler System in the Incompressible Limit. - K. R. Arun; Rahuldev Ghorai; Mainak Kar (J. Sci. Comput., 2023)

An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling. - K. R. Arun; Mainak Kar (CoRR, 2024)

Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions. - K. R. Arun; Amogh Krishnamurthy; Mária Lukácová-Medvid'ová (CoRR, 2024)

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint. - K. R. Arun; Amogh Krishnamurthy; Harihara Maharana (CoRR, 2024)

An Energy Stable and Well-balanced Scheme for the Ripa System. - K. R. Arun; Rahuldev Ghorai (CoRR, 2024)

High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler-Poisson System in the Quasineutral Limit. - K. R. Arun; Nicolas Crouseilles; Saurav Samantaray (J. Sci. Comput., 2024)

An asymptotic preserving and energy stable scheme for the Euler system with congestion constraint. - K. R. Arun; Amogh Krishnamurthy; H. Maharna (Appl. Math. Comput., 2025)

An asymptotic preserving scheme for the Euler-Poisson-Boltzmann system in the quasineutral limit. - K. R. Arun; Rahuldev Ghorai (Comput. Math. Appl., 2025)