Improved weighted ENO scheme based on parameters involved in nonlinear weights. - Samala Rathan; G. Naga Raju (Appl. Math. Comput., 2018)

A modified fifth-order WENO scheme for hyperbolic conservation laws. - Samala Rathan; G. Naga Raju (Comput. Math. Appl., 2018)

Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws. - Samala Rathan; G. Naga Raju; Ashlesha A. Bhise (CoRR, 2019)

Arc length based WENO scheme for Hamilton-Jacobi Equations. - Samala Rathan; Biswarup Biswas (CoRR, 2019)

L1-type smoothness indicators based WENO scheme for nonlinear degenerate parabolic equations. - Samala Rathan; Rakesh Kumar 006; Ameya D. Jagtap (Appl. Math. Comput., 2020)

Construction and comparative study of Euler method with adaptive IQ and IMQ-RBFs. - Samala Rathan; Deepit Shah (CoRR, 2021)

Sixth order weighted essentially non-oscillatory schemes with Z-type nonlinear weighting procedure for nonlinear degenerate parabolic equations. - Jiaxi Gu; Samala Rathan (CoRR, 2022)

Adaptive IQ and IMQ-RBFs for solving Initial Value Problems: Adam-Bashforth and Adam-Moulton methods. - Samala Rathan; Deepit Shah; T. Hemanth Kumar; K. Sandeep Charan (CoRR, 2023)

Exponential approximation space reconstruction WENO scheme for dispersive PDEs. - Lavanya V. Salian; Samala Rathan (CoRR, 2023)

Numerical schemes for a class of nonlocal conservation laws: a general approach. - Jan Friedrich; Sanjibanee Sudha; Samala Rathan (Networks Heterog. Media, 2023)

A sixth-order central WENO scheme for nonlinear degenerate parabolic equations. - Samala Rathan; Jiaxi Gu (Comput. Appl. Math., 2023)

A novel central compact finite-difference scheme for third derivatives with high spectral resolution. - Lavanya V. Salian; Samala Rathan; Debojyoti Ghosh (CoRR, 2024)

Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions. - Lavanya V. Salian; Samala Rathan; Rakesh Kumar (CoRR, 2024)

A general correction for numerical integration rules over piece-wise continuous functions. - Shipra Mahata; Samala Rathan; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (J. Comput. Appl. Math., 2025)

Central schemes for systems of non-local balance laws. - Sanjibanee Sudha; Jan Friedrich; Samala Rathan (CoRR, 2025)

Higher-order conservative discretizations on arbitrarily varying non-uniform grids. - A. Arun Govind Neelan; Raimund Bürger; Manoj T. Nair; Samala Rathan (Comput. Appl. Math., 2025)

Explicit Runge-Kutta Methods with MQ and IMQ-Radial Basis Functions. - Shipra Mahata; Samala Rathan (CoRR, 2025)

Spectral Analysis of Node- and Cell-Centered Higher-Order Compact Schemes for Fully Discrete One and Two-Dimensional Convection-Dispersion Equation. - Lavanya V. Salian; Vivek S. Yadav; Samala Rathan; Rakesh Kumar (CoRR, 2025)