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math.NA2025
Semi-Implicit Central scheme for Hyperbolic Systems of Balance Laws with Relaxed Source Term
Sudipta Sahu, Emanuele Macca, Rathan Samala
Quasi-linear hyperbolic systems with source terms introduce significant computational challenges due to the presence of a stiff source term. To address this, a finite volume Nessya…
math.NA2025
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, Rathan Samala +1
In this study, we present a comprehensive global spectral analysis of the convection dispersion equation, which is also referred to in specific contexts as the Korteweg de Vries (K…
math.NA2025
Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions
Shipra Mahata, Samala Rathan
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for sol…