2 papers
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…
math.NA2025
A general correction for numerical integration rules over piece-wise continuous functions
Shipra Mahata, Samala Rathan, Juan Ruiz-Ãlvarez +1
This article presents a novel approach to enhance the accuracy of classical quadrature rules by incorporating correction terms. The proposed method is particularly effective when t…