3 papers
math.NA2025
Efficient Numerical Evaluation of Triple Integral Using the Euler's Method and Richardson's Extrapolation
Shubhangini Gupta, Prashant Sharma, Tamal Pramanick
In this study, we employ Euler's method and Richardson's extrapolation to solve a triple integral, which is then transformed into a third-order initial value problem. Our objective…
math.NA2025
A Biologically Motivated Finite Difference Approach for Simulating Singularly Perturbed Vertical Motion in Human Gait
Shubhangini Gupta, Sourav Banerjee, Tamal Pramanick
In this study, we present a simulation-based numerical method for solving a class of singularly perturbed second-order differential equations that come from a simplified biological…
math.NA2021
A Hybrid-High Order Method for Quasilinear Elliptic Problems of Nonmonotone Type
Thirupathi Gudi, Gouranga Mallik, Tamal Pramanick
In this paper, we design and analyze a Hybrid-High Order (HHO) approximation for a class of quasilinear elliptic problems of nonmonotone type. The proposed method has several advan…