17 citations · 25 across the 10 of their papers we have counts for
10 papers
WENO interpolations and reconstructions using data bounded polynomial approximation
Sabana Parvin, Ritesh Kumar Dubey
This work characterizes the structure of third and forth order WENO weights by deducing data bounded condition on third order polynomial approximations. Using these conditions, non…
Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux
Ritesh Kumar Dubey
This work frames the problem of constructing non-oscillatory entropy stable fluxes as a least square optimization problem. A flux sign stability condition is defined for a pair of…
Parameter-uniform fitted mesh higher order finite difference scheme for singularly perturbed problem with an interior turning point
Vikas Gupta, Sanjay K. Sahoo, Ritesh K. Dubey
In this paper, a parameter-uniform fitted mesh finite difference scheme is constructed and analyzed for a class of singularly perturbed interior turning point problems. The solutio…
Development of a new sixth order accurate compact scheme for two and three dimensional Helmholtz equation
Neelesh Kumar, Ritesh Kumar Dubey
In this work, a new compact sixth order accurate finite difference scheme for the two and three-dimensional Helmholtz equation is presented. The main significance of the proposed s…
A generalized framework to construct third order WENO weights using weight limiter functions
Ritesh Kumar Dubey, Sabana Parvin
The main aim of this work is not to improve any existing non-linear weight but to give a generalized framework for the construction of non-linear weights to get non-oscillatory thi…
Accuracy Preserving ENO and WENO Schemes using Novel Smoothness Measurement
Biswarup Biswas, Ritesh Kumar Dubey
A novel procedure is given for choosing smoothest stencil to construct less oscillatory ENO schemes. The procedure is further used to define smoothness parameter in the non-linear…