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- SRM Institute of Science and TechnologyIN16 papers
- SRM University, Andhra PradeshIN12 papers
- Indian Institute of Science BangaloreIN6 papers
- Indian Institute of Technology KanpurIN6 papers
- Chennai Mathematical InstituteIN4 papers
- Saha Institute of Nuclear PhysicsIN4 papers
- Tohoku UniversityJP4 papers
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- Homi Bhabha National InstituteIN3 papers
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4 papers · 1 filter
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 note on impossibility of uniformly non-oscillatory approximation
Ritesh Kumar Dubey
In this note we show that it is impossible to have data independent non-oscillatory three point finite difference scheme irrespective of its accuracy for a scalar hyperbolic initia…
Local principle satisfying high order total variation diminishing approximation for non-sonic data extrema
Ritesh Kumar Dubey, Biswarup Biswas, Vikas Gupta
The main contribution of this work is to construct higher than second order accurate total variation diminishing (TVD) schemes which can preserve high accuracy at non-sonic extrema…
On the stability of Forward in Time and Centred in Space (FTCS) scheme for scalar hyperbolic equation
Ritesh Kumar Dubey
It is well known that Forward Time and Centred in Space (FTCS) scheme for scalar Hyperbolic Conservation Law (HCL) is unconditionally unstable. The main contribution of this work t…