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Showing 2015 · math.NAShow all
3 papers · 2 filters
math.NA2015
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…
math.NA2015
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…
math.NA2015★ 4 cited
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…