Sanjibanee Sudha's research while affiliated with Indian Institute of Petroleum (IIP) and other places
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Publications (2)
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate quadrature rule applied to the spatial discretization. Then, we apply a numerical flux function on the reduced problem. We present explicit conditions which such a numeri...
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. Thereby, we approximate in a first step the nonlocal term with an appropriate quadrature rule applied to the spatial discretization. Then, we apply a numerical flux function on the reduced problem. We present explicit conditions which such...
Citations
... In particular, stability estimates for non-local traffic flow equations have been derived in [24,54] and regularity results for solutions of these equations have been investigated in [10]. Also, there is a recent trend to derive general numerical schemes for non-local conservation laws, see [4,45,55]. Furthermore, the traveling wave solutions for Keywords and phrases. Non-local conservation laws, MUSCL method, second-order scheme, MUSCL-Hancock scheme, convergence analysis, entropy solution. ...
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