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Spurious induced oscillations have been one of the fundamental problem associated with numerical approximation of the solution of hyperbolic conservation laws. In this note, using notion of data dependent stability,… Click to show full abstract
Spurious induced oscillations have been one of the fundamental problem associated with numerical approximation of the solution of hyperbolic conservation laws. In this note, using notion of data dependent stability, generic three point schemes for scalar case are analysed to show that the induced oscillations depend on initial data too. Further, it is concluded that it is not possible to have an initial data independent, ’uniformly’ non-oscillatory three point fixed stencil scheme irrespective of its accuracy.
Journal Title: Differential Equations and Dynamical Systems
Year Published: 2019
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