A note on impossibility of uniformly non-oscillatory approximation

2015/05/23 by Ritesh Kumar Dubey, Dubey, Ritesh Kumar
Engineering · Mathematics · #35L04 #35L65 #35L67 #5M22 #65M12 #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1505.06977

openalex publication_date 2015/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 initial value problem.

Citations

• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

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