The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes

Mathematics of Computation

Volumn 64, Issue 210, 1995, Pages 581-589

  Tang, Tao ^a   Teng, Zhen Huan ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b PEKING UNIVERSITY   (China)

Author keywords

Error estimate; Lower error bound; Monotone difference scheme

Indexed keywords

EID: 84968519569     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1995-1270625-9     Document Type: Article

References (8)

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6. N. N. Kuznetsov, On stable methods for solving non-linear first order partial differential equations in the class of discontinuous functions, Topics in Numerical Analysis 3 (Proc. Roy. Irish Acad. Conf.) (J. J. H. Miller, ed.), Academic Press, London, 1977, pp. 183-197.
7. M. M. Loève, Probability theory I, Graduate Texts in Math., vol. 45, Springer-Verlag, 1977, pp. 22-23.
8. R. Sanders, On convergence of monotone finite difference schemes with variable spatial differencing, Math. Comp. 40 (1983), 91-106.