Weakly nonoscillatory schemes for scalar conservation laws

نویسندگان

  • Kirill Kopotun
  • Marian Neamtu
  • Bojan Popov
چکیده

A new class of Godunov-type numerical methods (called here weakly nonoscillatory or WNO) for solving nonlinear scalar conservation laws in one space dimension is introduced. This new class generalizes the classical nonoscillatory schemes. In particular, it contains modified versions of MinMod and UNO. Under certain conditions, convergence and error estimates for WNO methods are proved.

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عنوان ژورنال:
  • Math. Comput.

دوره 72  شماره 

صفحات  -

تاریخ انتشار 2003