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- Andrei I. Tolstykh, Mikhail V. Lipavskii, Dmitrii A. Shirobokov
- Mathematics and Computers in Simulation
- 2017

It is well known that high accuracy and high resolution methods are the most appropriate tools when numerically simulating small scale phenomena in fluid flows. In the case of finite difference schemes, the desired properties can be achieved by using high order approximations. Comparing with low-order schemes (say, with second-order ones), merits of… (More)

- Andrei I. Tolstykh, Mikhail V. Lipavskii, E. N. Chigirev
- 2003

To increase approximation orders of traditional numerical methods for PDE's admitted by exact solutions smoothness, one usually tries to increase numbers of basis functions underlying their discretizations (by increasing, for example, numbers of degrees of freedom defining orders of local polynomial interpolants). In many cases, it may complicate the… (More)

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