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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 065, 21 pp. (Mi ipmp613)  
Piecewise parabolic method on local stencil. I. Advection equation and Burgers' equation

S. D. Ustyugov, M. V. Popov
Full-text PDF (591 kB)
Abstract: Modification of piecewise parabolic method reducing dissipation of it due to exclusion the interpolation procedure on four-point stencil suggested. Comparison with standard piecewise parabolic method (PPM) was carried out with the help of test problems for linear advection equation and for inviscid Burgers' equation. The comparison was carried out on the basis of values of errors in different norms.
Document Type: Preprint
Language: Russian
Citation: S. D. Ustyugov, M. V. Popov, “Piecewise parabolic method on local stencil. I. Advection equation and Burgers' equation”, Keldysh Institute preprints, 2006, 065, 21 pp.
Citation in format AMSBIB
\Bibitem{UstPop06}
\by S.~D.~Ustyugov, M.~V.~Popov
\paper Piecewise parabolic method on local stencil. I.~Advection equation and Burgers' equation
\jour Keldysh Institute preprints
\yr 2006
\papernumber 065
\totalpages 21
\mathnet{http://mi.mathnet.ru/ipmp613}
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  • https://www.mathnet.ru/eng/ipmp/y2006/p65
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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