TY - GEN
T1 - On construction of combined shock-capturing finite-difference schemes of high accuracy
AU - Ostapenko, Vladimir
AU - Kovyrkina, Olyana
PY - 2017
Y1 - 2017
N2 - We show that compact scheme of the third order of weak approximation (unlike the TVD scheme) allows to obtain the second order of integral convergence in intervals crossing the front line of the shock wave and, as consequence, to conserve the high order of local convergence in the domain of shock influences. It allows to use the compact scheme as a basis scheme in construction of combined shock-capturing finite-difference schemes of high accuracy.
AB - We show that compact scheme of the third order of weak approximation (unlike the TVD scheme) allows to obtain the second order of integral convergence in intervals crossing the front line of the shock wave and, as consequence, to conserve the high order of local convergence in the domain of shock influences. It allows to use the compact scheme as a basis scheme in construction of combined shock-capturing finite-difference schemes of high accuracy.
KW - Discontinuous solutions
KW - Integral order of convergence
KW - Monotonicity and high accuracy of finite-difference schemes
KW - Shock-capturing difference schemes
KW - CONVERGENCE
KW - HYPERBOLIC CONSERVATION-LAWS
UR - http://www.scopus.com/inward/record.url?scp=85018425904&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-57099-0_59
DO - 10.1007/978-3-319-57099-0_59
M3 - Conference contribution
AN - SCOPUS:85018425904
SN - 9783319570983
VL - 10187 LNCS
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 525
EP - 532
BT - Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers
A2 - Dimov, null
A2 - Farago, null
A2 - Vulkov, L
PB - Springer-Verlag GmbH and Co. KG
T2 - 6th International Conference on Numerical Analysis and Its Applications, NAA 2016
Y2 - 14 June 2016 through 21 June 2016
ER -