Abstract
Two applications of the Kernel Optimum Nearly-analytical Discretization (KOND) algorithm to the parabolic- and the hyperbolic type equations a presented in detail to lead to novel numerical schemes with very high numerical accuracy. It is demonstrated numerically that the two dimensional KOND-P scheme for the parabolic type yields quite less numerical error by over 2-3 orders and reduces the CPU time to about 1/5 for a common numerical accuracy, compared with the conventional explicit scheme of reference. It is also demonstrated numerically that the KOND-H scheme for the hyperbolic type yields fairly less diffusive error and has fairly high stability for both of the linear- and the nonlinear wave propagations compared with other conventional schemes. (author).
Citation Formats
Kondoh, Yoshiomi, Hosaka, Yasuo, and Ishii, Kenji.
Kernel Optimum Nearly-analytical Discretization (KOND) algorithm. Applied to parabolic and hyperbolic equations.
Japan: N. p.,
1992.
Web.
Kondoh, Yoshiomi, Hosaka, Yasuo, & Ishii, Kenji.
Kernel Optimum Nearly-analytical Discretization (KOND) algorithm. Applied to parabolic and hyperbolic equations.
Japan.
Kondoh, Yoshiomi, Hosaka, Yasuo, and Ishii, Kenji.
1992.
"Kernel Optimum Nearly-analytical Discretization (KOND) algorithm. Applied to parabolic and hyperbolic equations."
Japan.
@misc{etde_10130413,
title = {Kernel Optimum Nearly-analytical Discretization (KOND) algorithm. Applied to parabolic and hyperbolic equations}
author = {Kondoh, Yoshiomi, Hosaka, Yasuo, and Ishii, Kenji}
abstractNote = {Two applications of the Kernel Optimum Nearly-analytical Discretization (KOND) algorithm to the parabolic- and the hyperbolic type equations a presented in detail to lead to novel numerical schemes with very high numerical accuracy. It is demonstrated numerically that the two dimensional KOND-P scheme for the parabolic type yields quite less numerical error by over 2-3 orders and reduces the CPU time to about 1/5 for a common numerical accuracy, compared with the conventional explicit scheme of reference. It is also demonstrated numerically that the KOND-H scheme for the hyperbolic type yields fairly less diffusive error and has fairly high stability for both of the linear- and the nonlinear wave propagations compared with other conventional schemes. (author).}
place = {Japan}
year = {1992}
month = {Oct}
}
title = {Kernel Optimum Nearly-analytical Discretization (KOND) algorithm. Applied to parabolic and hyperbolic equations}
author = {Kondoh, Yoshiomi, Hosaka, Yasuo, and Ishii, Kenji}
abstractNote = {Two applications of the Kernel Optimum Nearly-analytical Discretization (KOND) algorithm to the parabolic- and the hyperbolic type equations a presented in detail to lead to novel numerical schemes with very high numerical accuracy. It is demonstrated numerically that the two dimensional KOND-P scheme for the parabolic type yields quite less numerical error by over 2-3 orders and reduces the CPU time to about 1/5 for a common numerical accuracy, compared with the conventional explicit scheme of reference. It is also demonstrated numerically that the KOND-H scheme for the hyperbolic type yields fairly less diffusive error and has fairly high stability for both of the linear- and the nonlinear wave propagations compared with other conventional schemes. (author).}
place = {Japan}
year = {1992}
month = {Oct}
}