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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 309 - 322 (14page)
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초록· 키워드
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A conservative scheme for solving scalar hyperbolic equations is presented using a quadrature rule and an ODE solver. This numerical scheme consists of an upwind part, plus a correction part which is derived by introducing a new variable for the given hyperbolic equation. Furthermore, the stability and accuracy of the derived algorithm is shown with numerous computations.
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참고문헌 (20)
참고문헌 신청
D. Estep / 1995 / A modified equation for dispersive difference schemes / Appl. Number. Math 17:299~309
S. K. Godunov / 1959 / A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics / Mat. Sb 47:271~306
D. F. Griffiths / 1986 / On the scope of the method of modified equations / SIAM J. Sci. Statist. Comput 7:994~1008
A. Harten / 1983 / High resolution schemes for hyperbolic conservation laws / J. Comput. Phys 49:357~393
G. Hedstrom / 1975 / Models of difference schemes for ut + ux = 0 by partial differential equations / Math. Comp 29:969~977
S. K. Godunov / 1959 / A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics / Mat. Sb 47:271~306
D. F. Griffiths / 1986 / On the scope of the method of modified equations / SIAM J. Sci. Statist. Comput 7:994~1008
A. Harten / 1983 / High resolution schemes for hyperbolic conservation laws / J. Comput. Phys 49:357~393
G. Hedstrom / 1975 / Models of difference schemes for ut + ux = 0 by partial differential equations / Math. Comp 29:969~977
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