SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

SIAM Journal on Scientific Computing

Volumn 22, Issue 2, 2001, Pages 656-672

Compact central WENO schemes for multidimensional conservation laws

(3) Levy, D a Puppo, G a Russo, G a

a UNIVERSITY OF CALIFORNIA (United States)

Author keywords

Central difference schemes; CWENO reconstruction; High order accuracy; Hyperbolic systems; Nonoscillatory schemes; WENO reconstruction

Indexed keywords

FINITE DIFFERENCE METHOD; INTERPOLATION; NUMERICAL ANALYSIS; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING;

CENTRAL DIFFERENCE SCHEME; HYPERBOLIC SYSTEMS; NONOSCILLATORY SCHEMES; PIECEWISE-POLYNOMIAL INTERPOLANT; SPURIOUS OSCILLATIONS;

DIFFERENCE EQUATIONS;

EID: 0035075926 PISSN: 10648275 EISSN: None Source Type: Journal
DOI: 10.1137/S1064827599359461 Document Type: Article

Times cited : (336)

References (26)

1
- 0001884854
- A two-dimensional finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for compressible flow
- M. Hafez and K. Oshima, eds., Lake Tahoe, NV
- (1995) Proceedings of the 6th International Symposium on Computational Fluid Dynamics , vol.4 , pp. 7-14
- Arminjon, P.¹ Stanescu, D.² Viallon, M.-C.³

2
- 0033296324
- High order central schemes for hyperbolic systems of conservation laws
- (1999) SIAM J. Sci. Comput. , vol.21 , pp. 294-322
- Bianco, F.¹ Puppo, G.² Russo, G.³

3
- 85160598111
- High order central schemes for hyperbolic systems of conservation laws
- Internat. Ser. Numer. Math. 129, Birkhäuser-Verlag, Basel, Switzerland, 1999 , pp. 55-64
- Bianco, F.¹ Puppo, G.² Russo, G.³

4
- 0001380483
- Systems of conservation equations with a convex extension
- (1971) Proc. Natl. Acad. Sci. , vol.68 , pp. 1686-1688
- Friedrichs, K.O.¹ Lax, P.D.²

5
- 0003828736
- Numerical approximation of hyperbolic systems of conservation laws
- Springer, New York
- (1996)
- Godlewski, E.¹ Raviart, P.-A.²

6
- 33749725182
- Uniformly high order accurate essentially non-oscillatory schemes III
- (1987) J. Comput. Phys. , vol.71 , pp. 231-303
- Harten, A.¹ Engquist, B.² Osher, S.³ Chakravarthy, S.⁴

7
- 0030161771
- Efficient implementation of weighted ENO schemes
- (1996) J. Comput. Phys. , vol.126 , pp. 202-228
- Jiang, G.-S.¹ Shu, C.-W.²

8
- 0032206542
- Nonoscillatory central schemes for multidimensional hyperbolic conservation laws
- (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1892-1917
- Jiang, G.-S.¹ Tadmor, E.²

9
- 84980078953
- Weak solutions of non-linear hyperbolic equations and their numerical computation
- (1954) Comm. Pure. Appl. Math. , vol.7 , pp. 159-193
- Lax, P.D.¹

10
- 2442433925
- Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method
- (1979) J. Comput. Phys. , vol.32 , pp. 101-136
- Van Leer, B.¹

11
- 0003671760
- Numerical methods for conservation laws
- Lectures in Mathematics ETH Zürich, Birkhauser-Verlag, Basel, Switzerland
- (1992) 2nd Ed.
- LeVeque, R.J.¹

12
- 0000669778
- A third-order 2D central scheme for conservation laws
- INRIA, Roquencourt, France
- (1998) Systèmes Hyperboliques: Nouveaux Schémas et Nouvelles Applications , vol.1 , pp. 489-504
- Levy, D.¹

13
- 0033468934
- Central WENO schemes for hyperbolic systems of conservation laws
- (1999) Math. Model. Numer. Anal. , vol.33 , pp. 547-571
- Levy, D.¹ Puppo, G.² Russo, G.³

14
- 0034190398
- On the behavior of the total variation in CWENO methods for conservation laws
- (2000) Appl. Numer. Math. , vol.33 , pp. 407-414
- Levy, D.¹ Puppo, G.² Russo, G.³

15
- 0034190356
- A third order central WENO scheme for 2D conservation laws
- (2000) Appl. Numer. Math. , vol.33 , pp. 415-421
- Levy, D.¹ Puppo, G.² Russo, G.³

16
- 85031598160
- Central weno schemes for multi-dimensional hyperbolic systems of conservation laws
- in preparation
- Levy, D.¹ Puppo, G.² Russo, G.³

17
- 1542576022
- Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes I
- (1996) SIAM J. Numer. Anal. , vol.33 , pp. 760-779
- Liu, X.-D.¹ Osher, S.²

18
- 0000592595
- Weighted essentially non-oscillatory schemes
- (1994) J. Comput. Phys. , vol.115 , pp. 200-212
- Liu, X.-D.¹ Osher, S.² Chan, T.³

19
- 0032336616
- Third order nonoscillatory central scheme for hyperbolic conservation laws
- (1998) Numer. Math. , vol.79 , pp. 397-425
- Liu, X.-D.¹ Tadmor, E.²

20
- 28144455569
- Non-oscillatory central differencing for hyperbolic conservation laws
- (1990) J. Comput. Phys. , vol.87 , pp. 408-463
- Nessyahu, H.¹ Tadmor, E.²

21
- 0001540763
- A high resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws
- (1992) J. Comput. Phys. , vol.101 , pp. 314-329
- Sanders, R.¹ Weiser, A.²

22
- 0000034725
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
- A. Quarteroni, ed., Lecture Notes in Math. 1697, Springer, Berlin
- (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
- Shu, C.-W.¹

23
- 0001568854
- Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
- (1989) J. Comput. Phys. , vol.83 , pp. 32-78
- Shu, C.-W.¹ Osher, S.²

24
- 2942705023
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- (1978) J. Comput. Phys. , vol.22 , pp. 1-31
- Sod, G.¹

25
- 0002033981
- Approximate solutions of nonlinear conservation laws
- A. Quarteroni, ed., Lecture Notes in Math. 1697, Springer, Berlin
- (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
- Tadmor, E.¹

26
- 84966233444
- Natural continuous extensions of Runge-Kutta methods
- (1986) Math. Comp. , vol.46 , pp. 119-133
- Zennaro, M.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.