SCOPUS 정보 검색 플랫폼

Volumn 179, Issue 2, 2002, Pages 578-592

Cubic spline collocation method for the shallow water equations on the sphere

a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH (United States)

Author keywords

Collocation methods; Cubic splines; Finite element; Leapfrog scheme; Numerical weather prediction; Semi implicit scheme; Shallow water equations; Spherical coordinates

Indexed keywords

EQUATIONS OF MOTION; FINITE ELEMENT METHOD; INTERPOLATION; SPHERES; WEATHER FORECASTING;

COLLOCATION METHOD; CUBIC SPLINE; CUBIC SPLINE COLLOCATION METHOD; FINITE ELEMENT; LEAPFROG SCHEME; NUMERICAL WEATHER PREDICTION; SEMI-IMPLICIT SCHEME; SHALLOW WATER EQUATIONS; SPECTRAL METHODS; SPHERICAL COORDINATES;

NUMERICAL METHODS;

EID: 0036647470 PISSN: 00219991 EISSN: None Source Type: Journal
DOI: 10.1006/jcph.2002.7075 Document Type: Article

Times cited : (19)

References (21)

1
- 0032412983
- The operational CMC-MRB global environment multiscale (GEM) model. Part II: Results
- (1998) Mon. Weather Rev , vol.126 , pp. 1397
- Côté, J.¹ Desmarais, J.-G.² Gravel, S.³ Méthot, A.⁴ Patoine, A.⁵ Roch, M.⁶ Staniforth, A.⁷

2
- 0032443494
- The operational CMC-MRB global environmental multiscale (GEM) model. Part I: Design considerations and formulation
- (1998) Mon. Weather Rev , vol.126 , pp. 1373
- Côté, J.¹ Gravel, S.² Méthot, A.³ Patoine, A.⁴ Roch, M.⁵ Staniforth, A.⁶

3
- 0000009538
- A variable-resolution semi-Lagrangian finite-element global model of the shallow-water equations
- (1993) Mon. Weather Rev , vol.121 , Issue.1 , pp. 231
- Côté, J.¹ Roch, M.² Staniforth, A.³ Fillion, L.⁴

4
- 0025528134
- An accurate and efficient finite-element global model of the shallow water equations
- (1990) Mon. Weather Rev , vol.118 , pp. 2707
- Côté, J.¹ Staniforth, A.²

5
- 0009913775
- On the convergence of odd degree spline interpolation
- (1968) J. Approx. Theory , vol.1 , pp. 452
- de Boor, C.¹

6
- 0003641574
- (Springer-Verlag, New York,)
- (1978) A Practical Guide to Splines
- de Boor, C.¹

7
- 0000066473
- A study of numerical errors in the integration of barotropic flow on a spherical grid
- (1962) J. Geophys. Res , vol.67 , Issue.2 , pp. 773
- Gates, W.L.¹ Riegel, C.A.²

8
- 0347670871
- A spline collocation scheme for the spherical shallow water equations
- doi:jcph.1998.6111
- (1999) J. Comput. Phys , vol.148 , pp. 297
- Göttelmann, J.¹

9
- 0001533567
- On error bounds for spline interpolation
- (1968) J. Approx. Theory , vol.1 , pp. 209
- Hall, C.A.¹

10
- 0003949516
- (Wiley, New York,)
- (1980) Numerical Prediction and Dynamic Meteorology
- Haltiner, G.J.¹ Williams, R.T.²

11
- 85190314067
- Aspects of numerics of the ECMWF model
- Proceedings of a Seminar Held at ECMWF on Recent Developments in Numerical Methods for Atmospheric Modeling, (European Centre for Medium-Range Weather Forecasts, Reading, UK, 1999)
- (1999)
- Hortal, M.¹

12
- 0003800693
- Technical Report NCAR/TN-388+STR (National Center for Atmospheric Research,)
- (1993) Solutions to the Shallow Water Test Set Using the Spectral Transform Method
- Jakob, R.¹ Hack, J.J.² Williamson, D.L.³

13
- 0001085148
- Numerical integration of the primitive equations on a spherical grid
- (1965) Mon. Weather Rev , vol.93 , Issue.7 , pp. 399
- Kurihara, Y.¹

14
- 0016072879
- Error bounds for interpolating cubic splines under various end conditions
- (1974) SIAM J. Numer. Anal , vol.11 , pp. 569
- Lucas, T.R.¹

15
- 0003859403
- (Wiley, New York,)
- (1989) Splines and Variational Methods
- Prenter, P.M.¹

16
- 0024195679
- Accurate numerical differencing near a polar singularity of a skipped grid
- (1988) Mon. Weather Rev , vol.116 , pp. 1067
- Purse, R.J.¹

17
- 0009885883
- A semi-implicit finite-element barotropic model
- (1977) Mon. Weather Rev , vol.105 , pp. 154
- Staniforth, A.¹ Mitchell, H.²

18
- 0002616049
- Comparison of grids and difference approximations for numerical weather prediction over a sphere
- (1973) J. Appl. Meteorol , vol.12 , pp. 264
- Williamson, D.L.¹ Browning, G.L.²

19
- 85066350454
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- (1992) J. Comput. Phys , vol.102 , pp. 211
- Williamson, D.L.¹ Drake, J.B.² Hack, J.J.³ Jakob, R.⁴ Swarztrauber, P.N.⁵

20
- 0003123189
- Numerical approximations for global atmospheric general circulation models
- edited by P. Mote and A. O'Neill, NATO Science Series
- (2000) Numerical Modelling of the Global Atmosphere in the Climate System , pp. 127
- Williamson, D.L.¹ Laprise, R.²

21
- 0028604839
- Climate simulations with a semi-Lagrangian version of the NCAR community climate model
- (1993) Mon. Weather Rev , vol.122 , pp. 1594
- Williamson, D.L.¹ Olson, J.G.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.