메뉴 건너뛰기




Volumn 132, Issue 1, 2004, Pages 154-164

Accurate integration of stochastic climate models with application to El Niño

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATOLOGY; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS; TIME SERIES ANALYSIS; VARIATIONAL TECHNIQUES;

EID: 1842535208     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2004)132<0154:AIOSCM>2.0.CO;2     Document Type: Article
Times cited : (27)

References (60)
  • 1
    • 0030439489 scopus 로고    scopus 로고
    • Variability in a mixed layer ocean model driven by stochastic atmospheric forcing
    • Alexander, M. A., and C. Penland, 1996: Variability in a mixed layer ocean model driven by stochastic atmospheric forcing. J. Climate, 9, 2424-2442.
    • (1996) J. Climate , vol.9 , pp. 2424-2442
    • Alexander, M.A.1    Penland, C.2
  • 3
    • 5244369374 scopus 로고
    • White and coloured external noise and transition phenomena in nonlinear systems
    • Arnold, L., W. Horsthemke, and R. Lefever, 1978: White and coloured external noise and transition phenomena in nonlinear systems. Z. Phys., B29, 867-873.
    • (1978) Z. Phys. , vol.B29 , pp. 867-873
    • Arnold, L.1    Horsthemke, W.2    Lefever, R.3
  • 4
    • 0027799092 scopus 로고
    • ENSO and ENSO-related predictability, Part I: Prediction of equatorial Pacific sea surface temperature with a hybrid coupled ocean-atmosphere model
    • Barnett, T. P., M. Latif, N. Graham, M. Flügel, S. Pazan, and W. White, 1993: ENSO and ENSO-related predictability, Part I: Prediction of equatorial Pacific sea surface temperature with a hybrid coupled ocean-atmosphere model. J. Climate, 6, 1545-1566.
    • (1993) J. Climate , vol.6 , pp. 1545-1566
    • Barnett, T.P.1    Latif, M.2    Graham, N.3    Flügel, M.4    Pazan, S.5    White, W.6
  • 5
    • 0024189014 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of a warming event in a coupled tropical atmosphere-ocean model
    • Battisti, D. S., 1998: Dynamics and thermodynamics of a warming event in a coupled tropical atmosphere-ocean model. J. Atmos. Sci., 45, 2889-2919.
    • (1998) J. Atmos. Sci. , vol.45 , pp. 2889-2919
    • Battisti, D.S.1
  • 6
    • 0024831079 scopus 로고
    • Interannual variability in a tropical ocean model: Influence of the basic state, ocean geometry, and non-linearity
    • Battisti, D. S., and A. C. Hirst, 1989: Interannual variability in a tropical ocean model: Influence of the basic state, ocean geometry, and non-linearity. J. Atmos. Sci., 46, 1687-1712.
    • (1989) J. Atmos. Sci. , vol.46 , pp. 1687-1712
    • Battisti, D.S.1    Hirst, A.C.2
  • 7
    • 0031176640 scopus 로고    scopus 로고
    • Estimating the effect of stochastic wind stress forcing on ENSO irregularity
    • Blanke, B., J. D. Neelin, and D. S. Gutzler, 1997: Estimating the effect of stochastic wind stress forcing on ENSO irregularity, J. Climate, 10, 1473-1487.
    • (1997) J. Climate , vol.10 , pp. 1473-1487
    • Blanke, B.1    Neelin, J.D.2    Gutzler, D.S.3
  • 8
    • 0033403384 scopus 로고    scopus 로고
    • Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System
    • Buizza, R., M. Miller, and T. N. Palmer, 1999: Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System. Quart. J. Roy. Meteor. Soc., 125, 2887-2998.
    • (1999) Quart. J. Roy. Meteor. Soc. , vol.125 , pp. 2887-2998
    • Buizza, R.1    Miller, M.2    Palmer, T.N.3
  • 9
    • 0000596547 scopus 로고    scopus 로고
    • Chaotic dynamics versus stochastic processes in El Niño-Southern Oscillation in coupled ocean-atmosphere models
    • Chang, P., L. Ji, H. Li, and M. Flügel, 1996: Chaotic dynamics versus stochastic processes in El Niño-Southern Oscillation in coupled ocean-atmosphere models. Physica D, 98, 301-320.
    • (1996) Physica D , vol.98 , pp. 301-320
    • Chang, P.1    Ji, L.2    Li, H.3    Flügel, M.4
  • 10
    • 0018718554 scopus 로고
    • Multiple flow equilibria in the atmosphere and blocking
    • Charney, J. G., and J. G. De Vore, 1979: Multiple flow equilibria in the atmosphere and blocking. J. Atmos. Sci., 36, 1205-1216.
    • (1979) J. Atmos. Sci. , vol.36 , pp. 1205-1216
    • Charney, J.G.1    De Vore, J.G.2
  • 11
    • 0345772925 scopus 로고    scopus 로고
    • Changes of subseasonal variability associated with El Niño
    • Compo, G. P., P. D. Sardeshmukh, and C. Penland, 2001: Changes of subseasonal variability associated with El Niño. J. Climate, 14, 3356-3374.
    • (2001) J. Climate , vol.14 , pp. 3356-3374
    • Compo, G.P.1    Sardeshmukh, P.D.2    Penland, C.3
  • 12
    • 0033614403 scopus 로고    scopus 로고
    • Signature of recent climate change in frequencies of natural atmospheric circulation regimes
    • Corti, S., F. Molteni, and T. N. Palmer, 1999: Signature of recent climate change in frequencies of natural atmospheric circulation regimes. Nature, 398, 799-802.
    • (1999) Nature , vol.398 , pp. 799-802
    • Corti, S.1    Molteni, F.2    Palmer, T.N.3
  • 13
    • 0033208559 scopus 로고    scopus 로고
    • Empirical stochastic models for the dominant climate statistics of a general circulation model
    • DelSole, T., and A. Y. Hou, 1999: Empirical stochastic models for the dominant climate statistics of a general circulation model. J. Atmos. Sci., 56, 3436-3456.
    • (1999) J. Atmos. Sci. , vol.56 , pp. 3436-3456
    • DelSole, T.1    Hou, A.Y.2
  • 14
    • 0242442629 scopus 로고    scopus 로고
    • Numerical schemes for the evolution equations of geophysics
    • in press
    • Ewald, B., and R. Temam, 2003a: Numerical schemes for the evolution equations of geophysics. Appl. Math. Lett., in press.
    • (2003) Appl. Math. Lett.
    • Ewald, B.1    Temam, R.2
  • 15
    • 1842419165 scopus 로고    scopus 로고
    • Numerical analysis of stochastic schemes in geophysics
    • in press
    • Ewald, B., and R. Temam, 2003b: Numerical analysis of stochastic schemes in geophysics. SIAM J. Numer. Anal., in press.
    • (2003) SIAM J. Numer. Anal.
    • Ewald, B.1    Temam, R.2
  • 16
    • 0022266366 scopus 로고
    • Transient growth of damped baroclinic waves
    • Farrell, B., 1985: Transient growth of damped baroclinic waves. J. Atmos. Sci., 42, 2718-2727.
    • (1985) J. Atmos. Sci. , vol.42 , pp. 2718-2727
    • Farrell, B.1
  • 17
    • 0024190643 scopus 로고
    • Optimal excitation of neutral Rossby waves
    • Farrell, B., 1988: Optimal excitation of neutral Rossby waves. J. Atmos. Sci., 45, 163-172.
    • (1988) J. Atmos. Sci. , vol.45 , pp. 163-172
    • Farrell, B.1
  • 18
    • 0028485279 scopus 로고
    • Random generation of stochastic area integrals
    • Gaines, J. G., and T. J. Lyons, 1994: Random generation of stochastic area integrals. SIAM J. Appl. Math., 54, 1132-1146.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1132-1146
    • Gaines, J.G.1    Lyons, T.J.2
  • 20
    • 0000316389 scopus 로고
    • Stochastic climate models. Part I: Theory
    • Hasselmann, K., 1976: Stochastic climate models. Part I: Theory. Tellus, 28, 474-485.
    • (1976) Tellus , vol.28 , pp. 474-485
    • Hasselmann, K.1
  • 23
    • 0028255253 scopus 로고
    • El Niño on the devil's staircase: Annual subharmonic steps to chaos
    • Jin, F.-F., J. D. Neelin, and M. Ghil, 1994: El Niño on the devil's staircase: Annual subharmonic steps to chaos. Science, 264, 70-72.
    • (1994) Science , vol.264 , pp. 70-72
    • Jin, F.-F.1    Neelin, J.D.2    Ghil, M.3
  • 24
    • 0001761644 scopus 로고
    • A limit theorem for solutions of differential equations with random right-hand side
    • Khasminski'i, R. Z., 1966: A limit theorem for solutions of differential equations with random right-hand side. Theory Prob. Appl., 11, 390-406.
    • (1966) Theory Prob. Appl. , vol.11 , pp. 390-406
    • Khasminski'i, R.Z.1
  • 26
    • 0022266341 scopus 로고
    • Persistent anomalies, blocking and variations in atmospheric predictability
    • Legras, B., and M. Ghil, 1985: Persistent anomalies, blocking and variations in atmospheric predictability. J. Atmos. Sci., 42, 433-471.
    • (1985) J. Atmos. Sci. , vol.42 , pp. 433-471
    • Legras, B.1    Ghil, M.2
  • 27
    • 0001322085 scopus 로고
    • On the equations of the large-scale ocean
    • Lions, J.-L., R. Temam, and S. Wang, 1992: On the equations of the large-scale ocean. Nonlinearity, 5, 1007-1053.
    • (1992) Nonlinearity , vol.5 , pp. 1007-1053
    • Lions, J.-L.1    Temam, R.2    Wang, S.3
  • 28
    • 0027644714 scopus 로고
    • Models for the coupled atmosphere and ocean (CAO I)
    • Lions, J.-L., R. Temam, and S. Wang, 1993: Models for the coupled atmosphere and ocean (CAO I). Comput. Mech. Adv., 1, 1-54.
    • (1993) Comput. Mech. Adv. , vol.1 , pp. 1-54
    • Lions, J.-L.1    Temam, R.2    Wang, S.3
  • 29
    • 0000603572 scopus 로고
    • Mathematical theory for the coupled atmosphere-ocean models (CAOIII)
    • Lions, J.-L., R. Temam, and S. Wang, 1995: Mathematical theory for the coupled atmosphere-ocean models (CAOIII), J. Math. Pure Appl., 74, 105-163.
    • (1995) J. Math. Pure Appl. , vol.74 , pp. 105-163
    • Lions, J.-L.1    Temam, R.2    Wang, S.3
  • 31
    • 0031599142 scopus 로고    scopus 로고
    • Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator
    • Matsumoto, M., and T. Nishimura, 1999: Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Trans. Model. Comput. Simul., 7, 3-30.
    • (1999) ACM Trans. Model. Comput. Simul. , vol.7 , pp. 3-30
    • Matsumoto, M.1    Nishimura, T.2
  • 32
    • 0000532550 scopus 로고
    • Approximation integration of stochastic differential equations
    • Mil'shtein, G. N., 1974: Approximation integration of stochastic differential equations. Theor. Prob. Appl., 19, 557-562.
    • (1974) Theor. Prob. Appl. , vol.19 , pp. 557-562
    • Mil'shtein, G.N.1
  • 33
    • 0030670595 scopus 로고    scopus 로고
    • The singular vectors of a coupled ocean-atmosphere model of ENSO. I: Thermodynamics, energetics and error growth
    • Moore, A., and R. Kleeman, 1997a: The singular vectors of a coupled ocean-atmosphere model of ENSO. I: Thermodynamics, energetics and error growth. Quart. J. Roy. Meteor. Soc., 123, 953-981.
    • (1997) Quart. J. Roy. Meteor. Soc. , vol.123 , pp. 953-981
    • Moore, A.1    Kleeman, R.2
  • 34
    • 0030670595 scopus 로고    scopus 로고
    • The singular vectors of a coupled ocean-atmosphere model of ENSO. I: Sensitivity studies and dynamical interpretation
    • Moore, A., and R. Kleeman, 1997b: The singular vectors of a coupled ocean-atmosphere model of ENSO. I: Sensitivity studies and dynamical interpretation. Quart. J. Roy. Meteor. Soc., 123, 983-1006.
    • (1997) Quart. J. Roy. Meteor. Soc. , vol.123 , pp. 983-1006
    • Moore, A.1    Kleeman, R.2
  • 35
    • 0026309790 scopus 로고
    • A study of self-excited oscillations of the tropical ocean-atmosphere system
    • Münnich, M., M. Cane, and S. Zebiak, 1991: A study of self-excited oscillations of the tropical ocean-atmosphere system. J. Atmos. Sci., 48, 1238-1248.
    • (1991) J. Atmos. Sci. , vol.48 , pp. 1238-1248
    • Münnich, M.1    Cane, M.2    Zebiak, S.3
  • 36
    • 0035086606 scopus 로고    scopus 로고
    • A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamical parameterization in weather and climate prediction models
    • Palmer, T. N., 2001: A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamical parameterization in weather and climate prediction models. Quart. J. Roy. Meteor. Soc., 127, 279-304.
    • (2001) Quart. J. Roy. Meteor. Soc. , vol.127 , pp. 279-304
    • Palmer, T.N.1
  • 37
    • 0021851865 scopus 로고
    • Acoustic normal mode propagation through a three-dimensional internal wave field
    • Penland, C., 1985: Acoustic normal mode propagation through a three-dimensional internal wave field. J. Acoust. Soc. Amer., 78, 1356-1364.
    • (1985) J. Acoust. Soc. Amer. , vol.78 , pp. 1356-1364
    • Penland, C.1
  • 38
    • 0024874304 scopus 로고
    • Random forcing and forecasting using principal oscillation pattern analysis
    • Penland, C., 1989: Random forcing and forecasting using principal oscillation pattern analysis. Mon. Wea. Rev., 117, 2165-2185.
    • (1989) Mon. Wea. Rev. , vol.117 , pp. 2165-2185
    • Penland, C.1
  • 39
    • 22244450683 scopus 로고    scopus 로고
    • A stochastic model of Indo-Pacific sea surface temperature anomalies
    • Penland, C., 1996: A stochastic model of Indo-Pacific sea surface temperature anomalies. Physica D, 96, 534-558.
    • (1996) Physica D , vol.96 , pp. 534-558
    • Penland, C.1
  • 40
    • 0027801381 scopus 로고
    • Prediction of Nin̄o 3 sea surface temperature anomalies using linear inverse modeling
    • Penland, C., and T. Magorian, 1993: Prediction of Nin̄o 3 sea surface temperature anomalies using linear inverse modeling. J. Climate, 6, 1067-1076.
    • (1993) J. Climate , vol.6 , pp. 1067-1076
    • Penland, C.1    Magorian, T.2
  • 41
    • 0000321680 scopus 로고
    • A balance condition for stochastic numerical models with application to the El Niño-Southern Oscillation
    • Penland, C., and L. Matrosova, 1994: A balance condition for stochastic numerical models with application to the El Niño-Southern Oscillation. J. Climate, 7, 1352-1372.
    • (1994) J. Climate , vol.7 , pp. 1352-1372
    • Penland, C.1    Matrosova, L.2
  • 42
    • 0029506155 scopus 로고
    • The optimal growth of tropical sea surface temperatures
    • Penland, C., and P. D. Sardeshmukh, 1995: The optimal growth of tropical sea surface temperatures. J. Climate, 8, 1999-2024.
    • (1995) J. Climate , vol.8 , pp. 1999-2024
    • Penland, C.1    Sardeshmukh, P.D.2
  • 43
    • 0343953477 scopus 로고    scopus 로고
    • Identification of dynamical regimes in an intermediate coupled ocean-atmosphere model
    • Penland, C., M. Flügel, and P. Chang, 2000: Identification of dynamical regimes in an intermediate coupled ocean-atmosphere model. J. Climate, 13, 2105-2115.
    • (2000) J. Climate , vol.13 , pp. 2105-2115
    • Penland, C.1    Flügel, M.2    Chang, P.3
  • 44
    • 85039514214 scopus 로고    scopus 로고
    • Forecast of tropical SSTs using linear inverse modeling (LIM)
    • Available online at
    • Penland, C., L. Matrosova, K. Weickmann, and C. Smith, 2003: Forecast of tropical SSTs using linear inverse modeling (LIM). Exp. Long-Lead Forecast Bull., 12. [Available online at http://www.iges. org/ellfb/Mar03/penland/penland.htm.
    • (2003) Exp. Long-Lead Forecast Bull. , vol.12
    • Penland, C.1    Matrosova, L.2    Weickmann, K.3    Smith, C.4
  • 47
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • Rümelin, W., 1982: Numerical treatment of stochastic differential equations. SIAM J. Numer. Anal., 19, 604-613.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 604-613
    • Rümelin, W.1
  • 48
    • 0024226014 scopus 로고
    • The generation of global rotational flow by steady idealized tropical convergence
    • Sardeshmukh, P. D., and B. J. Hoskins, 1988: The generation of global rotational flow by steady idealized tropical convergence. J. Atmos. Sci., 45, 1228-1251.
    • (1988) J. Atmos. Sci. , vol.45 , pp. 1228-1251
    • Sardeshmukh, P.D.1    Hoskins, B.J.2
  • 49
    • 0001693443 scopus 로고    scopus 로고
    • Rossby waves in a fluctuating medium
    • P. Imkeller and J.-S. von Storch, Eds., Progress in Probability, Birkhaueser
    • Sardeshmukh, P. D., C. Penland, and M. Newman, 2001a: Rossby waves in a fluctuating medium. Stochastic Climate Models, P. Imkeller and J.-S. von Storch, Eds., Progress in Probability, Vol. 49, Birkhaueser, 369-384.
    • (2001) Stochastic Climate Models , vol.49 , pp. 369-384
    • Sardeshmukh, P.D.1    Penland, C.2    Newman, M.3
  • 51
    • 0024223797 scopus 로고
    • Vascillations in a coupled ocean-atmosphere model
    • Schopf, P. S., and M. J. Suarez, 1988: Vascillations in a coupled ocean-atmosphere model. J. Atmos. Sci., 45, 549-566.
    • (1988) J. Atmos. Sci. , vol.45 , pp. 549-566
    • Schopf, P.S.1    Suarez, M.J.2
  • 52
    • 0000183695 scopus 로고
    • Ocean wave dynamics and the time scale of ENSO
    • Schopf, P. S., and M. J. Suarez, 1990: Ocean wave dynamics and the time scale of ENSO. J. Phys. Oceanogr., 20, 629-645.
    • (1990) J. Phys. Oceanogr. , vol.20 , pp. 629-645
    • Schopf, P.S.1    Suarez, M.J.2
  • 53
    • 0036354393 scopus 로고    scopus 로고
    • Sensitivity of a double-gyre ocean model to details of stochastic forcing
    • Sura, P., and C. Penland, 2002: Sensitivity of a double-gyre ocean model to details of stochastic forcing. Ocean Modell., 4, 327-345.
    • (2002) Ocean Modell. , vol.4 , pp. 327-345
    • Sura, P.1    Penland, C.2
  • 54
    • 0029529215 scopus 로고
    • Seasonal and inter-annual variability in a hybrid coupled GCM
    • Syu, H.-H., J. D. Neelin, and D. Gutzler, 1995: Seasonal and inter-annual variability in a hybrid coupled GCM. J. Climate, 8, 2121-2143.
    • (1995) J. Climate , vol.8 , pp. 2121-2143
    • Syu, H.-H.1    Neelin, J.D.2    Gutzler, D.3
  • 55
    • 0034253095 scopus 로고    scopus 로고
    • A linear stochastic dynamical model of ENSO. Part I: Analysis
    • Thompson, C. J., and D. S. Battisti, 2000: A linear stochastic dynamical model of ENSO. Part I: Analysis. J. Climate, 13, 2813-2832.
    • (2000) J. Climate , vol.13 , pp. 2813-2832
    • Thompson, C.J.1    Battisti, D.S.2
  • 56
    • 0035866103 scopus 로고    scopus 로고
    • A linear stochastic dynamical model of ENSO. Part II: Analysis
    • Thompson, C. J., and D. S. Battisti, 2001: A linear stochastic dynamical model of ENSO. Part II: Analysis. J. Climate, 14, 445-466.
    • (2001) J. Climate , vol.14 , pp. 445-466
    • Thompson, C.J.1    Battisti, D.S.2
  • 57
    • 0028184125 scopus 로고
    • El Niño chaos: Overlapping of resonances between the seasonal cycle and the Pacific Ocean-atmosphere oscillator
    • Tziperman, E., L. Stone, M. Cane, and H. Jarosh, 1994: El Niño chaos: Overlapping of resonances between the seasonal cycle and the Pacific Ocean-atmosphere oscillator. Science, 264, 72-74.
    • (1994) Science , vol.264 , pp. 72-74
    • Tziperman, E.1    Stone, L.2    Cane, M.3    Jarosh, H.4
  • 58
    • 0031835110 scopus 로고    scopus 로고
    • A linear theory of extratropical synoptic eddy statistics
    • Whitaker, J. S., and P. D. Sardeshmukh, 1998: A linear theory of extratropical synoptic eddy statistics. J. Atmos. Sci., 55, 237-258.
    • (1998) J. Atmos. Sci. , vol.55 , pp. 237-258
    • Whitaker, J.S.1    Sardeshmukh, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.