메뉴 건너뛰기




Volumn 470, Issue 2169, 2014, Pages

Parameter estimation for energy balance models with memory

Author keywords

Age dating; Bayesian inference; Energy balance model; Inverse problem; Mechanistic statistical model; Memory effects

Indexed keywords

BAYESIAN NETWORKS; ENERGY BALANCE; INFERENCE ENGINES; INVERSE PROBLEMS; TEMPERATURE MEASUREMENT;

EID: 84907198695     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2014.0349     Document Type: Article
Times cited : (39)

References (59)
  • 1
    • 0001006562 scopus 로고
    • The effect of solar radiation variations on the climate of the Earth
    • doi:10.1111/j.2153-3490.1969.tb00466.x
    • Budyko MI. 1969 The effect of solar radiation variations on the climate of the Earth. Tellus 21, 611-619. (doi:10.1111/j.2153-3490.1969.tb00466.x)
    • (1969) Tellus , vol.21 , pp. 611-619
    • Budyko, M.I.1
  • 2
    • 0009156548 scopus 로고
    • A global climatic model based on the energy balance of the Earth atmosphere system
    • Sellers WD. 1969 A global climatic model based on the energy balance of the Earth atmosphere system. J. Appl. Meteorol. 21, 391-400.
    • (1969) J. Appl. Meteorol. , vol.21 , pp. 391-400
    • Sellers, W.D.1
  • 4
    • 0000360836 scopus 로고
    • Simple albedo feedback models of the icecaps
    • doi:10.1111/j.2153-3490.1974.tb01641.x
    • Held I, Suarez M. 1974 Simple albedo feedback models of the icecaps. Tellus 36, 613-629. (doi:10.1111/j.2153-3490.1974.tb01641.x)
    • (1974) Tellus , vol.36 , pp. 613-629
    • Held, I.1    Suarez, M.2
  • 6
    • 0016881047 scopus 로고
    • Climate stability for a Sellers-type model
    • doi:10.1175/ 1520-0469(1976)033<0003:CSFAST>2.0.CO;2
    • Ghil M. 1976 Climate stability for a Sellers-type model. J. Atmos. Sci. 33, 3-20. (doi:10.1175/ 1520-0469(1976)033<0003:CSFAST>2.0.CO;2)
    • (1976) J. Atmos. Sci. , vol.33 , pp. 3-20
    • Ghil, M.1
  • 7
    • 0000727646 scopus 로고    scopus 로고
    • S-shaped bifurcation branch in a quasilinear multivalued model arising in climatology
    • doi:10.1006/jdeq.1998.3502
    • Arcoya D, Diaz JI, Tello L. 1998 S-shaped bifurcation branch in a quasilinear multivalued model arising in climatology. J. Diff. Equ. 150, 215-225. (doi:10.1006/jdeq.1998.3502)
    • (1998) J. Diff. Equ. , vol.150 , pp. 215-225
    • Arcoya, D.1    Diaz, J.I.2    Tello, L.3
  • 8
    • 0042528928 scopus 로고    scopus 로고
    • Global existence, uniqueness, and continuous dependence for a reaction- diffusion equation with memory
    • Hetzer G. 1996 Global existence, uniqueness, and continuous dependence for a reaction- diffusion equation with memory. Electronic J. Diff. Equ. 5, 1-16.
    • (1996) Electronic J. Diff. Equ. , vol.5 , pp. 1-16
    • Hetzer, G.1
  • 9
    • 33344471641 scopus 로고    scopus 로고
    • An energy balance climate model with hysteresis
    • doi:10.1016/j.na.2005.07.038
    • Diaz JI, Hetzer G, Tello L. 2006 An energy balance climate model with hysteresis. Nonlinear Anal. 64, 2053-2074. (doi:10.1016/j.na.2005.07.038)
    • (2006) Nonlinear Anal. , vol.64 , pp. 2053-2074
    • Diaz, J.I.1    Hetzer, G.2    Tello, L.3
  • 10
    • 20644470598 scopus 로고
    • The mechanism of stochastic resonance
    • doi:10.1088/0305-4470/14/11/006
    • Benzi R, Sutera A, Vulpiani A. 1981 The mechanism of stochastic resonance. J. Phys. A 14, 453-457. (doi:10.1088/0305-4470/14/11/006)
    • (1981) J. Phys. A , vol.14 , pp. 453-457
    • Benzi, R.1    Sutera, A.2    Vulpiani, A.3
  • 11
    • 0007240382 scopus 로고    scopus 로고
    • Energy balancemodels: Viewed fromstochastic dynamics
    • (eds P Imkeller, J-S Von Storch). Prog. Prob. Basel, Switzerland: Birkhäuser
    • Imkeller P. 2001 Energy balancemodels: viewed fromstochastic dynamics. In Stochastic climate models (eds P Imkeller, J-S Von Storch). Prog. Prob. vol. 49, pp. 213-240. Basel, Switzerland: Birkhäuser.
    • (2001) Stochastic Climate Models , vol.49 , pp. 213-240
    • Imkeller, P.1
  • 12
    • 0020969289 scopus 로고
    • Simple energy balance model resolving the seasons and the continents: Application to the astronomical theory of the ice ages
    • doi:10.1029/JC088iC11p06576
    • North GR, Mengel JG, Short DA. 1983 Simple energy balance model resolving the seasons and the continents: application to the astronomical theory of the ice ages. J. Geophys. Res. 88, 6576-6586. (doi:10.1029/JC088iC11p06576)
    • (1983) J. Geophys. Res. , vol.88 , pp. 6576-6586
    • North, G.R.1    Mengel, J.G.2    Short, D.A.3
  • 13
    • 33847387144 scopus 로고    scopus 로고
    • The detection and attribution of climate change using an ensemble of opportunity
    • doi:10.1175/ JCLI3966.1
    • Stone DA, Allen MR, Selten F, Kliphuis M, Stott PA. 2007 The detection and attribution of climate change using an ensemble of opportunity. J. Clim. 20, 504-516. (doi:10.1175/ JCLI3966.1)
    • (2007) J. Clim. , vol.20 , pp. 504-516
    • Stone, D.A.1    Allen, M.R.2    Selten, F.3    Kliphuis, M.4    Stott, P.A.5
  • 14
    • 0001640565 scopus 로고
    • Cryothermodynamics: The chaotic dynamics of paleoclimate
    • doi:10.1016/0167-2789(94)90131-7
    • Ghil M. 1994 Cryothermodynamics: the chaotic dynamics of paleoclimate, Physica D 77, 130-159. (doi:10.1016/0167-2789(94)90131-7)
    • (1994) Physica D , vol.77 , pp. 130-159
    • Ghil, M.1
  • 15
    • 59149091130 scopus 로고    scopus 로고
    • Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model
    • doi:10.1016/j.mcm.2008.04.010
    • Bermejo R, Carpio J, Diaz JI, Tello L. 2008 Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model. Math. Comput. Modell. 49, 1180-1210. (doi:10.1016/j.mcm.2008.04.010)
    • (2008) Math. Comput. Modell. , vol.49 , pp. 1180-1210
    • Bermejo, R.1    Carpio, J.2    Diaz, J.I.3    Tello, L.4
  • 16
    • 47249153111 scopus 로고    scopus 로고
    • Climate dynamics and fluid mechanics: Natural variability and related uncertainties
    • doi:10.1016/j. physd.2008.03.036
    • Ghil M, Chekroun MD, Simonnet E. 2008 Climate dynamics and fluid mechanics: natural variability and related uncertainties. Physica D 237, 2111-2126. (doi:10.1016/j. physd.2008.03.036)
    • (2008) Physica D , vol.237 , pp. 2111-2126
    • Ghil, M.1    Chekroun, M.D.2    Simonnet, E.3
  • 17
    • 0020330276 scopus 로고
    • Internal variability of an energy-balance model with delayed albedo effects
    • doi:10.1175/1520-0469 (1982)039<1747:IVOAEB>2.0.CO;2
    • Bhattacharya K, Ghil M, Vulis IL. 1982 Internal variability of an energy-balance model with delayed albedo effects. J. Atmos. Sci. 39, 1747-1773. (doi:10.1175/1520-0469 (1982)039<1747:IVOAEB>2.0.CO;2)
    • (1982) J. Atmos. Sci. , vol.39 , pp. 1747-1773
    • Bhattacharya, K.1    Ghil, M.2    Vulis, I.L.3
  • 18
    • 78651392362 scopus 로고    scopus 로고
    • Stochastic climate dynamics: Random attractors and time-dependent invariant measures
    • doi:10.1016/j. physd.2011.06.005
    • Chekroun MD, Simonnet E, Ghil M. 2011 Stochastic climate dynamics: random attractors and time-dependent invariant measures. Physica D 240, 1685-1700. (doi:10.1016/j. physd.2011.06.005)
    • (2011) Physica D , vol.240 , pp. 1685-1700
    • Chekroun, M.D.1    Simonnet, E.2    Ghil, M.3
  • 19
    • 84972493996 scopus 로고
    • A functional reaction-diffusion equation from climatemodeling: S-shapedness of the principal branch of fixed points of the time-1-map
    • doi:10.1016/S0362-546X(97)00119-3
    • Hetzer G. 1995 A functional reaction-diffusion equation from climatemodeling: S-shapedness of the principal branch of fixed points of the time-1-map. Differ. Integral Equ. 8, 1047-1059. (doi:10.1016/S0362-546X(97) 00119-3)
    • (1995) Differ. Integral Equ. , vol.8 , pp. 1047-1059
    • Hetzer, G.1
  • 20
    • 0042546917 scopus 로고    scopus 로고
    • A quasilinear functional reaction-diffusion equation from climate modeling
    • doi:10.1016/S0362-546X(97)00119-3
    • Diaz JI, Hetzer G. 1997 A quasilinear functional reaction-diffusion equation from climate modeling. Nonlinear Anal. 30, 2547-2556. (doi:10.1016/S0362-546X(97)00119-3)
    • (1997) Nonlinear Anal. , vol.30 , pp. 2547-2556
    • Diaz, J.I.1    Hetzer, G.2
  • 21
    • 1642293330 scopus 로고    scopus 로고
    • Physical-statistical modeling in geophysics
    • doi:10.1029/2002JD002865
    • Berliner LM. 2003 Physical-statistical modeling in geophysics. J. Geophys. Res. 108, 8776. (doi:10.1029/2002JD002865)
    • (2003) J. Geophys. Res. , vol.108 , pp. 8776
    • Berliner, L.M.1
  • 22
    • 0043180459 scopus 로고    scopus 로고
    • Hierarchical models in environmental science
    • doi:10.1111/j.1751-5823.2003.tb00192.x
    • Wikle CK. 2003 Hierarchical models in environmental science. Int. Stat. Rev. 71, 181-199. (doi:10.1111/j.1751-5823.2003.tb00192.x)
    • (2003) Int. Stat. Rev. , vol.71 , pp. 181-199
    • Wikle, C.K.1
  • 23
    • 78951482249 scopus 로고    scopus 로고
    • A statistical-reaction-diffusion approach for analyzing expansion processes
    • doi:10.1016/j.jtbi.2011.01.006
    • Roques L, Soubeyrand S, Rousselet J. 2011 A statistical-reaction- diffusion approach for analyzing expansion processes. J. Theor. Biol. 274, 43-51. (doi:10.1016/j.jtbi.2011.01.006)
    • (2011) J. Theor. Biol. , vol.274 , pp. 43-51
    • Roques, L.1    Soubeyrand, S.2    Rousselet, J.3
  • 24
    • 0032571706 scopus 로고    scopus 로고
    • Ice core age dating and paleothermometer calibration based on isotope and temperature profiles from deep boreholes at Vostok Station (East Antarctica)
    • doi:10.1029/97JD02253
    • Salamatin A, Lipenkov V, Barkov N, Jouzel J, Petit J, Raynaud D. 1998 Ice core age dating and paleothermometer calibration based on isotope and temperature profiles from deep boreholes at Vostok Station (East Antarctica). J. Geophys. Res. 103, 8963-8977. (doi:10.1029/97JD02253)
    • (1998) J. Geophys. Res. , vol.103 , pp. 8963-8977
    • Salamatin, A.1    Lipenkov, V.2    Barkov, N.3    Jouzel, J.4    Petit, J.5    Raynaud, D.6
  • 25
    • 11844251149 scopus 로고    scopus 로고
    • New modeling of the Vostok ice flow line and implication for the glaciological chronology of the Vostok ice core
    • doi:10.1029/2004JD004561
    • Parrenin F, Rémy F, Ritz C, SiegertMJ, Jouzel J. 2004 New modeling of the Vostok ice flow line and implication for the glaciological chronology of the Vostok ice core. J. Geophys. Res. 109, D20. (doi:10.1029/2004JD004561)
    • (2004) J. Geophys. Res. , vol.109
    • Parrenin, F.1    Rémy, F.2    Ritz, C.3    Siegert, M.J.4    Jouzel, J.5
  • 26
    • 84948488871 scopus 로고
    • A note on the condition for existence of more than one steady state solution in Budyko-Sellers type models
    • doi:10.1175/ 1520-0469(1978)035<1123:ANOTCF>2.0.CO;2
    • Crafoord C, Källén E. 1978 A note on the condition for existence of more than one steady state solution in Budyko-Sellers type models. J. Atmos. Sci. 35, 1123-1125. (doi:10.1175/ 1520-0469(1978)035<1123: ANOTCF>2.0.CO;2)
    • (1978) J. Atmos. Sci. , vol.35 , pp. 1123-1125
    • Crafoord, C.1    Källén, E.2
  • 27
    • 84987058265 scopus 로고
    • Structural and stochastic analysis of a zero-dimensional climate system
    • doi:10.1002/qj.49710444017
    • Fraedrich K. 1978 Structural and stochastic analysis of a zero-dimensional climate system. Q. J. R. Meteorol. Soc. 104, 461-474. (doi:10.1002/qj.49710444017)
    • (1978) Q. J. R. Meteorol. Soc. , vol.104 , pp. 461-474
    • Fraedrich, K.1
  • 28
    • 84987094796 scopus 로고
    • Catastrophes and resilience of a zero-dimensional climate system with ice-albedo and greenhouse feedback
    • doi:10.1002/ qj.49710544310
    • Fraedrich K. 1979 Catastrophes and resilience of a zero-dimensional climate system with ice-albedo and greenhouse feedback. Q. J. R. Meteorol. Soc. 105, 147-167. (doi:10.1002/ qj.49710544310)
    • (1979) Q. J. R. Meteorol. Soc. , vol.105 , pp. 147-167
    • Fraedrich, K.1
  • 29
    • 0021639629 scopus 로고
    • Climate sensitivity, energy balance models, and oscillatory climate models
    • doi:10.1029/JD089iD01p01280
    • Ghil M. 1984 Climate sensitivity, energy balance models, and oscillatory climate models. J. Geophys. Res. 89, 280-1284. (doi:10.1029/JD089iD01p01280)
    • (1984) J. Geophys. Res. , vol.89 , pp. 280-1284
    • Ghil, M.1
  • 30
    • 84856884582 scopus 로고    scopus 로고
    • Albedo parametrization and reversibility of sea ice decay
    • doi:10.5194/npg-19-81-2012
    • Müller-Stoffels M, Wackerbauer R. 2012 Albedo parametrization and reversibility of sea ice decay. Nonlinear Process. Geophys. 19, 81-94. (doi:10.5194/npg-19-81-2012)
    • (2012) Nonlinear Process. Geophys. , vol.19 , pp. 81-94
    • Müller-Stoffels, M.1    Wackerbauer, R.2
  • 31
    • 0003345730 scopus 로고    scopus 로고
    • Theory and applications of partial functional differential equations
    • New York, NY: Springer
    • Wu J. 1996 Theory and applications of partial functional differential equations. Applied Mathematical Sciences, vol. 119. New York, NY: Springer.
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.1
  • 32
    • 0242689013 scopus 로고    scopus 로고
    • Dynamics of evolutionary equations
    • New York, NY: Springer
    • Sell GR, You Y. 2002 Dynamics of evolutionary equations. Applied Mathematical Sciences, vol. 143. New York, NY: Springer.
    • (2002) Applied Mathematical Sciences , vol.143
    • Sell, G.R.1    You, Y.2
  • 33
    • 36248944172 scopus 로고    scopus 로고
    • Quasilinear parabolic functional evolution equations. in Recent advances in elliptic and parabolic issues
    • (eds M Chipot, H Ninomiya) Singapore:World Scientific
    • Amann H. 2006 Quasilinear parabolic functional evolution equations. In Recent advances in elliptic and parabolic issues (eds M Chipot, H Ninomiya). Proc. 2004 Swiss-Japanese Seminar, pp. 19-44. Singapore:World Scientific.
    • (2006) Proc. 2004 Swiss-Japanese Seminar , pp. 19-44
    • Amann, H.1
  • 36
    • 0035420162 scopus 로고    scopus 로고
    • Simultaneous reconstruction of the initial temperature and heat radiative coefficient
    • doi:10.1088/0266-5611/17/4/340
    • Yamamoto M, Zou J. 2001 Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Inverse Probl. 17, 1181-1202. (doi:10.1088/0266-5611/17/4/340)
    • (2001) Inverse Probl. , vol.17 , pp. 1181-1202
    • Yamamoto, M.1    Zou, J.2
  • 37
    • 33646356262 scopus 로고    scopus 로고
    • Inverse source problem for a transmission problem for a parabolic equation
    • doi:10.1515/156939406776237456
    • Belassoued M, Yamamoto M. 2006 Inverse source problem for a transmission problem for a parabolic equation. J. Inverse Ill-Posed Probl. 14, 47-56. (doi:10.1515/156939406776237456)
    • (2006) J. Inverse Ill-Posed Probl. , vol.14 , pp. 47-56
    • Belassoued, M.1    Yamamoto, M.2
  • 38
    • 52349120753 scopus 로고    scopus 로고
    • Biological invasions: Deriving the regions at risk from partial measurements
    • doi:10.1016/j.mbs.2008.07.004
    • Cristofol M, Roques L. 2008 Biological invasions: deriving the regions at risk from partial measurements. Math. Biosci. 215, 158-166. (doi:10.1016/j.mbs.2008.07.004)
    • (2008) Math. Biosci. , vol.215 , pp. 158-166
    • Cristofol, M.1    Roques, L.2
  • 39
    • 77149156915 scopus 로고    scopus 로고
    • On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation
    • doi:10.1088/0951- 7715/23/3/014
    • Roques L, Cristofol M. 2010 On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation. Nonlinearity 23, 675-686. (doi:10.1088/0951- 7715/23/3/014)
    • (2010) Nonlinearity , vol.23 , pp. 675-686
    • Roques, L.1    Cristofol, M.2
  • 40
    • 82255162162 scopus 로고    scopus 로고
    • Uniqueness from pointwise observations in a multi-parameter inverse problem
    • doi:10.3934/ cpaa.2012.11.173
    • Cristofol M, Garnier J, Hamel F, Roques L. 2011 Uniqueness from pointwise observations in a multi-parameter inverse problem. Commun. Pure Appl. Anal. 11, 1-15. (doi:10.3934/ cpaa.2012.11.173)
    • (2011) Commun. Pure Appl. Anal. , vol.11 , pp. 1-15
    • Cristofol, M.1    Garnier, J.2    Hamel, F.3    Roques, L.4
  • 43
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • doi:10.1093/biomet/57.1.97
    • Hastings WK. 1970 Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57, 97-109. (doi:10.1093/biomet/57.1.97)
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 45
    • 79961055478 scopus 로고    scopus 로고
    • Predicting stochastic systems by noise sampling, and application to the El Niño southern oscillation
    • doi:10.1073/pnas.1015753108
    • Chekroun MD, Kondrashov D, GhilM. 2011 Predicting stochastic systems by noise sampling, and application to the El Niño southern oscillation. Proc. Natl Acad. Sci. USA 108, 11 766- 11 771. (doi:10.1073/pnas.1015753108)
    • (2011) Proc. Natl Acad. Sci. USA , vol.108 , pp. 11766-11771
    • Chekroun, M.D.1    Kondrashov, D.2    Ghil, M.3
  • 46
    • 0000424723 scopus 로고
    • Optimal excitation of perturbations in viscous shear flow
    • doi:10.1063/1.866609
    • Farrell BF. 1988 Optimal excitation of perturbations in viscous shear flow. Phys. Fluids 31, 2093-2102. (doi:10.1063/1.866609)
    • (1988) Phys. Fluids , vol.31 , pp. 2093-2102
    • Farrell, B.F.1
  • 47
    • 0027542120 scopus 로고
    • Pseudospectra of the Orr-Sommerfeld operator
    • doi:10.1137/0153002
    • Reddy SC, Schmid PJ, Henningson DS. 1993 Pseudospectra of the Orr-Sommerfeld operator. SIAM J. Appl. Math. 53, 15-47. (doi:10.1137/0153002)
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 15-47
    • Reddy, S.C.1    Schmid, P.J.2    Henningson, D.S.3
  • 48
    • 0027628642 scopus 로고
    • Hydrodynamic stability without eigenvalues
    • doi:10.1126/science.261.5121.578
    • Trefethen LN, Trefethen AE, Reddy SC, Driscoll TA. 1993 Hydrodynamic stability without eigenvalues. Science 261, 578-584. (doi:10.1126/science.261. 5121.578)
    • (1993) Science , vol.261 , pp. 578-584
    • Trefethen, L.N.1    Trefethen, A.E.2    Reddy, S.C.3    Driscoll, T.A.4
  • 49
    • 34147180096 scopus 로고    scopus 로고
    • A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
    • doi:10.1590/S0101-82052006000200007
    • Cavaterra C, Lorenzi A, Yamamoto M. 2006 A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation. Comput. Appl. Math. 25, 229-250. (doi:10.1590/S0101-82052006000200007)
    • (2006) Comput. Appl. Math. , vol.25 , pp. 229-250
    • Cavaterra, C.1    Lorenzi, A.2    Yamamoto, M.3
  • 50
    • 33748254988 scopus 로고    scopus 로고
    • National Research Council, Washington, DC: National Academies Press
    • National Research Council 2006. Surface temperature reconstructions for the last 2000 years, 196 pp.Washington, DC: National Academies Press.
    • (2006) Surface Temperature Reconstructions for the Last 2000 Years , pp. 196
  • 52
    • 0003098460 scopus 로고
    • Applications of estimation theory to numerical weather prediction
    • (eds L Bengtsson, M Ghil, E Källén). Berlin, Germany: Springer
    • Ghil M, Cohn SE, Tavantzis J, Bube KP, Isaacson E. 1981 Applications of estimation theory to numerical weather prediction. In Dynamic meteorology: data assimilation methods (eds L Bengtsson, M Ghil, E Källén), pp. 139-224. Berlin, Germany: Springer.
    • (1981) Dynamic Meteorology: Data Assimilation Methods , pp. 139-224
    • Ghil, M.1    Cohn, S.E.2    Tavantzis, J.3    Bube, K.P.4    Isaacson, E.5
  • 53
    • 33645807073 scopus 로고
    • Data assimilation in meteorology and oceanography
    • doi:10.1016/S0065-2687(08)60442-2
    • Ghil M, Malanotte-Rizzoli P. 1991 Data assimilation in meteorology and oceanography. Adv. Geophys. 33, 141-266. (doi:10.1016/S0065-2687(08)60442-2)
    • (1991) Adv. Geophys. , vol.33 , pp. 141-266
    • Ghil, M.1    Malanotte-Rizzoli, P.2
  • 54
    • 64149102810 scopus 로고    scopus 로고
    • Data assimilation for a coupled ocean-atmosphere model. Part II: Parameter estimation
    • doi:10.1175/ 2008MWR2544.1
    • Kondrashov D, Sun CJ, Ghil M. 2008 Data assimilation for a coupled ocean-atmosphere model. Part II: parameter estimation. Mon. Weather Rev. 136, 5062-5076. (doi:10.1175/ 2008MWR2544.1)
    • (2008) Mon. Weather Rev. , vol.136 , pp. 5062-5076
    • Kondrashov, D.1    Sun, C.J.2    Ghil, M.3
  • 55
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • doi:10.1175/ 1520-0469(1963)020<0130:DNF>2.0.CO;2
    • Lorenz EN. 1963 Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141. (doi:10.1175/ 1520-0469(1963)020<0130:DNF>2.0.CO;2)
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 58
    • 0026260771 scopus 로고
    • A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
    • doi:10.1016/0017-9310(91)90251-9
    • Jarny Y, Ozisik MN, Bardon JP. 1991 A general optimization method using adjoint equation for solving multidimensional inverse heat conduction. Int. J. Heat Mass Transfer 34, 2911-2919. (doi:10.1016/0017-9310(91)90251-9)
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 2911-2919
    • Jarny, Y.1    Ozisik, M.N.2    Bardon, J.P.3
  • 59
    • 34548636057 scopus 로고    scopus 로고
    • Transition to turbulence, small disturbances, and sensitivity analysis I: A motivating problem
    • doi:10.1016/j.jmaa.2007.03.094
    • Singler JR. 2008 Transition to turbulence, small disturbances, and sensitivity analysis I: a motivating problem. J. Math. Anal. Appl. 337, 1425-1441. (doi:10.1016/j.jmaa.2007.03.094)
    • (2008) J. Math. Anal. Appl. , vol.337 , pp. 1425-1441
    • Singler, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.