Sam Stechmann

Journal Articles

2023:

1. Du S, Stechmann S N, 2023: Element learning: a systematic approach of accelerating finite element-type methods via machine learning, with applications to radiative transfer. Submitted. [ arxiv ]
2. Du S, Stechmann S N, 2023: Inverse radiative transfer with goal-oriented hp-adaptive mesh refinement: adaptive-mesh inversion. Inverse Problems , in press. [ pdf , journal ]
3. Du S, Stechmann S N, 2023: Fast, low-memory numerical methods for radiative transfer via hp-adaptive mesh refinement. J. Comput. Phys. 480, 112021. (21 pages) [ pdf , journal ]
4. Nair A, Li Q, Stechmann S N, 2023: Scintillation minimization versus intensity maximization in optimal beams. Optics Letters 48, 3865-3868. [ pdf , supplementary materials , journal ]
5. Hottovy S, Stechmann S N, 2023: Rain process models and convergence to point processes. Nonlin. Processes Geophys. 30, 85-100. [ pdf , journal ]
6. Kooloth P, Smith L M, Stechmann S N, 2023: Hamilton's principle with phase changes and conservation principles for moist potential vorticity. Q. J. Roy. Met. Soc. 149, 1056-1072. [ pdf , journal ]

2022:

7. Kooloth P, Smith L M, Stechmann S N, 2022: Conservation laws for potential vorticity in a salty ocean or cloudy atmosphere. Geophys. Res. Lett. 49, e2022GL100009. (8 pages) [ pdf , supporting information , journal ]
8. Chen N, Deng Q, Stechmann S N, 2022: Superfloe parameterization with physics constraints for uncertainty quantification of sea ice floes. SIAM/ASA J. Uncertain. Quantif. 10, 1384-1409. [ pdf , journal ]
9. Neelin J D, Martinez-Villalobos C, Stechmann S N, Ahmed F, Chen G, Norris J M, Kuo Y-H, Lenderink G, 2022: Precipitation extremes and water vapor: Relationships in current climate and implications for climate change. Curr. Clim. Change Rep. 8, 17-33. [ pdf , journal ]
10. Li Q, Nair A, Stechmann S N, 2022: Computation of optimal beams in weak turbulence. Optics Continuum 1, 1867-1887. [ pdf , journal ]
11. Li Y, Stechmann S N, 2022: Systematic assessment of the effects of space averaging and time averaging on weather forecast skill. Forecasting 4, 949-968. [ pdf , supplementary materials , journal ]
12. Huang T, Stechmann S N, Torchinsky J L, 2022: Framework for idealized climate simulations with spatiotemporal stochastic clouds and planetary-scale circulations. Phys. Rev. Fluids 7, 010502. (28 pages) [ pdf , journal ]
13. Zhang Y, Smith L M, Stechmann S N, 2022: Convergence to precipitating quasi-geostrophic equations with phase changes: asymptotics and numerical assessment. Phil. Trans. R. Soc. A 380, 20210030. (19 pages) [ pdf , journal ]

2021:

14. Zhang Y, Smith L M, Stechmann S N, 2021: Effects of clouds and phase changes on fast-wave averaging: A numerical assessment. J. Fluid Mech. 920, A49. (40 pages) [ pdf , journal ]
15. Zhang Y, Smith L M, Stechmann S N, 2021: Fast-wave averaging with phase changes: Asymptotics and application to moist atmospheric dynamics. J. Nonlin. Sci. 31, 38. (46 pages) [ pdf , journal ]
16. Hu R, Edwards T K, Smith L M, Stechmann S N, 2021: Initial investigations of precipitating quasi-geostrophic turbulence with phase changes. Res. Math. Sci. 8, 6. (25 pages) [ pdf , journal ]

2020:

17. Marsico D H, Stechmann S N, 2020: Expanding grids for efficient cloud dynamics simulations across scales. Math. Clim. Weather Forecast. 6, 38-49. [ pdf , journal ]
18. Stechmann S N, Hottovy S, 2020: Asymptotic models for tropical intraseasonal oscillations and geostrophic balance. J. Climate 33, 4715-4737. [ pdf , supplementary materials , journal ]
19. Mueller E A, Stechmann S N, 2020: Shallow-cloud impact on climate and uncertainty: A simple stochastic model. Math. Clim. Weather Forecast. 6, 16-37. [ pdf , journal ]
20. Li Y, Stechmann S N, 2020: Predictability of tropical rainfall and waves: Estimates from observational data. Q. J. Roy. Met. Soc. 146, 1668-1684. [ pdf , supporting information , journal ]
21. Edwards T K, Smith L M, Stechmann S N, 2020: Atmospheric rivers and water fluxes in precipitating quasi-geostrophic turbulence. Q. J. Roy. Met. Soc. 146, 1960-1975. [ pdf , journal ]
22. Edwards T K, Smith L M, Stechmann S N, 2020: Spectra of atmospheric water in precipitating quasi-geostrophic turbulence. Geophys. Astrophys. Fluid Dyn. 114, 715-741. [ pdf , journal ]
23. Wetzel A N, Smith L M, Stechmann S N, Martin J E, Zhang Y, 2020: Potential vorticity and balanced and unbalanced moisture. J. Atmos. Sci. 77, 1913-1931. [ pdf , journal ]

2019:

24. Marsico D H, Smith L M, Stechmann S N, 2019: Energy decompositions for moist Boussinesq and anelastic equations with phase changes. J. Atmos. Sci. 76, 3569-3587. [ pdf , supplementary materials , journal ]
25. Tzou C-N, Stechmann S N, 2019: Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Comm. App. Math. and Comp. Sci. 14, 121-147. [ pdf , journal ]
26. Ogrosky H R, Stechmann S N, Hottovy S, 2019: Instability and nonlinear dynamics of the MJO in a tropical channel model with vertically varying convective adjustment. Theor. Comput. Fluid Dyn. 33, 307-323. [ pdf , journal ]
27. Hernandez-Duenas G, Smith L M, Stechmann S N, 2019: Weak- and strong-friction limits of parcel models: Comparisons and stochastic convective initiation time. Q. J. Roy. Met. Soc. 145, 2272-2291. [ pdf , journal ]
28. Wetzel A N, Smith L M, Stechmann S N, 2019: Discontinuous fronts as exact solutions to precipitating quasi-geostrophic equations. SIAM J. Appl. Math. 79, 1341-1366. [ pdf , supplementary materials , journal ]
29. Wetzel A N, Smith L M, Stechmann S N, Martin J E, 2019: Balanced and unbalanced components of moist atmospheric flows with phase changes. Chin. Ann. Math. Ser. B 40, 1005-1038. Special issue in honor of Andrew J. Majda's 70th birthday. [ pdf , journal ]
30. Chen Y, Stechmann S N, 2019: Multi-model communication and data assimilation for mitigating model error and improving forecasts. Chin. Ann. Math. Ser. B 40, 689-720. Special issue in honor of Andrew J. Majda's 70th birthday. [ pdf , journal ]
31. Ogrosky H R, Stechmann S N, Chen N, Majda A J, 2019: Singular spectrum analysis with conditional predictions for real-time state estimation and forecasting. Geophys. Res. Lett. 46, 1851-1860. [ pdf , supporting information , journal , Matlab code ]

2018:

32. Li Y, Stechmann S N, 2018: Spatial and temporal averaging windows and their impact on forecasting: Exactly solvable examples. Math. Clim. Weather Forecast. 4, 23-49. [ pdf , journal ]

2017:

33. Stechmann S N, Hottovy S, 2017: Unified spectrum of tropical rainfall and waves in a simple stochastic model. Geophys. Res. Lett. 44, 10,713-10,724. [ pdf , supporting information , journal ]
34. Smith L M, Stechmann S N, 2017: Precipitating quasigeostrophic equations and potential vorticity inversion with phase changes. J. Atmos. Sci. 74, 3285-3303. [ pdf , journal ]
35. Wetzel A N, Smith L M, Stechmann S N, 2017: Moisture transport due to baroclinic waves: Linear analysis of precipitating quasi-geostrophic dynamics. Math. Clim. Weather Forecast. 3, 28-50. [ pdf , journal ]
36. Ogrosky H R, Stechmann S N, Majda A J, 2017: Boreal summer intraseasonal oscillations in the MJO skeleton model with observation-based forcing. Dyn. Atmos. Oceans 78, 38-56. [ pdf , journal ]
37. Neelin J D, Sahany S, Stechmann S N, Bernstein D N, 2017: Global warming precipitation accumulation increases above the current-climate cutoff scale. Proc. Natl. Acad. Sci. 114, 1258-1263. [ pdf , supporting information , journal ]

2016:

38. Thual S, Majda A J, Chen N, Stechmann S N, 2016: Simple stochastic model for El Niño with westerly wind bursts. Proc. Natl. Acad. Sci. 113, 10245-10250. [ pdf , supporting information , journal ]
39. Abbott T H, Stechmann S N, Neelin J D, 2016: Long temporal autocorrelations in tropical precipitation data and spike train prototypes. Geophys. Res. Lett. 43, 11,472-11,480. [ pdf , supporting information , journal ]
40. Stechmann S N, Hottovy S, 2016: Cloud regimes as phase transitions. Geophys. Res. Lett. 43, 6579-6587. [ pdf , supporting information , journal ]
41. Ogrosky H R, Stechmann S N, 2016: Identifying convectively coupled equatorial waves using theoretical wave eigenvectors. Mon. Wea. Rev. 144, 2235-2264. [ pdf , journal ]
42. Chen S, Stechmann S N, 2016: Nonlinear traveling waves for the skeleton of the Madden-Julian oscillation. Comm. Math. Sci. 14, 571-592. [ pdf , journal ]
43. Chen S, Majda A J, Stechmann S N, 2016: Tropical-extratropical interactions with the MJO skeleton and climatological mean flow. J. Atmos. Sci. 73, 4101-4116. [ pdf , journal ]

2015:

44. Chen S, Majda A J, Stechmann S N, 2015: Multiscale asymptotics for the skeleton of the Madden-Julian oscillation and tropical-extratropical interactions. Math. Clim. Weather Forecast. 1, 43-69. [ pdf , journal ]
45. Hottovy S, Stechmann S N, 2015: A spatiotemporal stochastic model for tropical precipitation and water vapor dynamics. J. Atmos. Sci. 72, 4721-4738. [ pdf , journal ]
46. Hottovy S, Stechmann S N, 2015: Threshold models for rainfall and convection: Deterministic versus stochastic triggers. SIAM J. Appl. Math. 75, 861-884. [ pdf , journal ]
47. Ogrosky H R, Stechmann S N, 2015: Assessing the equatorial long-wave approximation: asymptotics and observational data analysis. J. Atmos. Sci. 72, 4821-4843. [ pdf , supplementary materials , journal ]
48. Ogrosky H R, Stechmann S N, 2015: The MJO skeleton model with observation-based background state and forcing. Q. J. Roy. Met. Soc. 141, 2654-2669. [ pdf , journal ]
49. Hernandez-Duenas G, Smith L M, Stechmann S N, 2015: Stability and instability criteria for idealized precipitating hydrodynamics. J. Atmos. Sci. 72, 2379-2393. [ pdf , journal ]
50. Stachnik J P, Waliser D E, Majda A J, Stechmann S N, Thual S, 2015: Evaluating MJO event initiation and decay in the skeleton model using an RMM-like index. J. Geophys. Res.-Atmos. 120, 11,486-11,508. [ pdf , journal ]
51. Frenkel Y, Majda A J, Stechmann S N, 2015: Cloud-radiation feedback and atmosphere-ocean coupling in a stochastic multicloud model. Dyn. Atmos. Oceans 71, 35-55. [ pdf , journal ]
52. Thual S, Majda A J, Stechmann S N, 2015: Asymmetric intraseasonal events in the stochastic skeleton MJO model with seasonal cycle. Clim. Dyn. 45, 603-618. [ pdf , journal ]
53. Stechmann S N, Majda A J, 2015: Identifying the skeleton of the Madden-Julian oscillation in observational data. Mon. Wea. Rev. 143, 395-416. [ pdf , journal ]

2014:

54. Stechmann S N, Ogrosky H R, 2014: The Walker circulation, diabatic heating, and outgoing longwave radiation. Geophys. Res. Lett. 41, 9097-9105. [ pdf, auxiliary material, journal ]
55. Stechmann S N, Neelin J D, 2014: First-passage-time prototypes for precipitation statistics. J. Atmos. Sci. 71, 3269-3291. [ pdf , journal ]
56. Stechmann S N, 2014: Multiscale eddy simulation for moist atmospheric convection: Preliminary investigation. J. Comput. Phys. 271, 99-117. [ pdf , journal ]
57. Thual S, Majda A J, Stechmann S N, 2014: A stochastic skeleton model for the MJO. J. Atmos. Sci. 71, 697-715. [ pdf , journal ]
58. Hernandez-Duenas G, Smith L M, Stechmann S N, 2014: Investigation of Boussinesq dynamics using intermediate models based on wave-vortical interactions. J. Fluid Mech. 747, 247-287. [ pdf , journal ]

2013:

59. Hernandez-Duenas G, Majda A J, Smith L M, Stechmann S N, 2013: Minimal models for precipitating turbulent convection. J. Fluid Mech. 717, 576-611. [ pdf , journal ]
60. Khouider B, Majda A J, Stechmann S N, 2013: Climate science in the tropics: waves, vortices, and PDEs. Nonlinearity 26, R1-R68. Invited review. [ pdf , journal ]
61. Stechmann S N, Majda A J, Skjorshammer D, 2013: Convectively coupled wave-environment interactions. Theor. Comput. Fluid Dyn. 27, 513-532. [ pdf , journal ]

2012:

62. Khouider B, Han Y, Majda A J, Stechmann S N, 2012: Multiscale waves in an MJO background and convective momentum transport feedback. J. Atmos. Sci. 69, 915-933. [ pdf , journal ]

2011:

63. Majda A J, Stechmann S N, 2011: Nonlinear dynamics and regional variations in the MJO skeleton. J. Atmos. Sci. 68, 3053-3071. [ pdf , journal ]
64. Stechmann S N, Neelin J D, 2011: A stochastic model for the transition to strong convection. J. Atmos. Sci. 68, 2955-2970. [ pdf , journal ]

2010:

65. Stechmann S N, Stevens B, 2010: Multiscale models for cumulus cloud dynamics. J. Atmos. Sci. 67, 3269-3285. [ pdf, journal ]
66. Neelin J D, Lintner B R, Tian B, Li Q, Zhang L, Patra P K, Chahine M T, Stechmann S N, 2010: Long tails in deep columns of natural and anthropogenic tropospheric tracers. Geophys. Res. Lett. 37, L05804, doi:10.1029/2009GL041726. [ pdf, auxiliary material, journal ]

2009:

67. Majda A J, Stechmann S N, 2009: The skeleton of tropical intraseasonal oscillations. Proc. Natl. Acad. Sci. 106, 8417-8422. [ pdf, journal ]
68. Stechmann S N, Majda A J, 2009: Gravity waves in shear and implications for organized convection. J. Atmos. Sci. 66, 2579-2599. [ pdf, journal ]
69. Majda A J, Stechmann S N, 2009: A simple dynamical model with features of convective momentum transport. J. Atmos. Sci. 66, 373-392. [ pdf, journal ]

2008:

70. Majda A J, Stechmann S N, 2008: Stochastic models for convective momentum transport. Proc. Natl. Acad. Sci. 105, 17614-17619. [ pdf, journal ]
71. Stechmann S N, Majda A J, Khouider B, 2008: Nonlinear dynamics of hydrostatic internal gravity waves. Theor. Comput. Fluid Dyn. 22, 407-432. [ pdf, journal ]

2007:

72. Majda A J, Stechmann S N, Khouider B, 2007: Madden-Julian Oscillation analog and intraseasonal variability in a multicloud model above the equator. Proc. Natl. Acad. Sci. 104, 9919-9924. [ pdf, supporting information, journal ]

2006:

73. Stechmann S N, Majda A J, 2006: The structure of precipitation fronts for finite relaxation time. Theor. Comput. Fluid Dyn. 20, 377-404. [ pdf, journal ]

2004:

74. Holm D D, Putkaradze V, Stechmann S N, 2004: Rotating concentric circular peakons. Nonlinearity 17, 2163-2186. [ pdf, journal ]

2002:

75. Jasper A W, Stechmann S N, Truhlar D G, 2002: Fewest-switches with time uncertainty: A modified trajectory surface-hopping algorithm with better accuracy for classically forbidden electronic transitions. J. Chem. Phys. 116, 5424-5431. [ pdf, erratum, journal ]

Books

1. Majda A J, Stechmann S N, Chen S, Ogrosky H R, Thual S, 2019: Tropical Intraseasonal Variability and the Stochastic Skeleton Method. Springer Briefs in Mathematics of Planet Earth. 123 pages. [ book , doi ]

Book Chapters

1. Majda A J, Stechmann S N, 2016: Models for Multiscale Interactions, II: Madden-Julian Oscillation, Moisture, and Convective Momentum Transport. In Multiscale Convection-Coupled Systems in the Tropics: A Tribute to Michio Yanai. American Meteorological Society Monographs. Tung W-W, Fovell R, Matsuno T (editors). Chapter 10. Pages 10.1-10.5. [ pdf , book ]
2. Majda A J, Stechmann S N, 2015: Madden-Julian Oscillation: Skeleton and Conceptual Models. In Encyclopedia of Atmospheric Sciences, 2nd edition. Elsevier. North G R (editor-in-chief), Pyle J, and Zhang F (editors). Vol 6, pp. 137-145. [ book ]
3. Stechmann S N, 2015: Multi-scale multi-cloud modeling in the tropics. In Encyclopedia of Applied and Computational Mathematics. Engquist B (editor), Springer. Pages 992-1002. [ book ]
4. Holm D D, Munn J, Stechmann S N, 2013: Singular solutions of Euler-Poincaré equations on manifolds with symmetry. In Recent Trends in Dynamical Systems, Springer Proceedings in Mathematics & Statistics, Volume 35, Springer Basel. Johann A, Kruse H-P, Rupp F and Schmitz S (editors). Pages 267-316. [ book ]
5. Majda A J, Stechmann S N, 2012: Multiscale theories for the MJO. In Intraseasonal Variability in the Atmosphere-Ocean Climate System, 2nd edition. Lau W K M, Waliser D E (editors). Pages 549-568. [ book ]

Other Publications

1. Stechmann S N, 2016: Stochastic PDEs for tropical weather and climate. Notices Amer. Math. Soc. 63, 1016. [ pdf , journal ]