Sciences and Exploration Directorate

Alexander Marshak

((AST, CLIMATE & RADIATION STUDIES))

 alexander.marshak-1@nasa.gov

 301.614.6122

Org Code: 613

NASA/GSFC
Mail Code: 613
Greenbelt, MD 20771

Employer: NASA

Brief Bio


Alexander Marshak received the M.S. degree in applied mathematics from Tartu University, Estonia, in 1978 and the Ph.D. degree in numerical analysis from the Academy of Sciences of the USSR, Novosibirsk, Russia, in 1983. In 1978, he joined the Institute of Astrophysics and Atmospheric Physics in Estonia, where he worked for 11 years. In 1989, he received an Alexander von Humboldt fellowship and worked for two years with Göttingen University, Germany. In 1991, he joined GSFC, first working for SSAI, then UMBC/JCET, and finally, NASA/GSFC, where he has been since January 2003.


Dr. A. Marshak conducts research on remote sensing of clouds, aerosols and blowing snow, on cloud-aerosol interaction, and on many aspects of atmospheric radiative transfer. He is the Deputy Project Scientist for the Deep Space Climate Observatory (DSCOVR) satellite mission, and a member of the CALIPSO and MODIS Science Teams, and the International Radiation Commission.


Dr. Marshak has published over 200 refereed papers, books, and chapters in edited volumes. Web of Science publications and citation metrics can be found here; see also Google Scholar.

Education


M.S. in Applied Mathematics (1978) from Tartu State University, Estonia
Ph.D. in Numerical Analysis (1983) from the Computer Center of the Academy of Sciences of the USSR, Novosibirsk, Russia

Publications


Refereed

Szabo, A., and A. Marshak. 2023. DSCOVR: Monitoring Earth’s Climate and the Threat of the Sun’s Weather Scientia [10.33548/scientia876]

Alexandrov, M. D., A. Marshak, B. Cairns, and A. S. Ackerman. 2022. Markovian Statistical Model of Cloud Optical Thickness. Part I: Theory and Examples Journal of the Atmospheric Sciences 79 (12): 3315-3332 [10.1175/jas-d-22-0125.1]

Wen, G., A. Marshak, J. Herman, and D. Wu. 2022. Reduction of Spectral Radiance Reflectance During the Annular Solar Eclipse of 21 June 2020 Observed by EPIC Frontiers in Remote Sensing 3 [10.3389/frsen.2022.777314]

Carlson, B. E., A. A. Lacis, G. L. Russell, A. Marshak, and W. Su. 2022. Unique Observational Constraints on the Seasonal and Longitudinal Variability of the Earth’s Planetary Albedo and Cloud Distribution Inferred From EPIC Measurements Frontiers in Remote Sensing 2 [10.3389/frsen.2021.788525]

Davis, A. B., Y. Yang, and A. Marshak. 2022. EPIC/DSCOVR as a Pathfinder in Cloud Remote Sensing Using Differential Oxygen Absorption Spectroscopy Frontiers in Remote Sensing 3 [10.3389/frsen.2022.796273]

Lacis, A. A., B. E. Carlson, G. L. Russell, A. Marshak, and W. Su. 2022. Unique NISTAR-Based Climate GCM Diagnostics of the Earth’s Planetary Albedo and Spectral Absorption Through Longitudinal Data Slicing Frontiers in Remote Sensing 3 [10.3389/frsen.2022.766917]

Delgado-Bonal, A., A. Marshak, Y. Yang, and L. Oreopoulos. 2022. Cloud Height Daytime Variability From DSCOVR/EPIC and GOES-R/ABI Observations Frontiers in Remote Sensing 3 [10.3389/frsen.2022.780243]

Boyd, P. T., E. L. Wilson, A. P. Smale, et al. P. Supsinskas, T. A. Livengood, T. Hewagama, G. L. Villanueva, A. Marshak, N. A. Krotkov, P. Pokorny, J. Bixler, J. D. Noland, G. Ramu, P. Cleveland, J. Ganino, M. Jhabvala, E. Quintana, E. Gilbert, K. Colón, G. N. Arney, S. D. Domagal-Goldman, A. Mandell, T. Barclay, M. Kuchner, and L. Ott. 2022. EarthShine: Observing our world as an exoplanet from the surface of the Moon Journal of Astronomical Telescopes, Instruments, and Systems 8 (01): 014003 [10.1117/1.jatis.8.1.014003]

Valero, F. P., A. Marshak, and P. Minnis. 2021. Lagrange Point Missions: The Key to next Generation Integrated Earth Observations. DSCOVR Innovation Frontiers in Remote Sensing 2 [10.3389/frsen.2021.745938]

Lyapustin, A., Y. Wang, S. Go, et al. M. Choi, S. Korkin, D. Huang, Y. Knyazikhin, K. Blank, and A. Marshak. 2021. Atmospheric Correction of DSCOVR EPIC: Version 2 MAIAC Algorithm Frontiers in Remote Sensing 2 [10.3389/frsen.2021.748362]

Gorkavyi, N., S. Carn, M. DeLand, et al. Y. Knyazikhin, N. Krotkov, A. Marshak, R. Myneni, and A. Vasilkov. 2021. Earth Imaging From the Surface of the Moon With a DSCOVR/EPIC-Type Camera Frontiers in Remote Sensing 2 [10.3389/frsen.2021.724074]

Marshak, A., A. Delgado-Bonal, and Y. Knyazikhin. 2021. Effect of Scattering Angle on Earth Reflectance Frontiers in Remote Sensing 2 [10.3389/frsen.2021.719610]

Marshak, A., A. Ackerman, A. Da Silva, et al. T. Eck, B. Holben, R. Kahn, R. Kleidman, K. Knobelspiesse, R. C. Levy, A. Lyapustin, L. Oreopoulos, L. Remer, O. Torres, T. Varnai, G. Wen, and J. Yorks. 2021. Aerosol properties in cloudy environments from remote sensing observations: a review of the current state of knowledge Bulletin of the American Meteorological Society 1-57 [10.1175/bams-d-20-0225.1]

Geogdzhayev, I. V., A. Marshak, and M. Alexandrov. 2021. Calibration of the DSCOVR EPIC Visible and NIR Channels using Multiple LEO Radiometers Frontiers in Remote Sensing 2 [10.3389/frsen.2021.671933]

Lyapustin, A., S. Go, S. Korkin, et al. Y. Wang, O. Torres, H. Jethva, and A. Marshak. 2021. Retrievals of Aerosol Optical Depth and Spectral Absorption From DSCOVR EPIC Frontiers in Remote Sensing 2 [10.3389/frsen.2021.645794]

Wen, G., and A. Marshak. 2021. Precipitable Water Vapor Variation in the Clear-Cloud Transition Zone From the ARM Shortwave Spectrometer IEEE Geoscience and Remote Sensing Letters 1-5 [10.1109/lgrs.2021.3064334]

Várnai, T., and A. Marshak. 2021. Analysis of Near-Cloud Changes in Atmospheric Aerosols Using Satellite Observations and Global Model Simulations Remote Sensing 13 (6): 1151 [10.3390/rs13061151]

Riihimaki, L. D., C. Flynn, A. McComiskey, et al. D. Lubin, Y. Blanchard, J. C. Chiu, G. Feingold, D. R. Feldman, J. J. Gristey, C. Herrera, G. Hodges, E. Kassianov, S. E. LeBlanc, A. Marshak, J. J. Michalsky, P. Pilewskie, S. Schmidt, R. C. Scott, Y. Shea, K. Thome, R. Wagener, and B. Wielicki. 2021. The Shortwave Spectral Radiometer for Atmospheric Science: Capabilities and Applications from the ARM User Facility Bulletin of the American Meteorological Society 102 (3): E539-E554 [10.1175/bams-d-19-0227.1]

Kostinski, A., A. Marshak, and T. Várnai. 2021. Deep Space Observations of Terrestrial Glitter Earth and Space Science 8 (2): 2020EA001521 [10.1029/2020ea001521]

Delgado‐Bonal, A., A. Marshak, Y. Yang, and L. Oreopoulos. 2021. Global daytime variability of clouds from DSCOVR/EPIC observations Geophysical Research Letters 48 [10.1029/2020gl091511]

Varnai, T., A. Marshak, and A. B. Kostinski. 2020. Deep Space Observations of Cloud Glints: Spectral and Seasonal Dependence IEEE Geoscience and Remote Sensing Letters 1-5 [10.1109/lgrs.2020.3040144]

Yin, B., Q. Min, E. Morgan, et al. Y. Yang, A. Marshak, and A. B. Davis. 2020. Cloud-top pressure retrieval with DSCOVR EPIC oxygen A- and B-band observations Atmospheric Measurement Techniques 13 (10): 5259-5275 [10.5194/amt-13-5259-2020]

Wen, G., A. Marshak, S.-C. Tsay, et al. J. Herman, U. Jeong, N. Abuhassan, R. Swap, and D. Wu. 2020. Changes in the surface broadband shortwave radiation budget during the 2017 eclipse Atmospheric Chemistry and Physics 20 (17): 10477-10491 [10.5194/acp-20-10477-2020]

Delgado‐Bonal, A., A. Marshak, Y. Yang, and L. Oreopoulos. 2020. Daytime Variability of Cloud Fraction From DSCOVR/EPIC Observations Journal of Geophysical Research: Atmospheres 125 (10): [10.1029/2019jd031488]

Delgado-Bonal, A., A. Marshak, Y. Yang, and D. Holdaway. 2020. Analyzing changes in the complexity of climate in the last four decades using MERRA-2 radiation data Scientific Reports 10 (1): 922 [10.1038/s41598-020-57917-8]

Carlson, B., A. Lacis, C. Colose, et al. A. Marshak, W. Su, and S. Lorentz. 2019. Spectral Signature of the Biosphere: NISTAR Finds It in Our Solar System From the Lagrangian L‐1 Point Geophysical Research Letters 46 (17-18): 10679-10686 [10.1029/2019gl083736]

Varnai, T., A. B. Kostinski, and A. Marshak. 2019. Deep Space Observations of Sun Glints from Marine Ice Clouds IEEE Geoscience and Remote Sensing Letters 17 1-5 [10.1109/lgrs.2019.2930866]

Yang, W., A. Marshak, and G. Wen. 2019. Cloud Edge Properties Measured by the ARM Shortwave Spectrometer Over Ocean and Land Journal of Geophysical Research: Atmospheres 2019JD030622 [10.1029/2019jd030622]

Wen, G., A. Marshak, W. Song, et al. Y. Knyazikhin, M. Mõttus, and D. Wu. 2019. A Relationship between Blue and Near‐IR Global Spectral Reflectance and the Response of Global Average Reflectance to Change in Cloud Cover Observed from DSCOVR EPIC Earth and Space Science 6 1416-1429 [10.1029/2019ea000664]

Delgado-Bonal, A., and A. Marshak. 2019. Approximate Entropy and Sample Entropy: A Comprehensive Tutorial Entropy 21 (6): 541 [10.3390/e21060541]

Marshak, A., and M. D. Alexandrov. 2019. Cellular Statistical Models of Broken Cloud Fields. Part IV: Effects of Pixel Size on Idealized Satellite Observations Journal of the Atmospheric Sciences 76 (5): 1329-1348 [10.1175/jas-d-18-0345.1]

Yang, Y., K. Meyer, G. Wind, et al. Y. Zhou, A. Marshak, S. Platnick, Q. Min, A. B. Davis, J. Joiner, A. Vasilkov, D. Duda, and W. Su. 2019. Cloud products from the Earth Polychromatic Imaging Camera (EPIC): algorithms and initial evaluation Atmospheric Measurement Techniques 12 (3): 2019-2031 [10.5194/amt-12-2019-2019]

Spencer, R. S., R. C. Levy, L. A. Remer, et al. S. Mattoo, G. T. Arnold, D. L. Hlavka, K. G. Meyer, A. Marshak, E. M. Wilcox, and S. E. Platnick. 2019. Exploring aerosols near clouds with high-spatial-resolution aircraft remote sensing during SEAC4RS Journal of Geophysical Research: Atmospheres [10.1029/2018jd028989]

Várnai, T., and A. Marshak. 2018. Satellite Observations of Cloud-Related Variations in Aerosol Properties Atmosphere 9 (11): 430 [10.3390/atmos9110430]

Davis, A. B., N. Ferlay, Q. Libois, et al. A. Marshak, Y. Yang, and Q. Min. 2018. Cloud information content in EPIC/DSCOVR’s oxygen A- and B-band channels: A physics-based approach Journal of Quantitative Spectroscopy and Radiative Transfer 220 84-96 [10.1016/j.jqsrt.2018.09.006]

Song, W., Y. Knyazikhin, G. Wen, et al. A. Marshak, M. Mõttus, K. Yan, B. Yang, B. Xu, T. Park, C. Chen, Y. Zeng, G. Yan, X. Mu, and R. B. Myneni. 2018. Implications of Whole-Disc DSCOVR EPIC Spectral Observations for Estimating Earth’s Spectral Reflectivity Based on Low-Earth-Orbiting and Geostationary Observations Remote Sensing 10 (10): 1594 [10.3390/rs10101594]

Marshak, A., J. Herman, A. Szabo, et al. K. Blank, S. Carn, A. Cede, I. Geogdzhayev, D. Huang, L.-K. Huang, Y. Knyazikhin, M. Kowalewski, N. Krotkov, A. Lyapustin, R. McPeters, K. Meyer, O. Torres, and Y. Yang. 2018. Earth Observations from DSCOVR/EPIC Instrument Bulletin of the American Meteorological Society BAMS-D-17-0223.1 [10.1175/bams-d-17-0223.1]

Davis, A. B., G. Merlin, C. Cornet, et al. L. C. Labonnote, J. Riédi, N. Ferlay, P. Dubuisson, Q. Min, Y. Yang, and A. Marshak. 2018. Cloud information content in EPIC/DSCOVR’s oxygen A- and B-band channels: An optimal estimation approach Journal of Quantitative Spectroscopy and Radiative Transfer 216 6-16 [10.1016/j.jqsrt.2018.05.007]

Herman, J., G. Wen, A. Marshak, et al. K. Blank, L. Huang, A. Cede, N. Abuhassan, and M. Kowalewski. 2018. Reduction in 317–780 nm radiance reflected from the sunlit Earth during the eclipse of 21 August 2017 Atmospheric Measurement Techniques 11 (7): 4373-4388 [10.5194/amt-11-4373-2018]

Grosvenor, D. P., O. Sourdeval, P. Zuidema, et al. A. Ackerman, M. D. Alexandrov, R. Bennartz, R. Boers, B. Cairns, J. C. Chiu, M. Christensen, H. Deneke, M. Diamond, G. Feingold, A. Fridlind, A. Hünerbein, C. Knist, P. Kollias, A. Marshak, D. McCoy, D. Merk, D. Painemal, J. Rausch, D. Rosenfeld, H. Russchenberg, P. Seifert, K. Sinclair, P. Stier, B. van Diedenhoven, M. Wendisch, F. Werner, R. Wood, Z. Zhang, and J. Quaas. 2018. Remote Sensing of Droplet Number Concentration in Warm Clouds: A Review of the Current State of Knowledge and Perspectives Reviews of Geophysics 56 (2): 409-453 [10.1029/2017rg000593]

Yang, W., A. Marshak, T. Várnai, and Y. Knyazikhin. 2018. EPIC Spectral Observations of Variability in Earth’s Global Reflectance Remote Sensing 10 (2): 254 [10.3390/rs10020254]

Geogdzhayev, I. V., and A. Marshak. 2018. Calibration of the DSCOVR EPIC visible and NIR channels using MODIS Terra and Aqua data and EPIC lunar observations Atmospheric Measurement Techniques 11 (1): 359-368 [10.5194/amt-11-359-2018]

Várnai, T., A. Marshak, and T. F. Eck. 2017. Observation-Based Study on Aerosol Optical Depth and Particle Size in Partly Cloudy Regions Journal of Geophysical Research: Atmospheres 122 (18): 10,013-10,024 [10.1002/2017jd027028]

Alexandrov, M. D., and A. Marshak. 2017. Cellular Statistical Models of Broken Cloud Fields. Part III: Markovian Properties Journal of the Atmospheric Sciences 74 (9): 2921-2935 [10.1175/jas-d-17-0075.1]

Xu, X., J. Wang, Y. Wang, et al. J. Zeng, O. Torres, Y. Yang, A. Marshak, J. Reid, and S. Miller. 2017. Passive remote sensing of altitude and optical depth of dust plumes using the oxygen A and B bands: First results from EPIC/DSCOVR at Lagrange-1 point Geophysical Research Letters 44 (14): 7544-7554 [10.1002/2017gl073939]

Marshak, A., T. Várnai, and A. Kostinski. 2017. Terrestrial glint seen from deep space: Oriented ice crystals detected from the Lagrangian point Geophysical Research Letters Online [10.1002/2017gl073248]

Yang, Y., A. Marshak, M. Han, S. P. Palm, and D. J. Harding. 2017. Snow grain size retrieval over the polar ice sheets with the Ice, Cloud, and land Elevation Satellite (ICESat) observations Journal of Quantitative Spectroscopy and Radiative Transfer [10.1016/j.jqsrt.2016.03.033]

Marshak, A., and Y. Knyazikhin. 2017. The spectral invariant approximation within canopy radiative transfer to support the use of the EPIC/DSCOVR oxygen B-band for monitoring vegetation Journal of Quantitative Spectroscopy and Radiative Transfer 191 7-12 [10.1016/j.jqsrt.2017.01.015]

Wen, G., A. Marshak, T. Varnai, and R. C. Levy. 2016. Testing the Two-Layer Model for Correcting Near Cloud Reflectance Enhancement Using LES/SHDOM Simulated Radiances J. Geophys. Res., Atmos. (121): 9661–9674 [10.1002/2016JD025021]

Yang, W., A. Marshak, P. J. McBride, et al. J. C. Chiu, Y. Knyazikhin, K. S. Schmidt, C. Flynn, E. R. Lewis, and E. W. Eloranta. 2016. Observation of the spectrally invariant properties of clouds in cloudy-to-clear transition zones during the MAGIC field campaign Atmospheric Research 182 294-301 [10.1016/j.atmosres.2016.08.004]

Zhang, Z., F. Werner, H.-M. Cho, et al. G. Wind, S. Platnick, A. S. Ackerman, L. Di Girolamo, A. Marshak, and K. Meyer. 2016. A framework based on 2-D Taylor expansion for quantifying the impacts of subpixel reflectance variance and covariance on cloud optical thickness and effective radius retrievals based on the bispectral method Journal of Geophysical Research: Atmospheres 121 (12): 7007-7025 [10.1002/2016jd024837]

Alexandrov, M. D., I. V. Geogdzhayev, K. Tsigaridis, et al. A. Marshak, R. Levy, and B. Cairns. 2016. New statistical model for variability of aerosol optical thickness: Theory and application to MODIS data over ocean Journal of the Atmospheric Sciences 73 (2): 821-837 [10.1175/jas-d-15-0130.1]

Varnai, T., and A. Marshak. 2015. Effect of cloud fraction on near-cloud aerosol behavior in the MODIS atmospheric correction ocean color product Rem. Sens 7 5283-5299 [10.3390/rs70505283]

Knobelspiesse, K., B. Van Diedenhoven, A. Marshak, et al. S. Dunagan, B. N. Holben, and I. Slutsker. 2015. Cloud thermodynamic phase detection with polarimetrically sensitive passive sky radiometers Atmos. Meas. Tech 8 1537-1554 [10.5194/amt-8-1537-2015]

Yang, Y., S. P. Palm, and A. Marshak. 2014. Properties and potential radiative impacts of Antarctic blowing snow Remote Sensing of the Atmosphere, Clouds, and Precipitation V [10.1117/12.2068038]

Yang, W., A. Marshak, T. Varnai, and R. Wood. 2014. CALIPSO observations of near-cloud aerosol properties as a function of cloud fraction Geophys. Res. Lett 41 9150-9157 [10.1002/2014GL061896]

Varnai, T., and A. Marshak. 2014. Near-cloud aerosol properties from the 1 km resolution MODIS ocean product J. Geophys. Res. Atmos. 119 (3): 1546-1554 [10.1002/2013JD020633]

Marshak, A., K. F. Evans, T. Varnai, and G. Wen. 2014. Extending 3D near-cloud corrections from shorter to longer wavelengths Journal of Quantitative Spectroscopy and Radiative Transfer 147 79-85 [10.1016/j.jqsrt.2014.05.022]

Yang, Y., S. P. Palm, A. Marshak, et al. D. L. Wu, H. Yu, and Q. Fu. 2014. First satellite-detected perturbations of outgoing longwave radiation associated with blowing snow events over Antarctica Geophys. Res. Lett 41 (2): 730-735 [10.1002/2013GL058932]

Wen, G., A. Marshak, L. Remer, et al. R. Levy, N. Loeb, T. Várnai, and R. F. Cahalan. 2013. Correction of MODIS aerosol retrieval for 3D radiative effects in broken cloud fields AIP Conference Proceedings 1531 (1): [10.1063/1.4804761]

Yang, Y., A. Marshak, J. Mao, A. I. Lyapustin, and J. R. Herman. 2013. A method of retrieving cloud top height and cloud geometrical thickness with oxygen A and B bands for the Deep Space Climate Observatory (DSCOVR) mission: Radiative transfer simulations Journal of Quantitative Spectroscopy and Radiative Transfer 122 141-149 [10.1016/j.jqsrt.2012.09.017]

Yang, Y., A. Marshak, A. B. Kostinski, and T. Varnai. 2013. Shape-induced gravitational sorting of Saharan dust during transatlantic voyage: Evidence from CALIOP lidar depolarization measurements Geophys. Res. Lett 40 (12): 3281-3286 [10.1002/grl.50603]

Knyazikhin, Y., M. A. Schull, Y. Yang, et al. P. Stenberg, M. Mottus, M. Rautiainen, A. Marshak, P. L. Carmona, R. Kaufmann, P. Lewis, V. Vanderbilt, A. B. Davis, F. Baret, S. Jacquemoud, A. I. Lyapustin, and R. B. Myneni. 2013. Reply to Ollinger et al.: Remote sensing of leaf nitrogen and emergent ecosystem properties Proceedings of the National Academy of Sciences 110 (27): E2438-E2438 [10.1073/pnas.1305930110]

Wen, G., A. Marshak, R. C. Levy, et al. L. A. Remer, N. Loeb, T. Varnai, and R. F. Cahalan. 2013. Improvement of MODIS aerosol retrievals near clouds J. Geophys. Res. Atmos. 118 (16): 9168-9181 [10.1002/jgrd.50617]

Yang, Y., A. Marshak, S. P. Palm, Z. Wang, and C. Schaaf. 2013. Assessment of Cloud Screening With Apparent Surface Reflectance in Support of the ICESat-2 Mission IEEE Trans. Geosci. Remote Sensing 51 (2): 1037-1045 [10.1109/TGRS.2012.2204066]

Varnai, T., A. Marshak, and W. Yang. 2013. Multi-satellite aerosol observations in the vicinity of clouds Atmos. Chem. Phys. 13 (8): 3899-3908 [10.5194/acp-13-3899-2013]

Knyazikhin, Y., P. Lewis, M. I. Disney, et al. P. Stenberg, M. Mottus, M. Rautiainen, R. Kaufmann, A. Marshak, M. Schull, P. Carmona, V. Vanderbilt, A. B. Davis, F. Baret, S. Jacquemoud, A. Lyapustin, Y. Yanga, and R. Myneni. 2013. Reply to Townsend et al.: Decoupling contributions from canopy structure and leaf optics is critical for remote sensing leaf biochemistry Proceedings of the National Academy of Sciences 110 (12): E1075-E1075 [10.1073/pnas.1301247110]

Knyazikhin, Y., M. A. Schull, P. Stenberg, et al. M. Mõttus, A. Marshak, P. L. Carmona, R. K. Kaufmann, P. Lewis, M. I. Disney, V. Vanderbilt, A. B. Davis, F. Baret, S. Jacquemoud, A. I. Lyapustin, and R. B. Myneni. 2012. Hyperspectral remote sensing of foliar nitrogen content Proceedings of the National Academy of Sciences 110 (3): E185-E192 [10.1073/pnas.1210196109]

Yang, W., A. Marshak, T. Varnai, O. V. Kalashnikova, and A. B. Kostinski. 2012. CALIPSO observations of transatlantic dust: vertical stratification and effect of clouds Atmos. Chem. Phys. 12 (23): 11339-11354 [10.5194/acp-12-11339-2012]

Yang, W., A. Marshak, T. Varnai, and Z. Liu. 2012. Effect of CALIPSO cloud–aerosol discrimination (CAD) confidence levels on observations of aerosol properties near clouds Atmospheric Research 116 134-141 [10.1016/j.atmosres.2012.03.013]

Vogelmann, A. M., G. M. McFarquhar, J. A. Ogren, et al. D. D. Turner, J. M. Comstock, G. Feingold, C. N. Long, H. Jonsson, A. Bucholtz, D. R. Collins, G. S. Diskin, H. Gerber, P. R. Lawson, R. Woods, E. Andrews, H. J. Yang, C. J. Chiu, D. Hartsock, J. M. Hubbe, C. Lo, A. Marshak, J. Monroe, S. A. McFarlane, B. Schmid, J. M. Tomlinson, and T. Toto. 2012. Racoro Extended-Term Aircraft Observations of Boundary Layer Clouds Bulletin of the American Meteorological Society 93 (6): 861-878 [10.1175/BAMS-D-11-00189.1]

Marshak, A., Y. Knyazikhin, C. Chiu, and W. Wiscombe. 2012. On spectral invariance of single scattering albedo for water droplets and ice crystals at weakly absorbing wavelengths J. Quant. Spectrosc. Radiat. Trans 113 (9): 715-720 [10.1016/j.jqsrt.2012.02.021]

Chiu, J., A. Marshak, C. Huang, et al. T. Varnai, R. Hogan, D. Giles, B. Holben, E. OConnor, Y. Knyazikhin, and W. Wiscombe. 2012. Cloud droplet size and liquid water path retrievals from zenith radiance measurements: examples from the Atmospheric Radiation Measurement Program and the Aerosol Robotic Network Atmos. Chem. Phys. 12 (21): 10313-10329 [10.5194/acp-12-10313-2012]

Varnai, T., and A. Marshak. 2012. Analysis of co-located MODIS and CALIPSO observations near clouds Atmos Meas Tech 5 (2): 389-396 [10.5194/amt-5-389-2012]

Korkin, S. V., A. I. Lyapustin, and A. Marshak. 2011. On the accuracy of double scattering approximation for atmospheric polarization computations J. Quant. Spec. Rad. Trans 113 (2): 172-181 [10.1016/j.jqsrt.2011.10.008]

Palm, S. P., Y. Yang, J. D. Spinhirne, and A. Marshak. 2011. Satellite remote sensing of blowing snow properties over Antarctica Journal of Geophysical Research 116 (D16): D16123 [10.1029/2011jd015828]

Yang, Y., A. Marshak, S. P. Palm, T. Varnai, and W. J. Wiscombe. 2011. Cloud Impact on Surface Altimetry From a Spaceborne 532-nm Micropulse Photon-Counting Lidar: System Modeling for Cloudy and Clear Atmospheres IEEE Trans. Geosci. Remote Sensing 49 (12): 4910-4919 [10.1109/TGRS.2011.2153860]

Marshak, A., Y. Knyazikhin, J. Chiu, and W. Wiscombe. 2011. Spectrally Invariant Approximation within Atmospheric Radiative Transfer J Atmos Sci 68 (12): 3094-3111 [10.1175/JAS-D-11-060.1]

Varnai, T., and A. Marshak. 2011. Global CALIPSO Observations of Aerosol Changes Near Clouds IEEE Geosci. Remote Sensing Lett. 8 (1): 19-23 [10.1109/LGRS.2010.2049982]

Abdalati, W., H. J. Zwally, R. A. Bindschadler, et al. B. Csatho, S. L. Farrell, H. Fricker, D. Harding, R. Kwok, M. Lefsky, T. Markus, A. Marshak, T. A. Neumann, S. Palm, B. Schutz, B. Smith, and C. Spinhirne. 2010. The ICESat-2 Laser Altimetry Mission Proc. IEEE 98 (5): 735-751 [10.1109/JPROC.2009.2034765]

Alexandrov, M., A. Marshak, and A. S. Ackerman. 2010. Cellular Statistical Models of Broken Cloud Fields. Part I: Theory J Atmos Sci 67 (7): 2125-2151 [10.1175/2010JAS3364.1]

Lyapustin, A., C. Gatebe, R. Kahn, et al. R. Brandt, J. Redemann, P. Russell, M. King, C. Pedersen, S. Gerland, R. Poudyal, A. Marshak, Y. Wang, C. Schaaf, D. Hall, and A. Kokhanovsky. 2010. Analysis of snow bidirectional reflectance from ARCTAS Spring-2008 Campaign Atmos. Chem. Phys. 10 (9): 4359-4375 [10.5194/acp-10-4359-2010]

Davis, A., and A. Marshak. 2010. Solar radiation transport in the cloudy atmosphere: a 3D perspective on observations and climate impacts Rep. Prog. Phys. 73 (2): 026801 [10.1088/0034-4885/73/2/026801]

Yang, Y., A. Marshak, T. Varnai, W. J. Wiscombe, and P. Yang. 2010. Uncertainties in Ice-Sheet Altimetry From a Spaceborne 1064-nm Single-Channel Lidar Due to Undetected Thin Clouds IEEE Trans. Geosci. Remote Sensing 48 (1): 250-259 [10.1109/TGRS.2009.2028335]

Chiu, J., A. Marshak, Y. Knyazikhin, and W. Wiscombe. 2010. Spectrally-invariant behavior of zenith radiance around cloud edges simulated by radiative transfer Atmos. Chem. Phys. 10 (22): 11295-11303 [10.5194/acp-10-11295-2010]

Alexandrov, M., A. Ackerman, and A. Marshak. 2010. Cellular Statistical Models of Broken Cloud Fields. Part II: Comparison with a Dynamical Model and Statistics of Diverse Ensembles J Atmos Sci 67 (7): 2152-2170 [10.1175/2010JAS3365.1]

Varnai, T., and A. Marshak. 2009. MODIS observations of enhanced clear sky reflectance near clouds Geophys. Res. Lett. 36 (6): L06807 [10.1029/2008GL037089]

Chiu, J., A. Marshak, Y. Knyazikhin, P. Pilewskie, and W. Wiscombe. 2009. Physical interpretation of the spectral radiative signature in the transition zone between cloud-free and cloudy regions Atmos. Chem. Phys. 9 (4): 1419-1430 [10.5194/acp-9-1419-2009]

Prigarin, S., and A. Marshak. 2009. A Simple Stochastic Model for Generating Broken Cloud Optical Depth and Cloud-Top Height Fields J Atmos Sci 66 (1): 92-104 [10.1175/2008JAS2699.1]

Wen, G., A. Marshak, and R. F. Cahalan. 2008. Importance of molecular Rayleigh scattering in the enhancement of clear sky radiance in the vicinity of boundary layer cumulus clouds J. Geophys. Res. 113 [10.1029/2008JD010592]

Marshak, A., G. Wen, J. Coakley, et al. L. Remer, N. Loeb, and R. F. Cahalan. 2008. A simple model for the cloud adjacency effect and the apparent bluing of aerosols near clouds J. Geophys. Res. 113 [10.1029/2007JD009196]

Evans, K., A. Marshak, and T. Varnai. 2008. The Potential for Improved Boundary Layer Cloud Optical Depth Retrievals from the Multiple Directions of MISR Journal of the Atmospheric Sciences 65 (10): 3179-3196 [10.1175/2008JAS2627.1]

Prigarin, S., and A. Marshak. 2008. Simulation of vector semibinary homogeneous random fields and modeling of broken clouds Numeric Anal Appl 1 (3): 285-292 [10.1134/S1995423908030099]

Yang, Y., A. Marshak, J. Chiu, et al. W. Wiscombe, S. Palm, A. Davis, D. Spangenberg, L. Nguyen, J. Spinhirne, and P. Minnis. 2008. Retrievals of Thick Cloud Optical Depth from the Geoscience Laser Altimeter System (GLAS) by Calibration of Solar Background Signal J. Atmos. Sci. 65 (11): 3513-3526 [10.1175/2008JAS2744.1]

Zinner, T., A. Marshak, S. Lang, J. Martins, and B. Mayer. 2008. Remote sensing of cloud sides of deep convection: towards a three-dimensional retrieval of cloud particle size profiles Atmos. Chem. Phys. 8 (16): 4741-4757 [10.5194/acp-8-4741-2008]

Chiu, J. C., A. Marshak, W. J. Wiscombe, S. Valencia, and E. J. Welton. 2007. Cloud optical depth retrievals from solar background "signal" of micropulse lidars IEEE Geo Rem Sens 4 (3): 456-460 [10.1109/LGRS.2007.896722]

Varnai, T., and A. Marshak. 2007. View angle dependence of cloud optical thicknesses retrieved by Moderate Resolution Imaging Spectroradiometer (MODIS) J. Geophys. Res. 112 (D6): D06203 [10.1029/2005JD006912]

Wen, G., A. Marshak, R. F. Cahalan, L. Remer, and R. G. Kleidman. 2007. 3D aerosol-cloud radiative interaction observed in collocated MODIS and ASTER images of cumulus cloud fields J. Geophys. Res. 112 [10.1029/2005JD006686]

Vant-Hull, B., A. Marshak, L. Remer, and Z. Li. 2007. The effects of scattering angle and cumulus cloud geometry on satellite retrievals of cloud drop effective radius Geosci Rem Sens Lett 45 (4): 1039-1045

Martins, J., A. Marshak, L. Remer, et al. D. Rosenfeld, Y. Kaufman, R. Fernandez-Borda, I. Koren, V. Zubko, and P. Artaxo. 2007. Remote sensing the vertical profile of cloud droplet effective radius thermodynamic phase and temperature Atmos Chem Phys Disc 7 4481-4519

Turner, D., A. Vogelmann, R. Austin, et al. J. Barnard, K. Cady-Pereira, J. Chiu, S. Clough, C. Flynn, M. Khaiyer, J. Liljegren, K. Johnson, B. Lin, C. Long, A. Marshak, S. Matrosov, S. McFarlane, M. Miller, Q. Min, P. Minnis, Z. Wang, and W. Wiscombe. 2007. Thin Liquid Water Clouds: Their Importance and Our Challenge Bull Amer Meteor Soc 88 177-190

Marshak, A., S. E. Platnick, T. Varnai, G. Wen, and R. F. Cahalan. 2006. Impact of three-dimensional radiative effects on satellite retrievals of cloud droplet sizes J. Geophys. Res. 111 (D9): D09207 [10.1029/2005JD006686]

Oreopoulos, L., A. Marshak, R. F. Cahalan, et al. T. Varnai, A. B. Davis, and A. Macke. 2006. New directions in the radiative transfer of cloudy atmospheres Eos Trans. AGU 87 (5): 52 [10.1029/2006EO050006]

Marshak, A., J. Martins, V. Zubko, and Y. Kaufman. 2006. What does reflection from cloud sides tell us about vertical distribution of cloud droplet sizes? Atmos Chem and Phys 6 5295-5305

Wen, G., A. Marshak, and R. Cahalan. 2006. Impact of 3D Clouds on Clear Sky Reflectance and Aerosol Retrieval in a Biomass Burning Region of Brazil IEEE Geo Rem Sens Lett 3 169-172 [10.1109/LGRS.2005.861386]

Zhuravleva, T., and A. Marshak. 2005. On the validation of the Poisson model of broken clouds Izvestiya Atmospheric and Oceanic Physics 6 783-797

Marshak, A., K. Yu, M. Larsen, and W. Wiscombe. 2005. Small-scale drop size variability: Empirical models for drop-size-dependent clustering in clouds J Atmos Sci 62 551-558

Prigarin, S., and A. Marshak. 2005. Numerical model of broken clouds adapted to observations Atmospheric and Oceanic Optics 18 236-242

Knyazikhin, Y., A. Marshak, M. Larsen, et al. W. Wiscombe, J. Martonchik, and R. Myneni. 2005. Small-scale drop size variability: Impact on estimation of cloud optical properties J Atmos Sci 62 2555-2567

Cahalan, R., L. Oreopoulos, A. Marshak, et al. K. Evans, A. Davis, R. Pincus, K. Yetzer, B. Mayer, R. Davies, T. Ackerman, H. Barker, E. Clothiaux, R. Ellingson, M. Garay, E. Kassianov, S. Kinne, O. Macke, O. Macke, O. Macke, P. Partain, S. Prigarin, A. Rublev, G. Stephens, F. Szczap, E. Takara, T. Varnai, G. Wen, and T. Zhuravleva. 2005. The International Intercomparison of 3D Radiation Codes (I3RC): Bringing together the most advanced radiative transfer tools for cloudy atmospheres Bull Amer Meteor Soc 86 (9): 1275-1293 [10.1175/BAMS-86-9-1275]

Alexandrov, M. D., A. Marshak, B. Cairns, A. A. Lacis, and B. E. Carlson. 2004. Automated cloud screening algorithm for MFRSR data Geophys Res Lett 31 (4): L04118 [10.1029/2003GL019105]

Alexandrov, M. D., A. Marshak, B. Cairns, A. A. Lacis, and B. E. Carlson. 2004. Scaling properties of aerosol optical thickness retrieved from ground-based measurements J Atmos Sci 61 1024-1039.

Marshak, A., Y. Knyazikhin, K. Evans, and W. Wiscombe. 2004. The 'RED versus NIR' plane to retrieve broken-cloud optical depth from ground-based measurements J Atmos Sci 61 1911-1925

Davis, A., and A. Marshak. 2004. Photon propagation in heterogeneous optical media with spatial correlations: Enhanced mean-free-paths and wider-than-exponential free-path distribution J Quant Spectr and Rad Trans 84 3-34

Oreopoulos, L., A. Marshak, and R. Cahalan. 2003. Consistency of ARESE II cloud absorption estimates and sampling issues J. Geophys. Res. 108 (D1): 4029 [10.1029/2002JD002243]

Marshak, A. 2003. An Introduction to Atmospheric Radiation (second edition) Book Review Bull Amer Meteor Soc 84 (6): 799-801

Knyazikhin, Y., A. Marshak, W. J. Wiscombe, J. Martonchick, and R. Myneni. 2002. A missing solution to the transport equation and its effect on estimation of cloud absorptive properties J Atmos Sci 59 (24): 3572-3585 [10.1175/1520-0469(2002)059<3572:AMSTTT>2.0.CO;2]

Varnai, T., and A. Marshak. 2002. Observations of three-dimensional radiative effects that influence satellite retrievals of cloud properties Quart Jour of Hungarian Meteor Service (Idojaras) 106 265-278

Varnai, T., and A. Marshak. 2002. Observations of three-dimensional radiative effects that influence MODIS cloud optical thickness retrievals J Atmos Sci 59 1607-1618

Davis, A., and A. Marshak. 2002. Space-time characteristics of light transmitted through dense clouds: A Green's Function Analysis J Atmos Sci 59 2713-2727

Barker, H., A. Marshak, W. Szyrmer, A. Trishchenko, and J. Blanchet. 2002. Inference of cloud optical properties from aircraft-based solar radiometric measurements J Atmos Sci 59 2093-2111

Cahalan, R. F., L. Oreopoulos, G. Wen, et al. A. Marshak, S.-C. Tsay, and T. DeFelice. 2001. Cloud characterization and clear sky correction from Landsat 7 Remote Sens Environ 78 (1-2): 83-98 [10.1016/S0034-4257(01)00251-6]

Davis, A. B., R. F. Cahalan, and A. Marshak. 2001. Green functions for multiple scattering as mathematical tools for dense cloud remote sensing: theory, with passive and active applications, in Laser Radar Technology and Applications VI

Varnai, T., and A. Marshak. 2001. Statistical analysis of the uncertainties in cloud optical depth retrievals caused by three-dimensional radiative effects J Atmos Sci 58 1540-1548

Gerber, H., J. Jensen, A. Davis, A. Marshak, and W. Wiscombe. 2001. Spectral density of cloud liquid water content at high frequencies J Atmos Sci 58 497-503

Davis, A., and A. Marshak. 2001. Multiple scattering in clouds: Insights from three-dimensional diffusion theory Nuclear Sci and Engin 137 251-280

Barker, H., and A. Marshak. 2001. Inferring optical depth of broken clouds above green vegetation using surface solar radiometric measurements J Atmos Sci 58 2989-3006

Oreopoulos, L., R. F. Cahalan, A. Marshak, and G. Wen. 2000. A new normalized difference cloud retrieval technique applied to Landsat radiances over the Oklahoma ARM Site J Appl Meteor 39 (12): 2305-2320 [10.1175/1520-0450(2000)039<2305:ANNDCR>2.0.CO;2]

Oreopoulos, L., A. Marshak, R. F. Cahalan, and G. Wen. 2000. Cloud three-dimensional effects evidenced in Landsat spatial power spectra and autocorrelation functions J Geophys Res 105 (D11): 14777-14788 [10.1029/2000JD900153]

Marshak, A., Y. Knyazikhin, A. Davis, W. J. Wiscombe, and P. Pilewskie. 2000. Cloud-vegetation interaction: Use of normalized difference cloud index for estimation of cloud optical thickness Geophys Res Lett 27 (12): 1695-1698 [10.1029/1999GL010993]

Knyazikhin, Y., and A. Marshak. 2000. Mathematical aspects of BRDF modeling: Adjoint problem and Greens function Remote Sens Rev 18 263-280

Marshak, A., W. Wiscombe, A. Davis, L. Oreopoulos, and R. Cahalan. 1999. On the Removal of the Effect of Horizontal Fluxes In Two-Aircraft Measurements of Cloud Absorption Q.J Royal Met. Soc. 125 (558): 2153-2170 [10.1002/qj.49712555811]

Marshak, A., L. Oreopoulos, A. Davis, W. Wiscombe, and R. Cahalan. 1999. Horizontal radiative fluxes in clouds and accuracy of the independent pixel approximation at absorbing wavelengths Geophys. Res. Lett. 26 (11): 1585-1588 [10.1029/1999GL900306]

Davis, A. B., A. Marshak, R. F. Cahalan, and W. J. Wiscombe. 1998. Insight into three-dimensional radiation transport from diffusion theory, application to the cloudy atmosphere, in Radiative Transfer [10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhen]

Marshak, A., A. Davis, W. J. Wiscombe, and R. F. Cahalan. 1998. Radiative effects of sub-mean-free-path liquid water variability observed in stratiform clouds J. Geophys. Res. 103 19557-19567 [10.1029/98JD01728]

Marshak, A., A. Davis, R. F. Cahalan, and W. J. Wiscombe. 1998. Nonlocal Independent Pixel Approximation, direct and inverse problems IEEE Trans. Geosci. Remote Sens. 36 [10.1109/36.655329]

Marshak, A., A. Davis, W. J. Wiscombe, W. Ridgway, and R. F. Cahalan. 1998. Biases in shortwave column absorption in the presence of fractal clouds J. Climate 11 431-446 [10.1175/1520-0442(1998)011<0431:BISCAI>2.0.CO;2]

Davis, A. B., A. Marshak, R. F. Cahalan, and W. J. Wiscombe. 1997. Evidence for net horizontal radiative fluxes in marine stratocumulus, in IRS '96: Current Problems in Atmospheric Radiation

Davis, A. B., D. Winker, A. Marshak, et al. J. Spinhirne, R. F. Cahalan, S. Love, H. Melfi, and W. J. Wiscombe. 1997. Retrieval of physical and optical cloud thicknesses from space-borne and wide-angle lidar, in Advances inn Atmospheric Remote Sensing with Lidar [10.1007/978-3-642-60612-0]

Marshak, A., A. B. Davis, R. F. Cahalan, and W. J. Wiscombe. 1997. Physical simulation of high resolution satellite images for fractal cloud models, in Fractal Frontiers

Marshak, A., A. B. Davis, R. F. Cahalan, and W. J. Wiscombe. 1997. The effect of horizontal fluxes on cloud absorption estimates based on simulated two-aircraft measurements of fractal clouds, in IRS '96: Current Problems in Atmospheric Radiation

Marshak, A., A. B. Davis, R. F. Cahalan, and W. J. Wiscombe. 1997. Nonlocal Independent Pixel Approximation for computing radiation fields of inhomogeneous clouds, in IRS '96: Current Problems in Atmospheric Radiation

Cahalan, R. F., A. B. Davis, A. Marshak, D. S. Silberstein, and W. J. Wiscombe. 1997. Cloud Macrostructure and Radiation, in Remote Sensing: A Scientific Vision for Sustainable Development [10.1109/IGARSS.1997.608888]

Marshak, A., A. Davis, W. J. Wiscombe, and R. F. Cahalan. 1997. Scale-invariance of liquid water distributions in marine stratocumulus. II. Multifractal properties and intermittency issues J. Atmos. Sci. 54 1423-1444 [10.1175/1520-0469(1997)054<1423:SIILWD>2.0.CO;2]

Marshak, A., A. Davis, W. J. Wiscombe, and R. F. Cahalan. 1997. Inhomogeneity effects on cloud shortwave absorption measurements: Two-aircraft simulations J. Geophys. Res. 102 16619-16637 [10.1029/97JD01153]

Davis, A., A. Marshak, R. F. Cahalan, and W. J. Wiscombe. 1997. The Landsat scale break in stratocumulus as a three-dimensional radiative transfer effect: Implications for cloud remote sensing J. Atmos. Res. 54 241-260 [10.1175/1520-0469(1997)054<0241:TLSBIS>2.0.CO;2]

Davis, A., A. Marshak, R. F. Cahalan, and W. J. Wiscombe. 1997. Interactions, solar and Laser beams in stratus clouds, fractals and multifractals in climate and remote sensing studies Fractals 5 129-166

Marshak, A., A. B. Davis, W. J. Wiscombe, and R. F. Cahalan. 1996. Multifractal characterizations of intermittency in nonstationary geophysical signals and fields, in Nonstationary Random Processes and Their Applications

Davis, A., A. Marshak, W. J. Wiscombe, and R. F. Cahalan. 1996. Scale-invariance of liquid water distributions in marine stratocumulus. I. Spectral properties and stationarity issues J. Atmos. Sci. 53 1538-1558 [10.1175/1520-0469(1996)053<1538:SIOLWD>2.0.CO;2]

Marshak, A., A. Davis, W. J. Wiscombe, and R. F. Cahalan. 1995. Radiative smoothing in fractal clouds J. Geophys. Res. 100 26247-26261 [10.1029/95JD02895]

Myneni, R. B., F. G. Hall, P. J. Sellers, and A. Marshak. 1995. The interpretation of spectral vegetation indexes IEEE Trans. Geosci. Remote Sensing 33 (2): 481-486 [10.1109/36.377948]

Marshak, A., A. Davis, W. J. Wiscombe, and R. F. Cahalan. 1994. Bounded Cascade Models as non-stationary multifractals Phys. Rev. E49 55-69 [10.1103/PhysRevE.49.55]

Davis, A., A. Marshak, W. J. Wiscombe, and R. F. Cahalan. 1994. Multifractal characterizations of non-stationarity and intermittency in geophysical fields: Observed, retrieved, or simulated J. Geophys. Res. 99 8055-8072 [10.1029/94JD00219]

Marshak, A., A. Davis, R. F. Cahalan, and W. J. Wiscombe. 1993. Multi-singular and multi-affine properties of Bounded Cascade Models Fractals 3 702-710

Antyufeev, V. S., and A. Marshak. 1989. Monte Carlo method application to solution of the radiative transfer equation for a plane layer of vegetation Soviet J. of Atmos. Opt. (Russian) 1206-1212

Marshak, A. 1989. On the connection between the First Point of Quadrature Formulae and the convergence rate of the Discrete Ordinates Method USSR Comput. Maths. Math. Phys. (Russian translated into English 29 5 1-8 1991) 1267-1276

Ross, J. K., and A. L. Marshak. 1989. Estimation of the influence of leaf orientation and the specular component on the vegetation phase function Soviet J. of Atmos. Opt.(Russian) 76-85

Ross, J. K., and A. Marshak. 1989. The influence of leaf orientation and the specular component of leaf reflectance on the canopy bidirectional reflectance Remote Sens. Environ. 251-260

Marshak, A. 1989. Effect of the hot spot on the Transport Equation in plant canopies J. Quant. Spectr. and Rad. Trans. 42 (6): 615-630 [10.1016/0022-4073(89)90055-1]

Ross, J. K., and A. Marshak. 1988. Calculation of canopy bidirectional reflectance using the Monte Carlo method Remote Sens. Environ. 24 (3): 213-225 [10.1016/0034-4257(88)90026-0]

Marshak, A. 1987. On the restitution of the optical parameters of the canopy using the data of spectral brightness coefficient by the Monte Carlo method Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 289-293

Marshak, A. 1987. A remark on the approximation of the exponential integrals Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 55-57

Ross, J. K., and A. L. Marshak. 1987. Estimation of the influence of the canopy architecture parameters on the bidirectional reflectance by means of the Monte Carlo method Soviet J. of Remote Sens. (Russian translated into English) 86-93

Ross, J., and A. L. Marshak. 1987. Monte Carlo determination of spectral radiance of the vegetation cover as a function of illumination conditions Soviet J. of Remote Sens. (Russian translated into English 7 4 726-739 1990) 96-105

Marshak, A. L. 1986. One estimate of the accuracy of the approximation the exponential integral by the quadrature rules Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 249-257

Marshak, A. L. 1986. A remark on the Clenshaw-Curtis quadrature rule Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 338-340

Marshak, A. L. 1986. The nonstandard form of the error for quadrature rules with strongly nonuniform position of quadrature points Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 390-399

Marshak, A. L. 1985. On the solution of the Transport Equation with periodic boundary conditions by the Method of Discrete Ordinates Transport Theory Statis. Phys. 323-351

Ross, J. K., and A. L. Marshak. 1984. Calculation of the solar radiation reflection function from plant cover using Monte Carlo method Soviet J. of Remote Sens. (Russian translated into English 7 2 346-360 1990) 58-67

Marshak, A. L. 1982. On the approximation of the exponential integral by quadrature formulae USSR Comput. Maths. Math. Phys. (Russian translated into English) 1044-1051

Marshak, A. L. 1981. On the solution of the Transport Equation in a heterogeneous medium by the Discrete Ordinates Method Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 190-201

Marshak, A. L. 1981. On the solution of the Transport Equation in spherical geometry by the Discrete Ordinates Method Trans. of Estonian Academy of Sci. Phys.-Math. (Russian) 364-375

Marshak, A. L. 1979. On the rate of convergence of the Discrete Ordinates Method in case of Gauss Quadrature Rule Trans. of Tartu Univ. (Russian) 92-104

Vainikko, G. M., and A. Marshak. 1978. On the convergence rate of the Method of Discrete Ordinates in the radiation transport theory Izv. VUZov Math. (Russian) 11-21