B. Inverse and Data Analysis Problems
(l) Craig, I.J.D. and Brown, J.C.: 1976, Astron. Astrophys. 49, 239-250, "Fundamental Limitations of X-Ray Spectra as Diagnostics of Plasma Temperature Structure".
(2) Craig, I.J.D. and Brown, J.C.: 1976, Nature, 264, No.5584, 340-342, "Why Measure Astrophysical X-Ray Spectra?".
(3) Brown, J.C.: 1978, Astrophys.J. 225, l076, "Analysis of Bremsstrahlung Source Spectra in terms of Integral Moments".
(4) Craig, I.J.D. and Brown, J.C.: 1980, Astrophys. Sp. Sci., 70, 425-432, "Inference of Relativistic Electron Spectra from Measurements of Inverse Compton Radiation".
(5) Brown, J.C., Craig, I.J.D. and Melrose, D.B.: 1983, Astrophys. Sp. Sci. 92, 105-112, "Inversion of Synchrotron Spectra".
(6) Craig, I.J.D., McClements, K., Thompson, A.M. and Brown, J.C.: l985, Astron. Astrophys. 149, 171-178, "The Numerical Inversion of Synchrotron Spectra and the Crab Nebula as a Synchrotron Source".
(7) Thompson, A.M., Brown, J.C., Kay, J. and Titterington, D.M.: l991, Trans.IEEE 13, 326-339, "Comparison of Image Restoration Algorithms".
(8) Brown J.C.: 1992, in M. Bertero and E.R. Pike NATO ARW Inverse Problems in Scattering and Imaging pp.95-108, "Astronomy - the Ultimate Inverse Problem".
(9) Thompson A.M., Brown J.C., Craig, I.J.D. and Fülber, C.: l992, Astron. Astrophys. 265, 278-288, "Inference of Nonthermal Electron Energy Distributions from Hard X-Ray Spectra".
(10) Calvini, P., Bertero, M. & Brown J.C.: 1995, Inverse Problems 11, 79-96, "Joint Spectral and Polarimetric Analysis of Hot Star Wind Transients"
(11) Piana, M., Brown, J.C, and Thompson A.M..: l995, Solar Phys. 156, 315-335, "Thermal Bremsstrahlung Hard X-Rays and Primary Energy Release in Flares".
(12) Brown, J.C.: l995, (invited review) Inverse Prob.,11, 783-794 "Inverse Problems in Astrophysical Spectrometry".
(13) Brown, J.C.: 1995, Inverse Prob.11, 635-638, "Overview of Topical Issue on Inverse Problems in Astronomy".
(14) Piana M., Brown J. C. and Calvini P.: 1995, Inverse Problems 11, 961-973 "Joint spectral and polarimetric analysis of accelerated hot star wind Transients"
(15) Calvini P., Bertero M. and Brown J .C.: 1996, Astron. Astrophys. 309, 235- 244. "Optimal inference of episodic stellar mass loss rates from real polarimetric and absorption datawith noise and sparse sampling"
(16) Judge P., Hubeny V., and Brown J.C. :1996, Astrophys. J. 314, 514-520 “Fundamental Limitations of X-Ray Spectra as Diagnostics of Plasma Density and Temperature Structure”
(17) McIntosh, S.W., Brown J.C. and Judge P.W. 1997, Astron. Astrophys. 333, 333-337 - "The Relationship of Differential Emission Measure to Spectroscopic Line Ratios"
(18) Piana M. and Brown J.C. : 1998, J. Comp. & App. Maths 93, 75-88 "Analytic and Regularised Solutions of the Synchrotron Integral Equation"
(19) Piana M. and Brown J.C. : 1998, Astron. Astrophys. Suppl. 132 , 291-299. Optimal Inverion of Hard X-Ray Bremsstrahlung Spectra : I - SVD Analysis
(20) McIntosh, S.W., Diver D.A. Judge P.W., Charbonneau P., Ireland D., and Brown J.C.: 1998, Astron. Astrophys. Supp. 132, 145-153 "Spectral Decomposition by Genetic Algorithm Forward Modelling"
(21) Brown J.C., McArthur G., Barrett R.K., McIntosh S.W. and EmslieA.G.: 1998, Solar Phys. 179, 379-404. “Inversion of Thick Target Bremmstrahlung Spectra from Nonuniformly Ionised Plasmas "
(22) Piana M. , Barrett R.K., Brown J.C., and McIntosh S.W. : 2000, Inverse Problems 15, 1469-1480. A Non-Uniqueness Problem in Solar Hard X-Ray Spectroscopy.
(23) McIntosh, S.W., Charbonneau P., and Brown J.C. : 2000, Ap. J. 529, 1115-1130. Preconditioning the Differential Emission Measure (Te) Inverse Problem
(24)Brown J.C., Ignace R. and Piana M. :1999, IAU Coll. 169 , 111 Inverse Spectropolarimetric Modelling of Hot Star Wind Structure and Variability - in Variable and Non-Spherical Stellar Winds in Luminous Stars B.Wolf, O.Stahl, and A.Fullerton (eds.)