Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, "*Inverse Heat Conduction*", Wiley, New York.

Özisik, M. N., and Orlande, H. R. B., 2000, "*Inverse Heat Transfer Fundamentals and Applications*", Taylor & Francis, New York.

Osman, A. M., and Beck, J. V., 1990, “Investigation of Transient Heat Transfer Coefficients in Quenching Experiments,” ASME J. Heat Transfer, 112 , pp. 843–848.

[CrossRef]Beck, J. V., Blackwell, B., and Haji-Sheikh, A., 1996, “Comparison of Some Inverse Heat Conduction Methods Using Experimental Data,” Int. J. Heat Mass Transfer, 39 (17), pp. 3649–3657.

[CrossRef]Osman, A. M., Dowding, K. J., and Beck, J. V., 1997, “Numerical Solution of the General Two-Dimensional Inverse Heat Conduction Problem (IHCP),” ASME J. Heat Transfer, 119 , pp. 38–45.

[CrossRef]Dowding, K. J., and Beck, J. V., 1999, “A Sequential Gradient Method for the Inverse Heat Conduction Problem (IHCP),” ASME J. Heat Transfer, 121 , pp. 300–306.

[CrossRef]Louahlia-Gualous, H., Panday, P. K., and Artioukhine, E. A., 2003, “Inverse Determination of the Local Heat Transfer Coefficients for Nucleate Boiling on a Horizontal Cylinder,” ASME J. Heat Transfer, 125 , pp. 1087–1095.

[CrossRef]Lagier, G. L., Lemonnier, H., and Coutris, N., 2004, “A Numerical Solution of the Linear Multidimensional Unsteady Inverse Heat Conduction Problem With the Boundary Element,” Int. J. Therm. Sci., 43 , pp. 145–155.

[CrossRef]Behbahani-nia, A., and Kowsary, F., 2004, “A Dual Reciprocity BE-Based Sequential Function Specification Solution Method for Inverse Heat Conduction Problems,” Int. J. Heat Mass Transfer, 47 , pp. 1247–1255.

[CrossRef]Kowsary, F., Behbahani-nia, A., and Pourshaghaghy, A., 2006, “Transient Heat Flux Function Estimation Utilizing the Variable Metric Method,” Int. Commun. Heat Mass Transfer, 33 , pp. 800–810.

[CrossRef]Huang, C. H., and Lin, C. Y., 2008, “Inverse Hyperbolic Conduction Problem in Estimating Two Unknown Surface Heat Fluxes Simultaneously,” J. Thermophys. Heat Transfer, 22 (4), pp. 766–774.

[CrossRef]Hakkaki-Fard, A., Molavi, H., and Rahmani, R. K., 2009, “A Novel Method for Combined Parameter and Function Estimation Problems,” "*Proceedings of the 2009 ASME Summer Heat Transfer Conference*", San Francisco, CA, July 19–23.

Beck, J. V., and Osman, A. M., 1989, “Nonlinear Inverse Problem for the Estimation of Time-and-Space Dependent Heat Transfer Coefficients,” J. Thermophys. Heat Transfer, 3 (2), pp. 146–152.

[CrossRef]Yang, C. Y., 2003, “Estimation of Boundary Conditions in Nonlinear Inverse Heat Conduction Problems,” J. Thermophys. Heat Transfer, 17 (3), pp. 389–395.

[CrossRef]Loulou, T., and Scott, E. P., 2003, “Estimation of 3-Dimensional Heat Flux From Surface Temperature Measurements Using an Iterative Regularization Method,” Heat Mass Transfer, 39 , pp. 435–443.

Daouas, N., and Radhouani, M. S., 2004, “A New Approach of the Kalman Filter Using Future Temperature Measurements for Nonlinear Inverse Heat Conduction Problems,” Numer. Heat Transfer, Part B, 45 , pp. 565–585.

[CrossRef]Girault, M., and Petit, D., 2005, “Identification Methods in Nonlinear Heat Conduction. Part II: Inverse Problem Using a Reduced Model,” Int. J. Heat Mass Transfer, 48 , pp. 119–133.

[CrossRef]Chen, H. T., and Wu, X. Y., 2007, “Estimation of Surface Conditions for Nonlinear Inverse Heat Conduction Problems Using the Hybrid Inverse Scheme,” Numer. Heat Transfer, Part B, 51 , pp. 159–178.

[CrossRef]Molavi, H., Hakkaki-Fard, A., Pourshaban, I., Mahbubi Fard, M., and Rahmani, R. K., 2009, “Estimation of Temperature-Dependent Thermophysical Properties of Noncharring Ablator,” J. Thermophys. Heat Transfer, 23 (1), pp. 50–58.

[CrossRef]Molavi, H., Pourshaban, I., Hakkaki-Fard, A., Molavi, M., Ayasoufi, A., and Rahmani, R. K., 2009, “Inverse Identification of Thermal Properties of Charring Ablators,” Numer. Heat Transfer, Part B, 56 , pp. 478–501.

[CrossRef]de Oliveira, A. P., and Orlande, H. R. B., 2004, “Estimation of the Heat Flux at the Surface of Ablating Materials by Using Temperature and Surface Position Measurements,” Inverse Probl. Sci. Eng., 12 (5), pp. 563–577.

[CrossRef]Hakkaki-Fard, A., and Kowsary, F., 2008, “Heat Flux Estimation in a Charring Ablator,” Numer. Heat Transfer, Part A, 53 (5), pp. 543–560.

[CrossRef]Petrushevsky, V., and Cohen, S., 1999, “Nonlinear Inverse Heat Conduction With a Moving Boundary: Heat Flux and Surface Recession Estimation,” ASME J. Heat Transfer, 121 , pp. 708–711.

[CrossRef]Dec, J., and Braun, R., 2006, “An Approximate Ablative Thermal Protection System Sizing Tool for Entry System Design,” "*Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit*", Reno, NV, Jan. 9–12.

Russell, G. W., 2002, “Analytic Modeling and Experimental Validation of Intumescent Behavior of Charring Heatshield Materials,” Ph.D. thesis, Mechanical Engineering Department, University of Alabama in Huntsville, AL.

Amar, A. J., Blackwell, B. F., and Edwards, J. R., 2008, “One-Dimensional Ablation Using a Full Newton’s Method and Finite Control Volume Procedure,” J. Thermophys. Heat Transfer, 22 (1), pp. 71–82.

[CrossRef]Noffz, G. K., and Bowman, M. P., 1996, “Design and Laboratory Validation of a Capacitive Sensor for Measuring the Recession of a Thin-Layered Ablator,” NASA Technical Memorandum No. 4777.

Landau, H. G., 1950, “Heat Conduction in a Melting Solid,” Q. Appl. Math., 8 , pp. 81–94.

Patankar, S. V., 1986, "*Numerical Heat Transfer and Fluid Flows*", Hemisphere, London.

Glynn, P., and Robinson, S. M., 1999, "*Numerical Optimization*", Springer-Verlag, New York.

Alifanov, O. M., 1994, "*Inverse Heat Transfer Problems*", Springer-Verlag, New York.

Potts, R. L., 1995, “Application of Integral Methods to Ablation Charring Erosion, A Review,” J. Spacecr. Rockets, 32 (2), pp. 200–209.

[CrossRef]Pourshaghaghy, A., Kowsary, F., and Behbahaninia, A., 2007, “Comparison of Four Different Versions of the Variable Metric Method for Solving Inverse Heat Conduction Problems,” Heat Mass Transfer, 43 , pp. 285–294.

[CrossRef]