REFERENCES
- J. A. FLECK and J. D. CUMMINGS, “An Implicit Monte Carlo Scheme for Calculating Time and Frequency Dependent Nonlinear Radiation Transport,” J. Comput. Phys., 8, 313 (1971).
- N. GENTILE, “A Comparison of Various Temporal Discretization Schemes for Infinite Media Radiation Transport,” Trans. Am. Nucl. Soc., 97, 544 (2007).
- E. W. LARSEN and B. MERCIER, “Analysis of a Monte Carlo Method for Nonlinear Radiative Transfer,” J. Comput. Phys., 71, 50 (1987).
- E. ANDREEV, M. Y. KOZMANOV, and E. RACHILOV, “The Maximum Principle for a System of Equations of Energy and Non-Stationary Radiation Transport,” Zh. vych. Mat. imat. Fiz, 23, 152 (1983).
- S. W. MOSHER and J. D. DENSMORE, “Stability and Monotonicity Conditions for Linear, Grey, 0-D Implicit Monte Carlo Calculations,” Trans. Am. Nucl. Soc., 93, 520 (2005).
- A. B. WOLLABER and E. W. LARSEN, “A Linear Stability Analysis for Nonlinear, 1-D, Gray Implicit Monte Carlo Calculations,” Proc. Int. Conf. Mathematics, Computational Methods & Reactor Physics (M&C2009), Saratoga Springs, New York, May 3–7, 2009, American Nuclear Society (2009) (CD-ROM).
- A. B. WOLLABER and E. W. LARSEN, “A Linear Stability Analysis for Nonlinear, Grey, Thermal Radiative Trans-fer Problems,” J. Comput. Phys., 230, 1528 (2011).
- A. WOLLABER, “Advanced Monte Carlo Methods for Thermal Radiation Transport,” PhD Thesis, The University of Michigan (2008).
- K. M. CASE and P. F. ZWEIFEL, Linear Transport Theory, Addison-Wesley, Reading, Massachusetts (1967).
- Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, M. ABRAMOWITZ and I. A. STEGUN, Eds., Dover Publications, Inc., New York (1972).
- T. J. URBATSCH and T. M. EVANS, “Milagro Version 2, An Implicit Monte Carlo Code for Thermal Radiative Transfer: Capabilities, Development, and Usage,” LA-14195-MS, Los Alamos National Laboratory (2005).
- P. W. TALBOT, A. B. WOLLABER, and T. S. PALMER, “Implementing a Discrete Maximum Principle for the IMC Equations,” Trans. Am. Nucl. Soc., 106, 410 (2012).
- R. G. McCLARREN and T. J. URBATSCH, “A Modified Implicit Monte Carlo Method for Time-Dependent Radiative Transfer With Adaptive Material Coupling,” J. Comput. Phys., 228, 5669 (2009).