Data processing: measuring – calibrating – or testing – Measurement system in a specific environment – Chemical analysis
Reexamination Certificate
2007-03-27
2007-03-27
Shah, Kamini (Department: 2128)
Data processing: measuring, calibrating, or testing
Measurement system in a specific environment
Chemical analysis
C703S012000, C378S013000, C378S016000, C378S018000, C378S086000, C250S363010, C250S363020, C250S363040, C250S370070, C600S310000, C600S407000, C600S473000, C600S474000, C600S001000, C600S002000, C600S477000, C600S478000
Reexamination Certificate
active
10790404
ABSTRACT:
The present system and method for simulating particles and waves is useful for calculations involving nuclear and full spectrum radiation transport, quantum particle transport, plasma transport and charged particle transport. The invention provides a mechanism for creating accurate invariants for embedding in general three-dimensional problems and describes means by which a series of simple single collision interaction finite elements can be extended to formulate a complex multi-collision finite element.
REFERENCES:
patent: 6029079 (2000-02-01), Cox et al.
patent: 6148272 (2000-11-01), Bergstrom et al.
patent: 6175761 (2001-01-01), Frandsen et al.
patent: 6301329 (2001-10-01), Surridge
patent: 6335792 (2002-01-01), Tsuchiya
patent: 6714620 (2004-03-01), Caflisch et al.
patent: 2003/0144432 (2003-07-01), Llinas et al.
patent: 2003/0204126 (2003-10-01), Rivard
Scott et al. “Invariant Imbedding and the Calculation of Eigenvalues for Sturm-Liouville Systems” Computing, 1969, pp. 10-23.
Bellman et al. “Random Walk, Scattering, and Invariant Imbedding I. One-Dimensional Discrete Case” Oct. 15, 1957 Proceedings of the National Academy of Sciences of the United States of America, vol. 43, No. 10, pp. 930-933.
Bellman et al. “Dissipation Functions and Invariant Imbedding” Aug. 15, 1960, Proceedings of the National Academy of Sciences of the United States of America, vol. 46, No. 8, pp. 1145-1147.
Bellman et al. “Invariant Imbedding and the Reduction of Two-Point Boundary Value Problems to Initial Value Problems” Oct. 25, 1960, pp. 1646-1649.
E. Cashwell & C. Everett, The Practical Manual on the Monte Carlo Method for Random Walk Problems, Pergamon Press (1959). (out of print).
Analytic Reductions for Transmission and Leakage Probabilities in Finite Tubes and Hexahedra, 104 Nucl. Sci. & Eng., 209-216 (1990).
A Transport Method for Treating Three Dimensional Lattices of Heterogeneous Cells, 101 Nucl. Sci. & Eng., 217-225 (1989).
J. Karkkainen & E. Ukkonen, Two- and Higher-Dimensional Pattern Matching in Optimal Expected Time, 29 SIAM J. Comput., 571-589 (1999).
R. Belman, G.M. Wing, An Introduction to Invariant Imbedding, R. Belman, SIAM (1992) ISBN 0-89871-304-8.
A. Shimizu, Development of Angular Elgenvalue Method for Radiation Transport Problems, 37 J. Nuclear Science and Technology, 15-25 (2000).
Olvey et al., Accuracy Comparisons for Variational R, T and T-1 Response Matrix Formulations, 14 Annals of Nuclear Energy, 203-209 (1987).
Sternick et al., The Theory & Practice of Intensity Modulated Radiation Therapy, Advanced Medical Publishing, 37-49 (1997).
Y. Nievergelt, Wavelets Made Easy, Birkhauser (1999) ISBN 0-8176-4061.
P.R. Bevington, Data Reduction and Error Analysis for the Physical Sciences, p. 153, McGraw Hill Book Company, (1969) Library of Congress Catalogue No. 69-16942.
R.D. Lawrence and J.J. Dorning, A Nodal Green's Function Method for Multidimensional Diffusion Calculations, Nuclear Science and Engineering 76, 218-231 (1980).
F.C. Lockwood and N.G. Shah, A New Radiation Solution Method for Incorporation in General Combustion Prediction Procedures, Imperial College of Science and Technology, London, 1981.
K. Kobayashi, et al. 3D Radiation Transport Benchmark Problems and Results for Simple Geometries with Void Region. Progress in Nuclear Engineering, vol. 39, No. 2, pp. 119-144, 2001.
Lo Suzanne
McQuaide, Blasko, Fleming & Faulkner, Inc.
Shah Kamini
LandOfFree
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