Bellman, R.; Vasudevan, R.; Ueno, S. Invariant imbedding and radiation dosimetry. X: Intensity of finite order scattered gamma radiation emergent from a target slab with internal sources. (English) Zbl 0298.92004 Math. Biosci. 23, 1-9 (1975). MSC: 92B05 45K05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 23, 1--9 (1975; Zbl 0298.92004) Full Text: DOI
Bellman, R.; Fymat, A. L.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. IX: Inverse problem of determining a plane source in a finite isotropically scattering target slab. (English) Zbl 0291.92009 Math. Biosci. 20, 315-325 (1974). MSC: 92B05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 20, 315--325 (1974; Zbl 0291.92009) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. VIII: Reflection function from a double layer - finite order functions. (English) Zbl 0291.92008 Math. Biosci. 20, 299-314 (1974). MSC: 92B05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 20, 299--314 (1974; Zbl 0291.92008) Full Text: DOI
Bellman, R.; Ueno, S. Invariant imbedding and the resolvent of Fredholm integral equations with variable parameters. (English) Zbl 0273.45002 J. Math. Phys. 15, 17-19 (1974). MSC: 45B05 PDFBibTeX XMLCite \textit{R. Bellman} and \textit{S. Ueno}, J. Math. Phys. 15, 17--19 (1974; Zbl 0273.45002) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. VII: Finite order scattering and transmission functions of the two radiation approximations in a target slab. (English) Zbl 0274.92003 Math. Biosci. 18, 255-268 (1973). MSC: 92B05 45J05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 18, 255--268 (1973; Zbl 0274.92003) Full Text: DOI
Ueno, S.; Vasudevan, R.; Bellman, R. Invariant imbedding and radiation dosimetry. VI: Absorbed dose of X and gamma rays in a target slab. (English) Zbl 0274.92002 Math. Biosci. 18, 67-75 (1973). MSC: 92B05 45J05 PDFBibTeX XMLCite \textit{S. Ueno} et al., Math. Biosci. 18, 67--75 (1973; Zbl 0274.92002) Full Text: DOI
Ueno, S.; Vasudevan, R.; Bellman, R. Invariant imbedding and radiation dosimetry. V: Finite order intensity of radiation in a target slab. (English) Zbl 0274.92001 Math. Biosci. 18, 55-66 (1973). MSC: 92B05 45J05 PDFBibTeX XMLCite \textit{S. Ueno} et al., Math. Biosci. 18, 55--66 (1973; Zbl 0274.92001) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. IV: Finite order scattering of gamma radiation by a target slab. (English) Zbl 0272.92004 Math. Biosci. 17, 89-104 (1973). MSC: 92B05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 17, 89--104 (1973; Zbl 0272.92004) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. On the matrix Riccati equation of transport processes. (English) Zbl 0271.34026 J. Math. Anal. Appl. 44, 472-481 (1973). MSC: 34A25 34A45 PDFBibTeX XMLCite \textit{R. Bellman} et al., J. Math. Anal. Appl. 44, 472--481 (1973; Zbl 0271.34026) Full Text: DOI
Bellman, R.; Ueno, S. Invariant imbedding and the resolvent of Fredholm integral equations with semi-degenerate kernels. (English) Zbl 0267.45004 J. Math. Anal. Appl. 44, 264-273 (1973). MSC: 45B05 34A12 65R20 PDFBibTeX XMLCite \textit{R. Bellman} and \textit{S. Ueno}, J. Math. Anal. Appl. 44, 264--273 (1973; Zbl 0267.45004) Full Text: DOI
Bellman, Richard; Ueno, Sueo Invariant imbedding and the resolvent of Fredholm integral equation with composite symmetric kernel. (English) Zbl 0267.45003 J. Math. Phys. 14, 1489-1490 (1973). MSC: 45B05 34A12 PDFBibTeX XMLCite \textit{R. Bellman} and \textit{S. Ueno}, J. Math. Phys. 14, 1489--1490 (1973; Zbl 0267.45003) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry: Finite order scattering and transmission function. (English) Zbl 0286.92004 Math. Biosci. 14, 235-254 (1972). MSC: 92B05 45J05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 14, 235--254 (1972; Zbl 0286.92004) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. III: Integral recurrence relations for finite order X and Y functions. (English) Zbl 0246.92005 Math. Biosci. 15, 195-203 (1972). MSC: 92D25 45K05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 15, 195--203 (1972; Zbl 0246.92005) Full Text: DOI
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. II: Integral recurrence relations for the finite order scattering and transmission functions. (English) Zbl 0245.92006 Math. Biosci. 15, 153-162 (1972). MSC: 92B05 45K05 PDFBibTeX XMLCite \textit{R. Bellman} et al., Math. Biosci. 15, 153--162 (1972; Zbl 0245.92006) Full Text: DOI
Bellman, R.; Kagiwada, H.; Kalaba, R.; Ueno, S. Numerical results for the estimation of source distributions from external radiation-field measurements. (English) Zbl 0166.13101 J. Comput. Phys. 1, 457-470 (1967). PDFBibTeX XMLCite \textit{R. Bellman} et al., J. Comput. Phys. 1, 457--470 (1967; Zbl 0166.13101) Full Text: DOI
Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E.; Ueno, S. Inverse problems in radiative transfer: layered media. (English) Zbl 0135.23705 Icarus 4, No. 2, 119-126 (1965). Reviewer: H. Holweger MSC: 85A25 34A34 PDFBibTeX XML Full Text: DOI
Aroesty, J.; Bellman, R.; Kalaba, R.; Ueno, S. Invariant imbedding and rarefied gas dynamics. (English) Zbl 0226.76030 Proc. Natl. Acad. Sci. USA 50, 222-226 (1963). MSC: 76P05 PDFBibTeX XMLCite \textit{J. Aroesty} et al., Proc. Natl. Acad. Sci. USA 50, 222--226 (1963; Zbl 0226.76030) Full Text: DOI
Bellman, Richard; Kalaba, Robert; Ueno, Sueo On the diffuse reflection of parallel rays by an inhomogeneous flat layer as a limiting process. (English) Zbl 0123.36301 J. Math. Anal. Appl. 7, 91-99 (1963); erratum ibid. 8, 350 (1964). PDFBibTeX XMLCite \textit{R. Bellman} et al., J. Math. Anal. Appl. 7, 91--99 (1963; Zbl 0123.36301) Full Text: DOI
Bellman, R.; Kalaba, R.; Ueno, S. Invariant imbedding and diffuse reflection from a two-dimensional flat layer. (English) Zbl 0117.45405 Icarus 1, 297-303 (1963). PDFBibTeX XML
Bellman, R.; Kalaba, R.; Ueno, S. Invariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer. I. (English) Zbl 0116.20803 J. Math. Anal. Appl. 7, 310-321 (1963). PDFBibTeX XMLCite \textit{R. Bellman} et al., J. Math. Anal. Appl. 7, 310--321 (1963; Zbl 0116.20803) Full Text: DOI
Bellman, R.; Kalaba, R.; Ueno, S. Invariant imbedding and time-dependent diffuse reflection by a finite inhomogeneous atmosphere. (English) Zbl 0114.22603 Icarus 1, 191-199 (1962). PDFBibTeX XML