Jerome spanier education




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JEROME SPANIER




Education

University of Minnesota, Minneapolis, Minn., Mathematics - Magna Cum Laude, B.A., 1951

University of Chicago, Chicago, Ill., Mathematics, M.S., 1952

University of Chicago, Chicago, Ill., Mathematics, Ph.D., 1955



Professional Experience

2000 –


Researcher, University of California, Irvine.

1998 –


Senior Fellow and Director, Claremont Research Institute of Applied Mathematical Sciences

and Professor of Mathematics, Emeritus, Claremont Graduate University, Claremont, California.

1997 – 2000

Visiting Researcher, University of California, Irvine.

1971 - 1998

Professor of Mathematics, (1971-91); Joseph H. Pengilly Professor of Mathematics (1991-98); Co-

Director, Mathematics Clinic, (1974-80); Director, CGS Mathematics Clinic (1980-81 and 1991-92),

The Claremont Graduate School, Claremont, California

1987-90

Vice President for Academic Affairs and Dean of the Graduate School, The Claremont Graduate

School, Claremont, California.

1985-87


Vice President for Academic Affairs and Dean of Faculty, The Claremont Graduate

School, Claremont, California.

1982-85

Dean of Faculty, The Claremont Graduate School, Claremont, California.

1980

Fulbright Senior Research Scholar, Massey University, Palmerston North, New Zealand



1981

Visiting Professor, Royal Institute of Technology (Stockholm) and Swiss Federal Institute of

Technology (Zurich)

1978


Visiting Professor, Clemson University and Oxford University

1970-71


Group Leader of Mathematics Group, North American Rockwell Science Center, Thousand Oaks,

California

1967-70

Member of Technical Staff, North American Rockwell Science Center, Thousand Oaks,

California

1966-67


Advisory Mathematician, Bettis Atomic Power Laboratory, Westinghouse Electric Corp., West

Mifflin, Pennsylvania.

1959-66

Fellow Mathematician, Bettis Atomic Power Laboratory, West Mifflin, Pennsylvania.

1955-59

Senior Mathematician, Bettis Atomic Power Laboratory, West Mifflin, Pennsylvania.


1957

Lecturer, University of Pittsburgh, Pittsburgh, Pennsylvania.



Honors and Awards


University Fellowship, University of Chicago, 1951-52

National Science Foundation Predoctoral Fellowships, University of Chicago, 1952-55

Westinghouse Distinguished Service Award, 1963

U.S. Energy Research and Development Administration Research Grant, 1976-80

National Science Foundation; Alternatives in Higher Education Grant, Project Director, 1976-80

National Science Foundation; Research Initiation and Support Grant, Project Director, 1977-80

President's Medal, The Claremont Graduate School, 1990

Fulbright Grant, New Zealand (1990)

National Science Foundation, Interdisciplinary Grants in the Mathematical Sciences, 2000-1

Professional Affiliations


Phi Beta Kappa

Sigma Xi

American Mathematical Society

Society for Industrial and Applied Mathematics

American Association for the Advancement of Science

American Mathematical Association

American Association of University Professors

International Association for Mathematical Modelling

Publications


1. Spanier, J. “A Unified Approach to Monte Carlo Methods and Applications to a Multigroup Calculation

of Absorption Rates,” SIAM Review, 4, pp. 115-134, (1962).

2. Spanier, J. and W. H. Guilinger. “Matrix Conditioning for Alternating Direction Methods,” Bettis

Technical Review, 29, pp. 69-79, (1963).

3. Gelbard, E.M. and J. Spanier, J. “Use of Superposition in Monte Carlo Resonance Escape

Calculations,” Trans. ANS, 7, 2, p. 259, (1964).

4. Spanier, J., and G. J. Habetler. "Applications of Monte Carlo Methods to Neutron Thermalization,” Naval Reactors Physics Handbook, Vol I, pp. 379-448. A. Radkowsky, Ed., U.S. Government Printing Office, 1964.

5. Spanier, J. “The Mathematics of Monte Carlo for Reactor Calculation,” Naval Reactors Physics Handbook, Vol. I, pp. 1441-1461. A. Radkowsky, Ed., U.S. Government Printing Office, 1964.

6. Spanier, J. and R.B. Kellogg. “On Optimal Alternating Direction Parameters for Singular Matrices”, Math of Comp., 19, pp. 448-452, (1965).

7. Gelbard , E.M., J. Spanier and B. Anderson. “A Refinement in the Application of the Superposition

Principle to Monte Carlo Resonance Escape Calculation,” Trans. ANS, 9, 2, p. 502, 1966.

8. Spanier, J., E. M. Gelbard and L.A. Ondis II. “A New Class of Monte Carlo Estimators”, J. SIAM Appl. Math., 14, pp. 697-701, (1966).

9. Spanier, J. “Two Pairs of Families of Estimators for Transport Problems,” J. SIAM Appl. Math., 14, pp. 702-713, (1966).

10. Spanier, J. “Some Results on Transport Theory and Their Application to Monte Carlo Methods,” J. Math. Anal. and Appl., 17, pp. 549-559, (1967).

11. Spanier, J. "Alternating Direction Methods Applied to Heat Conduction Problems", Mathematical



Methods for Digital Computers, Vol. 2, Chap. 11, John Wiley & Sons, Inc., 1967.

12. Spanier, J. and C.A. Hall. “Nested Bounds for the Spectral Radius,” SIAM J. Numer. Anal., 5, pp.

113-123, (1968).

13. Spanier, J. and L. B. Levitt. “A New Non-Multigroup Adjoint Monte Carlo Technique,” Nuclear



Sci. Eng., 37, pp. 278-287, (1969).

14. Spanier, J. and E. M. Gelbard. Monte Carlo Principles and Neutron Transport Problems, Addison-

Wesley, 1969.

15. Spanier, J. “An Analytic Approach to Variance Reduction,” SIAM J. Appl. Math., 18, pp. 172-190,

(1970).

16. Spanier, J. and K. B. Oldham. “The Replacement of Fick’s Laws by a Formulation Involving Semi-

differentiation,” J. Electroanal. Chem., 26, pp. 331-341, (1970).

17. Spanier, J. and L. B. Levitt. “Comments on Adjoint Monte Carlo Sampling Techniques,” Nuclear



Sci. Eng., 42, p. 118, (1970).

18. Spanier, J. “A New Multistage Procedure for Systematic Variance Reduction in Monte Carlo,” SIAM



J. Numer. Anal., 8, pp. 548=554, (1971).

19. Spanier, J. and K.B. Oldham. “A General Solution of the Diffusion Equation for Semiinfinite

Geometries,” J. Math. Anal. Appl., 39, pp. 665-669, (1972).

20. Spanier, J., and K.B. Oldham. The Fractional Calculus, Academic Press, New York and London,

1974.

21. Spanier, J. “Academic Realism: An Innovative Approach,” SIAM News, 9, June, (1976).



22. Spanier, J. "The Mathematics Clinic: An Innovative Approach to Realism within an Academic

Environment,” Amer. Math. Monthly, 83, pp. 771-775, (1976).

23. Spanier, J. “The Claremont Mathematics Clinic,” SIAM Review, 19, pp. 536-549, (1977).

24. Spanier, J. and K.B. Oldham. “Fractional Calculus and its Applications,” Bull. Poly Inst. Iasi, XXVIII,

pp. 29-34, (1978).

25. Spanier, J. “A New Family of Estimators for Random Walk Problems,” J. Inst. Maths. Applics., 23, pp.

1-31, (1979).

26. Spanier, J. “The Education of a Mathematical Modeler,” Proc. Second International Conference on

Mathematical Modelling, St. Louis, July 11-13, 1979.

27. Spanier, J. “Claremont’s Mathematics Clinic and Applied Mathematics Program,” Proc. Fourth

International Congress on Mathematical Education, August, 1980.

28. Spanier, J. “Thoughts About the Essentials of Mathematical Modelling,” Math Modelling, 1, pp. 99-

108, (1980).

29. Spanier, J. “Solving Equations is Not Solving Problems,” Mathematics Tomorrow. Lynn A. Steen, Ed.

pp. 23-27, Springer-Verlag, 1981.

30. Spanier, J. “Applied Mathematics Education at the Claremont Colleges,” Proc. Conference on

Mathematics in Industry, Oberwolfach, October 24-28, pp.75-88, 1982.

31. Spanier, J. and R. L. Borrelli. “The Mathematics Clinic: A Review of its First Decade,” UMAP



Journal, v. IV, No. 1, U29, (1983).

32. Spanier, J. “The Education of an Applied Mathematician,” Bull. Inst. Maths

Applics, March/April, (1983).

33. Spanier, J. and K.B. Oldham. An Atlas of Functions, Hemisphere Publishing Corporation, a subsidiary

of Harper and Row and Springer-Verlag, Washington D.C. and Berlin, 1987.

34. Spanier, J. “Modelling – A Personal Viewpoint”, Math Comp. Modelling, 16, pp. 147-149, (1992).

35. Spanier, J. and E.H. Maize, "Quasi-Random Methods for Estimating Integrals Using Relatively Small

Sample Sizes," SIAM Review, 36, pp. 18-44, (1994).

36. Spanier, Jerome, "Quasi-Monte Carlo Methods for Particle Transport Problems'', Monte Carlo and

Quasi-Monte Carlo Methods in Scientific Computing, Lecture Notes in Statistics #106, pp.121-

148, Springer-Verlag, 1995.

37. Spanier, J. and A. Badruzzaman, "Hybrid Monte Carlo Methods for Particle Transport", Proc.

International Conference on Mathematics and Computation, Reactor Physics, and Environmental

Analysis, April 30-May 4, 1995, Portland, OR.

38. Spanier, J. and A. Badruzzaman. “Impact and Efficiency of Monte Carlo Techniques Applied to a

New Generation of Nuclear Logging Measurements,” Proc. International Conference on

Mathematics and Computation, Reactor Physics, and Environmental Analysis, April 30-May 4,

1995, Portland, OR.

39. Christen, J.A., P. Jiang, L. Li, J.L. Morales-Perez, and J. Spanier, "Reducing the Cost of Monte Carlo

Analysis of Well Logging Data," Proc. Eleventh Workshop on Mathematical Problems in Industry,

Albuquerque, New Mexico, June 12-16, 1995.

40. Spanier, J. (ed.), Monte Carlo and Quasi-Monte Carlo Methods, a special volume of the journal

Mathematical and Computer Modelling, 23 nos. 8/9, April/May, 1996.

41. Spanier, J. and L. Li. “Quasi-Monte Carlo Methods for Integral Equations,” Monte Carlo and Quasi-

Monte Carlo Methods in Scientific Computing, Proc. Conf. At University of Salzburg, Austria,

July 9-12, 1996, Springer Lecture Notes on Statistics #127, 1998.

42. Spanier, J. and L. Li. “General Sequential Sampling Techniques for Monte Carlo Simulations: Part I –

Matrix Problems,” Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Proc.

Conf. At University of Salzburg, Austria, July 9-12, 1996, Springer Lecture Notes on Statistics

#127, 1998.

43. Spanier, J. “General Sequential Sampling Methods for Monte Carlo and Quasi-Monte Carlo

Applications,” Proc. Conf. On Adaptive Monte Carlo Methods, Los Alamos, N.M., August 14-16,

1996.

44. Li, L., and J. Spanier. "Approximation of Transport Equations by Matrix Equations and Sequential



Sampling," Monte Carlo Methods and Applications, 3, pp. 171-198, (1997).

45. Xiong, K. and J. Spanier, “A numerical algorithm of stability criteria in nonlinear control”, in Proc.

1997 IEEE International Conference on Control Applications, Hartford, CT., Oct. 5-7, 1997, pp.

335-337, (1998).

46. Spanier, J., and L. Li, "General Sequential Sampling Techniques for Monte Carlo Simulations: Part I –

Matrix Problems," Monte Carlo and Quasi-Monte Carlo Methods 1996, Lecture Notes in Statistics

#127, Springer-Verlag, 1998.

47. Spanier, J. "Monte Carlo Methods for Flux Expansion Solutions of Transport Problems", Nuclear

Sci. Eng., 133, pp. 1-7, (1999).

48. Spanier, J. "Geometrically Convergent Learning Algorithms for Global Solutions of Transport

Problems,'' Monte Carlo and Quasi-Monte Carlo Methods 1998, H. Niederreiter and J. Spanier,

Eds. Springer-Verlag, pp. 98-113, 1999.

49. Kong, R., and J. Spanier. "Sequential Correlated Sampling Methods for Some Transport Problems."

Monte Carlo and Quasi-Monte Carlo Methods 1998, H. Niederreiter and J. Spanier, Eds.,

Springer-Verlag, pp. 238-251, 1999.

50. Lai, Y. and J. Spanier. "Adaptive Importance Sampling Algorithms for Transport Problems." Monte

Carlo and Quasi-Monte Carlo Methods 1998, H. Niederreiter and J. Spanier, Eds., Springer-

Verlag, pp. 273-283, 1999.

51. Hayakawa, Carole, and J. Spanier. "Comparison of Monte Carlo Algorithms for Obtaining Geometric

Convergence for Model Transport Problems", Monte Carlo and Quasi Monte Carlo Methods



1998, H. Niederreiter and J. Spanier, Eds. Springer-Verlag, pp. 214-226, 1999.

52. Kong, R. and J. Spanier. "Error Analysis of Sequential Monte Carlo Methods for Transport

Problems," Monte Carlo and Quasi Monte Carlo Methods 1998, H. Niederreiter and J. Spanier,

Eds., Springer-Verlag, pp. 252-272, 1999.

53. Lai, Y. and J. Spanier. “Applications for Monte Carlo & Quasi-Monte Carlo Methods in Finance:

Option Pricing.” Monte Carlo and Quasi Monte Carlo Methods 1998, H. Niederreiter and J.

Spanier, Eds., Springer-Verlag, pp. 284--295, 1999.

54. Spanier, J., “Random, Quasirandom and Hybrid Methods for Transport Problems”, in Advanced



Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications, A. Kling, F

Barao, M. Nakaga, L. Tavora and P. Vaz (eds.), Proceedings of the Monte Carlo 2000

Conference, Lisbon, Portugal, 23-26 October, 2000, Springer, 2000.

55. Spanier, J., “Research Themes of Broad Transport Applicability”, in Advanced Monte Carlo for



Radiation Physics, Particle Transport Simulation and Applications, A. Kling, F. Barao, M.

Nakaga, L. Tavora and P. Vaz (eds.), Proceedings of the Monte Carlo 2000 Conference, Lisbon,

Portugal, 23-26 October, 2000, Springer, 2000.

56. Maucec, M. and J. Spanier, “The MCNP perturbation feature assessment for nuclear oil-well logging

Monte Carlo calculations”, in Proc. International Conference on Nuclear energy in Central

Europe, Bled, Slovenia, September 11-14, 2000.

57. Hayakawa, C., J. Spanier, F. Bevilacqua, A.K. Dunn, J.S. You, B.J. Tromberg and V. Venugopalan,

“Use of Perturbation Monte Carlo Techniques to Solve Inverse Problems in Heterogeneous

Tissue”, Optics Letters, 26, pp. 1335-1337, (2001).

58. Kong, R. and J. Spanier, “Residual Versus Error for Transport Problems”, in Monte Carlo and Quasi



Monte Carlo Methods 2000, K.T. Fang, F.J. Hickernell and H. Niederreiter (eds.), Proceedings

of a conference held at Hong Kong Baptist University, Hong Kong, S.A.R., China, November

27-December 1, 2000, Springer, 2002.

59. Viator, J., B. Choi, M. Ambrose, J. Spanier and J.S. Nelson, “In Vivo Port-Wine Stain Depth

Determination with a Photoacoustic Probe”, Applied Optics, 42, 3215-3224, (2003).

60. Spanier, J. and R. Kong, “A New Adaptive Method for Geometric Convergence”, Monte Carlo and



Quasi-Monte Carlo Methods 2002, (H. Niederreiter ed.), Springer-Verlag, pp. 439-449, 2004.

61. Hayakawa, C. and J. Spanier, “Perturbation Monte Carlo Methods for the Solution of Inverse

Problems”, Monte Carlo and Quasi-Monte Carlo Methods 2002 , (H. Niederreiter ed.),

Springer-Verlag, pp.227-241, 2004.

62. Hayakawa, C., B.Y. Hill, J.S. You, F. Bevilacqua, J. Spanier and V. Venugopalan, ”Use of the δ-P1

approximation for recovery of optical absorption, scattering, and asymmetry coefficients in

turbid media”, Applied Optics, 43, pp. 4677-4684, (2004).

63. Tseng, S.H., C. Hayakawa, B.J. Tromberg, J. Spanier and A.J. Durkin, “Quantitative spectroscopy

of superficial turbid media”, Optics. Let., 30, 3165-7, (2005).

64. Oldham, K.B., J. Myland and J. Spanier, The Fractional Calculus: Theory and Applications of



Differentiation and Integration to Arbitrary Order, Dover Publications, Inc., 2006.

65. Spanier, J., “Monte Carlo Methods”, chapter in Nuclear Computational Science: A Century in



Review., Springer-Verlag, to appear in 2007.

66. Spanier, J. and E.M. Gelbard, Monte Carlo Principles and Neutron Transport Problems, Dover

Publications, to appear in 2007.

67. Oldham, K.B., J. Myland and J. Spanier, An Atlas of Functions, second edition, Springer-Verlag, to

appear in 2008.

68. Bhan, K. and J. Spanier, “Condensed history Monte Carlo for photon transport problems”,

accepted for publication in J. Comp. Phys.
In process currently:
69. Hayakawa, C.K., J. Spanier and V. Venugopalan, “Coupled Forward-Adjoint Monte Carlo

Simulations of Radiation Transport for the Study of Optical Probe Design in Heterogeneous

Tissue, submitted to SIAM J. Appl. Math

70. Mosher, S., M. Maucec, J .Spanier, A. Badruzzaman, C. Chedester, M. Evans, and L. Gadeken,

“Expected-Value Techniques for Monte Carlo Modeling of Well Logging Problems”.

submitted to Nuclear Science and Engineering

71. Tseng, S-H, C. Hayakawa, J. Spanier J., B.J. Tromberg, and A. Durkin, “A Diffusive Light Source

for Quantification of Optical Properties of Superficial Layers”, (in preparation).

72. Spanier, J., M. Ambrose and R. Kong, “Fast, Adaptive Monte Carlo Solutions for Radiative

Transport (FAST)”, (in preparation).

73. Kong, R,. M. Ambrose and J. Spanier, “Adaptive Phase Space Refinement for Radiative

Transport Problems, (in preparation)

74. Ambrose, M. R.Kong and J. Spanier, “Fast, Adaptive Importance Sampling Methods for

Radiative Transport Problems”, (in preparation)



Selected Recent Presentations





  • “Geometrically Convergent Learning Algorithms for Global Solutions of Transport Problems”, invited talk at International Conference on Monte Carlo and Quasi-Monte Carlo Methods, Claremont, California, June 22-26, 1998.

  • “Multiple Integrals in Many Dimensions,” Claremont Research Institute of Applied Mathematical Sciences/Applied Math Seminar, Claremont, California. April 28, 1999.

  • “Methods and Algorithms for Geometric Convergence in Transport Problems,” Los Alamos National Laboratory, Los Alamos, New Mexico. July 21, 1999.

  • “MCNP-CRIAMS 1.0,” Chevron Oil Consortium, Houston, Texas. September 14, 1999.

  • “Condensed History Models for Electron and Photon Transport,” Claremont Research Institute of Applied Mathematical Sciences/Applied Math Seminar. Claremont, California. November 17, 1999.

  • “Thematic Research at CRIAMS: Geometrically Convergent Learning Algorithms and Applications,” Peter F. Drucker Graduate School of Management, Claremont Research Institute of Applied Mathematical Sciences/Applied Math Seminar on Current Activities, Claremont California. February 1, 2000.

  • “Thematic Research at CRIAMS: Monte Carlo-Based Perturbation/Sensitivity Analysis for Inverse Problem Solutions,” Peter F. Drucker Graduate School of Management, Claremont Research Institute of Applied Mathematical Sciences/Applied Math Seminar. Claremont, California. February 29, 2000.

  • “Thematic Research at CRIAMS: Monte Carlo-Based Perturbation/Sensitivity Analysis for Inverse Problem Solutions,” Claremont Research Institute of Applied Mathematical Sciences/Applied Math Seminar, Claremont, California. February 29, 2000.

  • “Monte Carlo Methods for Inverse Problems,” informal seminar as guest of the Facultat de Fisica. Presented at University of Barcelona, Spain. October 18, 2000.

  • “Research Themes of Broad Transport Applicability,” invited keynote talk presented at MC2000, International Conference on Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications, Lisbon, Portugal (paper to appear in Conference Proceedings). October 23, 2000.

  • “Monte Carlo Techniques for Solving Inverse Problems in Biomedical Optics,” invited seminar presented at Keck Graduate Institute of Applied Life Sciences. Claremont, California. November 16, 2000.

  • “Residual Versus Error in Transport Problems”, presented at MCQMC2000 International Conference on Monte Carlo and Quasi-Monte Carlo Methods, Hong Kong, November 27 - December 1, 2000.

  • “Monte Carlo Methods”, invited talk presented at Nuclear Mathematical and Computational Sciences: M & C 2003, A Century in Review - A Century Anew, Gatlinburg, Tennessee, April 6-10, 2003.

  • “A New Adaptive Method for Geometric Convergence”, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, November 25-28, 2002.

  • “Direct, Inverse and Optimization Problems in Medicine: New Uses for Old Ideas”, Keynote lecture at Special Session on Transport Problems for Medical Applications presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, November 25-28, 2002.

Editorships/Editorial Appointments



Editorial Boards: Mathematical and Computer Modelling, Fractional Calculus and Applied Analysis, Monte Carlo Methods and Applications, Journal of Statistical Physics, International Journal of Mathematical Modelling


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