Books

1. A. Jeffrey and D. Zwillinger, Tables of Integrals, Series, and Products, Academic Press, 7th Edition, 2007, 1200 pages, ISBN 0-12-373637-4. [home page here]
2. D. Zwillinger and S. Kokoska, Handbook of Probability and Statistics, CRC, Boca Raton, 2000, 554 pages, ISBN 1-58488-059-7. [home page here]
3. S. Kokoska and D. Zwillinger, Handbook of Probability and Statistics: Student Edition, CRC, Boca Raton, 2000, ISBN 0-8493-0026-6 [home page here]
4. D. Zwillinger (ed.), Standard Mathematical Tables and Formulae, 31st Edition, CRC, Boca Raton, 2002, 910 pages, ISBN 1-58488-291-3. CD-ROM version 1997. Chinese version 1998. [home page here]
5. D. Zwillinger, Handbook of Differential Equations, Academic Press, Third Edition, 1998, 801 pages. First edition chosen as ``Book of the Month'' for the Library of Science Book Club. CD-ROM version 1998. ISBN 0-12-784396-5 . [home page here]
6. D. Zwillinger, Handbook of Integration, Jones and Bartlett, Boston, 1992. 367 pages. Chosen as ``Book of the Month'' for the Library of Science Book Club. ISBN 0-86720-293-9. [home page here]
7. D. Zwillinger, Chapters on ``Ordinary Differential Equations'' and ``Partial Differential Equations'' in Encyclopedia of Mathematrics Education, Louise S. Grinstein and Sally I. Lipsey (eds), RoutledgeFalmer, New York, 2001, ISBN 0-8153-1547-X.

Refereed Articles

1. D. Zwillinger, ``Coarsening of Non-Spherical Particles,'' Journal of Crystal Growth, 94, No. 1, 1989, pages 159-165.
2. D. Zwillinger, ``Differential PPM has a Higher Throughput than PPM for the Band-Limited and Power-Limited Optical Channel,'' IEEE Transactions on Information Theory, 34, No. 5, September 1988, pages 1269-1273.
3. D. Zwillinger, ``Morphological Stability of Two Particle Diffusion in Three Dimensions,'' Journal of Crystal Growth, 74, No. 1, 1986, pages 48-56.
4. D. Zwillinger, ``Random Sum of Sines,'' Applied Acoustics, 19, 1986, pages 305-307.
5. D. Zwillinger and B. S. White, ``Propagation of Initially Plane Waves in the Region of Random Caustics,'' Wave Motion, 7, 1985, pages 207-227.
6. D. Zwillinger, ``A Goldbach Conjecture Using Twin Primes,'' Mathematics Of Computation, 33, No. 147, July 1979, page 1071.

Other Publications

1. D. Zwillinger, ``Judge's Commentary: The Outstanding Irrigation Papers ,'' The Journal of Undergraduate Mathematics and Its Applications, Fall 2006, Vol. 27, No. 3, pages 329-332.
2. D. Zwillinger, ``Judge's Commentary: The Outstanding Flood Planning Papers ,'' The Journal of Undergraduate Mathematics and Its Applications, Fall 2005, Vol. 26, No. 3, pages 279-281.
3. D. Zwillinger, ``Judge's Commentary: The Outstanding Grade Inflation Papers ,'' The Journal of Undergraduate Mathematics and Its Applications, Fall 1998, Vol. 19, No. 3, pages 323-327. [content here]
4. D. Zwillinger, ``Judge's Commentary: The Outstanding Helix Intersections Papers,'' The Journal of Undergraduate Mathematics and Its Applications, Fall 1995, Vol. 16, No. 3, pages 251-253. [content here]
5. M. T. Strauss and D. Zwillinger, ``Luggage Simulation,'' CADalyst, October 1995, page 29.
6. D. Zwillinger, ``Visualization of Circuit Card EM Fields,'' US Government report, AD-A347-002, March 1998.
7. D. Zwillinger, ``Visualization of Circuit Card Electromagnetic Fields,'' US Government report, AD-A291 491, January 1995.
8. M. Strauss and D. Zwillinger, ``A Luggage Simulation Tool,'' Final Report for Department of Transportation contract DTRS-57-93-C-00113, March 1994.
9. D. Zwillinger and M. J. Sousa, ``Analytical Determination of the Matrix Pseudo-Inverse,'' Macsyma Newsletter, VII, No. 3, July 1990, pages 1-8.
10. S. P. Marsh, M. E. Glicksman and D. I. Zwillinger, ``Statistical Mechanics of Mushy Zones,'' Modeling and Control of Casting and Welding Processes IV, A. F. Giamei and G. J. Abbaschian (eds.), The Metallurgical Society, Warrendale, P.A., 1988, pages 921-928.
11. D. Zwillinger, ``Completing The L-th Power in Z[x],'' SIGSAM Journal of The ACM, 18, No. 3, issue 71, pages 20-22, August 1984.

Ironbridge Reports

1. L. Fairbanks, S. Schwartz, D. Zwillinger, Model for bandwidth limited source aggregation, (submitted for publication)
2. D. Zwillinger, A simple queue model
3. D. Zwillinger, Alpha-stable distributions
4. D. Zwillinger, Analysis of network information from *** (proprietary name removed)
5. D. Zwillinger, Congestion in switches constructed from grid and toroidal architectures as they scale up
6. D. Zwillinger, Control loops: Data parameters
7. D. Zwillinger, Control loops: Program and preliminary conclusions
8. D. Zwillinger, Control loops: State diagram
9. D. Zwillinger, Determining buffer sizes needed for a large router
10. D. Zwillinger, Divisibility of the exponential distribution
11. D. Zwillinger, Double intermittancy model: using varying levels of precision
12. D. Zwillinger, Egress control loop: OC-192 POS results
13. D. Zwillinger, Egress control loop: OC-48 POS results
14. D. Zwillinger, Entropies of distributions with different tails
15. D. Zwillinger, Entropy calculus for networks: sample node computation (reorder node I)
16. D. Zwillinger, Entropy calculus for networks: sample node computation (reorder node II)
17. D. Zwillinger, Entropy calculus for networks: sample node computation (sum node)
18. D. Zwillinger, Ethernet aggregation
19. D. Zwillinger, Figure of merit for router topologies
20. D. Zwillinger, Formulation of network optimization problems
21. D. Zwillinger, High Entropy FARIMA Construction.
22. D. Zwillinger, Integer flow solutions for wheels and other graphs
23. D. Zwillinger, Link failure in *** network (proprietary name removed)
24. D. Zwillinger, Maxent and alpha-stable processes
25. D. Zwillinger, Moments of a specific process
26. D. Zwillinger, Monte-Carlo computations on grid and toroidal meshes
27. D. Zwillinger, Moving mass in a joint Gaussian distribution
28. D. Zwillinger, NLANR network traffic traces
29. D. Zwillinger, Network optimization: Baseline for new algorithms
30. D. Zwillinger, Network optimization: Evaluating router congestion
31. D. Zwillinger, Network optimization: linear (and non-linear) programming formulation
32. D. Zwillinger, Network optimization: noose method does not appear to be applicable
33. D. Zwillinger, Next generation architectures
34. D. Zwillinger, Noose method: algorithm and example
35. D. Zwillinger, Potential patentable concepts related to *** (proprietary terms removed)
36. D. Zwillinger, Rational network design
37. D. Zwillinger, Recognizing protocol sequences
38. D. Zwillinger, Red parameter computation
39. D. Zwillinger, Research networks
40. D. Zwillinger, Size of buffer in a router modeled as a queue
41. D. Zwillinger, Splitting of flows in networks
42. D. Zwillinger, Systematic study of splittings in regular graph networks
43. D. Zwillinger, Testing of RED
44. D. Zwillinger, Time scales in a network
45. D. Zwillinger, Traffic engineering example
46. D. Zwillinger, Traffic engineering: Let the splits evolve in time
47. D. Zwillinger, Truncated Gaussian distributions
48. D. Zwillinger, Using Dijkstra algorithm to determine most utilized links in a network
49. D. Zwillinger, Utilization of hypercubes
50. D. Zwillinger, Voting Power
51. D. Zwillinger, Wandl capabilities

BBN Reports

1. C. I. Malme, P. Jameson, P. McElroy, D. Stracher, G. Thomas, D. Zwillinger, Development of a High Target Strength Passive Acoustic Reflector for Low Frequency Sonar Applications, BBN Report No. 7943.
2. D. Zwillinger, The Availability of Software for Waves in Elastic Media.
3. D. Zwillinger, The Availability of an ALIAS Program and a UNITS CONVERSION Program.
4. D. Zwillinger, Some UNIX Utilities.
5. P. Jameson and D. Zwillinger, MATLAB Programs to Compute Impedance of Elastic and Fluid Annular Layers.
6. P. Jameson and D. Zwillinger, Standards for Comparing Finite Element and Direct Method Results.
7. P. Jameson, D. Zwillinger, and R. Mullen, Self-Consistent Material Constants.
8. P. Jameson, D. A. Sachs, and D. Zwillinger, Derivation of the Equations of Motion of a Flat Transducer.

MITRE Reports

1. D. Zwillinger and D. J. Muder, Obtaining High-Accuracy Measurements from Low-Accuracy Measurements, Working Paper 29295.
2. D. Zwillinger, Statistical Analysis Tools and Autoregressive Modeling of OTH-B Inner Doppler Clutter, Working Paper 29226.
3. D. Zwillinger, Delay Line Length Requirements (section 4) and D. Zwillinger, Error Analysis (section 9) in J. M. Schoen (editor), Superconducting Analog-to-Digital Converters,
4. D. Zwillinger, Improvement of Radar Performance by Post-Detection Filtering, Working Paper 28788.
5. D. Zwillinger, Counting the Number of Different Post-Detection Radar Filters, Working Paper 28783.
6. D. Zwillinger, BMEWS SOI Data Analysis, Working Paper 28660.
7. A. Chan and D. Zwillinger, The Radar Squint Problem: Analysis and Algorithms, Working Paper 28584.
8. D. Zwillinger and M. Sousa, Analytical Determination of the Pseudo-Inverse, Working Paper 28573.
9. D. Zwillinger, Derivation of Two-Tone PDF, Appendix A in D. Moulin, Characterization of Analog-to-Digital Converters for Signal Processing Applications, Working Paper 28047.
10. J. J. Rushanan and D. Zwillinger, Signal Processing with Artificial Neural Networks, Volume II: Feedback Networks, Technical Report 10536, volume 2.
11. D. Zwillinger, On the Use of Dither Noise to Improve the Integral Nonlinearity of A/D Converters.
12. D. Zwillinger, Random Points in the Plane.
13. D. Zwillinger, Operating a Squinting Radar in the Random Block Mode.
14. D. Zwillinger, Determining the ``Optimal'' Post-Detection Radar Filter.
15. D. Zwillinger, An Asymptotic Evaluation of the Directivity of a Planar Array.
16. D. Zwillinger, An Explicit Expression for the CORDIC Constant.
17. D. Zwillinger, Current Status of AOTH Clutter Modeling.
18. D. Zwillinger, Assessment of An Analog Application of RNS.
19. D. Zwillinger, The Assignment Problem and Obtaining Good Quality Software For Free.
20. D. Zwillinger, Detection Probability Losses in ``Bird Filter'' and MDP.
21. D. Zwillinger, State Space Representation. (This appears as Appendix E in: D. Moulin, High-Performance Analog-to-Digital Conversion, Technical Report 10767)
22. D. Zwillinger, RNS: Residue Number Systems.
23. J. J. Rushanan and D. Zwillinger, Signals in the Noise.
24. D. Zwillinger, How Many Lightning Strokes are There?.
25. D. Zwillinger, Summing the Möbius Function.
26. M. J. Sousa and D. Zwillinger, The Well-Conditioning of the Eigenvalue Problem.
27. M. J. Sousa and D. Zwillinger, A Quadratic Minimization Problem.
28. D. Zwillinger, Mean Time until Synchronization Loss for the JTIDS LPC-10 Digital Voice Algorithm.
29. D. Zwillinger, Estimating the Determinants of Sample Covariance Matrices.
30. A. L. Bequillard, S. D. O'Neil, and D. Zwillinger, Phase Plane Bounds for Signals Limited in Amplitude and Frequency.
31. A. L. Bequillard and D. Zwillinger, Estimating the Determinants of Sample Covariance Matrices.

JPL Reports

1. J. Lesh, J. Katz, H. Tan and D. Zwillinger, ``2.5 Bit/Detected Photon Demonstration Program: Description, Analysis and Phase I Results,'' TDA Progress Report, 42-66 (15 Nov 1981), pages 115-132, Jet Propulsion Laboratory, Pasadena, California.
2. D. Zwillinger, ``Maximizing Throughput Over An Average-Power-Limited and Band-limited Optical Pulse Position Modulation Channel,'' TDA Progress Report, 42-62 (Jan and Feb 1981), pages 81-86, Jet Propulsion Laboratory, Pasadena, California.

Presentations

Professional Activities/Conference Presentations

1. Featured in the Business Section of the Boston Globe on 14 February 2000
   (weekly section highlighting individuals in high tech): see copy of newspaper clipping here, or visit Boston Globe source here.
2. Visiting SIAM (Society of Industrial and Applied Mathematics) lecturer. Lectured to undergraduates on applied mathematics. (1992-1999)
3. Judge for the yearly Mathematical Competition in Modeling, Harvey Mudd College (sponsored by COMAP of Lexington, MA). (1992-1999, 2002-2004)
4. S. P. Marsh, C. S. Pande, Naval Research Laboratory, Washington, DC; M. E. Glicksman, Rensselaer Polytechnic Institute, Troy, NY; D. I. Zwillinger, Aztec Corporation, Waltham, MA, Environmental noise effects in statistical coarsening theory, in Computational and Mathematical Models of Microstructural Evolution'', Materials Research Society meeting, 14-16 April 1998
5. D. Zwillinger, ``Computer Verification of Integral Tables,'' 1993 SIAM National Meeting, Philadelphia. (12 July 1993)
6. D. Zwillinger and P. W. Jameson, ``Improved Integration Methods for Poles in Transfer Functions,'' 1993, 125th Meeting of the Acoustical Society of America, Ottawa.
7. S. P. Marsh, D. Zwillinger and M. E. Glicksman, ``A General Geometric Model of Coarsening: Mathematical Development--I,'' invited paper, 1988 SIAM National Meeting.
8. D. Zwillinger, M. E. Glicksman and S. P. Marsh, ``A General Geometric Model of Coarsening: Mathematical Development--II,'' invited paper, 1988 SIAM National Meeting.
9. Chairperson for ``Classical Analysis'' session at the 1987 SIAM National Meeting
10. D. Zwillinger, S. P. Marsh and M. E. Glicksman, ``Statistical Mechanics of Mesoscale Behavior,'' contributed paper, 1987 SIAM National Meeting.
11. D. Zwillinger, ``Solidification Problems Using MACSYMA,'' contributed paper, 1986 SIAM National Meeting.

Courses Taught

• Rensselaer Polytechnic Institute, 1983-1987 (undergraduate unless otherwise indicated)
  • Advanced Calculus
  • Complex Variables
  • Communication Theory (graduate)
  • Differential Equations
  • Discrete Structures
  • Linear Algebra
  • Probability (graduate and undergraduate)
  • Statistics
• MITRE Institute: Statistics and Probability Refresher Course (1989 & 1990)

Seminars Given

• AFRL TEC data: A quick look, Raytheon, Sudbury, MA, 31 August 2001
• Matlab Overview, Raytheon, Bedford, MA, 13 June 2001,
  [slides in html format]   [slides in pdf format]
• Polya theory (with a simple application to radar), Raytheon, Bedford, MA, 5 April 2001,
  [slides in html format]   [slides in pdf format]
• Creating electronic technical books,
  • Wolfram Research, Champaign, IL, 4 August 1998.
  • NIST, Gaithersburg, MD, 5 June 1998. [slides in html format]
• How can you listen to a CD with scratches on it?,
  • Worcester Polytechnic Institute, 1 December 1995.
  • University of Rhode Island. 5 December 1994.
  • Rhode Island College. 8 December 1993.
• If computer speeds are doubled, can we predict the weather better?, University of Rhode Island. 2 March 1993.
• Software for elastic wave propagation, BBN, Cambridge, MA, 25 June 1992.
• The conditioning of numerical computations, BBN, Cambridge, MA, 31 August 1992.
• Chaos: A tutorial,
  • New York/Long Island Microwave Theory and Techniques Society, Long Island, NY, 24 April 1990.
  • Information Theory Chapter of the Boston section of the IEEE, Lincoln Laboratories, Lincoln, MA, 28 November 1989.
• Modeling of nonstationarity processes and chaos, MITRE Sensor Center, Bedford, MA, 12 January 1990.
• Phase coarsening, Institute for Defense Analyses, Princeton, NJ, 24 August 1987.
• A new approach to phase coarsening, RPI, Troy, NY, 13 November 1986.
• Analysis of stochastic differential equations, National Bureau of Standards, Gaithersburg, MD, 4 December 1985.
• Analysis of stochastic equations (waves in random media), Center for Naval Analyses, Alexandria, VA, 8 May 1985.
• Waves in random media, Air Force Institute of Technology, Wright-Patterson AFB, OH, 25 April 1985.
• Stochastic equations and their analysis (waves in random media), Aerospace Corporation, El Segundo, CA, 22 March 1985.