Resume

John Weiss
: 49 Grand View Road, Arlington, Mass. 02476
: Tel (781) 641-1309 Fax (781) 648-6757
: E-mail johnweiss@rcn.com
: Web Site www.appmath.com

education

Courant Institute of Mathematics: 1979, New York University. Doctoral degree in mathematics, dissertation on turbulence and the Navier-Stokes equation.
Courant Institute of Mathematics: 1973, New York University. Master's degree in mathematics.
New York University: School of Engineering and Science, New York University, Bronx. Aeronautical Engineering and Mathematical Physics. Bachelor of Science degree. 1969.

work experience

Applied Mathematics Group

Principal Consultant. Arlington, MA. March 1995 - Present

Research and development of wavelet methods. Applied mathematics publishing and software development. Top Secret Clearance. See web site at: http://www.appmath.com

National University of Singapore

Research Consultant. Singapore. January 2001-Present. Collaborative research with mathematics and high performance computing groups at the National University of Singapore on the relationship between strain, vorticity, and fluid turbulence. This work builds on my previous research in this field.

Voice Signal Technology

Consultant. Cambridge, MA. August-November 2000.

Designed a fast fourier transform method based on the diagonalization of the fourier matrix. This can be efficiently implemented on low end hardware for use in speech recognition systems.

Kilclare Software

Consultant. Dublin, Ireland. March 2000-Present.

Built internet infrastructure for collaborative software developmemt, including source control, e-commerce, and virtual private networks.

Exxon Production Research

Consultant. Houston, TX. March 1997 - November 1998

Research and development of wavelet methods for seismic problems.

Boston Technology

Consultant. North Andover, MA. September 1996 - February 1997

Designed and coded an interface for a voice mail and paging system using c and ncurses.

Prometheus Inc. and AJ Devaney Associates

Senior Consultant. Newport, RI and Boston, MA. March 1995 - July 1996

Wrote several SBIR and STTR proposals to NSF and AFOSR. A STTR was funded for research on heat diffusion in a multichip module.

Aware, Inc.

Senior member of technical staff. Cambridge, Mass. Nov 1989-March 1995 Research and development of wavelet methods for the numerical solution of partial differential equations and digital signal processing. Design of multirate filter banks by optimization methods. Development and implementation of parallel methods for the Navier-Stokes and Schroedinger equations.

Computervision Corporation

Senior mathematical analyst, Bedford, Mass. Oct 1986-Nov 1989

Development and implementation of mathematical systems for the representation of surfaces by nonuniform, rational, B - splines. Project leader for two major projects on Sun - Unix workstation.

University of California, San Diego

Research Physicist. Sept 1982-March 1991

Principal Investigator of research grants with the Office of Naval Research, the Department of Energy, the Air Force Office of Scientific Research, and the National Science Foundation.

Harvard University

Visiting Research Physicist, Division of Applied Sciences, Harvard University. Feb 1986-June 1987

Research in mathematics.

Institute for Theoretical Physics

Visiting Research Physicist, University of California, Santa Barbara. Jan-April 1985.

Invited speaker in program on mathematical physics.

Center for Studies of Nonlinear Dynamics

Staff Scientist, La Jolla Institute, California. Oct 1979-Dec 1984

Postdoctral research in fluid mechanics.

Goddard Institute for Space Studies

Scientific Programmer , NASA, New York City, in support of climate and weather prediction studies. Jan 1974-Aug 1978

recent work experience

Applied Mathematics Group: March 1995 - Present

Principal consultant. Designed and coded in C a fast wavelet-Galerkin solver for heat flow in a multichip module and sound propogation in a layerd media. These can solve time dependent problems that can not be solved using current finite element methods. Discovered a real orthogonal diagonalization of the Fourier Matrix that can be used for the design of fast algorithms.

Voice Signal Technology: August 2000-November 2000.

Consultant. Implemented several algorithms for voice recognition on a low end chips. This is towards the inclusion of commodity voice recognition in common place appliances.

Kilclare Software: March 2000-Present

Consultant. Build and maintain a network of Linux and Windows systems supporting collaborative software development and marketing. This includes web sites, programming tools, source control, e-commerce tools, and virtual private networks with extensive use of Linux networking.

Exxon Production Research: March 1997 - November 1998

Consultant. Designed and coded a fast wavelet-Galerkin solver for the wave equation with applications to seismic data migration and modeling.

Aware, Inc: Nov 1989-March 1995

Senior member of technical staff. Cambridge, Mass. Security clearance from 1993.

Filter bank design

Designed and coded in C, Fortran and Matlab versions optimized cosine modulated filter bank modules. State of the art implementation is key component of Aware's X-window, Motif Wavetool product. The best frequency response available with perfect reconstruction property.

Speech denoising and enhancement

Designed, coded and applied Daubechies wavelet transforms, the Malvar lapped orthogonal transforms, multirate filter banks of Nguyen, and new invariant wavelet transforms algorithms developed by myself to speech denoising and enhancement. Applied with best basis constructions. X-window, C and Matlab modules.

Sonar transient detection

Designed, coded and documented invariant wavelet transform methods for acoustic transient detection. X-window, C and Matlab modules.

Schroedinger equation solvers

Designed, coded and applied parallel, wavelet-Galerkin solver for the Schroedinger equation on Intel Delta and Paragon platforms. Linear speedup with improved accuracy, speed and stability. C with Kuck Associates Fortran library.

Euler and Navier-Stokes equations solvers.

Designed, coded and applied parallel, wavelet-Galerkin solvers for Euler and Navier-Stokes equations in nonseparable regions. Linear speedup with improved accuracy, speed and stability. C with Kuck Associates Fortran library at Argonne National Laboratory.

Image edge detectors

Implemented wavelet-Galerkin gradient module for edge detection in image data.

Computervision Corporation: Oct 1986-Nov 1989

Principal software engineer, Bedford, Mass.

Gordon surface

Designed and coded in C a robust Gordon surface, surface interpolation module. Used for accurate fitting of NURBS surfaces to networks of curves. General implementation applied to filleting, offsetting, and data smoothing procedures in CAD.

Coons patch

Designed and coded in C a Coons patch module for surface interpolation.

further information

Languages and Systems

C, Fortran 77, Matlab on Sun workstation with Unix and Intel Delta parallel platform.

Fortran on Prime, Vax, IBM, Amdahl and Compaq PC platforms.

C, Fortran and Visual C++, Matlab on Pentium systems running Windows and Linux.

C, Tcl/Tk, XForms and Python on Intel Pentium and Digital Alpha UDB systems.

Most applications were scientific involving development of numerical methods for complex systems.

Postscript

Invited speaker at the Institute for Mathematics and Applications, University of Minnesota, for conference on nonlinear optics. November 1988

Invited speaker at Les Houches conference on nearly integrable systems. Grenoble, France. March 1989

Invited speaker at Annual Seminar of the Canadian Mathematical Society, Montréal, August 1989

Invited speaker at the Woods Hole Geophysical Fluid Dynamics Summer Program, August 1990 Invited speaker at conference on, The Painlevé transcendents, and their physical applications, St. Adele, Quebec, Sept. 1990

Invited speaker at the Seminar of the University of Illinois Supercomputer Center, January 1991

Invited speaker at MIT Applied Mathematics Colloquium, February 1991

Invited speaker at the USA - French workshop on Wavelets and Turbulence, Princeton University, June 1991

Invited speaker at III Potsdam - V Kiev International Workshop on, Nonlinear Processes in Physics, Potsdam, NY, August 1991

Invited speaker at the MIT Wavelet Seminar, March 1993

Co-organizer of the SIAM Minisymposium on Wavelets and the Numerical Solution of Partial Differential Equations, July 1993

Invited speaker at the SIAM Minisymposium on Wavelets and the Numerical Solution of Partial Differential Equations, July 1994

Invited speaker and chair of session on Wavelet methods for solving partial differential equations at the SPIE AeroSense Symposium. April 1995

Invited speaker at the NSF Workshop in Industrial Mathematics, held at Northeastern University, April 1998

Invited speaker at the workshop on Nonlinearity, Integrability, and All That, held at Gallipoli, Lecce, Italy, July 1 to July 10, 1999

Invited speaker at the first NUS-IHPC workshop on Computational Methods in Sciences and Engineering, held at the National University of Singapore, January 2001

Publications

John Weiss

.

1.: On the formulation of methods of artifical compressibility for the Navier-Stokes equations, La Jolla Institute Report, June (1980)
2.: Analytical structure of the Lorenz system, Phys. Rev. A 24 , (1981) , 2157
3.: The dynamics of enstrophy transfer in two-dimensioal hydrodynamics, La Jolla Institute Report, March(1981)
4.: On the analytic structure of the Henon-Heiles system, Phys. Lett., 85A, (1981)
5.: Analytic structure of the Henon-Heiles hamiltonian in integrable and non-integrable regimes, J Math Phys 23 (1982), 531
6.: An explicit, conservative difference scheme for Hamiltonian systems,La Jolla Institute Report, May(1981)
7.: The analytic structure of dynamical systems and self-similar natural boundaries, Physica 8D, (1983), 183
8.: The analytic structure of the Henon-Heiles system, in Mathematical methods in hydrodynamics and integrabilty in related dynamical systems, AIP conference proceedings, (1982).
9.: The Painlevé property for partial differential equations, J Math Phys 24 (1983), 552
10.: The Painlevé property for partial differential equations II: Bäcklund transformation, Lax pairs and the Schwarzian derivative, J Math Phys 24 (1983), 1405
11.: On classes of integrable systems and the Painlevé property , J Math Phys 25 (1984), 13
12.: The Sine-Gordon equations: Complete and partial integrability , J Math Phys 25 (1984), 2226
13.: Bäcklund transformation and linearizations for the Henon-Heiles system, Phys Lett 102A (1984), 329
14.: The Painlevé property and Bäcklund transformation for the sequence of Boussinesq equations, J Math Phys 26 (1985) , 258
15.: Bäcklund transformations and the Henon-Heiles system, Phys Letts 105A (1984), 387
16.: Modified equations, rational solutions and the Painlevé property for the KP and Hirota-Satsuma equations, J Math Phys 26 (1985) , 2174
17.: Bäcklund transformation and the Painlevé property, J Math Phys 27 (1986) , 1293
18.: Periodic fixed points of Bäcklund transformations and the Korteweg-de Vries equation, J Math Phys 27 (1986), 2647
19.: Periodic fixed points of Bäcklund transformations, J Math Phys 28 (1987) , 2025
20.: Bäcklund transformations, Focal surfaces and the Two dimensional Toda lattice, Phys Letts 137A (1989), 365
21.: Bäcklund transformations and the Painlevé property in Integrable systems and nonlinear optics, IMA Volume 25, Springer-Verlag (1990).
22.: Lectures on Bäcklund transformations and the Painlevé property in Les Houches school Partially integrable nonlinear evolution equations and their physical applications March (1989) NATO ASI C series, Vol. 310, Editor, R. Conte,Kluwer (1990).
23.: Bäcklund transformations and the Painlevé Property, Proceedings of Annual Seminar of the Canadian Mathematical Society on Lie Theory, Differential Equations and Representation Theory, August (1989), CRM, Montreal.
24.: Applications of compactly supported wavelets to the numerical solution of partial differential equations, in the Proceedings of the 1990 Summer Study Program in Geophysical Fluid Dynamics, Stellar Fluid Dynamics, pp 191-194. Report WHOI-91-03.
25.: The Singular Manifold Method, Proceedings of conference on The Painlevé transcendents, and their physical applications, St. Adele, Quebec (1990), Editor, P. Winternitz, Plenum Press (1992).
26.: The dynamics of enstrophy transfer in two dimensional hydrodynamics, Physica 48D, pp 273-294 (1991).
27.: Wavelets and the study of two dimensional turbulence, in the Proceedings of the USA - French workshop on Wavelets and Turbulence, Princeton University, June (1991), Editor, Y. Maday, Springer-Verlag (1992).
28.: The periodic fixed points of Bäcklund transformations, in the proceedings of the III Postdam - V Kiev International Workshop on Nonlinear Processes in Physics, Potsdam, NY, August (1991), Editor, D. Kaup, Springer-Verlag (1992).
29.: Wavelets and two dimenmsional turbulence, in the proceedings of the III Postdam - V Kiev International Workshop on Nonlinear Processes in Physics, Potsdam, NY, August (1991), Editor, D. Kaup, Springer-Verlag (1992).
30.: Factorization of the (2+1)-dimensional BLP integrable system by the periodic fixed points of its' Bäcklund transformations, Physics Letters A 160 (1991), 161.
31.: with S. Qian, Wavelets and the Numerical Solution of Partial Differential Equations, Journal of Computational Physics 106, pp 155-175 (1993).
32.: with S. Qian, Wavelets and the Numerical Solution of Boundary Value Problems, Applied Mathematics Letters 6, pp 47-52, (1993).
33.: Translation Invariance and the Wavelet Transform, Aware Technical Report January (1993).
34.: with K. Amaratunga, S.Qian and J. Williams, Wavelet-Galerkin solution for one dimensional partial differential equations, International Journal for Numerical Methods 37, pp 2703-2716 (1994).
35.: with S. Del Marco and P. Heller, An M-Band 2-Dimensional Translation-Invariant Wavelet Transform ans Applications, IEEE ICASSP 1995.
36.: with S. Del Marco, Improved Transient Signal Detection Using a Wavepacket-Based Detector with an Extended Translation-Invariant Wavelet Transform, IEEE Transactions on Signal Processing 45 (1997).
37.: with S. Del Marco, M-Band Wavepacket-Based Transient Signal Detector Using a Translation-Invariant Wavelet Transform, invited paper in Optical Engineering 33, pp 2175-2182 (1994).
38.: with S. Del Marco and K. Jagler, Wavepacket-Based Transient Signal Detector using a Translation-Invariant Wavelet Transform, invited paper in the Proceedings of the SPIE: Wavelet Applications Conference Volume 2242 pp 792-802 (1994).
39.: Applications of the Singular Manifold Method, invited paper in the proceedings of the workshop on Nonlinearity, Integrability, and All That, held at Gallipoli, Lecce, Italy, July 1 to July 10, 1999 Editors, M. Boiti, L. Martina, F. Pempinelli, B. Prinari, and G. Soliani, World Scientific Press, Singapore, April 2000.
40.: Construction of Algorithms by Diagonalization of the Fourier Matrix, Applied Mathematics Group Preprint, March 2001.
41.: Solution of the Wave Equation using the Wavelet-Galerkin Method, Applied Mathematics Group Report, August 1998.

42.: Parallel Methods for the Schroedinger Equation using Domain Decomposition and the Wavelet-Capacitance Matrix, Applied Mathematics Group Report, January 1995.

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John Edward Weiss
2002-09-16