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Engineering Analysis

Location:
Orlando, FL
Posted:
February 10, 2013

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Resume:

Resum of M. Zuhair Nashed

Current Position: Professor of Mathematics

University of Central Florida

Address: Department of Mathematics

University of Central Florida

P.O. Box 161364

Orlando, FL 32816-1364

Telephone: Office: 407-***-****

Home: 407-***-****

Fax: 407-***-****

E-mail: abqkqs@r.postjobfree.com

Education:

Massachusetts Institute of Technology, S.B., 1957, and S.M. 1958, in Electrical Engineering

The University of Michigan at Ann Arbor, M.S., Ph.D., 1963, in Mathematics

Academic and Research Positions:

Georgia Institute of Technology: Assistant Professor of Mathematics, 1963-65; Associate

Professor, 1965-69; Professor, 1969-71, 1972-76.

The University of Delaware

Professor of Mathematics, 1977-2002.

Professor of Electrical Engineering, 1983-2002.

The University of Central Florida: Professor and Chair, 2002 2006; Professor, 2002 present.

Concurrent and/or Visiting Positions:

Mathematics Research Center, the University of Wisconsin-Madison

Visiting Research Associate Professor, Spring 1967

Visiting Professor, 1970-72, Summer 1973

American University of Beirut, Lebanon: Associate Professor, 1967-69

University of Michigan, Ann Arbor: Visiting Professor, 1976-77

University of Petroleum and Minerals, Dhahran, Saudi Arabia: Visiting Professor, 1983-85

Various short visiting appointments (2 weeks 2 months) at several universities and research

institutes in North America, Europe, Australia, the Middle East, China, Japan and

Malaysia.

Research Interests: Integral and operator equations; inverse and ill-posed problems; numerical

functional analysis; nonlinear functional analysis; optimization and approximation theory; operator theory

and generalized inverses; sampling theory and signal analysis; inverse problems in engineering, optimal

control theory and signal processing; computational conformal mappings; variational inequalities and set-

valued analysis; reproducing kernel spaces.

Editorial Boards:

Editor-in-Chief, Numerical Functional Analysis and Optimization (Taylor & Francis)

(One of four) Editor-in-Chief, Sampling Theory in Signal and Image Processing (Sampling

Publishing)

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Member of Editorial Boards of the following journals:

- Nonlinear Analysis: Theory, Methods & Applications (Elsevier)

- Mathematical Results (Birkh user)

- Set-Valued and Variational Analysis: Theory and Applications (Springer)

- Calcolo (Springer Verlag)

- Involve (Mathematical Sciences Publishers, UC Berkeley)

- Journal of Computational Analysis and Applications

- Applicable Analysis (Taylor and Francis)

- International Journal of Computing Science and Mathematics (Inderscience Publishers, UK)

- Dynamic Systems and Applications (Dynamic Systems, Inc.)

- Journal of the Indian Society for Industrial and Applied Mathematics

- Sampling Theory in Signal and Image Processing (Sampling Publishing)

- Advances in Theoretical and Applied Mathematics

- Journal of Inequalities in Pure and Applied Mathematics, an electronic journal, (Victoria

University, Australia)

- Journal of Functional Analysis and Approximation Theory

- International Journal of Pure and Applied Mathematics

- International Journal of Applied Mathematical Sciences (GBS Publishers)

- Honom Mathematical Journal (Korea)

- Jordan Journal of Mathematics and Statistics

- Communications in Applied Nonlinear Analysis

- Arab Journal of Mathematics and Mathematical Sciences

- Karachi Journal of Mathematics

- Advisory Board: Arabian J. Mathematical Sciences (Saudi Arabia)

Pure and Applied Mathematics Program (Monographs, Textbooks, and Lecture Notes), Marcel Dekker,

Inc., of New York, Basel and Hong Kong, acquired and continued by Chapman and Hall/CRC,

Taylor & Francis.

Member of the Editorial Board, 1979-82

Executive Editor, 1983-present.

Past Editorial Boards: Associate editor of Journal of Computer and System Sciences (Academic Press).

Member of Editorial Board: Differential and Integral Equations (Ohio University), International

Journal of Mathematics and Mathematical Sciences, Stochastic Analysis and Applications (Marcel

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Dekker, Inc.), International Advisory Panel for the journal Inverse Problems (Institute of Physics),

Scientific Advisory Board of Methods of Operations Research. Advisory Board of World Scientific

Series in Applicable Analysis.

Founding Editor (with the late Albert Bharucha-Reid) of Journal of Integral Equations, and of its

successor (with P.M. Anselone) Journal of Integral Equations and Applications (and Editor till

2006).

Professional and Honorary Society Memberships: Professional and honorary society (current or

recent) memberships include American Mathematical Society, Mathematical Association of America,

Society for Industrial and Applied Mathematics, Institute of Electrical and Electronics Engineers,

Association for Women in Mathematics, London Mathematical Society, Austrian Mathematical Society,

International Society for Interaction of Mathematics and Mechanics, International Federation of

Nonlinear Analysts, American Association for the Advancement of Science, American Association of

University Professors, Sigma Xi, and Eta Kappa Nu.

Publications:

Author or co-author of over 120 research papers. Contributions include papers in the following journals:

Mathematical Journals:

Bulletin of American Mathematical Society

Proceedings of the American Mathematical Society

Transactions of the American Mathematical Society

Mathematics of Computation

SIAM Journal on Applied Mathematics

SIAM Journal on Mathematical Analysis

SIAM Journal on Numerical Analysis

SIAM Journal on Optimization

SIAM Review

Journal of the London Mathematical Society

Annali della Scuola Normale Superiori di Pisa

Rendiconti Academia Nazional Dei Lincei

American Mathematical Monthly

Mathematics Magazine

Journal of Fourier Analysis and Applications

Advances in Computational Mathematics

Numerische Mathematik

Mathematics of Control, Signals and Systems

Applied Mathematics and Optimization

Journal of Optimization Theory and Applications

Pacific Journal of Mathematics

Journal of Mathematics and Mechanics/Indiana J. of Mathematics

Journal of Functional Analysis

Journal of Approximation Theory

Journal of Integral Equations

Nonlinear Analysis: Theory, Methods & Applications

Applicable Analysis

Abstract and Applied Analysis

Set-Valued Analysis

Resultate der Mathematik/Mathematical Results

Journal of Mathematical Analysis and Applications

Inverse Problems

Journal of Inverse and Ill-Posed Problems

Differential and Integral Equations

Journal of Integral Equations and Applications

Numerical Functional Analysis and Optimization

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Linear Algebra and Its Applications

Commentationes Mathematicae Universitatis Carolinae

Mediterranean Journal of Mathematics

Mathematical Methods in the Applied Sciences

Comptes Rendus Mathematiques de l Acad mie des Sciences (Canada)

Journal of Computational and Applied Mathematics

ZAMM, Z. Angew. Math. Mech.

Analysis (Munich)

Journal of Computers and Mathematics with Applications

Journal of Computational Analysis and Applications

International J. Wavelets, Multiresolution, and Information Processing

Communications in Applied Analysis

Engineering, Physics and Applied Sciences Journals:

IEEE Transactions on Antennas and Propagation (invited)

Foundations of Physics

Z. Angew. Math. Mech

Zeitschrift f r Operations Research

Mathematical Methods in Engineering (Elsevier)

Applied Optics (Taylor & Francis)

Remote Sensing of Environment (Elsevier)

Author of over 30 expository and invited survey articles in several edited books.

Editor of: Generalized Inverse and Applications, Academic Press, 1976 and Functional Analysis

Methods in Numerical Analysis, Springer-Verlag, 1979. Co-editor of Mathematical Analysis,

Wavelets and Signal Processing, American Mathematical Society, 1995. Co-editor of

Approximation Theory, Marcel Dekker, Inc. 1998. Co-editor of Inverse Problems and Image

Analysis, and Medical Imaging, American Mathematical Society, 2002. Author of the Mathematics

Chapter in Perry s Chemical Engineering Handbook, 6th edition, McGraw-Hill. Contributor of short

articles in encyclopedias.

Author of over fifty invited book reviews which appeared in the Bulletin of the American Mathematical

Society, SIAM Review, American Mathematical Monthly, Canadian Mathematical Bulletin,

Mathematics of Computation, Mathematical Reviews, Zentralblatt f r Mathematik and Zeitschrift f r

Operations Research, Series A: Theory.

Honors and Awards

A recipient of the Lester R. Ford Award of the Mathematical Association of America, 1967. (This is

an award for an expository paper.)

Sigma Xi Faculty Research Award in 1965 and 1973; Sustained Research Award in Science, 1976.

Invited hour address at the 710th meeting of the American Mathematical Society, 1973.

Fellow at the Center for Adanced Studies, University of Delaware, 1982-83.

Distinguished Researcher Award, UPM, 1985.

Opening and Closing Plenary Lectures, at MAA meeting in New Orleans, 75th anniversary of the

Louisiana Section, 1998.

Plenary lectures at several meetings of engineering societies in the USA, Europe and Japan, 1982-

2004.

Invitation to nominate candidates for the Kyoto Prize in Basic Sciences 1998, 2002.

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Research Grants and Contracts

Principal Investigator of research grants from the U.S. Army Research Office, National Science

Foundation, National Aeronautics and Space Administration. Co-PI on research grant, Lockheed

Martin and I4.

Grants for International Symposia

Principal Investigator of grants from the Army Research Office and the Air Force Office of Scientific

Research for organizing an International Symposium on Ill-Posed Problems: Theory and

Applications. Co-Principal Investigator of NSF grants for three international conferences.

Curriculum Grants

Co-investigator in a five year grant from NSF to develop an interdisciplinary program (instructional

and research) in Systems Engineering. Participant in several NSF grants for undergraduate and

graduate programs.

Consulting

Consultant to several industrial corporations and government research laboratories, including Bendix

Corporation (Huntsville, Alabama), Langley Research Center (Virginia) and Aberdeen Proving

Ground (Maryland).

Selected Professional Activities/Supplementary Information:

SIAM Visiting Lecturer, 1972-75, 1993-present. Invited speaker at over thirty Special Sessions at

AMS meetings. Visiting Scholar and Distinguished Lecturer at several universities in the U.S.A.

and abroad. Principal lecture at the Sixth Annual Conference on Undergraduate Mathematics, 1982.

Invited hour address at a meeting of the Mathematical Association of America, April, 1986. Invited

speaker at 14 Oberwolfach Conferences, 1975-2005. Principal speaker at several faculty

enhancement workshops sponsored by NSF or the Mathematical Association of America.

Invited speaker at over 150 international conferences and symposia; colloquium lecturer at over 200

universities in North America, Europe, Australia, the Middle East, Japan, Singapore, Malaysia, P.R.

China, India and Pakistan.

Organized and lectured in short courses on nonlinear and numerical analysis, inverse problems,

optimization and approximation methods at Georgia Tech, and was a guest lecturer in similar

programs at UCLA and other universities. Consulted in these areas at the Ballistic Research Labs,

Maryland, Langley Research Center, Virginia, Battelle, and other government, industrial, and

educational institutions. Organized 15 Special Sessions at meetings of the American Mathematical

Society, organized three mini symposia at SIAM meetings; invited speaker and organizer of several

sessions at the International Congress of Nonlinear Analysts (1992, 1996, 2000, 2004, 2008).

Served on external evaluation committees for mathematics departments and College of Science for

several universities in the U.S.A. and abroad.

Member of the Review Committee for Mathematics for the Board of Regents of the University of Florida

Systems (1990). Co-chair, Advisory Committee, Interdisciplinary Center for Computational

Sciences, Atlanta University, 1987.

Program Chairman of the Advanced Seminar on Generalized Inverses and Applications held at the

University of Wisconsin-Madison, October 8-10, 1973; Chairman and invited speaker at the

SIGNUM Session of the 1973 National Meeting of the Association for Computing Machinery,

Organizer, Special Session on Functional Analysis Methods in Numerical Analysis, 83rd Annual

Meeting of AMS, January 26-30, 1977, Special Session on Integral Equations with Emphasis on

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Fredholm and Hammerstein Equations, 85th annual meeting of AMS, January 24-27, 1979;

Organizer, Special Session on Ill-Posed Problems in Systems Theory, International Symposium

on Mathematical Theory of Networks and Systems, July 3-6, 1979, Delft University of Technology,

The Netherlands; Chairman of the International Symposium on Ill-Posed Problems: Theory and

Practice, (sponsored by the Air Force Office of Scientific research and the Army Research Office),

held at the University of Delaware, October 2-6, 1979; Principal Lecturer, Workshop on

Applications of Linear Algebra, the MD-DC-VA Section of the MAA, June, 1980; gave one month

advanced seminar on Mathematics of Earth Science at the Scuola Matematica Interuniveristaria

of Pisa, at Corona, Italy, a series of twenty lectures on inverse and ill-posed problems. Organizer of

Special Session on Adjoint Subspaces and Boundary Problems, Annual Meeting of AMS, January

1982, Special Session on Interaction of harmonic Analysis, Signal Processing and Computational

Mathematics, Annual Meeting of AMS, Baltimore, January 1992, Scientific Advisory Committee,

Alpine-U.S. Seminar on Inverse and Ill-Posed Problems, 1986. Member of the Organizing

Committee, of several international conferences, most recently the International Conference on

Inverse Problems and Their Applications in Geophysics, Medicine and Technology (Potsdam,

Germany, August 30-September 3, 1993) and the International conference on Mathematical

Analysis and Signal Processing (Cairo, January 3-9, 1994), partially supported by an NSF grant.

Member of the Scientific Program/Organizing Committee of numerous international conferences

including conference on inverse problems held in Moscow (1991, 1996), Osaka (1995), Ho Chi

Minh City (1996), Manila (1989), and the Mathematics Conference at Bir-Zeit University (1998),

partly supported by NSF, International Conference on Fourier Analysis & Applications, Kuwait,

1998, International Conference on Industrial Mathematics, Madras, 2000. Organizer of Special

Sessions at annual meeting of the AMS: Inverse Problems and Signal Analysis, January, 1998;

Inverse Problems, Image Analysis, and Medical Imaging, January, 2000; Sampling Theory in

Inverse Problems and Signal Analysis, January, 2002. Member of Award Committee for Graduate

Students Papers, SIAM, 1999-2003.

Listed in current or earlier editions of Who s Who in the World, Who s Who in America, American Men

and Women of Science, Who s Who in the East, Who s Who in the South and Southeast, Men and

Women in Distinction, Who s Who in Technology Today, Who s Who in American Education, and

in several other international biographical books.

Selected Publications from 1998-2007:

1. Nonuniform multiresolution analyses and spectral pairs, with Jean-Pierre Gabardo, J. Functional

Analysis, 158 (1998), 209-231.

2. On some partial integral equations arising in the mechanics of solids, with J. Appell and A. S.

Kalitvin, ZAMM-Z. Angew. Math. Mech.,79 (1999), 703-713.

3. Numerical conformal mapping for exterior regions via the Kerzman-Stein kernel, with A. H. Murid

and M.R. Razali, J. Integral Equations and Applications, 10 (1998), 517-532.

4. Some integral equations related to the Riemann map, with A.H. Murid and M.R. Razali, Compu-

tational Methods and Function Theory (N. Papamichael, St. Ruscheweyh and E.B. Saff, eds.),

World Scientific Publishing Co., 1999, pp. 405-419.

5. Least squares and bounded variation regularization with nondifferentiable functions, with O.

Scherzer, Numer. Funct. Anal. Optimiz., 19 (1998), 873-901.

6. Smoothing methods and semismooth Newton methods for nondifferentiable operator equations, with

X. Chen and L. Qi, Applied Math. Report AMR 99/7, University of New South Wales, May 1999,

SIAM J. Numer. Analysis, 38 (2000), 1200-1216.

7. An analogue of A. Cohen s condition for nonuniform multiresolution analyses, in Wavelets, Multi-

wavelets and their Applications (A. Aldroubi and E.B. Lin, eds.), Contemporary Mathematics, vol.

216, pp. 41-61, American Mathematical Society, Providence, R.I., 1998.

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8. Regularization of nonlinear ill-posed variational inequalitites and convergence rates, with F. Liu,

Journal of Set-Valued Analysis, 6 (1998) 313, 344.

9. A domain integral equation for the Bergman kernel, with A. H. Murid and M.R. Razali, Resultate der

Mathematik/Mathematical Results, 35 (1999), 161-174.

10. Stable recovery of analytic functions using basic hypergeometric series, with V.K. Tuan, Journal of

Computational Analysis and Applications,3 (2001), 33-51.

11. Paley-Wiener type theorems by transmutations with A. Boumenir, J. Fourier Analysis and

Applications, 7 (2001), 395-417.

12. Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert

spaces, with C. Van der Mee and S. Seatzu, Advances in Computational Mathematics, 19 (2003),

355-372.

13. Iterative-projection regularization of ill-posed variational inequalities, with Y. Alber, Analysis

(Munich), 24 (2004), 19-39.

14. Marcia Kashimoto and Zuhair Nashed, A Choquet-Deny-type theorem and applications to

approximation in weighted spaces, Mediterr. J. Math., 2 (2005), 407-416.

15. L. Gongsheng and Z. Nashed, A modified Tikhonov regularization for linear operator equations,

Numer. Funct. Anal. Optimiz., 26 (2005), 543-564.

16. Zuhair Nashed, Applications of Wavelets and Kernel Methods in Inverse Problems, in Integral

Methods in Science and Engineering, C. Constanda, Z. Nashed, and D. Rollins, eds., Birkhauser,

Boston, 2006, pp. 189 197.

17. Y. Wang, Z. Wen, Z. Nashed and Q. Sun, Direct fast method for time-limited signal reconstruction,

Applied Optics, 45 (2006), 3111 3126.

18. C.W. Groetsch and M. Z. Nashed, Kendall Eugene Atkinson: an appreciation, J. Integral Equations

Appl., 18 (2006), 1 11.

19. M. S. Kashimoto and M. Z. Nashed, A note on factorization of bounded linear operators,

Communications in Applied Analysis, 11 (2007), 97-102.

20. Y. Wang, Z. Wen, Z. Nashed and Q. Sun, On direct method for time-limited signal and image

reconstruction and enhancement, Int. J. Wavelets, Multiresolution and Information Processing, 5

(2007), 51-68.

21. Y. Wang, X. Li, Z. Nashed, F. Zhao, H. Yang, Regularized kernel-based BRDF model inversion for

ill-posed land surface parameter retrieval, Remote Sensing of Environment, 111 (2007), 36 50.

Edited Books (2002 2208)

1. Inverse Problems, Image Analysis, and Medical Imaging, with O. Scherzer, co-editor,

Contemporary Mathematics, vol. 313, American Mathematical Society, Providence, RI, 2002, 305

pp.

2. Mathematical Models and Methods for Real World Systems, K. M. Furati, Z. Nashed, and A. H.

Siddiqi, editors, Chapman & Hall/CRC, Boca Raton, FL, 2006, 455 pp.

3. Integral Methods in Science and Engineering: Theoretical and Practical Aspects, C. Constanda,

Z. Nashed, and D. Rollins, editors, Birkhauser, Boston, 2006, 312 pp.

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4. Frontiers in Interpolation and Approximation, dedicated to the memory of Ambikeshwar Sharma,

N. K. Govil, H. M. Mhaskar, R. N. Mohapatra, Z. Nashed, and J. Szabados, editors, Chapman &

Hall/CRC, Boca Raton/London/New York, 2006, 431 pp.

5. Advances in Applied and Computational Mathematics, F. Liu, Z. Nashed, G. M. N Guerekata,

editors, Nova Science Publishers, New York, 2006, 280 pages.

6. Frames and Operator Theory in Analysis and Signal Processing, D. R. Larson, P. Massopust, Z.

Nashed, M. C. Nguyen, M. Papadakis, and A. Zayed, editors, Contemporary Mathematics, vol.

451, American Mathematical Society, Providence, RI, 2008, 291 pp.

Courses Taught at the University of Delaware

Graduate and Special Topics Courses: Integral Equations, Nonlinear Integral Equations, Functional

Analysis, Numerical Analysis I &II, Nonlinear Functional Analysis, Inverse and Ill-Posed

Problems, Numerical Functional Analysis, Measure Theory and Integration, Vector Spaces,

Advanced Matrix Analysis, Calculus of Variations, Topics in Mathematical Programming and

Convex Analysis, Topics in Reproducing Kernels, Signal Analysis and Operator Theory.

Undergraduate: Calculus, Calculus for Business, Differential Equations, Linear Algebra, Finite

Mathematics, Advanced Calculus for Applications, Analysis I & II, Introduction to Proofs,

Numerical Algorithms, Numerical Linear Algebra, Intuitive Principles of Optimization and

Approximations (Special Topics Course funded by the Provost).

Courses Taught at the University of Central Florida:

Graduate: Inverse Problems, Hilbert Spaces and Applications, Integral Equations, Advanced Linear

Algebra with Applications, Applied Mathematics.

Undergraduate: Calculus I and II, Differential Equations, College Trigonometry.

Supervision of Students Research:

Ph.D. dissertation advisor to 9 Ph.D. students at the University of Delaware, Georgia Institute of

Technology, the University of Michigan, Washington University in St. Louis, University of Linz

(Austria) and the Technological University of Malaysia.

External examiner for several Ph.D. dissertations at other universities including McGill University,

The University of Melbourne (Austraila), IIT-Bombay, IIT-Madras, and Indian Institute of Science.

External examiner for several Ph.D. dissertations habilations at universities in Germany and

Austria.

Advisor of several master theses. Supervisor of several undergraduate research experiences for

students in mathematics, physics, and engineering. Member of over 30 Ph.D. dissertation

committees in mathematics, engineering, physics, operations research and economics.

Committee Service: Served as a member or chair of various departmental and college committees at the

University of Delaware, Georgia Tech, and other Institutions, including Undergraduate Committee,

Graduate Committee, Faculty Search Committee, Planning Committee, Executive Committee, P. &

T Committee, Library Committee, Committee on Minorities, Colloquium Committee,

Distinguished Lecturer Committee, Peer Review Committees, Chair Search Committee. Served as

a representative of the Mathematics Department in the University Faculty Senate.

Selected Sample of Professional Activities from the Academic Year 2001-2002:

Society for Industrial and applied Mathematics: SIAM Visiting Lecturer, Chair, SIAM Visiting

Lecturer Program, Award Committee for Graduate Student Papers, Organizer of mini-symposia on

The influence of functional analysis on applied and computational mathematics in the last 50

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years and The influence of functional analysis on the teaching of engineering mathematics: the

good things and the bad, SIAM 50th anniversary meeting (July 2002), member of the SIAM

Education Committee.

Invited Plenary Talks at International Conferences on Integral Methods in the Applied Sciences (France,

July 2002), Recent Advances in Computational Mathematics (Japan, October 2001), Inverse and

Ill-Posed Problems (Novosibirk, August 2002), Recent Trends in Science and Technology

(Lebanon, March 2002), Abstract and Applied Analysis (Vietnam, August 2002), Nonlinear

Functional Analysis and Applications (People s Republic of China, August 2002).

Co-chair, Organizing Committee of the International Conference on Abstract and Applied Analysis;

member of the Program Committee for the international conference on inverse and ill-posed

problems, in honor of the 70th birthday of M.A. Lavrentiev; member of the International Program

Committee for the Conference on Inverse Problems: Modeling and Simulation.. Member of the

Program Committee of the Conference Recent Advances in Computational Mathematics,

(Japan).

For a list of publications reviewed in the Mathematical Reviews, see MathSciNet. Conferences and

professional activities from 2003 on will be posted in Fall 2008.

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