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Roman I Andrushkiw

Contact Info
Title: Professor
Email: andrushkiw@njit.edu
Office: CULM 207B
T,R 11:30am-12:30pm
F 2:30pm-3:30pm
Phone: 1-973-596-3487
Dept: Mathematical Sciences
Webpage: http://web.njit.edu/~andrushk

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About Me

ACADEMIC

  • Professor, Mathematical Sciences Dept., NJIT, 1984 - present
  • Associate Professor, Mathematical Sciences Dept., NJIT, 1978 - 1984
  • Assistant Professor, Mathematics Dept., Newark College of Engineering, 1970 - 1978
  • Instructor, Mathematics Dept., Newark College of Engineering, 1968 - 1970
  • Research Assistant, Mathematics Dept., The University of Chicago, 1966 - 1968
  • Instructor, Mathematics Dept., Newark College of Engineering, 1964 - 1966

INDUSTRIAL

  • Sen. Elec. Engineer, Weston Instruments & Electronics Co., 1962-64
  • Elec. Engineer, Weston INstruments & Electronics Co., 1959-62
  • Numer. Data Analyst, Union Carbide Corp., Linde Air Products Co., 1957

CONSULTING

  • Bendix Corporation, Teterborough, NJ, 1981-1982.
  • E.T. Killam Associates, Millburn, NJ, 1980-1981.

 

PROFESSIONAL ACTIVITIES

  • Associate Editor, Proceedings METMBS´03
  • Organizer and Chair, Technical Session #7, International Conference on Mathematics and Enginering Techniques in Medicine and Biological Sciences (METMBS´02), Las Vegas, 2002.
  • Associate Editor, Proceedings METMBS´02
  • Chair, Dean´s Search Committee, College of Science and Liberal Arts, New Jersey Institute of Technology, 1990 - 1992.
  • Chair, Special Session on Computational Mathemtics and Applications, 834th Meeting of the American Mathematical Society, Newark, 1987.
  • Chair, Special Session on Mathematical Modeling in Geophysics, 11th IMACS Congress on System Simulation and Scientific Computing, Oslo, Norway, 1985.
  • Chair, Mathematical Sciences Sect., Shevchenko Sci. Soc., (1987 - ), V.P. (1993 - ).
  • Reviewer for Mathematical Reviews, Bulletin of the AMS, and contributor to Zentralblatt fur Matematik and other journals.

Education

  • PhD, Mathematics, Stevens Institute of Technology
  • MS, Mathematics, The University of Chicago
  • MS, Electrical Engineering, Newark College of Engineering
  • BE, Engineering, Stevens Institute of Technology

Conferences

  • GrantInternational Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS ´03), Las Vegas, 2003.
  • Fourth International Conference on Dynamical Systems and Applications, IFNA, Atlanta, 2003.
  • International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS ´02), Las Vegas, 2002.
  • International Conference on Nonlinear Partial Differential Equations, Institute of Mathematics Nat. Ac. Sci. Ukraine, Kyiv, 2001.
  • International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS´01), Las Vegas, 2001.
  • The Third World Congress of Nonlinear Analysts, Catania, 2000.
  • XIII Summer School on Biometrics, Cikhaj, Czech Republic, 1999.
  • Second International Conference on Symmetry in Nonlinear Mathematical Physics, Kyiv, 1997.
  • International Conference on Applied Statistics in Medical Sciences, Ankara, 1997.
  • Second World Congress of Nonlinear Analysts, IFNA, Athens, 1996.
  • International Conference on Symmetry in Nonlinear Mathematical Physics, Kyiv, 1995.
  • 14th IMACS World Congress on Computational and Applied Mathematics, Atlanta, 1994.

Grants and Awards

  • METMBS´03, Achievement Award, 2003.
  • National Research Council of the National Academy of Sciences (two grants) to conduct joint research in applied mathematics with scientists from the former Soviet Union under the Cooperation in Applied Science and Technology (CAST) program, 1993-94.
  • NRC/NAS Supplementary grant, CAST Program, 1995.
  • NAFSA grant under the REAP Program, 1/1/95 - 6/1/95.
  • Embassy of Ukraine in USA award for contributions to the strengthening of scientific ties between Ukraine and the United States, 1998.
  • IMACS award for contributions to the scientific program and organization of the 11th World Congress on System Simulation and Scientific Computing, Oslo, 1985.
  • NSF award for college teachers of mathematics, 1966.
  • Union Carbide Corporation Scholar, 1955-59.

Affiliations

  • Center for Applied Mathematics and Statistics, International Federation of Nonlinear Analysts, International Association for Mathematics and Computers in Simulation, Shevchenko Scientific Society.

Courses I Teach

MATH 222
DIFFERENTIAL EQUATIONS

Current Classes

  •  MATH 222 - 010: DIFFERENTIAL EQUATIONS, M,F 2:30 - 3:55 FMH 203, W 1 - 2:25 FMH 314.
    • Syllabus and Policy - see Math Department website.
    • Office Hours: M,F 1 - 2 PM, W 12 - 1 PM, Cullimore 207B. 
  •  MATH 138 - 002: GEN. CALCULUS, M 10 - 11:25 FMH 207, W 10 - 11:25 FMH 308
    • Syllabus and Policy - see Math Department website.
    • Office Hours: M, F 1 - 2 PM, W 12 - 1 PM, Cullimore 207B.

 

Courses Taught



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Research Interests

  • Spectral theory and eigenvalue approximation of operator-valued functions
  • Pattern recognition methods in medical diagnostics
  • Integrable dynamical systems
  • Free boundary problems
  • Mathematical modeling in biophysics

Selected Publications

  • Stratification of General Population and its Application in the Analysis of Resistant Tumor Cells (with D.A. Klyushin, Yu.I. Petunin, A. German, M. Savkina) Proc. International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences: 490-494 (2003).  
  • Analysis of Malignancy-Associated DNA Changes in the Nuclei of Buccal Epithelium in the Pathology of the Thyroid and Mammary Glands (with Klyushin, Petunin, Boroday, Ganina), Annals N.Y. Acad. Sciences, v. 980, 1-12, 2002.
  • Diagnosis of Breast cancer by the Modified Nearest Neighbor Recognition Method (with Klyushin, Petunin, Lysyuk, Boroday), Proc. Intl. Conf. on Math and Eng. Techniques in Medicine and Biological Sciences, v.1, 176-189, 2002.  
  • A Variational Method for Eigenvalue Problems Nonlinearly Dependent on the Spectral Parameter (with Slastikov), Nonlinear Analysis, v.47, 3561-3566, 2001.  
  • Computer-Aided Diagnosis of Breast Cancer and Fibroadenomatosis Based on Malignancy Associated Changes in Buccal Epithelium (with Petunin, Klyushin, Ganina, Boroday), Automedica, v.19, No. 3-4, 135-164, 2001  
  • Retrospective Linear Regression Analysis of Survival Data for Patients Suffering from Malignant Melanoma (with Petunin, Klyushin, Naleskina), Applied Statistical Sciences IV, M. Ahnsanullah (ed.), Nova Science Publ., 139-158, 1999.  
  • Mathematical Background of the Computer-Aided Method of Diagnosis of Cancer based on the Analysis of Malignancy Associated Changes in Buccal Epithelium (with Petunin, Klyushin, Savkina), Proc. XIII Summer School on Biometrics, 203-215, 1998.
  • Higher Symmetries of the Wave Equation with Scalar and Vector Potentials (with Nikitin), Proc. Second International Conference on Symnmetry in Nonlinear Mathematical Physics, v.2, 321-327, 1997. 
  • Nonlinear Algorithm of Pattern Recognition (with Petunin, Klyushin), Nonlinear Analysis, v.30, 5431-5436, 1997.
  • On the Spectral Theory of Operator Pencils in a Hilbert Space, J. Nonlinear Mathematical Physics, v.2, 356-365, 1995.
  • Geometric Quantization of Neuman-type Completely Integratable Hamiltonian Systems, J. Mathematical Physics (with Mykytiuk, Prykarpatsky, Samoilenko), v.35, 1532-1548, 1994.
  • Algebraic Structure of the Gradient-Holonomic Algorithm for Lax-integrable Nonlinear Dynamica Systems (part II), (with Prykarpatsky, Samoilenko, Mitropolsky, Prytula), J. Mathematical Physics, v.35, 2237-2265, 1994.
  • Algebraic Structure of the Gradient-Holonomic Algorithm for Lax-integrable Nonlinear Dynamica Systems (part I), (with Prykarpatsky, Samoilenko), J. Mathematical Physics, v.35, 1763-1777, 1994.
  • Two Boundary Model for Freezing Processes in Living Tissue (with Gafiychuk, Lubashevskii), Proc. 14th IMACS World Congress on Computational and Applied Mathematcis, v.2, 546-548, 1994.
  • Iterative Method for a Class of Nonlinear Eigenvalue Problems, Applicable Analysis, v.51, 211-220, 1993.
  • A Trace Identity and Its Application to Integrable Systems of 1+2 Dimensions (with Tue, Huang), J. Mathematical Physics, v.32, 392-396, 1991.  
  • Mathematical Modeling of Freezing Front Propagation in Biological Tissue, Mathematical and Computer Modeling, v.13, 1-9, 1990

Book Review

  • Bulletin of the American Mathematical Society, 221-228, July 1991. /V.M. Filippov, Variational Principles for Nonpotential Operators, Transl. Mathematical Monographs, American Mathematical Society, v.77, American Mathematical Society/.

     

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Date of last update: 10/10/2008 16:32:58