Department of Mathematics and Philosophy

Fedor Andreev

Fedor Andreev, Professor

Specializing in Applied Mathematics

Education

Ph.D., St. Petersburg Steklov Mathematical Institute
B.S., St. Petersburg State University

Contact Information

Office: 484 Morgan Hall 484
Phone: (309) 298-2362
Email: F-Andreev@wiu.edu
Website

Courses Taught

  • Math 100: Core Competency in Mathematics
  • Math 123: Modeling with Mathematical Functions
  • Math 137: Applied Calculus I
  • Math 391: Writing in the Mathematical Sciences
  • Math 407: Number Theory Concepts in School Mathematics
  • Math 411: Geometry
  • Math 433: Complex Variables and Applications
  • Math 481: Numerical Analysis I
  • Math 552: Scientific Computing
  • Math 652: Computational Differential Equations
  • Math 699: Advanced Special Topics

Research Interests

  • Scientific computing with GPU (DirectX, DirectCompute, OpenGL/OpenCL)
  • Polynomiography (see www.polynomiography.com)
  • Fractals and fractal visualization; Schottky groups
  • Integrable systems and differential equations in complex plane
  • Painlevé equations

Apps Published

Selected Publications

  • Kalantari, B., Andreev, F., Lau, C.,(2021). Characterization of local optima of polynomial modulus over a disc. Numerical Algorithms, https://doi.org/10.1007/s11075-021-01208-4.
  • Fedor V. Andreev, Alexander V. Kitaev. (2020). Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis: I. Applied Studies in Mathematics, https://doi.org/10.1111/sapm.12323.
  • Andreev, F. & Kalantari, I. (2012). Collinearity of iterations and real plane algebraic curves. Voronoi Diagrams in Science and Engineering (ISVD), p. 126-131.
  • Andreev, F. (2006). Direct computation of the monodromy data for P6 corresponding to the quantum colohomology of the projective plane. Houston Journal of Mathematics, Vol. 32, No. 1, p. 59-77.
  • Andreev, F., Kalantari, B., & Kalantari, I. (2004). Animation of mathematical concepts using polynomiography. Proceeding SIGGRAPH '04, ACM SIGGRAPH, Educators program, p. 27. (http://dl.acm.org/citation.cfm?id=1186138)
  • Andreev, F., Auckly, D., Gosavi, S., Kapitanski, L., White, W., & Kelkar, A. (2002). Matching, linear systems, and the ball and beam. Automatica, Volume 38, Issue 12, p. 2147-2152.
  • Andreev, F., & Kitaev, A. (2000). Connection formulas for asymptotics of the fifth Painlevé transcendent on the real axis. Nonlinearity, 13, p. 1801-1840.

Presentations

  • Workshop: From Continuous to Fractal: Exploring and Root Finding, at a DIMACS International Workshop on Algorithmic Mathematical Art: Special Cases and Their Applications, Rutgers University, NJ, May, 2009. Abstract available at: http://dimacs.rutgers.edu/Workshops/MathArt/abstracts.html#andreev. Entire presentation is available on Rutgers' channel on YouTube: http://www.youtube.com/watch?v=wtgJpZiMVVo.
  • Presentation: Quadratics over Quaternions and Their Fractal Visualization, at the ISMAA (Illinois Section of the Mathematical Association of America) meeting at North Central College, Naperville, IL, 2011.
  • Presentation: Visualizing Mobius Transformations and Plane Tilings, at the ISMAA (Illinois Section of the Mathematical Association of America) meeting at Knox College, Galesburg, IL, 2005.