Office Hours

  • MWF 1:00 - 2:00 pm or by appointment
 

interests

 

Benjamin Esham

Associate Professor of

Mathematics

South 330B
1 College Circle
Geneseo, NY 14454
585-245-5478
esham@geneseo.edu

Benjamin Esham has been a member of the Geneseo faculty since 1989.

Faculty Information

Education

  • B.A., B.S., M.A., Ph.D., University of Delaware

Research Interests

Differential Equations and Numerical Analysis

Publications and Professional Activities

  • B.F. Esham, Jr. and Richard J. Weinacht, Limitations of the Coupled/Quasi-Static Approximation in Multi-Dimensional Linear Thermoelasticity, Applicable Analysis, 1999, Vol. 73(1-2), pp.77-87.
  • R.J. Weinacht and B.F. Esham, Jr., Energy Estimates in Thermoelasticity (259-268), in Non-linear Problems in Applied Mathematics (in honor of Ivar Stakgold on his 70th Birthday), Edited by T.S. Angell, L. Pamela Cook, R.E. Kleinman and W.E. Olmstead, SIAM, Philadelphia, 1996.
  • Benjamin F. Esham, Jr., A Singularly Perturbed Second Order Evolution Equation with Nonlocal Nonlinearity, Numerical Functional Analysis and Optimization, 1987, Vol 9, pp. 969-986.
  • Esham, Benjamin F., Jr. and Yanik, Elizabeth Greenwell, Galerkin Methods for a Singularly Perturbed Hyperbolic Problem with Nonlocal Nonlinearity. Comput. Math. Appl. 22 (1991), no. 2, pp. 1–22.
  • Esham, B. F. and Weinacht, R. J., Singular Perturbations and the Coupled/quasi-static Approximation in Linear Thermoelasticity. SIAM J. Math. Anal. 25 (1994), no. 6, 1521–1536
  • Esham, B. F., Jr. and Weinacht, R. J., Boundary Conditions for Viscoelastic Flows. Rend. Mat. Appl. (7) 10 (1990), no. 3, 623–632.
  • Esham, Benjamin F., Jr., A Hyperbolic Singular Perturbation of Burgers' Equation, Math. Methods Appl. Sci. 12 (1990), no. 1, 77–90.
  • Esham, Benjamin F., Jr. and Weinacht, Richard J., Hyperbolic-Parabolic Singular Perturbations for Quasilinear Equations. SIAM J. Math. Anal. 20 (1989), no. 6, 1344–1365.
  • Esham, B. F., Jr. and Weinacht, R. J., Hyperbolic-Parabolic Singular Perturbations for Scalar Nonlinearities. Appl. Anal. 29 (1988), no. 1-2, 19–44.
  • Esham, Benjamin F., Jr. Asymptotics and an asymptotic Galerkin method for hyperbolic-parabolic singular perturbation problems. SIAM J. Math. Anal. 18 (1987), no. 3, 762–776.
My Classes

Math 222:
Calculus II

    Derivatives and antiderivatives of the transcendental functions, methods of integration, applications of definite integrals, sequences, improper integrals, and series. Prerequisites: MATH 221. Offered every semester

Math 233:
Linear Algebra I

    Study of matrices, matrix operations, and systems of linear equations, with an introduction to vector spaces and linear transformations. Elementary applications of linear algebra are included. Prerequisites: MATH 213 or MATH 221 or permission of instructor. Offered every semester

Math 345:
Numerical Analysis I

    This course provides an introduction to numerical methods and the analysis of these methods. Topics include floating point arithmetic, error analysis, solution of non-linear equations, interpolation and approximation, numerical differentiation and integration, and the solution of linear systems.Prerequisites: MATH 222, MATH 233, MATH 239 or permission of the instructor, and MATH 230. Offered every fall