Shirley Pomeranz, PhD
Research Interests
Boundary Element Methods and Finite Element Methods
Numerical Methods
Teaching Interests
Boundary Element Method
Numerical Methods for Partial Differential Equations
Numerical Methods
Differential, Integral, and Multivariate Calculus
Publications
Journal Articles

MoralesM., and PomeranzS. Boundary Element Method for the Dirichlet Problem for Laplace’s Equation on a Disk. The Mathematica Journal/Wolfram Research, 2021.

Pomeranz, Shirley. “Aitken’s DeltaSquared Method Extended.” Cogent Mathematics Journal 4.1 (2017): Article: 1308622. Print.

Pomeranz, Shirley, and William Hamill. “Dual Reciprocity versus Bessel Function Fundamental Solution Boundary Element Methods for the Plane Strain Deformation of a Thin Plate on an Elastic Foundation.” Engineering Analysis with Boundary Elements 41 (2014): 37–46. Print.

Dual Reciprocity Versus Bessel Function Fundamental Solution Boundary Element Methods for the Plane Strain Deformation of a Thin Plate on an Elastic Foundation. Vol. 41, Engineering Analysis with Boundary Elements, 2014, pp. 3746.

Pomeranz, Shirley. “Richardson Extrapolation Applied to Boundary Element Method Results in a Dirichlet Problem for the Laplace Equation.” International Journal of Computer Mathematics 88.11 (2011): 2306–2330. Print.

The Dirichlet Problem for a Plate on an Elastic Foundation. Vol. 30, Libertas Math., 2010, pp. 81–84.

Interdisciplinary Lively Application Projects in Calculus Courses. Vol. 8, Journal of STEM Education (JSTEM), 2007, pp. 5062.

Iterative Solution of a Singular ConvectionDiffusion Perturbation Problem. Vol. 56, ZAMP, The Journal of Applied Mathematics & Physics, 2005, pp. 89007.

PomeranzS. Instructional Techniques in Freshman and Sophomore Math Courses. Vol. 61, The Mathematical Association of America Notes: Changing Core Mathematics, 2002, pp. 1559.

PomeranzS. Using a Computer Algebra System to Teach the Finite Element Method. Vol. 16, International Journal of Engineering Education, 2000, pp. 3628.

PomeranzS. Guest Editorial: Mathematics Education of Engineers. Vol. 15, International Journal of Engineering Education (IJEE), 1999, p. 401.

PomeranzS., KirkA., and BakerW. An Asymptotically Exact Finite Element Error Estimator Based on C1 Stress Recovery. Vol. 154, Computer Methods in Applied Mechanics and Engineering, 1998, pp. 3192.

PomeranzS. A Posteriori Finite Element Method Error Estimates for Fourth Order Problems. Vol. 11, Communications in Numerical Methods in Engineering, 1995, pp. 21326.

PomeranzS., and TullT. Construction of Some Iterative Methods for Solving Boundary Element Linear Systems. Vol. 16, Applied Numerical Mathematics, 1995, pp. 36981.

PomeranzS. A Solitary Wave Application of an Iterative Method for Nonlinear Elliptic Eigenvalue Problems. Vol. 23, Computers & Mathematics with Applications, 1992, pp. 4549.

PomeranzS. Investigation of Some Features and Capabilities of the COSMOS/M Finite Element Package. NASAASEE CaseOAILewis Summer Faculty Fellowship Program 1992 Final Report, 1992, pp. 1045.

PomeranzS. Construction of Some Iterative Methods for Solving Boundary Element Linear Systems. NASAASEE CaseLewis Summer Faculty Fellowship Program 1991 Final Report, 1991, pp. 1101.

Computational Methods for Nonlinear Elliptic Eigenvalue Problems. Vol. 21, Computers& Mathematics with Applications, 1991, pp. 920.

PomeranzS. Computational Methods for Nonlinear Elliptic Eigenvalue Problems. Vol. 21, Computers& Mathematics with Applications, 1991, pp. 920.

PomeranzS. Using ANSYS to Solve General Boundary Value Problems in a Numerical Methods Course. Vol. 1, CoED Journal: Computers in Education Division of ASEE Journal, 1991, pp. 4650.

PomeranzS. Applications of QuasiNewton Methods and Iterative Methods in the NESSUS Finite Element Code. NASAASEE CaseLewis Summer Faculty Fellowship Program 1990 Final Report, 1990, pp. 1223.

GeacintovN., BensonR., and PomeranzS. Interaction of Triplets of Aromatic Hydrocarbons With Oxygen and Nitric Oxide. Vol. 17, Chemical Physics Letters, 1972, pp. 2802.
Conference Proceedings

My Fifty Years of Calculus. ASEE: 2017 American Society for Engineering Education Annual Conference Proceedings, 2017.

Pomeranz, Shirley. “A Note on Transforming a Plane Strain First Kind Fredholm Integral Equation into an Equivalent Second Kind Equation.” The Thirteenth International Conference on Integral Methods in Science and Engineering (IMSE 2014) Proceedings, 2015. 483–493. Print.

Pomeranz, Shirley. “Tradeoffs in Using Mathematica Templates in an Introductory Numerical Methods Course.” 2013 American Society for Engineering Education Annual Conference Proceedings, 2013. Print.

Pomeranz, Shirley. “Error Estimation Using Richardson Extrapolation with Boundary Element Method Results in a Dirichlet Problem for the Laplace Equation.” The Eleventh International Conference on Integral Methods in Science and Engineering (IMSE 2010) Proceedings, 2011. 326–338. Print.

PomeranzS. Richardson Extrapolation Applied to the Numerical Solution of Boundary Integral Equations for a Laplace’s Equation Dirichlet Problem. 2008 ASEE Midwest Section Annual Conference Proceedings, 2008.

“On a Boundary Value Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation”. Proceedings of the Thirteenth International Symposium on Methods of Discrete Singularities in Problems of Mathematical Physics, Khar’kovKherson, 2007, pp. 358–361.

The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation. The Ninth International Conference on Integral Methods in Science and Engineering (IMSE 2006) Proceedings, 2007, pp. 8388.

Enhancing Interdisciplinary Interactions in the College of Engineering and Natural Sciences. 2006 American Society for Engineering Education Annual Conference Proceedings, 2006.

A Contact Problem for a Convection Diffusion Equation. The Eighth International Conference on Integral Methods in Science and Engineering (IMSE 2004) Proceedings, 2005, pp. 23544.

Enhancing Interdisciplinary Interactions in the College of Engineering and Natural Sciences: Year 1. 2005 American Society for Engineering Education Annual Conference Proceedings, 2005.

FarriorD., CairnsT., and PomeranzS. Experiences from the Tulsa Mathematics Equity Academy. 2003 American Society for Engineering Education Annual Conference Proceedings, 2003.

PomeranzS. Using Maple to Learn Mathematica. 2002 American Society for Engineering Education Annual Conference Proceedings, 2002.

PomeranzS. “Major Issues and Future Directions of Undergraduate Mathematics: Instructional Techniques in Freshman and Sophomore Math Courses”. Proceedings of the Interdisciplinary Workshop on Core Mathematics: Considering Change in the First Two Years of Undergraduate Mathematics, Nov. 47,1999, United States Military Academy, 1999, pp. 20914.

PomeranzS. Using Mathematica in a Graduate Numerical Methods Course. 1999 American Society for Engineering Education Annual Conference Proceedings, 1999.

PomeranzS. Some Observations for Teaching mathematics/physics/Mechanics. 1998 American Society for Engineering Education Annual Conference Proceedings, 1998.

PomeranzS. Using CAS in a Graduate Numerical Methods Course. 1996 American Society for Engineering Education Annual Conference Proceedings, 1996.

PomeranzS., and KirkA. “An Asymptotically Exact Finite Element Error Estimator for Planar Linear Elasticity Problems”. Proceedings: Eleventh Annual Conference on Applied Mathematics, Feb. 1011, 1995, University of Central Oklahoma, 1995, pp. 17488.

PomeranzS. An Application of an Iterative Method for Nonlinear Elliptic Eigenvalue Problems. Proceedings of the Workshop in Applied Computing ‘89 (in cooperation with IEEE and ACM), 1989, pp. 6264.
Books

Instructor’s Technology Resources and Solutions Guide; Student’s Technology Resources and Solutions Guide (Mathematica Solutions Manuals and CDROMs (also Web Sites) to Accompany Text, Advanced Engineering Mathematics, by Robert Lopez). Pearson/Addison Wesley Publishers, 2002.
Book Reviews

PomeranzS. Review of the Book, The Nature of Mathematical Modeling, by Neil Gershenfeld. Vol. 107, MAA Journal, The American Mathematical Monthly, 2000, pp. 7636.
Courses Taught
 Master's Report
 Calculus III
 Numerical Differential Equations
 Introduction to Numerical Methods
Professional Affiliations
 Mathematical Association of America
 Society for Industrial and Applied Mathematics
 American Mathematical Society
 American Society for Engineering Education
 Association for Women in Mathematics
Awards & Honors
 NASAASEECaseOhio Aerospace InstituteLewis Summer Faculty Fellowship Program
 Editorial Advisory Board Member
 The University of Tulsa, Tau Beta Pi Teacher of the Month
 ASEE Mathematics Division Distinguished Educator and Service Award – 2005
 NASA JOVE Program, NASA Langley Research Center
 The University of Tulsa College of Engineering and Natural Sciences Kermit E. Brown Award for Teaching Excellence
 ASEE National Board of Directors Member and Professional Interest Council (PIC) III Chair