Natural Blogarithms

Scott R. Franklin, Ph.D.

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Assistant Professor of Mathematics
Wayland Baptist University
1900 W. 7th St. #503
Plainview, TX 79072
Office: 806-291-1131
Mobile: 806-292-1249
Email: Scott.Franklin@wbu.edu

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Contents:

• Biographical Data
• Education
• Work Experience
• Teaching Experience
• Undergraduate Research Students Directed
• Current Research Interests
• Research Experience
• Professional Affiliations
• University Service
• Publications
• Presentations and Workshops

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Biographical Data

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Birthdate: August 21, 1976

Place of Birth: Dumas, TX

Citizenship: United States

Education

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Ph.D. in Mathematics, 2005
Texas Tech University
Specialization: Multi-field Finite Element Methods

M.S. in Applied Mathematics, 2000
Texas Tech University

Bachelor of Science in Mathematics, 1998
Wayland Baptist University

Bachelor of Arts in Religion, 1998
Wayland Baptist University

Work Experience

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Assistant Professor of Mathematics
Division of Mathematics and Sciences
Wayland Baptist University, Plainview, TX
August, 2000 – present.
(Promoted from rank of Instructor in August, 2003)

Post-Doctoral Research
Division of Chemistry, under direction of Dr. William Hase
Texas Tech University, Lubbock, TX
Summer, 2005

Research Assistant
High Performance Computing Center
Texas Tech University, Lubbock, TX
1999 – 2000; Summer, 2001; Summer, 2002; Summer, 2003.

Teaching Assistant
Department of Mathematics and Statistics
Texas Tech University, Lubbock, TX
1998 – 1999.

Website Designer
TexasOnline, Plainview, TX
1997 – 1998.

Teaching Experience

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Wayland Baptist University
Assistant Professor of Mathematics
Undergraduate Research Projects (see below for details), Differential Equations, Calculus (I – IV), Intermediate Analysis, Numerical Analysis, Cryptography, Linear Algebra, Elementary Statistics, College Algebra

Texas Tech University
Teaching Assistant
Introduction to Mathematical Analysis, Remedial Mathematics Courses

Undergraduate Research Students Directed

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Joel O’Hair
Wayland Baptist University
August, 2004 – present
Topic: Optimal Portfolio Theory

Sean McVey
Wayland Baptist University
August 2003 – May 2005
Thesis: “Weighting Control Nets of Tensor Product Splines to Enhance Computer Generated Images (CGI)”

Christopher Gonce
Wayland Baptist University
August 2003 – May 2005
Thesis: “Parameterization Techniques for Improving Scattered Data Approximation”

Current Research Interests

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Multi-field finite element methods for domain decomposition
Data fitting using spline methods
Stochastic differential equations (partial and ordinary)
Modeling of molecular vibrations

Research Experience

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Molecular Vibrations
Post-Doctoral Research under the direction of Dr. William Hase
• Study and model molecular motions (vibration/rotation)
• Isolate energies related to each type of motion
• Implement in high performance computing environment

Multi-Field Finite Element Methods
Doctoral Dissertation
• Studied and implemented three-field domain decomposition methods for the finite element method
• Applied domain decomposition to stochastic partial differential equations and parabolic (time-dependent) models
• Implemented method in parallel on high performance computing systems (i.e., a shared-memory multi-processor, distributed-memory clusters, computational grid system)

SBCCOM (Soldier and Biological Chemical Command)
Research Assistant
• Developed real-time model of contaminant dispersal in virtual environments
• Developed visualization techniques, using 3D simulation environments, for the dispersal of a chemical/biological agent in real-time.
• Implemented an interactive virtual simulation of the dispersal of such an agent with a dynamic model configuration.

Data Fitting using Spline Methods
Research Assistant and Post Doctoral
• Developed and implemented variable knot spline approximation using least squares, utilizing high performance computing systems.
• Studied and implemented the parametric approximation of multi-dimensional data using orthogonal distance regression (ODR) splines (univariate and bivariate)
• Developed 3D surface visualization software for use in a virtual reality theatre
• Compared standard ODR spline methods using various initial parameterization methods and with various weight distributions for Non-Uniform Rational B-Splines (NURBS).
• Implemented and compared spline methods using various parallel sparse matrix solvers.

High Performance Computing
Research Assistant and Post Doctoral
• Experience with each of the following programming languages and resources:
C, C++, FORTRAN, Java, Matlab, Maple, VBScript, JavaScript, HTML, XML, ASP (Active Server Pages), UNIX shell programming, MPI, OpenMP, Avaki Grid, OpenGL.
• Implemented and benchmarked various parallel sparse matrix solvers including MUMPS, SuperLU, UMFPACK, and DPSLDLT/DPSLDU (SGI-native solvers).
• Utilized MPI and OpenMP for parallelization of code.
• Implemented 3D visual models in OpenGL for interactive simulations.
• Demonstrated the 3D visual capabilities of the virtual reality theatre at the High Performance Computing Center of Texas Tech University for various tour groups and VIPs.
• Implemented various projects in a computational grid environment (TechGrid) over various architectures utilizing any of over 500 PCs, two Beowulf clusters and a shared memory multiprocessor.

Professional Affiliations

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Mathematical Association of America (MAA)

American Mathematical Society (AMS)

The Consortium for Mathematics and its Applications (COMAP)

Association of Texas Professional Educators (ATPE)

University Service

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Chair, Academic Standards Committee,
Wayland Baptist University (2005 – present)

Director, Moody Science Computer Lab,
Wayland Baptist University (2003 – present)

Website Designer/Contributor, Division of Math and Sciences,
Wayland Baptist University (2000 – present)

Member, Website Task Force,
Wayland Baptist University, (2005 – present)

Member, Technology Committee,
Wayland Baptist University (2004 – present)

Member, Academic Standards Committee,
Wayland Baptist University (2004 – present)

Secretary, Faculty Assembly,
Wayland Baptist University (2003 – 2004)

Secretary, Executive Committee,
Wayland Baptist University (2003 – 2004)

Member, Scholarship and Financial Aid Committee,
Wayland Baptist University (2000 – 2002)

Member, Athletics Committee,
Wayland Baptist University (2000 – 2002)

Publications

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Journal Publications
• Franklin, Scott R.; Seshaiyer, Padmanabhan; and Smith, Philip W. “A three-field finite element method for elliptic partial differential equations driven by stochastic loads.” Stochastic Analysis and Application. (2005)

• Franklin, Scott R.; Seshaiyer, Padmanabhan; and Smith, Philip W. “A computational methodology to study coupled physical processes over partitioned domains.” Applied Mathematical Modelling. Accepted, (2005).

Conference Proceedings
• Franklin, Scott R.; Seshaiyer, Padmanabhan; and Smith, Philip W. “On the parallel implementation of the three-field finite element method for coupled parabolic systems.” Proceedings of the Joint DCABES and ICPACE meeting on distributed algorithms for science and engineering, (2005).

• Franklin, Scott R.; Seshaiyer, Padmanabhan; Perez, Jerry; and Smith, Philip W. “A grid implementation for domain decomposition in solving stochastic partial differential equations.” Proceedings of CE2005. (2005).

• Franklin, Scott R.; Seshaiyer, Padmanabhan; and Smith, Philip W. “A computational methodology to study coupled physical processes over partitioned domains.” Proceedings of the International Conference on Computing, Communications, and Control Technologies (CCCT-2004), Austin, TX, (August 14-17, 2004).

Dissertations/Theses
• “A computational three-field methodology for non-conforming finite elements over partitioned domains”. Doctoral Dissertation, Texas Tech University, Lubbock, TX. (2005).

• “Parametric approximation of data using orthogonal distance regression splines.” Master’s Thesis, Texas Tech University, Lubbock, TX, (2000).

Presentations and Workshops

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• Workshop Presentation: “DVDs and Toilet Paper.” Panhandle Area Mathematics and Science Conference, West Texas A&M University, Canyon, TX, September, 2005.

• Conference Presentation: “On the parallel implementation of the three-field finite element method for coupled parabolic systems.” The Joint DCABES and ICPACE meeting on distributed algorithms for science and engineering, University of Greenwich, London, UK, August 25 – 27, 2005.

• Conference Presentation: “A grid implementation for domain decomposition in solving stochastic partial differential equations.” CE2005: The 12th ISPE International Conference on Concurrent Engineering: Research and Applications, Ft. Worth, TX, July 25 – 27, 2005.

• Invited Presentation: “A three-field finite element method for elliptic partial differential equations driven by stochastic loads.” Special Session on Theory and Application of Stochastic Differential Equations, AMS Sectional Meeting, Lubbock, TX, April 8 – 10, 2005.

• Presentation: “On an implementation of a three-field finite element method for parabolic PDEs.” Graduate Student Research Day, Texas Tech University, Lubbock TX, March 29, 2005.

• Seminar: “A three field finite element method for stochastic PDEs.” Applied Mathematics and Bio-mathematics Seminar, Texas Tech University, Lubbock, TX, March 1, 2005.

• Workshop Presentation: “Highway Slope Design.” Panhandle Area Mathematics and Science Conference, West Texas A&M University, Canyon, TX, September, 2004.

• Presentation: “A computational methodology to study coupled physical processes over partitioned domains.” CCCT 2004: International Conference on Computing, Communications, and Control Technologies, Austin, TX, August 14-17, 2004.

• Presentation: “Real-Time Contaminant Dispersal Modeling with ContamW 2.0 and EON Studio.” SC2003, Phoenix, AZ, November 18, 2003.

• Seminar: “Minimizing Mathematical Effort with Maple.” Wayland Baptist University, Plainview, TX, Fall 2002.

• Workshop Presentation: “Sorting Techniques and Queuing Theory.” Panhandle Area Mathematics and Science Conference, West Texas A&M University, Canyon, TX, September, 2001.

• Workshop Presentation: “A (very brief) Introduction to Maple.” Professional Development, Wayland Baptist University, Plainview, TX, August 2001.

• Seminar: “Parametric Approximation of Data using Orthogonal Distance Regression Splines.” Applied Mathematics Seminar, Texas Tech University, Lubbock, TX, Spring 2001.

• Workshop Presentation: “Introduction to Graph Theory.” Panhandle Area Mathematics and Science Conference, West Texas A&M University, Canyon, TX, September, 2000.

• Lecture: “An Introduction to OpenMP.” Parallel Computing Class, Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, Spring 2000.

• Workshop: “Using Visual Studio for C and C++ Projects.” High Performance Computing Center, Texas Tech University, Lubbock, TX, 1999.