Vita

John M. Neuberger's Vita

PhD: The University of North Texas, August 1995.
Emphasis: PDEs, Nonlinear Functional Analysis, and Numerical Analysis.
Advisor: Alfonso Castro.
Dissertation: Existence of a Sign-Changing Solution to a Superlinear Dirichlet Problem.
MS: Colorado State University, August 1986.
Emphasis: Parabolic PDEs and Numerical Solutions.
Thesis: An Inverse Problem for Determining Fluid Flow in Porous Media.
BS: The University of North Texas, August 1984.
Major: Mathematics. Minor: Physics.

Northern Arizona University: Assistant Professor (Fall 1997 to date),
Instruct Calculus I - III, Graduate and Undergraduate Numerical Analysis, Foundations of Mathematics, Real Analysis, Differential Equations.
Mississippi State University: Assistant Professor (Summer 1995 to Summer 1997),
Instructed Calculus I - IV, Linear Algebra, and Differential Equations.
University of North Texas: Teaching Assistant (1990 - 1995),
Instructed Algebra, Calculus, Elementary Set Theory, Logic, and Statistics.
Upward Bound Math and Science: Instructor (summers 1994, 1995),
Designed and taught advanced courses for gifted high school students.
Colorado State University: Teaching Assistant (1984 - 1986),
Instructed Calculus I and II.
E-Systems, Garland, TX: Software Engineer (1986-1990)
Maintained 100k lines of real-time signal processing code.
Delivered, installed, and debugged above 5 year project.
Involved in proposal, design, coding and testing phases of an interactive
information processing software project.
Developed library of mathematics routines.

**Publications**
#	Title	Publication
1	A Sign-Changing Solution to a Superlinear Boundary Value Problem, with A. Castro and J. Cossio.	Rocky Mnt. J. Math., Vol 27 No. 4, Fall 1997.
2	Existence of a Sign-Changing Solution to a Superlinear Dirichlet Problem.	Thesis:The University of North Texas, 1995.
3	A Numerical Method for Finding Sign-Changing Solutions of Superlinear Dirichlet Problems.	Nonlinear World 4 pp. 73-84, 1997.
4	On Multiple Solutions of a Nonlinear Dirichlet Problem, with A. Castro and J. Cossio.	Proceedings of the Nonlinear World Congress, 1997.
5	A Sign-Changing Solution for a Superlinear Dirichlet Problem With a Reaction Term Nonzero at Zero.	Nonlinear Analysis 33 pp. 427-441, 1998.
6	Applications of a Minmax Principle to the Existence of Sign-Changing Solutions to Elliptic BVPs, with A. Castro and J. Cossio.	Elect. J. of DE 1998.
7	Section in text Sobolev Gradients and Differential Equations, by John W. Neuberger.	Lecture Notes in Mathematics Springer 1998.
8	A Numerical Investigation of Sign-Changing Solutions to Superlinear Elliptic Equations on Symmetric Domains, with David G. Costa and Zhonghai Ding.	Submitted to SIAM J. Scientific Computing, 1999.
9	Newton's Method and Morse Index for Semilinear Elliptic PDEs, with James W. Swift.	(Work in Progress) (1999)
10	A Sign-Changing Solution for a Superlinear Dirichlet Problem, II, with Alfonso Castro.	(Work in Progress) (1999)

**Works Refereed/Edited**
#	Subject/Title	Publication
1	Elliptic PDEs	Elec. J. DE Spring 1999.
2	Numerical Analysis, Burden & Faires (Text).	Brooks/Cole Summer 1999.
3	Elliptic PDEs	Nonlinear Analysis Summer 1999.
4	Elliptic PDEs	Nonlinear Differential Equations Fall 1999.

**Grant Proposals Submitted**
#	Title	Agency	Status
1	Semilinear Elliptic BVP: Semipositone and Sign-Changing Solutions, with A. Castro and R. Shivaji.	National Science Foundation, Applied Mathematics Division.	Not Funded, 1995.
2	Research Initiation Grant: Variational Principles and Solutions to Nonlinear BVP.	Mississippi State University	Not Funded, 1996.
3	Variational Principals and Sign-Changing Solutions to Nonlinear BVPs, with Alfonso Castro.	National Science Foundation, Classical Analysis Division.	Not Funded, 1996.
4	Organized Research Grant: A General Minimax Principle and Visual/Numerical Tools for Variational Investigation.	Northern Arizona University	Not Funded, 1997.
5	Organized Research Grant: Elliptic PDEs: Theory and Numerical Investigations.	Northern Arizona University	Funded, 1998.