John Zweck

Professional Preparation

Ph.D. - Mathematics
Rice University - 1993

B.S. - Mathematical Sciences
University of Adelaide - 1988

Research Areas

Specific Areas of Research Expertise

• Nonlinear waves and nonlinear optics

• Modeling, analysis, and simulation of engineering systems and devices

Short-pulse mode-locked ber lasers: Pulse dynamics, stability, noise modeling, numerical optimization, spectral and functional analysis, evolution semigroups
Plasma processing systems: Boltzmann equation, deterministic spectral methods and stochastic particle methods for modeling of rare events
Photoacoustic trace gas sensors: Multi-physics PDE-based models, analytical
and finite-element solutions, model validation via laboratory experiments
Optical fiber communications systems: Numerical methods for nonlinear Schrodinger equations, advanced Monte Carlo methods for the simulation of rare events, numerical optimization, PhoSSiL: Photonics Systems Simulator C++ Library, model validation via laboratory experiments
High performance parallel scientific computing

• Applications of differential geometry

Publications

A Two-Way Coupled Model of Visco-Thermo-Acoustic Effects in Photoacoustic Trace Gas Sensors 2023 - Journal Article

The essential spectrum of periodically stationary pulses in lumped models of short‐pulse fiber lasers 2023 - Journal Article

Spatiotemporal dynamics in a twisted, circular waveguide array 2022 - Journal Article

Continuous spectrum of periodically stationary pulses in a stretched-pulse laser 2022 - Journal Article

Spectral computation of low probability tails for the homogeneous Boltzmann equation 2021 - Journal Article

The essential spectrum of periodically stationary solutions of the complex Ginzburg–Landau equation 2021 - Journal Article

Spectral computation of low probability tails for the homogeneous Boltzmann equation 2021 - Journal Article

A Higher Order Moment Preserving Reduction Scheme for the Stochastic Weighted Particle Method 2020 - Journal Article

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Awards

President’s Teaching Excellence Award in Undergraduate Instruction for Tenure-System Faculty - UT Dallas [2022]

Honorable Mention for President’s Teaching Excellence Award in Undergraduate Instruction for Tenure-System Faculty - UT Dallas [2020]

News Articles

3-D Models Become Integral Visualization Aids for Calculus Students

A University of Texas at Dallas math professor has embraced 3-D printing to help calculus students develop the ability to visualize geometric objects.

Dr. John Zweck, a professor in the Department of Mathematical Sciences, has created a collection of 3-D printed models that his students use in small-group problem-solving assignments.

Professor John Zweck's Research Melds Math With Other Fields

Combining mathematics and computation with nearly any other field yields a wealth of possibilities, says a UT Dallas mathematics professor whose research tends to gravitate toward such intersections.
Dr. John Zweck, a professor in the Department of Mathematical Sciences who joined the faculty last year, earned his bachelor’s degree from the University of Adelaide in Australia and his PhD in mathematics from Rice University. His training concentrated on differential geometry, which involves understanding shapes in space.

Funding

Collaborative Research: Stability and and instability of periodically stationary nonlinear waves with applications to fiber lasers

$240,922 - National Science Foundation, DMS Applied Mathematics [2021/09–2021/08]

P.I., Collaboration with Yuri Latushkin, U.Missouri

Extension of Active Learning from Calculus to Linear Algebra

$3600 - Instructional Improvement Award, UT Dallas Center for Teaching and Learning [2021/09–2021/08]

co-P.I., (Collaboration with Rabin Dahal (P.I.))

TA Training for more Active Learning in Mathematical Sciences Service Courses

$6,500 - Instructional Improvement Award, UT Dallas Center for Teaching and Learning [2021/09–2021/08]

Collaboration with Mietek Dabkowski

Collaborative Research: Multiphysics Modeling and Analysis of Thermo-Visco-Acoustic Equations with Applications to the Design of Trace Gas Sensors

$149,156 - National Science Foundation, DMS Computational Mathematics [2021/09–2021/08]

Collaboration with S.E. Minkoff (Math, UTD), R. Kirby (Math, Baylor)

MATH: Supplement: Pedagogical Coaches to Develop Geometric Imagination and Conceptual Thinking for Calculus III

$80,115 - National Science Foundation: Robert Noyce Teacher Scholarship Program [2021/08–2021/07]

Supplement to The UTeach Dallas Noyce Teacher Scholarship Program, co-P.I., (Collaboration with M. Urquhart (P.I.), H. Montgomery, and S. Minkoff (Math))

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