**Rice University**- 1993

# John Zweck

Professor - Mathematical Sciences

Affiliate Professor - Science/Mathematics Education

### Professional Preparation

Ph.D. - Mathematics

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

### Publications

Floquet Stability of Periodically Stationary Pulses in a Short-Pulse Fiber Laser 2024 -

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

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

**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**### 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.