Environmental Modeling
Environmental Modeling
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Kenneth Cheng · Macau
Mathematical models for real systems.
Research, education, and computational experiments across cities, infrastructure, environment, and learning.
figures/publish/ directory; axes and network structure are preserved.Current themes
Research programmes
Projects are grouped by the questions and methods that connect them, rather than by publication date.
Mathematical Modeling Education
Mathematical Modeling Education
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Reliability and Uncertainty
Reliability and Uncertainty
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Urban and Mobility Systems
Urban and Mobility Systems
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.
Selected research
Evidence before volume
A small set of projects with reviewed figures, explicit assumptions, and visible limitations. Detailed calculations and source materials are maintained privately.
Accessible Multimodal Routing at Gongbei
A cohort-aware model of how slopes, stairs, transfers, crowding, and missing elevators change routes through a border hub.
Graph-Calibrated Battery Thermal Early Warning
A calibrated graph-CUSUM benchmark for warning of local battery-pack thermal faults when a temperature sensor drifts or becomes unavailable.
Interpretable EV Dispatch and Replenishment
A white-box pipeline links energy prediction, fairness-aware scheduling, and disruption-triggered replanning.
Occupancy-Aware Classroom Ventilation
A shared-capacity predictive-control benchmark for classroom CO₂ exposure when actual room use departs from the timetable.
Teaching
From first model to student research
A complete teaching portfolio connects course design, interactive mathematical models, Python laboratories, assessment, competition practice, and supervised research progression.
Selected writing
Notes worth revisiting
Representative tutorials and research notes, organized by purpose. The chronological archive remains available as secondary navigation.
Research Notes
When the Timetable Lies to the Ventilation System
A reproducible classroom experiment on predictive ventilation, unannounced room changes, shared fan limits, and the price of an occupancy buffer.
Research Notes
Designing Leak Localisation for the Missing Sensor
An editorial account of a synthetic water-network study that places pressure sensors for useful evidence even after one measurement disappears.
Teaching Notes
From Open Question to Reproducible Model
A compact workflow for assumptions, model choice, computation, validation, limitations, and communication.