Kenneth ChengMathematical modeling

Archive

Every published article, kept in context.

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60 articles

  1. Designing Leak Localisation for the Missing Sensor — 2026-07-13 · Research Notes
  2. From Open Question to Reproducible Model — 2026-07-13 · Teaching Notes
  3. The Alarm Before the Heat — 2026-07-13 · Research Notes
  4. Delays, Limit Cycles, and Phase Diffusion: A Mathematical Framework for Optomechanically Levitated Nanoparticles — 2026-02-23 · Technical Tutorials
  5. Hubs, Pheromones, and No-Fly Zones: A Mathematical Framework for Last-Mile Drone Delivery Optimization — 2026-02-15 · Research Notes
  6. Rising Tides, Rising Costs: Optimizing Coastal Defense Strategies Against Sea Level Rise and Storm Surges — 2026-01-19 · Technical Tutorials
  7. The Kessler Horizon: A Deep Dive into Modeling Orbital Debris Cascades with Parallelized Cowell’s Formulation — 2026-01-17 · Technical Tutorials
  8. The Geometry of War: Modeling the Primarch Duel with Newtonian Physics and Stochastic Control — 2026-01-14 · Technical Tutorials
  9. Ghost Hunters on the Highway: Quantifying the Stabilizing Effect of Autonomous Vehicles on Phantom Traffic Jams using IDM and MOBIL — 2026-01-10 · Technical Tutorials
  10. Climate-Driven Dengue on a Spatial Grid: A Reaction–Diffusion Model with Temperature-Dependent Mosquito Ecology, $R_0$ Fields, and Vaccination Allocation — 2025-12-26 · Research Notes
  11. Reading a Spatial Dengue Experiment Carefully — 2025-12-26 · Research Notes
  12. Project Aether: Autonomous Station-Keeping of Solar-Powered HAPS via Particle Swarm Optimization and Nonlinear Flight Dynamics — 2025-12-19 · Research Notes
  13. When Swarms Outsmart Geniuses — 2025-12-18 · Mathematical Curiosities
  14. Why 'Good Enough' is the New Perfect: An Introduction to Heuristics — 2025-12-07 · Mathematical Curiosities
  15. Climbing Invisible Mountains: Heuristics on Fitness Landscapes — 2025-12-07 · Mathematical Curiosities
  16. Cooperative Energy Trading in Smart Microgrids: Integrated Differential Equations, Game Theory, and Multi-Agent Optimization for Renewable Energy Markets — 2025-11-28 · Technical Tutorials
  17. New Constellations: Hierarchical Clustering and Pattern Recognition for Celestial Sphere Redesign — 2025-11-22 · Research Notes
  18. Solar Tracker Cost-Effectiveness: Integrated Economic Modeling and Solar Geometry for Optimal PV System Design — 2025-11-22 · Research Notes
  19. Autonomous Satellite Collision Avoidance: A Differential Game Approach to Multi-Agent Orbital Dynamics and Strategic Maneuver Optimization — 2025-11-02 · Research Notes
  20. Pollination Ecosystem Model: A Comprehensive Agent-Based Framework for Analyzing Pollinator-Agricultural Trade-offs with High-Performance C++ Implementation — 2025-11-01 · Research Notes
  21. Neural Operator Inverse Problem Solver: A Comprehensive Framework for Solving Parametric PDE Inverse Problems with Multi-Fidelity Learning — 2025-10-31 · Research Notes
  22. Agent-Based Modeling of Quantum Resource Competition in Multi-Agent Systems: A Comprehensive Framework for Understanding Strategic Harvesting and Optimal Population Dynamics — 2025-10-28 · Research Notes
  23. Agent-Based Modeling of Information Dynamics in Multi-Layer Social Networks: A Comprehensive Framework for Understanding Misinformation Spread and Strategic Intervention Design — 2025-10-25 · Research Notes
  24. Advanced Urban Microclimate Modeling: A Comprehensive Physics-Based Framework for Thermal Comfort Optimization and Strategic Tree Placement — 2025-10-18 · Research Notes
  25. Advanced Shared Micro-Mobility Optimization: A Comprehensive Mathematical Framework for Urban Transportation Network Design and Dynamic Pricing — 2025-10-11 · Research Notes
  26. Advanced Ecosystem Dynamics: A Comprehensive Computational Framework for Multi-Species Interaction Modeling and Analysis — 2025-10-07 · Research Notes
  27. Advanced Robotic Arm Dynamics: A Comprehensive Computational Physics Framework for Multi-Degree-of-Freedom Manipulator Control — 2025-10-05 · Research Notes
  28. Advanced Traffic Flow Optimization: A Multi-Objective Mathematical Framework for Urban Transportation Systems — 2025-10-04 · Research Notes
  29. Sustainable Urban Mobility Optimization: A Comprehensive Mathematical Modeling Framework for Integrated Transportation and Energy Systems — 2025-07-25 · Research Notes
  30. Optimizing Urban Vertical Lettuce Farming: A Comprehensive Mathematical Modeling Framework for Sustainable Indoor Agriculture — 2025-07-24 · Research Notes
  31. Solving NYC's Bike-Sharing Challenge: A Comprehensive Mathematical Modeling Approach — 2025-07-23 · Research Notes
  32. Optimizing Macau's Casino Operations: A Data-Driven Path to Profitability — 2025-02-22 · Research Notes
  33. Blog Post Series of Numerical Analysis 4: Interpolation Beyond Polynomials — 2024-12-27 · Technical Tutorials
  34. Blog Post Series of Numerical Analysis 5: High-Dimensional Interpolation — 2024-12-27 · Technical Tutorials
  35. Water-Saving Basin Optimization in Lock Systems: A Mathematical Modeling Approach — 2024-12-26 · Research Notes
  36. Blog Post Series of Numerical Analysis 1: Advanced Topics in Scientific Computing — 2024-12-26 · Technical Tutorials
  37. Blog Post Series of Numerical Analysis 2: Advanced Eigenvalue Methods and Applications — 2024-12-26 · Technical Tutorials
  38. Blog Post Series of Numerical Analysis 3: Iterative Methods for Large Linear Systems — 2024-12-26 · Technical Tutorials
  39. The Environmental Footprint of High-Powered Computing: Challenges and Solutions for a Sustainable Digital Future — 2024-12-14 · Research Notes
  40. The Hidden Carbon Footprint of Household Plastic Recycling — 2024-12-09 · Research Notes
  41. Beyond the Surface: A Deep Dive into Nearshore Wave Height Measurement at HKUST — 2024-12-07 · Research Notes
  42. Fair Resource Distribution in Isolated Space Communities: A Mathematical Modeling Approach — 2024-10-30 · Research Notes
  43. Lost and Found: An Archimedean Spiral Approach for Lost Object Recovery — 2024-10-26 · Research Notes
  44. Building and Optimizing a Trading Strategy using Python — 2024-09-30 · Research Notes
  45. Lake Mead's Water Crisis: Drought, Climate Change, and Innovative Solutions — 2024-09-29 · Research Notes
  46. Modeling Nature's Recyclers: Fungal Decomposition Dynamics — 2024-09-28 · Research Notes
  47. Storing the Sun — 2024-09-22 · Research Notes
  48. Bottle Battles — 2024-09-14 · Competition Case Studies
  49. Charging Ahead with E-buses — 2024-09-08 · Research Notes
  50. Dandelion Spread Analysis and Impact Factors for Other Invasive Species — 2024-08-31 · Research Notes
  51. Modeling Sea Lamprey Population Dynamics — 2024-08-20 · Research Notes
  52. CO2 and Global Warming — 2024-08-20 · Research Notes
  53. The Hydrographic Data Problem — 2024-08-19 · Technical Tutorials
  54. The Spread of a Contagious Disease — 2024-08-18 · Technical Tutorials
  55. School Busing — 2024-08-18 · Mathematical Curiosities
  56. Darts Simulation — 2024-08-17 · Mathematical Curiosities
  57. Fitting Models to Data Graphically — 2024-07-28 · Technical Tutorials
  58. Gibbs Phenomenon — 2024-07-24 · Technical Tutorials
  59. Chebyshev Interpolation — 2024-07-21 · Technical Tutorials
  60. Interpolation Without Losing the Shape of the Problem — 2024-07-21 · Technical Tutorials

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