https://personal-website-rui9.vercel.app/ Latest writing, projects, publications, and reports from Rui Zhang. en Wed, 01 Jul 2026 00:00:00 GMT https://personal-website-rui9.vercel.app/research/gray-scott-reaction-diffusion/ https://personal-website-rui9.vercel.app/research/gray-scott-reaction-diffusion/ Wed, 01 Jul 2026 00:00:00 GMT Computational Reproductions An in-progress summer-school scientific-computing project on Gray-Scott reaction-diffusion simulation, pattern formation, and HPC-oriented implementation practice. https://personal-website-rui9.vercel.app/research/one-dimensional-schrodinger-equation/ https://personal-website-rui9.vercel.app/research/one-dimensional-schrodinger-equation/ Sat, 20 Jun 2026 00:00:00 GMT Independent Projects An in-progress computational quantum mechanics project on numerical solutions to the one-dimensional Schrodinger equation and quantum oscillator models. https://personal-website-rui9.vercel.app/writing/ibm-qiskit-summer-school-learning-log/ https://personal-website-rui9.vercel.app/writing/ibm-qiskit-summer-school-learning-log/ Sat, 20 Jun 2026 00:00:00 GMT Academic Notes A public learning log for IBM Qiskit summer-school material, quantum circuits, simulation, and links to computational quantum mechanics interests. https://personal-website-rui9.vercel.app/writing/scientific-python-and-computing-toolkit/ https://personal-website-rui9.vercel.app/writing/scientific-python-and-computing-toolkit/ Sat, 20 Jun 2026 00:00:00 GMT Technical Tutorials A learning map for NumPy, SciPy, Matplotlib, Pandas, PyTorch, MATLAB, and LaTeX as tools for reproducible mathematical and physical modelling. https://personal-website-rui9.vercel.app/writing/scientific-computing-learning-map/ https://personal-website-rui9.vercel.app/writing/scientific-computing-learning-map/ Fri, 19 Jun 2026 00:00:00 GMT Academic Notes A living map for connecting numerical methods, computational physics, modelling projects, and reproducible code. https://personal-website-rui9.vercel.app/writing/coursework-publication-boundary/ https://personal-website-rui9.vercel.app/writing/coursework-publication-boundary/ Thu, 18 Jun 2026 00:00:00 GMT Coursework A short policy note for separating public learning notes from copyrighted material, graded coursework, and formal publications. https://personal-website-rui9.vercel.app/research/multiphase-tumour-growth-1d-slab-model/ https://personal-website-rui9.vercel.app/research/multiphase-tumour-growth-1d-slab-model/ Mon, 01 Jun 2026 00:00:00 GMT Summer / Department Projects A Year 2 summer mathematics department project on a two-phase tumour-growth model with nutrient transport, mechanical stresses, stability analysis, and numerical solutions. https://personal-website-rui9.vercel.app/publications/multiphase-tumour-growth-1d-slab-model/ https://personal-website-rui9.vercel.app/publications/multiphase-tumour-growth-1d-slab-model/ Mon, 01 Jun 2026 00:00:00 GMT Research Reports A summer mathematics department project report on a two-phase tumour-growth model with nutrient transport, mechanical stresses, one-dimensional slab simplification, stability analysis, numerical solutions, and critique. https://personal-website-rui9.vercel.app/research/lagrangian-mechanics/ https://personal-website-rui9.vercel.app/research/lagrangian-mechanics/ Sun, 10 May 2026 00:00:00 GMT Summer / Department Projects A Year 1 summer mathematics department project on Lagrangian mechanics, variational calculus, the Euler-Lagrange equation, and classical extremal-path examples. https://personal-website-rui9.vercel.app/research/ising-model-monte-carlo/ https://personal-website-rui9.vercel.app/research/ising-model-monte-carlo/ Fri, 20 Mar 2026 00:00:00 GMT Independent Projects An in-progress computational physics project for simulating phase transitions and learning Monte Carlo methods. https://personal-website-rui9.vercel.app/publications/lagrangian-mechanics-variational-calculus/ https://personal-website-rui9.vercel.app/publications/lagrangian-mechanics-variational-calculus/ Fri, 13 Jun 2025 00:00:00 GMT Research Reports A rewritten LaTeX report based on a Year 1 summer mathematics department project about ordinary extrema, functionals, the Euler-Lagrange equation, shortest paths, the Beltrami identity, and the brachistochrone problem. https://personal-website-rui9.vercel.app/research/nuclear-energy-space-exploration/ https://personal-website-rui9.vercel.app/research/nuclear-energy-space-exploration/ Thu, 02 May 2024 00:00:00 GMT Independent Projects A UPC independent research project on whether nuclear energy should be used in advancing space exploration, comparing radioisotope and fission power systems with chemical and solar alternatives while discussing safety and ethical concerns. https://personal-website-rui9.vercel.app/writing/nuclear-energy-space-exploration-upc/ https://personal-website-rui9.vercel.app/writing/nuclear-energy-space-exploration-upc/ Thu, 02 May 2024 00:00:00 GMT Research Reports A UPC independent research essay on radioisotope and fission power systems for space exploration, selected by faculty as a model project for future cohorts. https://personal-website-rui9.vercel.app/publications/nuclear-energy-space-exploration/ https://personal-website-rui9.vercel.app/publications/nuclear-energy-space-exploration/ Thu, 02 May 2024 00:00:00 GMT Research Reports A public LaTeX portfolio version of a UPC research essay comparing radioisotope and fission power systems with solar and chemical alternatives for long-duration space exploration. https://personal-website-rui9.vercel.app/research/hiv-protease-docking/ https://personal-website-rui9.vercel.app/research/hiv-protease-docking/ Sun, 07 Nov 2021 00:00:00 GMT Independent Projects A high-school research project using Schrödinger Maestro to model lopinavir docking with HIV-1 protease, compare 15/18/20 Å grid settings, and interpret docking scores and molecular interactions. https://personal-website-rui9.vercel.app/publications/hiv-protease-docking-report/ https://personal-website-rui9.vercel.app/publications/hiv-protease-docking-report/ Sun, 07 Nov 2021 00:00:00 GMT Research Reports A generated English portfolio report based on a high-school research project using Schrödinger Maestro to dock lopinavir with HIV-1 protease and compare grid settings through Glide GScore and interaction analysis.