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Project Ideas for Doctor of Philosophy in Applied Mathematics

Mathematical modeling and computation for complex real-world systems.

🏛 Introduction

UC’s PhD in Applied Mathematics advances theory and algorithms, preparing scholars to innovate in science, engineering, and data analytics.

💡 Suggested Project Titles

PDE model simulating wildfire spread under variable wind fields

Sparse-regression discovery of governing equations in climate data

Spectral method solver accelerating quantum-chemistry computations

Stochastic control of autonomous-vehicle platoons with communication delays

Gaussian-process emulator for uncertainty quantification in fusion reactors

Hybrid neural-PDE model for battery degradation prediction

Graph-theory optimization of power-grid resilience to cascading failures

Monte-Carlo valuation of renewable-energy derivatives under heavy-tail risks

Topology optimization of lightweight aerospace truss structures

White paper on reproducible computational modeling standards

University of California – PhD in Applied Mathematics

Solve grand challenges with UC’s mathematically rigorous PhD.

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