🎓 Discover PhD and Master's programmes at leading universities worldwide — Sign up free to save searches and get email alerts

🎓 Applied Mathematics PhDs

Rigorous Safety and Reliability in Autonomous Systems via Formal Verification and Data-Driven Control
University of Birmingham Prof. Sadegh Soudjani 🎓 Applied Mathematics 🎓 Computer Science Deadline: 10 May 2024

Explore how to develop mathematically rigorous methods ensuring safety and reliability in autonomous systems by integrating control theory, formal verification, and probabilistic approaches. Ideal for candidates eager t…

This research is crucial for advancing the safety and reliability of autonomous systems deployed in real-world safety-critical applications…

3500+ citations · h30
Cyber-Physical Systems Safe Autonomy & AI Model Checking Formal Methods
PhD Positions in Multiscale Modeling and Scientific Machine Learning for Computational Biomedicine
Rowan University Dr. Guansheng Li 🎓 Applied Mathematics 🎓 Biomedical Engineering

Explore multiscale blood flow and cell mechanics through computational and machine learning models. Integrate experimental data with simulations to advance biomedical applications in blood diseases.

This research addresses critical challenges in understanding blood flow mechanics and disease pathology through integrated computational an…

300+ citations · h10
Multiscale modelling Smoothed dissipative particle dynamics scientific machine learning
PhD Fellowship in Energy Security: Power Grid Resilience and Intelligent Energy Systems
University of Stavanger 🎓 Applied Mathematics 🎓 Electrical Engineering Deadline: 07 May 2026

Explore power grid resilience and energy security by developing autonomous grid segments and applying AI techniques. Enhance sustainable energy systems capable of withstanding extreme disruptions. Collaborate internatio…

This research tackles critical vulnerabilities in modern power grids exposed by increasing reliance on renewable energy and more frequent e…

Energy Security Power Grid Resilience Intelligent Energy Systems Distributed Energy Resources
Simulation and Modelling of Mixing in Wet and Cohesive Powders
The University of Manchester Dr Anthony Thornton 🎓 Applied Mathematics 🎓 Computational Mathematics

Explore particle-based simulations to understand wet and cohesive powders central to multiple industries. Develop efficient reduced-order models and optimization approaches to improve predictions and mixing quality in r…

This research addresses critical challenges in predicting and controlling the behavior of wet and cohesive powders, which impact pharmaceut…

3120+ citations · h29
Multiscale modelling Granular Materials Self-healing materials
Near-Resonance-Informed Parallel Methods for Nonlinear Oscillatory PDE Models
University of Surrey Dr Bin Cheng 🎓 Applied Mathematics 🎓 Computational Mathematics Deadline: 04 May 2026

Explore numerical methods that exploit near-resonance theory to accelerate nonlinear oscillatory PDE simulations in parallel computing. Develop and test algorithms that improve speed and accuracy for applications in flu…

This research advances computational techniques essential for climate prediction, fluid simulation, and geophysical modelling by enabling a…

281+ citations · h11
Partial Differential Equations Geophysics Numerical Analysis Applied Mathematics
Develop and Validate Blood-Borne Lung Cancer Diagnostic Biomarkers Using Multi-Omics and Interpretable AI
University of Liverpool Dr Tao You 🎓 Applied Mathematics 🎓 Bioinformatics

Explore blood-borne biomarkers for early lung cancer detection using matched proteomic, miRNA, and metabolomic data. Integrate multi-omics with novel network and survival models to uncover early disease signals.

This research has the potential to revolutionize lung cancer detection by identifying biomarkers detectable years before clinical diagnosis…

595+ citations · h10
Systems Medicine Pharmacometrics Quantitative Systems Pharmacology
Wind Assisted Dispersal of Insect Tree Pests: An Interdisciplinary Modelling and Ecological Study
Newcastle University Dr Laura Wadkin 🎓 Applied Mathematics 🎓 Ecology Deadline: 20 May 2026

Explore the dynamics of invasive insect pests transported by wind to Great Britain. Develop and apply quantitative models combining ecology and atmospheric sciences to predict pest spread and strengthen forest biosecuri…

This research addresses critical biosecurity challenges by quantifying the role of wind in dispersing invasive tree pests, a pathway often …

188+ citations · h8
mathematical biology mathematical ecology individual-based modelling partial differential eqs
Signal Processing for X-ray Computed Tomography Data Compression
University of Warwick Dr Jay Warnett 🎓 Applied Mathematics 🎓 Artificial Intelligence

Explore advanced compression methods for massive XCT data to reduce storage needs by up to 80% without losing vital scientific detail. Develop predictive models exploiting XCT data redundancy within an open-source frame…

This project addresses the critical challenge of managing enormous volumes of XCT data, which currently pose storage, transmission, and arc…

1495+ citations · h21
X-Ray CT Metrology NDE/NDT Granular flows
Near-Resonance-Informed Parallel Methods for Nonlinear Oscillatory PDE Models
University of Surrey Dr Bin Cheng 🎓 Applied Mathematics 🎓 Computational Physics Deadline: 04 May 2026

Explore advanced numerical methods that leverage near-resonance theory to simulate complex nonlinear oscillatory PDEs efficiently. Develop parallel-in-time algorithms optimized for scalability and energy efficiency in h…

This research enhances computational approaches for simulating critical oscillatory PDEs used in fluid dynamics, weather prediction, and cl…

5850+ citations · h39
Biostatistics Applied Probability Oral Health Neurology
Near-Resonance-Informed Parallel Methods for Nonlinear Oscillatory PDE Models
University of Surrey Dr Bin Cheng 🎓 Applied Mathematics 🎓 Computational Physics Deadline: 04 May 2026

Develop parallel numerical methods informed by near-resonance theory to accelerate nonlinear oscillatory PDE models. Explore how fast oscillations influence long-term dynamics and optimize algorithms for high-performanc…

This research advances understanding and simulation capability of nonlinear oscillatory PDEs critical for fluid dynamics, weather, and clim…

281+ citations · h11
Partial Differential Equations Geophysics Numerical Analysis Applied Mathematics
Funded PhD: Breaking down barriers: A seascape-ecological framework to define connectivity in marine systems
University of Bristol Dr Hugo Harrison; Dr Fanny Monteiro; Dr Luisa Fontoura; Dr Mana Mbui 🎓 Applied Mathematics 🎓 Biophysics Deadline: 19 Apr 2026

Funded PhD at the University of Bristol developing modelling frameworks to understand connectivity and dispersal in marine ecosystems under changing environmental conditions.

Single-turbine scale quantification of wake turbulence
Loughborough University Prof Chris Keylock, Dr Yi Li, Prof Michele Guala 🎓 Aerospace Engineering 🎓 Applied Mathematics

This PhD quantifies single-turbine wake turbulence to improve understanding of flow physics, aerodynamic interactions, and impacts on downwind turbines, combining numerical simulation, data analysis, and model developme…