David Sinden
  • Bio
  • Experience
  • Publications
  • Projects
  • Blog
  • Talks
  • Teaching
    • Grad. Probability
    • Numerical Methods
    • Grad. Calculus & Linear Algebra
    • Numerical Analysis
  • Abstracts
    • Nonlinear Dynamics of Microbubbles in Tissue
    • Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
    • Artificial Intelligence in Therapeutic Ultrasound
    • Patient-Specific Modelling of Microwave Ablation
    • Factors for validation of measurement-based simulation
    • Assessing generalized multi-pool exchange tissue model MRI simulations for the modelling of an ultra-low field scanner
    • Transcostal High-Intensity Focused Ultrasound: Planning Treatment Delivery for Phased Arrays
    • A comparison between theory and experiment in thermal ablation of perfused livers
  • Experience
  • Projects
  • Talks
    • Nonlinear Dynamics of Microbubbles in Tissue
    • Mathematical Modelling and Numerical Simulation in Medicine
    • Integrability, localisation and bifurcation of an elastic conducting rod in a magnetic field
    • Artificial Intelligence in Therapeutic Ultrasound
    • Patient-Specific Modelling of Microwave Ablation
    • Factors for Validation of Measurement-Based Simulation
  • Projects
    • QualiPerF
    • EHMA
    • Computational Topology in Medical Imaging
    • MAIBAI: Metrology for Image-Based AI
    • CUBDL: Challenge on Ultrasound Beamforming with Deep Learning
    • AEGEUS
    • Cosserat Theory
  • Opensources
    • k-wave-python
  • Posts
    • Awesome List of Scientific Computing Resources
    • Annual Meeting of the Society for Thermal Medicine 2022
  • Slides
  • Courses
    • CTMS-MAT-13: Numerical Methods
      • Course Details
      • Taylor Series
      • Number Representations
      • Linear Equations
      • Nonlinear Equations
      • Interpolation
      • Integration
      • Finite Differences
      • Notebooks
        • Taylor Series
        • Number Representations
        • Linear Systems
        • Iterative Solvers
        • Nonlinear Solvers
        • Secant Method
        • Lagrange Polynomials
        • Least Squares
        • Numerical Integration
        • Runge Phenomena
        • ODE Solvers
      • Assignments
      • Exams
      • Course Notes
    • MDE-MET-02; Probability for Graduate Students
      • Course Details
      • Notebooks
      • Assignments
      • Exam
      • Course Notes
    • MDE-MET-01; Calculus and Linear Algebra for Graduate Students
      • Course Details
      • Vectors
      • Matrices
      • Linear Equations
      • Vector Spaces
      • Eigenvalues and PCA
      • Single Variable Calculus
      • Taylor Series
      • Multivariate Calculus
      • Notebooks
        • Gram-Schmidt Algorithm
        • Principal Component Analysis
        • Taylor Series
      • Assignments
      • Exam
      • Course Notes
    • CA-MATH-804: Numerical Analysis
      • Course Details
      • Principles
      • Iterative Methods
      • Interpolation
      • Integration
      • Finite Difference Methods
      • Finite Element Methods
      • Notebooks
        • Lagrange Interpolation
        • Lagrange Polynomials
        • Numerical Integration
        • One-Dimensional Finite Element Simulations
        • Two-Dimensional Finite Element Simulations
      • Assignments
      • Exam
      • Course Notes
    • MECH1010: Modelling and Analysis in Engineering I
    • Math6502: Mathematics for Engineers II
  • Homes
    • Experience
  • Papers in which I have been acknowledged
    • Numerical analysis of a wave equation for lossy media obeying a frequency power law
  • Publications
    • Optimizing Microwave Ablation planning with the Ablation Success Ratio
    • Numerical Modelling for Simulation and Planning of Focused Ultrasound Treatments
    • A novel concept of transperineal focused ultrasound transducer for prostate cancer local deep hyperthermia treatments
    • Three-dimensional assessment of vascular cooling effects on hepatic microwave ablation in a standardized ex vivo model
    • Studying the effect of tissue properties on radiofrequency ablation by visual simulation ensemble analysis
    • Pyroelectric ultrasound sensor model: directional response
    • Deep learning for ultrasound image formation: CUBDL evaluation framework and open datasets
    • Improving image quality of single plane wave ultrasound via deep learning based channel compounding
    • Building confidence in digital health through metrology
    • Numerical and experimental study of mechanisms involved in boiling histotripsy
    • Reducing uncertainties for spatial averaging at high frequencies
    • Dosimetry implications for correct ultrasound dose deposition: uncertainties in descriptors, planning and treatment delivery
    • Approximations for acoustically excited bubble cluster dynamics
    • The buckling of magneto-strictive Cosserat rods
    • Localisation of a twisted conducting rod in a uniform magnetic field: the Hamiltonian-Hopf-Hopf bifurcation
    • The effects of nonlinear wave propagation on the stability of inertial cavitation
    • Integrability, Localisation and Bifurcation of an Elastic Conducting Rod in a Uniform Magnetic Field
    • Spatial chaos of an extensible conducting rod in a uniform magnetic field
    • Integrability of a conducting elastic rod in a magnetic field
  • CTMS-MAT-13: Numerical Methods
    • Course Details
    • Taylor Series
    • Number Representations
    • Linear Equations
    • Nonlinear Equations
    • Interpolation
    • Integration
    • Finite Differences
    • Notebooks
      • Taylor Series
      • Number Representations
      • Linear Systems
      • Iterative Solvers
      • Nonlinear Solvers
      • Secant Method
      • Lagrange Polynomials
      • Least Squares
      • Numerical Integration
      • Runge Phenomena
      • ODE Solvers
    • Assignments
    • Exams
    • Course Notes
  • MDE-MET-02; Probability for Graduate Students
    • Course Details
    • Notebooks
    • Assignments
    • Exam
    • Course Notes
  • MDE-MET-01; Calculus and Linear Algebra for Graduate Students
    • Course Details
    • Vectors
    • Matrices
    • Linear Equations
    • Vector Spaces
    • Eigenvalues and PCA
    • Single Variable Calculus
    • Taylor Series
    • Multivariate Calculus
    • Notebooks
      • Gram-Schmidt Algorithm
      • Principal Component Analysis
      • Taylor Series
    • Assignments
    • Exam
    • Course Notes
  • CA-MATH-804: Numerical Analysis
    • Course Details
    • Principles
    • Iterative Methods
    • Interpolation
    • Integration
    • Finite Difference Methods
    • Finite Element Methods
    • Notebooks
      • Lagrange Interpolation
      • Lagrange Polynomials
      • Numerical Integration
      • One-Dimensional Finite Element Simulations
      • Two-Dimensional Finite Element Simulations
    • Assignments
    • Exam
    • Course Notes
  • MECH1010: Modelling and Analysis in Engineering I
  • Math6502: Mathematics for Engineers II
Courses
MDE-MET-02; Probability for Graduate Students
Course Notes

Course Notes

The course notes will be uploaded here.

Changelog

All changes to the notes will be documented here.

Last updated on Jul 22, 2025

© 2025 David Sinden. This work is licensed under CC BY NC ND 4.0