Parameterizing Intersecting Surfaces via Invariants
T. S. Gutleb, R. Barrett, J. Westermayr, C. Ortner.
Linear Algebra and its Applications.
About Me
I’m a Lecturer (Assistant Professor) in Scientific Computing at the University of Leeds developing applied mathematics foundations and turning them into computational tools to solve real-world problems in applications from molecular quantum physics and materials science to collective behavior in biology.
Research Map
Scientific Machine Learning
Computational Physics and Materials
Computational Medicine
Spectral Methods
Special Functions
Fractional Calculus
A Fast Sparse Spectral Method for Nonlinear Integro-Differential Volterra Equations with General Kernels
A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle
Computing Equilibrium Measures with Power Law Kernels
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations
A Static Memory Sparse Spectral Method for Time-Fractional PDEs
Explicit Fractional Laplacians and Riesz Potentials of Classical Functions
A Frame Approach for Equations Involving the Fractional Laplacian
Modelling Power-Law Ultrasound Absorption Using a Time-Fractional, Static Memory, Fourier Pseudo-Spectral Method
Atomic Cluster Expansion Without Self-Interaction
Parameterizing Intersecting Surfaces via Invariants
Fast Automatically Differentiable Matrix Functions and Applications in Molecular Simulations
A Time Splitting Method for the Three-Dimensional Linear Pauli Equation
MeijerG.jlJulia package for computing Meijer G-functions.Software
Gamma.jlJulia package for the gamma function and related utilities.Software
SemiclassicalOrthogonalPolynomials.jlJulia package for semiclassical orthogonal polynomials.Software
A Fast Sparse Spectral Method for Nonlinear Integro-Differential Volterra Equations with General Kernels
A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle
Computing Equilibrium Measures with Power Law Kernels
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations
A Static Memory Sparse Spectral Method for Time-Fractional PDEs
Explicit Fractional Laplacians and Riesz Potentials of Classical Functions
A Frame Approach for Equations Involving the Fractional Laplacian
Modelling Power-Law Ultrasound Absorption Using a Time-Fractional, Static Memory, Fourier Pseudo-Spectral Method
Atomic Cluster Expansion Without Self-Interaction
Parameterizing Intersecting Surfaces via Invariants
Fast Automatically Differentiable Matrix Functions and Applications in Molecular Simulations
A Time Splitting Method for the Three-Dimensional Linear Pauli Equation
MeijerG.jlJulia package for computing Meijer G-functions.Software
Gamma.jlJulia package for the gamma function and related utilities.Software
SemiclassicalOrthogonalPolynomials.jlJulia package for semiclassical orthogonal polynomials.Software
Scientific Machine Learning
Computational Physics and Materials
Computational Medicine
Spectral Methods
Special Functions
Fractional Calculus
Publications
See also the automated listings at Google Scholar or Semantic Scholar.
Modelling Power-Law Ultrasound Absorption Using a Time-Fractional, Static Memory, Fourier Pseudo-Spectral Method
M. J. King, T. S. Gutleb, B. E. Treeby, B. T. Cox.
The Journal of the Acoustical Society of America.
A Frame Approach for Equations Involving the Fractional Laplacian
I. P. A. Papadopoulos, T. S. Gutleb, J. A. Carrillo, S. Olver.
IMA Journal of Numerical Analysis.
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli
I. P. A. Papadopoulos, T. S. Gutleb, R. M. Slevinsky, S. Olver.
SIAM Journal on Scientific Computing.
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations
T. S. Gutleb, S. Olver, R. M. Slevinsky.
Foundations of Computational Mathematics.
Explicit Fractional Laplacians and Riesz Potentials of Classical Functions
T. S. Gutleb, I. P. A. Papadopoulos.
arXiv preprint.
A Static Memory Sparse Spectral Method for Time-Fractional PDEs
T. S. Gutleb, J. A. Carrillo.
Journal of Computational Physics.
A Time Splitting Method for the Three-Dimensional Linear Pauli Equation
T. S. Gutleb, N. Mauser, M. Ruggeri, H. P. Stimming.
Computational Methods in Applied Mathematics.
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
T. S. Gutleb, J. A. Carrillo, S. Olver.
Constructive Approximation.
Computing Equilibrium Measures with Power Law Kernels
T. S. Gutleb, J. A. Carrillo, S. Olver.
Mathematics of Computation.
A Fast Sparse Spectral Method for Nonlinear Integro-Differential Volterra Equations with General Kernels
T. S. Gutleb.
Advances in Computational Mathematics.
A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle
T. S. Gutleb, S. Olver.
SIAM Journal on Numerical Analysis.
Software
I contribute regularly to open-source software and provide companion code for most of my papers. Rather than listing every contribution, this section highlights packages where I act as a main developer or maintainer.
Background
For a possibly more complete view, see my LinkedIn or ORCID.
- Lecturer Lecturer (Assistant Professor) in Scientific Computing University of Leeds, United Kingdom
- Postdoc PIMS-Simons Postdoctoral Fellow University of British Columbia, Canada
- Postdoc Postdoctoral Research Associate University of Oxford, United Kingdom
- PhD PhD Mathematics Imperial College London, United Kingdom
- Master's MSc Mathematics, MSc Physics, MA Philosophy University of Vienna, Austria
- Undergrad. BSc Physics, BA Philosophy University of Vienna, Austria