Alex Townsend

1. A Fast and Well-Conditioned Spectral Method
   2013/01/01 by Sheehan Olver, Alex Townsend · 16 citations
   Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics
2. Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
   2021/11/29 by Matthew J. Colbrook, Alex Townsend, Colbrook, Matthew J. +1 · 19 citations
   Computer Science · Engineering · Physics and Astronomy · #37A30 #37M10 #37N10 #37N25 #47A10 #47B33 #65F99 #65P99 #65T99 #Computational Fluid Dynamics and Aerodynamics #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
3. Parallel algorithms for computing the tensor-train decomposition
   2021/11/19 by Tianyi Shi, Maximilian Ruth, Shi, Tianyi +3 · 3 citations
   Computer Science · Mathematics · #15A69 #65F55 #65Y05 #FOS: Mathematics #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Tensor decomposition and applications
4. Fast inverse transform sampling in one and two dimensions
   2013/07/04 by Sheehan Olver, Olver, Sheehan, Alex Townsend +1 · 1 citation
   Computer Science · Engineering · #65C10 #Anomaly Detection Techniques and Applications #Chaos-based Image/Signal Encryption #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
5. Avoiding discretization issues for nonlinear eigenvalue problems
   2023/05/02 by Matthew J. Colbrook, Colbrook, Matthew J., Alex Townsend +1 · 2 citations
   Computer Science · Mathematics · #35P30 #47A10 #65N25 #65N30 #Advanced Optimization Algorithms Research #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Spectral Theory (math.SP) #Systems and Control (eess.SY) #electronic engineering #information engineering
6. Computing with functions in spherical and polar geometries I. The sphere
   2015/10/27 by Alex Townsend, Townsend, Alex, Heather Wilber +3 · 1 citation
   Earth and Planetary Sciences · Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geological Modeling and Analysis #Numerical Analysis (math.NA)
7. How to reveal the rank of a matrix?
   2024/05/07 by Anil Damle, Silke Glas, Damle, Anil +5 · 3 citations
   Computer Science · #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
8. Operator learning without the adjoint
   2024/01/31 by Nicolas Boullé, Diana Halikias, Boullé, Nicolas +5 · 1 citation
   Computer Science · Engineering · Mathematics · #Artificial Intelligence (cs.AI) #Control Systems and Identification #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA) #Numerical methods in inverse problems
9. Extending Mercer's expansion to indefinite and asymmetric kernels
   2024/09/24 by Sungwoo Jeong, Jeong, Sungwoo, Alex Townsend +1 · 1 citation
   Computer Science · #Neural Networks and Applications
10. A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem
    2025/03/28 by Emil Graf, Graf, Emil, Alex Townsend +1 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #15A18 #15A22 #15A69 #65F15 #FOS: Mathematics #G.1.3 #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Polynomial and algebraic computation #Tensor decomposition and applications
11. The Distributional Koopman Operator for Random Dynamical Systems
    2025/04/15 by Maria Oprea, Oprea, Maria, Alex Townsend +3 · 1 citation
    Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #Dynamical Systems (math.DS) #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Model Reduction and Neural Networks
12. A zero-one law for one-shot system identification
    2026/07/17 by Nicolas Boullé, Diana Halikias, Samuel E. Otto +1
    #math.NA #cs.LG #cs.NA #math.DS
13. Blow-up Parameter Landscapes for Polynomial Dynamical Systems
    2026/07/15 by Emil Graf, Ioannis G. Kevrekidis, Alex Townsend
    #math.DS #math.AG