Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case. - Travis Askham; Leslie Greengard (SIAM Rev., 2014)

Dynamic Mode Decomposition for Background Modeling. - Seth D. Pendergrass; Steven L. Brunton; J. Nathan Kutz; N. Benjamin Erichson; Travis Askham (ICCV Workshops, 2017)

An adaptive fast multipole accelerated Poisson solver for complex geometries. - Travis Askham; Antoine J. Cerfon (J. Comput. Phys., 2017)

Sparse Relaxed Regularized Regression: SR3. - Peng Zheng 002; Travis Askham; Steven L. Brunton; J. Nathan Kutz; Aleksandr Y. Aravkin (CoRR, 2018)

A Stabilized Separation of Variables Method for the Modified Biharmonic Equation. - Travis Askham (J. Sci. Comput., 2018)

Integral Equation Formulation of the Biharmonic Dirichlet Problem. - Manas Rachh; Travis Askham (J. Sci. Comput., 2018)

Variable Projection Methods for an Optimized Dynamic Mode Decomposition. - Travis Askham; J. Nathan Kutz (SIAM J. Appl. Dyn. Syst., 2018)

A Unified Framework for Sparse Relaxed Regularized Regression: SR3. - Peng Zheng 002; Travis Askham; Steven L. Brunton; J. Nathan Kutz; Aleksandr Y. Aravkin (IEEE Access, 2019)

A boundary integral equation approach to computing eigenvalues of the Stokes operator. - Travis Askham; Manas Rachh (Adv. Comput. Math., 2020)

A fast integral equation method for the two-dimensional Navier-Stokes equations. - Ludvig af Klinteberg; Travis Askham; Mary Catherine A. Kropinski (J. Comput. Phys., 2020)

Periodic Fast Multipole Method. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (CoRR, 2021)

Robust and Scalable Methods for the Dynamic Mode Decomposition. - Travis Askham; Peng Zheng 002; Aleksandr Y. Aravkin; J. Nathan Kutz (SIAM J. Appl. Dyn. Syst., 2022)

Reconstructing the shape and material parameters of dissipative obstacles using an impedance model. - Travis Askham; Carlos Borges (CoRR, 2023)

A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (J. Comput. Phys., 2023)

Boundary Integral Formulations for Flexural Wave Scattering in Thin Plates. - Peter Nekrasov; Tim Su; Travis Askham; Jeremy G. Hoskins (CoRR, 2024)

Random Walks in Frequency and the Reconstruction of Obstacles with Cavities from Multi-frequency Data. - Travis Askham; Carlos Borges; Jeremy G. Hoskins; Manas Rachh (J. Sci. Comput., 2024)

Integral equations for flexural-gravity waves: analysis and numerical methods. - Travis Askham; Jeremy G. Hoskins; Peter Nekrasov; Manas Rachh (CoRR, 2025)