Fast Algorithms

Efficient high-order singular quadrature schemes in magnetic fusion
D. Malhotra, A. J. Cerfon, M. O'Neil, and E. Toler, submitted, 2019. arXiv Magnetic shear due to localized toroidal flow shear in tokamaks
J. Lee and A. J. Cerfon, Plasma Physics and Controlled Fusion, 61:105007, 2019. journal Taylor States in Stellarators: A Fast High-order Boundary Integral Solver
D. Malhotra, A. J. Cerfon, L.-M. Imbert-Gerard, and M. O'Neil,
J. Comput. Phys., 397:108791, 2019. journal An FFT-accelerated direct solver for electromagnetic scattering from penetrable axisymmetric objects
J. Lai and M. O'Neil, J. Comput. Phys., 390:152-174, 2019. journal
arXiv:1810.07067 A high-order wideband direct solver for electromagnetic scattering from bodies of revolution
C. L. Epstein, L. Greengard, and M. O'Neil, J. Comput. Phys., 387:205-229, 2019. journal
arXiv:1708.00056 A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features
A. J. Majda, D. Qi, and A. J. Cerfon, Phys. Plasmas, 25:102307, 2018. journal A flux-balanced fluid model for collisional plasma edge turbulence: Numerical simulations with different aspect ratios
A. J. Majda, D. Qi, and A. J. Cerfon, Phys. Plasmas, 26:082303, 2019. journal Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions
M. O'Neil, Adv. Comput. Math., 44(5): 1385-1409, 2018. journal
(open-access) An integral equation-based numerical solver for Taylor states in toroidal geometries
M. O'Neil and A. J. Cerfon, J. Comput. Phys., 359:263-282, 2018. journal
arXiv:1611.01420 Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion
T. Sanchez-Vizuet and A. J. Cerfon, Plasma Physics and Controlled Fusion, 60:025018, 2018. journal An adaptive fast multipole accelerated Poisson solver for complex geometries
T. Askham and A. J. Cerfon, J. Comput. Phys., 344:1, 2017. journal Sparse grid techniques for particle-in-cell schemes
L. F. Ricketson and A. J. Cerfon, Plasma Physics and Controlled Fusion, 59:024002, 2017. journal Fast algorithms for Quadrature by Expansion I: Globally valid expansions
M. Rachh, A. Klöckner, and M. O'Neil, J. Comput. Phys., 345:706-731, 2017. journal
arXiv:1602.05301 Accurate Derivative Evaluation for any Grad-Shafranov Solver
L. F. Ricketson, A. J. Cerfon, M. Racch, and J. P. Freidberg, J. Comput. Phys., 305:744, 2016. journal ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria
J. P. Lee and A. J. Cerfon, Comput. Phys. Commun., 190:72, 2015. journal