42 citations · 57 across the 10 of their papers we have counts for
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math.DS2016★ 6 cited
Computing hyperbolic choreographies
Hadrien Montanelli
An algorithm is presented for numerical computation of choreographies in spaces of constant negative curvature in a hyperbolic cotangent potential, extending the ideas given in a c…
math.NA2016
Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators
Hadrien Montanelli, Niall Bootland
Dozens of exponential integration formulas have been proposed for the high-accuracy solution of stiff PDEs such as the Allen-Cahn, Korteweg-de Vries and Ginzburg-Landau equations.…