Adapting quantum chemistry methods reduces memory for nonlinear Landau collision operator discretization by four orders of magnitude, enables relaxation tests, and shows linearization introduces fourfold angular errors while preserving invariants.
Grad, On the kinetic theory of rarefied gases, Com- munications on Pure and Applied Mathematics2, 331 (1949)
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Unit-circle moment closure recasts moment hierarchy closure as analytic continuation on mapped bounded moments, using Takagi-Prony to reconstruct tails from generating-function poles.
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Nonlinear Landau Collisions Without Collision Tensors
Adapting quantum chemistry methods reduces memory for nonlinear Landau collision operator discretization by four orders of magnitude, enables relaxation tests, and shows linearization introduces fourfold angular errors while preserving invariants.
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Unit-Circle Moment Closure
Unit-circle moment closure recasts moment hierarchy closure as analytic continuation on mapped bounded moments, using Takagi-Prony to reconstruct tails from generating-function poles.