Develops a Laguerre spectral minimum action method with time rescaling and improved quadrature for efficient quasi-potential computation in infinite-horizon problems.
Shen, Efficient spectral-Galerkin method I
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New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.
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An Efficient Laguerre Minimum Action Method for Computing Quasi-Potentials
Develops a Laguerre spectral minimum action method with time rescaling and improved quadrature for efficient quasi-potential computation in infinite-horizon problems.
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Energetic Spectral-Element Time Marching Methods for Phase-Field Nonlinear Gradient Systems
New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.