Develops a multiplier-based framework via linear programming to prove energy dissipation for IMEX-LMMs up to order 8 on gradient flows, with first results claimed for BDF6 and orders above 6.
Algorithms in Real Algebraic Geometry , SERIES =
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Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using General Multipliers
Develops a multiplier-based framework via linear programming to prove energy dissipation for IMEX-LMMs up to order 8 on gradient flows, with first results claimed for BDF6 and orders above 6.