FDR achieves the optimal O(1/N^2) rate with improved constants for proximal minimization of convex plus strongly convex functions and proves a matching lower bound.
Journal of the Society for Industrial and Applied Mathematics3(1), 28–41 (1955)
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KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.
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Optimal Acceleration for Proximal Minimization of the Sum of Convex and Strongly Convex Functions
FDR achieves the optimal O(1/N^2) rate with improved constants for proximal minimization of convex plus strongly convex functions and proves a matching lower bound.
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ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.