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math.NA2026
Fully discrete multi-entropy-stable compact Runge--Kutta discontinuous Galerkin methods for hyperbolic conservation laws
Zheng Sun
We develop fully discrete multi-entropy-stable high-order compact Runge--Kutta discontinuous Galerkin (cRKDG) methods for hyperbolic conservation laws. Our main result is a weak ce…
math.NA2026
On Energy Laws and Stability of First-Subdiagonal Pade Approximants for Linear Seminegative Problems
Miaosen Jiao, Zheng Sun, Kailiang Wu
We derive an explicit discrete energy identity for rational time discretizations generated by the first-subdiagonal Padé approximants of the exponential for solving linear seminega…