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math.NA2021
Convergence of a finite difference scheme for the Kuramoto--Sivashinsky equation defined on an expanding circle
Shunsuke Kobayashi, Shigetoshi Yazaki
This paper presents a finite difference method combined with the Crank--Nicolson scheme of the Kuramoto--Sivashinsky equation defined on an expanding circle (\cite{KUY}), and the e…
hep-th2021★ 10 cited
Atiyah-Patodi-Singer index theorem from axial anomaly
Shun K. Kobayashi, Kazuya Yonekura
We give a very simple derivation of the Atiyah-Patodi-Singer (APS) index theorem and its small generalization by using the path integral of massless Dirac fermions. It is based on…