Time discretization of an abstract problem applying to the linearized equations of coupled sound and heat flow

2020/01/02 by Shunsuke Kurima, Kurima, Shunsuke
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2001.00325

openalex publication_date 2020/01/02 · openalex created_date 2020/01/10 · openalex updated_date 2026/07/28

Abstract

In this paper we deal with an abstract problem which includes the linearized equations of coupled sound and heat flow as an example. Recently, a time discretization of a simultaneous abstract evolution equation applying to some parabolic-hyperbolic phase-field systems has been studied. This paper focuses on a time discretization of an abstract problem applying to the linearized equations of coupled sound and heat flow. Also, this paper gives some parabolic-hyperbolic phase-field systems as examples.

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