Semi-implicit Euler schemes for ordinary differential inclusions

2013/08/16 by Janosch Rieger, Rieger, Janosch
Computer Science · Engineering · Mathematics · #34A60 #65L20 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Mathematical Biology Tumor Growth #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1308.3641

openalex publication_date 2013/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two semi-implicit Euler schemes for differential inclusions are proposed and analyzed in depth. An error analysis shows that both semi-implicit schemes inherit favorable stability properties from the differential inclusion. Their performance is considerably better than that of the implicit Euler scheme, because instead of implicit inclusions only implicit equations have to be solved for computing their images. In addition, they are more robust with respect to spatial discretization than the implicit Euler scheme.

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