Imre Fekete
57218216656
Publications - 2
Operator semigroups for convergence analysis
Publication Name: Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics
Publication Date: 2015-01-01
Volume: 9045
Issue: Unknown
Page Range: 38-49
Description:
The paper serves as a review on the basic results showing how functional analytic tools have been applied in numerical analysis. It deals with abstract Cauchy problems and present how their solutions are approximated by using space and time discretisations. To this end we introduce and apply the basic notions of operator semigroup theory. The convergence is analysed through the famous theorems of Trotter and Kato, Lax, and Chernoff. We also list some of their most important applications.
Open Access: Yes
Parametric Analysis of Metal Matrix Syntactic Foams
Publication Name: Lecture Notes in Mechanical Engineering
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: 15-33
Description:
Metal matrix syntactic foams are playing an increasingly important role in different structures. Their application is primarily aimed at weight reduction and energy absorption. The present research uses sensitivity analysis, response surface methodology, and principal component analysis to quantify the effect of matrix yield strength, matrix-to-filler ratio, ceramic sphere wall strength, and wall thickness-to-diameter ratio on the critical compressive strength of metal matrix syntactic foam. It was found that the thickness-to-diameter ratio and strength of the sphere wall are the determining factors in the evolution of the compressive strength, but the matrix strength has less effect on the output.
Open Access: Yes
