New symmetry reduction method for (1+1)-dimensional differential-difference equations
Frontiers in Physics, 2023 We propose a new symmetry reduction method for (1+1)-dimensional differential-difference equations (DDEs), namely, the λ-symmetry reduction method of solving ordinary differential equations is generalized to DDEs.
Jielin Lyu +3 more
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Dimensionality Reduction Mappings [PDF]
, 2011 A wealth of powerful dimensionality reduction methods has been established which can be used for data visualization and preprocessing. These are accompanied by formal evaluation schemes, which allow a quantitative evaluation along general principles and ...
Hammer, Barbara ; https://orcid.org/ +12 more
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On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers
Karpatsʹkì Matematičnì Publìkacìï, 2021 The balancing number $n$ and the balancer $r$ are solution of the Diophantine equation $$1+2+\cdots+(n-1) = (n+1)+(n+2)+\cdots+(n+r). $$ It is well known that if $n$ is balancing number, then $8n^2 + 1$ is a perfect square and its positive square root is
S.E. Rihane
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Space–time proper generalized decompositions for the resolution of transient elastodynamic models [PDF]
, 2013 In this paper, we investigate ability of proper generalized decomposition (PGD) to solve transient elastodynamic models in space–time domain. Classical methods use time integration schemes and an incremental resolution process.
BOUCINHA, Lucas +2 more
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Some Incipient Techniques For Improving Efficiency in Computational Mechanics [PDF]
, 2008 This contribution presents a review of different techniques available for alleviating simulation cost in computational mechanics. The first one is based on a separated representation of the unknown fields; the second one uses a model reduction based on ...
CHINESTA SORIA, Francisco +4 more
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Resonant semilinear Robin problems with a general potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Carath\'eodory function which is resonant with respect to any nonprincipal eigenvalue both at $\pm \infty$ and 0.
Nikolaos Papageorgiou +2 more
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Ergonomic Risk Reduction Method in Aerospace Manufacturing [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2021 In the aerospace manufacturing, lots of processes cannot be automated and are performed manually by skilled workers. Because there exist some human error mistakes in such manual working processes, root cause investigations of these mistakes are ...
Shigeshi Yamashita, Kodo Ito
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Research on Organic Acids in Fruit Wine and Acid Reduction Strategies
Shipin gongye ke-ji, 2023 The type and content of organic acids have important influence on the quality of fruit wine. Proper amount of organic acids can give fruit wine soft taste, and has certain antibacterial effect.
Ying CAO +5 more
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Error estimation of a proper orthogonal decomposition reduced model of a permanent magnet synchronous machine [PDF]
, 2014 Model order reduction methods, like the proper orthogonal decomposition (POD), enable to reduce dramatically the size of a finite element (FE) model.
MAC, Hung +2 more
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Reliability Equivalence Factors for Coherent System using Survival Signature [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis study presents a methodology aimed at enhancing the performance of coherent systems through the application of survival signature analysis, focusing on the calculation of reliability equivalence factors (REFs).
Deepak, Garima Chopra, Deeksha
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