Pub Date : 2022-08-01DOI: 10.1016/j.amc.2022.127087
Yanan Yan, Libing Wu, W. Yan, Yuhan Hu, Nan-nan Zhao, Ming Chen
{"title":"Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems","authors":"Yanan Yan, Libing Wu, W. Yan, Yuhan Hu, Nan-nan Zhao, Ming Chen","doi":"10.1016/j.amc.2022.127087","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127087","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"88 1","pages":"127087"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75405318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-01DOI: 10.1016/j.amc.2022.127120
Taras Bodnar, M. Lindholm, Vilhelm Niklasson, Erik Thorsén
{"title":"Bayesian portfolio selection using VaR and CVaR","authors":"Taras Bodnar, M. Lindholm, Vilhelm Niklasson, Erik Thorsén","doi":"10.1016/j.amc.2022.127120","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127120","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"147 1","pages":"127120"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85440655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-01DOI: 10.1016/j.amc.2022.127130
L. Caraballo, J. Díaz-Báñez, F. Rodriguez, V. Sánchez-Canales, I. Ventura
{"title":"Scaling and compressing melodies using geometric similarity measures","authors":"L. Caraballo, J. Díaz-Báñez, F. Rodriguez, V. Sánchez-Canales, I. Ventura","doi":"10.1016/j.amc.2022.127130","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127130","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"66 1","pages":"127130"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80130516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-01DOI: 10.1016/j.amc.2022.127123
S. Harshavarthini, O. Kwon, S. Lee
{"title":"Uncertainty and disturbance estimator-based resilient tracking control design for fuzzy semi-Markovian jump systems","authors":"S. Harshavarthini, O. Kwon, S. Lee","doi":"10.1016/j.amc.2022.127123","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127123","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"58 1","pages":"127123"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77458564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-21DOI: 10.48550/arXiv.2207.10531
Anna Ivagnes, G. Stabile, A. Mola, T. Iliescu, G. Rozza
In this paper, we propose hybrid data-driven ROM closures for fluid flows. These new ROM closures combine two fundamentally different strategies: (i) purely data-driven ROM closures, both for the velocity and the pressure; and (ii) physically based, eddy viscosity data-driven closures, which model the energy transfer in the system. The first strategy consists in the addition of closure/correction terms to the governing equations, which are built from the available data. The second strategy includes turbulence modeling by adding eddy viscosity terms, which are determined by using machine learning techniques. The two strategies are combined for the first time in this paper to investigate a two-dimensional flow past a circular cylinder at Re=50000. Our numerical results show that the hybrid data-driven ROM is more accurate than both the purely data-driven ROM and the eddy viscosity ROM.
{"title":"Hybrid Data-Driven Closure Strategies for Reduced Order Modeling","authors":"Anna Ivagnes, G. Stabile, A. Mola, T. Iliescu, G. Rozza","doi":"10.48550/arXiv.2207.10531","DOIUrl":"https://doi.org/10.48550/arXiv.2207.10531","url":null,"abstract":"In this paper, we propose hybrid data-driven ROM closures for fluid flows. These new ROM closures combine two fundamentally different strategies: (i) purely data-driven ROM closures, both for the velocity and the pressure; and (ii) physically based, eddy viscosity data-driven closures, which model the energy transfer in the system. The first strategy consists in the addition of closure/correction terms to the governing equations, which are built from the available data. The second strategy includes turbulence modeling by adding eddy viscosity terms, which are determined by using machine learning techniques. The two strategies are combined for the first time in this paper to investigate a two-dimensional flow past a circular cylinder at Re=50000. Our numerical results show that the hybrid data-driven ROM is more accurate than both the purely data-driven ROM and the eddy viscosity ROM.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"6 1","pages":"127920"},"PeriodicalIF":0.0,"publicationDate":"2022-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85124097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-15DOI: 10.48550/arXiv.2207.07349
M. Falcone, G. Kirsten, Luca Saluzzi
We consider the approximation of some optimal control problems for the Navier-Stokes equation via a Dynamic Programming approach. These control problems arise in many industrial applications and are very challenging from the numerical point of view since the semi-discretization of the dynamics corresponds to an evolutive system of ordinary differential equations in very high dimension. The typical approach is based on the Pontryagin maximum principle and leads to a two point boundary value problem. Here we present a different approach based on the value function and the solution of a Bellman, a challenging problem in high dimension. We mitigate the curse of dimensionality via a recent multilinear approximation of the dynamics coupled with a dynamic programming scheme on a tree structure. We discuss several aspects related to the implementation of this new approach and we present some numerical examples to illustrate the results on classical control problems studied in the literature.
{"title":"Approximation of Optimal Control Problems for the Navier-Stokes equation via multilinear HJB-POD","authors":"M. Falcone, G. Kirsten, Luca Saluzzi","doi":"10.48550/arXiv.2207.07349","DOIUrl":"https://doi.org/10.48550/arXiv.2207.07349","url":null,"abstract":"We consider the approximation of some optimal control problems for the Navier-Stokes equation via a Dynamic Programming approach. These control problems arise in many industrial applications and are very challenging from the numerical point of view since the semi-discretization of the dynamics corresponds to an evolutive system of ordinary differential equations in very high dimension. The typical approach is based on the Pontryagin maximum principle and leads to a two point boundary value problem. Here we present a different approach based on the value function and the solution of a Bellman, a challenging problem in high dimension. We mitigate the curse of dimensionality via a recent multilinear approximation of the dynamics coupled with a dynamic programming scheme on a tree structure. We discuss several aspects related to the implementation of this new approach and we present some numerical examples to illustrate the results on classical control problems studied in the literature.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"8 1","pages":"127722"},"PeriodicalIF":0.0,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89040158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-13DOI: 10.1016/j.amc.2022.127445
A. Coclite, M. D. Tullio, G. Pascazio, T. Politi
{"title":"Characterization of micro-Capsules Deformation in Branching Channels","authors":"A. Coclite, M. D. Tullio, G. Pascazio, T. Politi","doi":"10.1016/j.amc.2022.127445","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127445","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"19 1","pages":"127445"},"PeriodicalIF":0.0,"publicationDate":"2022-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74927188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-05DOI: 10.48550/arXiv.2207.02067
S. Jöns, C. Munz
In this paper, we consider Riemann solvers with phase transition effects based on the Euler-Fourier equation system. One exact and two approximate solutions of the two-phase Riemann problem are obtained by modelling the phase transition process via the theory of classical irreversible thermodynamics. Closure is obtained by appropriate Onsager coefficients for evaporation and condensation. We use the proposed Riemann solvers in a sharp-interface level-set ghost fluid method to couple the individual phases with each other. The Riemann solvers are validated against molecular dynamics data of evaporating Lennard-Jones truncated and shifted fluid. We further study the effects of phase transition on a shock-drop interaction with the novel approximate Riemann solvers.
{"title":"Riemann Solvers for Phase Transition in a Compressible Sharp-Interface Method","authors":"S. Jöns, C. Munz","doi":"10.48550/arXiv.2207.02067","DOIUrl":"https://doi.org/10.48550/arXiv.2207.02067","url":null,"abstract":"In this paper, we consider Riemann solvers with phase transition effects based on the Euler-Fourier equation system. One exact and two approximate solutions of the two-phase Riemann problem are obtained by modelling the phase transition process via the theory of classical irreversible thermodynamics. Closure is obtained by appropriate Onsager coefficients for evaporation and condensation. We use the proposed Riemann solvers in a sharp-interface level-set ghost fluid method to couple the individual phases with each other. The Riemann solvers are validated against molecular dynamics data of evaporating Lennard-Jones truncated and shifted fluid. We further study the effects of phase transition on a shock-drop interaction with the novel approximate Riemann solvers.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"37 1","pages":"127624"},"PeriodicalIF":0.0,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73598485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.1016/j.amc.2022.127108
J. Mackolil, B. Mahanthesh
{"title":"Computational simulation of surface tension and gravitation-induced convective flow of a nanoliquid with cross-diffusion: An optimization procedure","authors":"J. Mackolil, B. Mahanthesh","doi":"10.1016/j.amc.2022.127108","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127108","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"37 1","pages":"127108"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75434189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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