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An efficient SPDE approach for El Niño
ArticleAbstract: We consider the numerical approximation of stochastic partial differential equations (SPDEs) based mPalabras claves:Differential Lyapunov equations, Differential matrix equations, El Niño simulations, Stochastic differential equations, Stochastic Galerkin methodsAutores:Hermann Mena, Lena Maria PfurtschellerFuentes:scopusGPU acceleration of splitting schemes applied to differential matrix equations
ArticleAbstract: We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equaPalabras claves:Differential Lyapunov equations, Differential Riccati equations, GPU acceleration, large scale, Splitting schemesAutores:Hermann Mena, Lena Maria Pfurtscheller, Stillfjord T.Fuentes:scopusDiscounted cost linear quadratic Gaussian control for descriptor systems
ArticleAbstract: We consider the linear quadratic Gaussian control problem with a discounted cost functional for descPalabras claves:Descriptor systems, dissipation inequality, Kalman–Yakubovich–Popov inequality, linear quadratic Gaussian control, Navier–Stokes equationAutores:Hermann Mena, Lena Maria Pfurtscheller, Voigt M.Fuentes:scopusNumerical low-rank approximation of matrix differential equations
ArticleAbstract: The efficient numerical integration of large-scale matrix differential equations is a topical problePalabras claves:Differential Lyapunov equations, Differential Riccati equations, Dynamical low-rank approximation, El Niño simulation, Linear quadratic regulator problem, Splitting integratorsAutores:Hermann Mena, Lena Maria Pfurtscheller, Ostermann A., Piazzola C.Fuentes:scopusRandom perturbations in a mathematical model of bacterial resistance: Analysis and optimal control
ArticleAbstract: In this work, we study a mathematical model for the interaction of sensitive-resistant bacteria to aPalabras claves:Antibiotics, Deterministic model, Equilibrium solutions, Optimal control problem, resistant bacteria, sensitive bacteria, stability, stochastic modelAutores:Hermann Mena, Jhoana P. Romero-Leiton, Lena Maria PfurtschellerFuentes:scopusSolving stochastic LQR problems by polynomial chaos
ArticleAbstract: We consider the infinite dimensional stochastic linear quadratic optimal control problem for the infPalabras claves:computational methods, Stochastic optimal controlAutores:Hermann Mena, Lena Maria Pfurtscheller, Levajkovic T.Fuentes:scopus