The Experts below are selected from a list of 13350 Experts worldwide ranked by ideXlab platform
Erik S. Van Vleck - One of the best experts on this subject based on the ideXlab platform.
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A Lyapunov and Sacker–Sell spectral stability theory for One-Step Methods
BIT Numerical Mathematics, 2018Co-Authors: Andrew J. Steyer, Erik S. Van VleckAbstract:Approximation theory for Lyapunov and Sacker–Sell spectra based upon QR techniques is used to analyze the stability of a One-Step Method solving a time-dependent (nonautonomous) linear ordinary differential equation (ODE) initial value problem in terms of the local error. Integral separation is used to characterize the conditioning of stability spectra calculations. The stability of the numerical solution by a One-Step Method of a nonautonomous linear ODE using real-valued, scalar, nonautonomous linear test equations is justified. This analysis is used to approximate exponential growth/decay rates on finite and infinite time intervals and establish global error bounds for One-Step Methods approximating uniformly, exponentially stable trajectories of nonautonomous and nonlinear ODEs. A time-dependent stiffness indicator and a One-Step Method that switches between explicit and implicit Runge–Kutta Methods based upon time-dependent stiffness are developed based upon the theoretical results.
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A Lyapunov and Sacker-Sell spectral stability theory for One-Step Methods
arXiv: Numerical Analysis, 2015Co-Authors: Andrew J. Steyer, Erik S. Van VleckAbstract:Approximation theory for Lyapunov and Sacker-Sell spectra based upon QR techniques is used to analyze the stability of a One-Step Method solving a time-dependent, linear, ordinary differential equation (ODE) initial value problem in terms of the local error. Integral separation is used to characterize the conditioning of stability spectra calculations. In an approximate sense the stability of the numerical solution by a One-Step Method of a time-dependent linear ODE using real-valued, scalar, time-dependent, linear test equations is justified. This analysis is used to approximate exponential growth/decay rates on finite and infinite time intervals and establish global error bounds for One-Step Methods approximating uniformly stable trajectories of nonautonomous and nonlinear ODEs. A time-dependent stiffness indicator and a One-Step Method that switches between explicit and implicit Runge-Kutta Methods based upon time-dependent stiffness are developed based upon the theoretical results.
Andrew J. Steyer - One of the best experts on this subject based on the ideXlab platform.
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A Lyapunov and Sacker–Sell spectral stability theory for One-Step Methods
BIT Numerical Mathematics, 2018Co-Authors: Andrew J. Steyer, Erik S. Van VleckAbstract:Approximation theory for Lyapunov and Sacker–Sell spectra based upon QR techniques is used to analyze the stability of a One-Step Method solving a time-dependent (nonautonomous) linear ordinary differential equation (ODE) initial value problem in terms of the local error. Integral separation is used to characterize the conditioning of stability spectra calculations. The stability of the numerical solution by a One-Step Method of a nonautonomous linear ODE using real-valued, scalar, nonautonomous linear test equations is justified. This analysis is used to approximate exponential growth/decay rates on finite and infinite time intervals and establish global error bounds for One-Step Methods approximating uniformly, exponentially stable trajectories of nonautonomous and nonlinear ODEs. A time-dependent stiffness indicator and a One-Step Method that switches between explicit and implicit Runge–Kutta Methods based upon time-dependent stiffness are developed based upon the theoretical results.
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A Lyapunov and Sacker-Sell spectral stability theory for One-Step Methods
arXiv: Numerical Analysis, 2015Co-Authors: Andrew J. Steyer, Erik S. Van VleckAbstract:Approximation theory for Lyapunov and Sacker-Sell spectra based upon QR techniques is used to analyze the stability of a One-Step Method solving a time-dependent, linear, ordinary differential equation (ODE) initial value problem in terms of the local error. Integral separation is used to characterize the conditioning of stability spectra calculations. In an approximate sense the stability of the numerical solution by a One-Step Method of a time-dependent linear ODE using real-valued, scalar, time-dependent, linear test equations is justified. This analysis is used to approximate exponential growth/decay rates on finite and infinite time intervals and establish global error bounds for One-Step Methods approximating uniformly stable trajectories of nonautonomous and nonlinear ODEs. A time-dependent stiffness indicator and a One-Step Method that switches between explicit and implicit Runge-Kutta Methods based upon time-dependent stiffness are developed based upon the theoretical results.
Narsaiah Chinthala - One of the best experts on this subject based on the ideXlab platform.
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one step synthesis of 5 substituted 1h tetrazoles from an aldehyde by reaction with acetohydroxamic acid and sodium azide under bi otf 3 catalysis
Synthesis, 2013Co-Authors: Madabhushi Sridhar, Kishore Kumar Reddy Mallu, Raveendra Jillella, Kondal Reddy Godala, China Ramanaiah Beeram, Narsaiah ChinthalaAbstract:An efficient One-Step Method for the synthesis of 5-substituted 1 H -tetrazoles from aldehydes by reaction with acetohydroxamic acid and sodium azide using bismuth(III) triflate as the catalyst is described.
Zhiguang Guo - One of the best experts on this subject based on the ideXlab platform.
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robust and muti repaired superhydrophobic surfaces via one step Method on copper and aluminum alloys
Materials Letters, 2018Co-Authors: Zhiguang GuoAbstract:Abstract Facile preparation, mechanical durability, and fast regeneration are superior factors to expand the application of superhydrophobic surfaces. In this letter, a One-Step immersion process was explored to construct a mechanically and chemically durable superhydrophobic surface on copper and aluminum alloy, respectively, which can also be used when the surfaces were destroyed by mechanical stress or chemical damage. By immersion of the wrecked surfaces in the One-Step regenerative solution or by the spray Method and air dried, the substrates could be easily repaired, regaining the durable superhydrophobic properties.
Marta Sevilla - One of the best experts on this subject based on the ideXlab platform.
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one step synthesis of silica resorcinol formaldehyde spheres and their application for the fabrication of polymer and carbon capsules
Chemical Communications, 2012Co-Authors: Antonio B Fuertes, Patricia Vallevigon, Marta SevillaAbstract:Core@shell spheres made up of a thin layer of resorcinol–formaldehyde enveloping a silica core were prepared by means of a One-Step Method under Stober conditions. These spheres are used as a platform for the synthesis of carbon or polymeric capsules, and functionalized nanocomposites.
