Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications

DOI10.1016/j.apnum.2018.12.003zbMath1436.65210OpenAlexW2902489548WikidataQ128813476 ScholiaQ128813476MaRDI QIDQ1989373

Estelle Piot, Florian Monteghetti, Denis Matignon

Publication date: 21 April 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://oatao.univ-toulouse.fr/21827/1/Monteghetti_21827..pdf

zbMATH Keywords

fractional calculuseigenvalue problemsfractional derivativediffusive representationcompletely monotone kernelnon-classical method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Numerical methods for eigenvalue problems in integral equations (65R15)

Uses Software

• quadgk
• ML
• quadva

Cites Work

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• Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems
• The Grünwald-Letnikov method for fractional differential equations
• An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
• Efficient solution of a wave equation with fractional-order dissipative terms
• Representations with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions
• Exponential stabilization of Volterra integral equations with singular kernels
• Fractals and fractional calculus in continuum mechanics
• An analysis of the discontinuous Galerkin method for wave propagation problems
• On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
• An improved non-classical method for the solution of fractional differential equations
• Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions
• Models of dielectric relaxation based on completely monotone functions
• Vectorized adaptive quadrature in MATLAB
• Asymptotic stability of Webster-Lokshin equation
• Diffusive Approximation of a Time-Fractional Burger's Equation in Nonlinear Acoustics
• Stability, Control, and Computation for Time-Delay Systems
• Discretized Fractional Calculus
• A Fast Time Stepping Method for Evaluating Fractional Integrals
• Identification of the dynamics of a lead acid battery by a diffusive model
• Stability properties for generalized fractional differential systems
• Diffusive representation of pseudo-differential time-operators
• One-Parameter Semigroups for Linear Evolution Equations
• Well-Posedness and Stabilizability of a Viscoelastic Equation in Energy Space
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
• Quadrature Based Approximations of Non-integer Order Integrator on Finite Integration Interval
• Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
• Dissipative systems analysis and control. Theory and applications

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