The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence
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Publication:2808869
DOI10.1002/num.22035zbMath1342.65242OpenAlexW2185789876MaRDI QIDQ2808869
Publication date: 25 May 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22035
integro-differential equationsnumerical resultsbackward Euler methodtime discretizationconvolution quadraturecompletely monotonic convolution kernelVolterra evolutionary integral equationweighted \(l^1\) convergence
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Cites Work
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- The long time error analysis in the second order difference type method of an evolutionary integral equation with completely monotonic kernel
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces
- Stability of the difference type methods for linear Volterra equations in Hilbert spaces
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
- Convolution quadrature and discretized operational calculus. I
- Uniform \(L^ 1\) behavior in classes of integrodifferential equations with convex kernels
- Convolution quadrature revisited
- A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces
- The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability
- Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Uniform l1 behaviour for time discretization of a Volterra equation with completely monotonic kernel: I. stability
- Discontinuous Galerkin method for an evolution equation with a memory term of positive type
- Uniform l1 behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel I: stability
- Uniform $l^1$ Behavior of a Time Discretization Method for a Volterra Integrodifferential Equation with Convex Kernel; Stability
- Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels
- Convolution quadrature time discretization of fractional diffusion-wave equations
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Uniform $l^{1}$ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence
- Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- A Numerical Method for a Partial Integro-Differential Equation
- Uniform $L^1 $ Behavior for the Solution of a Volterra Equation with a Parameter
- Resolvent Formulas for a Volterra Equation in Hilbert Space
- A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
- Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations
- An integro-differential equation with application in heat flow
- A Nonhomogeneous Integrodifferential Equation in Hilbert Space
- Uniform 𝐿¹ behavior in a class of linear Volterra equations
- Numerical solution of an evolution equation with a positive-type memory term
- Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
- Complete Monotonicity and Resolvents of Volterra Integrodifferential Equations
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- ADI orthogonal spline collocation methods for parabolic partial integro-differential equations
- What is the Laplace Transform?
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