Decay properties for the numerical solutions of a partial differential equation with memory
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Publication:2341113
DOI10.1007/s10915-014-9850-0zbMath1309.45009OpenAlexW2101808410WikidataQ115382694 ScholiaQ115382694MaRDI QIDQ2341113
Publication date: 23 April 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9850-0
finite element methodsdecay propertiesconvolution quadraturefrequency domain methodspartial differential equations with memory
Integro-partial differential equations (45K05) Numerical quadrature and cubature formulas (65D32) Numerical solutions to abstract evolution equations (65J08)
Related Items (6)
Long-time behavior of numerical solutions to nonlinear fractional ODEs ⋮ Polynomially bounded error estimates for trapezoidal rule convolution quadrature ⋮ Numerical analysis of Volterra integro-differential equations for viscoelastic rods and membranes ⋮ Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels ⋮ A spectral projection based method for the numerical solution of wave equations with memory ⋮ The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory
Cites Work
- Unnamed Item
- Unnamed Item
- Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces
- A second-order accurate numerical method for a fractional wave equation
- Stability of the difference type methods for linear Volterra equations in Hilbert spaces
- Decay properties for the solutions of a partial differential equation with memory
- Positivity and regularity of hyperbolic Volterra equations in Banach spaces
- Convolution quadrature and discretized operational calculus. I
- On convolution quadrature and Hille-Phillips operational calculus
- Numerical methods for hyperbolic and parabolic integro-differential equations
- The global behavior of time discretization for an abstract Volterra equation in Hilbert space
- Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel
- Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
- Convolution quadrature revisited
- A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces
- Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel
- Decay estimates for second order evolution equations with memory
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Uniform l1 behaviour for time discretization of a Volterra equation with completely monotonic kernel: I. stability
- 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
- ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
- Resolvent Formulas for a Volterra Equation in Hilbert Space
- Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
- A Nonhomogeneous Integrodifferential Equation in Hilbert Space
- Numerical solution of an evolution equation with a positive-type memory term
- Asymptotic Decay for Some Differential Systems with Fading Memory
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Asymptotic behaviour of a semilinear viscoelastic beam model
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