Second-order difference approximations for Volterra equations with the completely monotonic kernels
From MaRDI portal
Publication:2424036
DOI10.1007/s11075-018-0580-5zbMath1422.45011OpenAlexW2888145986MaRDI QIDQ2424036
Publication date: 21 June 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-0580-5
integro-differential equationscompletely monotonic kernelssecond-order backward difference time-stepping schemesweighted \(l^1\) asymptotic convergence behavior
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Functional-differential equations in abstract spaces (34K30) Theoretical approximation of solutions to integral equations (45L05)
Related Items
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels ⋮ Mittag-Leffler stability of numerical solutions to time fractional ODEs ⋮ A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel ⋮ Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations
Cites Work
- Unnamed Item
- 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
- Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- 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
- Numerical solution via Laplace transforms of a fractional order evolution equation
- Convolution quadrature and discretized operational calculus. I
- Uniform \(L^ 1\) behavior in classes of integrodifferential equations with convex kernels
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- Numerical asymptotic stability for the integro-differential equations with the multi-term kernels
- Convolution quadrature revisited
- 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
- Uniform l1 behaviour for time discretization of a Volterra equation with completely monotonic kernel: I. stability
- The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence
- Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
- An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
- Discontinuous Galerkin method for an evolution equation with a memory term of positive type
- Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
- A Numerical Method for a Partial Integro-Differential Equation
- Resolvent Formulas for a Volterra Equation in Hilbert Space
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential 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
- Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel
- Complete Monotonicity and Resolvents of Volterra Integrodifferential Equations
- Time discretization of an evolution equation via Laplace transforms
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel
- Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation
- A special stability problem for linear multistep methods
