Roundoff error problems in interpolation methods for time-fractional problems (Q6577616)

scientific article; zbMATH DE number 7885884

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English	Roundoff error problems in interpolation methods for time-fractional problems	scientific article; zbMATH DE number 7885884

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instance of

scholarly article

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title

Roundoff error problems in interpolation methods for time-fractional problems (English)

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Applied Numerical Mathematics

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publication date

24 July 2024

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zbMATH Keywords

roundoff error

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catastrophic cancellation

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time-fractional problem

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sum-of-exponentials approximation

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MaRDI profile type

Publication

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cites work

A new difference scheme for the time fractional diffusion equation

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Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem

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Time-fractional Allen-Cahn equations: analysis and numerical methods

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Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation

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A second order energy dissipative scheme for time fractional $L^2$ gradient flows using SAV approach

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping

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A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem

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Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions

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The accuracy and stability of an implicit solution method for the fractional diffusion equation

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A second-order fast compact scheme with unequal time-steps for subdiffusion problems

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

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Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations

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Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_{\sigma}$ scheme for time fractional Allen-Cahn model

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation

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Error analysis of a high order method for time-fractional diffusion equations

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A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

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A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations

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Energy stable L2 schemes for time-fractional phase-field equations

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Global-in-time $H^1$-stability of $\mathrm{L}2$-$1_\sigma$ method on general nonuniform meshes for subdiffusion equation

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${\boldsymbol{H^1}}$ -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation

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Long time $H^1$-stability of fast $\mathrm{L}2$-$1_\sigma$ method on general nonuniform meshes for subdiffusion equations

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Spectral Methods

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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A fully discrete difference scheme for a diffusion-wave system

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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Spectral Methods in MATLAB

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Compatible $L^2$ norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection

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Adaptive finite element method for fractional differential equations using hierarchical matrices

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A Fast High Order Method for the Time-Fractional Diffusion Equation

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.APNUM.2024.04.008

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Sitelinks

Mathematics(1 entry)

mardi Publication:6577616