408 citations
- University of OxfordGB5 papers
- Peking UniversityCN4 papers
- Aalto UniversityFI3 papers
- FORTH Institute of Applied and Computational MathematicsGR3 papers
- University of CreteGR3 papers
- Bournemouth UniversityGB2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Dundalk Institute of TechnologyIE2 papers
- Ferenc Rakoczi II Transcarpathian Hungarian UniversityUA2 papers
- Universidad Carlos III de MadridES2 papers
- University College LondonGB2 papers
- University of ManchesterGB2 papers
4 papers · 1 filter
L1 scheme for solving an inverse problem subject to a fractional diffusion equation
Binjie Li, Xiaoping Xie, Yubin Yan
This paper considers the temporal discretization of an inverse problem subject to a time fractional diffusion equation. Firstly, the convergence of the L1 scheme is established wit…
Numerical Approximation of Stochastic Time-Fractional Diffusion
Bangti Jin, Yubin Yan, Zhi Zhou
We develop and analyze a numerical method for stochastic time-fractional diffusion driven by additive fractionally integrated Gaussian noise. The model involves two nonlocal terms…
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani
For the case of approximation of convection--diffusion equations using piecewise affine continuous finite elements a new edge-based nonlinear diffusion operator is proposed that ma…
Superfast solution of linear convolutional Volterra equations using QTT approximation
Jason A. Roberts, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
We address a linear fractional differential equation and develop effective solution methods using algorithms for inversion of triangular Toeplitz matrices and the recently proposed…