Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation

On existence and regularity of a terminal value problem for the time fractional diffusion equation

(2020) Tuan Nguyen Huy et al.   INVERSE PROBLEMS

Numerical Analysis of Backward Subdiffusion Problems

(2020) Zhengqi Zhang et al.   INVERSE PROBLEMS

Backward problems in time for fractional diffusion-wave equation

(2020) Giuseppe Floridia et al.   INVERSE PROBLEMS

Subdiffusion with a time-dependent coefficient: Analysis and numerical solution

(2019) Bangti Jin et al.   MATHEMATICS OF COMPUTATION

Fast and Parallel Runge--Kutta Approximation of Fractional Evolution Equations

(2019) Marina Fischer   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Stability Results for Backward Time-Fractional Parabolic Equations

(2019) Dinh Nho Hao et al.   INVERSE PROBLEMS

Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously

(2019) Kaifang Liao et al.   INVERSE PROBLEMS

The backward problem for a time-fractional diffusion-wave equation in a bounded domain

(2018) Ting Wei et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements

(2018) Jaan Janno et al.   INVERSE PROBLEMS

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

(2018) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Efficient high order algorithms for fractional integrals and fractional differential equations

(2018) L. Banjai et al.   NUMERISCHE MATHEMATIK

A Kernel Compression Scheme for Fractional Differential Equations

(2017) Daniel Baffet et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2017) Martin Stynes et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2017) Bangti Jin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

(2016) Bangti Jin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A tutorial on inverse problems for anomalous diffusion processes

(2015) Bangti Jin et al.   INVERSE PROBLEMS

A parareal method for time-fractional differential equations

(2015) Qinwu Xu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Time-stepping error bounds for fractional diffusion problems with non-smooth initial data

(2015) William McLean et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

(2014) Ralf Metzler et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

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

(2014) K. Mustapha et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A modified quasi-boundary value method for the backward time-fractional diffusion problem

(2013) Ting Wei et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Total variation regularization for a backward time-fractional diffusion problem

(2013) Liyan Wang et al.   INVERSE PROBLEMS

Fractional Sturm–Liouville eigen-problems: Theory and numerical approximation

(2013) Mohsen Zayernouri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solving a final value fractional diffusion problem by boundary condition regularization

(2012) Ming Yang et al.   APPLIED NUMERICAL MATHEMATICS

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

(2011) Kenichi Sakamoto et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A backward problem for the time-fractional diffusion equation

(2010) J.J. Liu et al.   APPLICABLE ANALYSIS

Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function

(2008) Hansjörg Seybold et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory

(2008) María López-Fernández et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING