POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter Identification

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations

(2016) Fanhai Zeng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients

(2016) S. Chen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A parareal method for time-fractional differential equations

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

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

(2015) Rihuan Ke et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations

(2015) Xin Lu et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations

(2015) Zhu Wang   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An inverse problem of parameter estimation for time-fractional heat conduction in a composite medium using carbon–carbon experimental data

(2015) Qiao Zhuang et al.   PHYSICA B-CONDENSED MATTER

Tikhonov regularization method for a backward problem for the time-fractional diffusion equation

(2013) Jun-Gang Wang et al.   APPLIED MATHEMATICAL MODELLING

An inverse problem for a one-dimensional time-fractional diffusion problem

(2012) Bangti Jin et al.   INVERSE PROBLEMS

POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model

(2012) R. Ştefănescu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction

(2012) Saifon Chaturantabut et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media

(2011) Saifon Chaturantabut et al.   MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS

A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems

(2010) Kevin Carlberg et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A coupled method for inverse source problem of spatial fractional anomalous diffusion equations

(2010) Hui Wei et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Experimental evidence of strong anomalous diffusion in living cells

(2010) Naama Gal et al.   PHYSICAL REVIEW E

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

(2009) Jin Cheng et al.   INVERSE PROBLEMS

A Dual-Weighted Approach to Order Reduction in 4DVAR Data Assimilation

(2008) D. N. Daescu et al.   MONTHLY WEATHER REVIEW