Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach

The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

(2013) Marta D’Elia et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

(2013) Xiaochuan Tian et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Indefinite block triangular preconditioner for symmetric saddle point problems

(2012) Shi-Liang Wu et al.   CALCOLO

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

(2012) Qiang Du et al.   SIAM REVIEW

Entropy solution theory for fractional degenerate convection–diffusion equations

(2011) Simone Cifani et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Nonlinear Porous Medium Flow with Fractional Potential Pressure

(2011) Luis Caffarelli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

The discontinuous Galerkin method for fractional degenerate convection-diffusion equations

(2011) Simone Cifani et al.   BIT NUMERICAL MATHEMATICS

Barenblatt profiles for a nonlocal porous medium equation

(2011) Piotr Biler et al.   COMPTES RENDUS MATHEMATIQUE

A fractional porous medium equation

(2010) Arturo de Pablo et al.   ADVANCES IN MATHEMATICS

The discontinuous Galerkin method for fractal conservation laws

(2010) S. Cifani et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE

(2010) Imran H. Biswas et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A numerical method for fractal conservation laws

(2009) Jérôme Droniou   MATHEMATICS OF COMPUTATION

ERROR ESTIMATES FOR A CLASS OF FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES

(2008) IMRAN H. BISWAS et al.   Journal of Hyperbolic Differential Equations