A Numerically Efficient Dissipation-Preserving Implicit Method for a Nonlinear Multidimensional Fractional Wave Equation

A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

(2017) J.E. Macías-Díaz   JOURNAL OF COMPUTATIONAL PHYSICS

A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains

(2015) Matteo Bonforte et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations

(2015) Xiaofeng Cai et al.   JOURNAL OF SCIENTIFIC COMPUTING

Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations

(2015) Tao Xiong et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Compact Difference Scheme for Fractional Sub-diffusion Equations with the Spatially Variable Coefficient Under Neumann Boundary Conditions

(2015) Seakweng Vong et al.   JOURNAL OF SCIENTIFIC COMPUTING

Compact Crank–Nicolson Schemes for a Class of Fractional Cattaneo Equation in Inhomogeneous Medium

(2014) Xuan Zhao et al.   JOURNAL OF SCIENTIFIC COMPUTING

Nonequilibrium Stationary States of 3D Self-Gravitating Systems

(2014) Fernanda P. C. Benetti et al.   PHYSICAL REVIEW LETTERS

The Fisher-KPP Equation with Nonlinear Fractional Diffusion

(2014) Diana Stan et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A General Fractional Porous Medium Equation

(2012) Arturo de Pablo et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

An Optimized Low-Dissipation Monotonicity-Preserving Scheme for Numerical Simulations of High-Speed Turbulent Flows

(2012) Jian Fang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Existence of a Nonautonomous SIR Epidemic Model with Age Structure

(2010) Junyuan Yang et al.   Advances in Difference Equations

Statistical mechanics and dynamics of solvable models with long-range interactions

(2009) Alessandro Campa et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation

(2008) S. Shen et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Long-range chromosomal interactions and gene regulation

(2008) Adriana Miele et al.   Molecular BioSystems

Conservation laws and Hamilton’s equations for systems with long-range interaction and memory

(2007) Vasily E. Tarasov et al.   Communications in Nonlinear Science and Numerical Simulation