Solving the Caputo Fractional Reaction-Diffusion Equation on GPU

An efficient parallel solution for Caputo fractional reaction–diffusion equation

(2014) Chunye Gong et al.   JOURNAL OF SUPERCOMPUTING

A Parallel Algorithm for the Two-Dimensional Time Fractional Diffusion Equation with Implicit Difference Method

(2014) Chunye Gong et al.   TheScientificWorldJOURNAL

A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation

(2014) Chunye Gong et al.   TheScientificWorldJOURNAL

A Three-Stage Optimization Algorithm for the Stochastic Parallel Machine Scheduling Problem with Adjustable Production Rates

(2013) Rui Zhang   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Exploiting hierarchy parallelism for molecular dynamics on a petascale heterogeneous system

(2013) Qiang Wu et al.   JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING

A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method

(2013) Chunye Gong et al.   Fractional Calculus and Applied Analysis

Ulam's Type Stability

(2012) Janusz Brzdęk et al.   Abstract and Applied Analysis

Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk

(2012) Rabha W. Ibrahim   Abstract and Applied Analysis

On Some Recent Developments in Ulam's Type Stability

(2012) Nicole Brillouët-Belluot et al.   Abstract and Applied Analysis

Efficient parallel implementation of large scale 3D structured grid CFD applications on the Tianhe-1A supercomputer

(2012) Yong-Xian Wang et al.   COMPUTERS & FLUIDS

On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition

(2012) Allaberen Ashyralyev et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition

(2012) Allaberen Ashyralyev et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Analytical solutions to time-fractional partial differential equations in a two-dimensional multilayer annulus

(2012) Shanzhen Chen et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On the generalized Hyers–Ulam stability of module left (m, n)-derivations

(2012) Ajda Fošner   Aequationes Mathematicae

Spectral approximations to the fractional integral and derivative

(2012) Changpin Li et al.   Fractional Calculus and Applied Analysis

On the Acceleration of Wavefront Applications using Distributed Many-Core Architectures

(2011) S. J. Pennycook et al.   COMPUTER JOURNAL

An analytic algorithm for the space–time fractional advection–dispersion equation

(2011) Ram K. Pandey et al.   COMPUTER PHYSICS COMMUNICATIONS

Particle transport with unstructured grid on GPU

(2011) Chunye Gong et al.   COMPUTER PHYSICS COMMUNICATIONS

The short memory principle for solving Abel differential equation of fractional order

(2011) Yufeng Xu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

GPU accelerated simulations of 3D deterministic particle transport using discrete ordinates method

(2011) Chunye Gong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The TianHe-1A Supercomputer: Its Hardware and Software

(2011) Xue-Jun Yang et al.   JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY

An efficient parallel algorithm for the numerical solution of fractional differential equations

(2011) Kai Diethelm   Fractional Calculus and Applied Analysis

On the solutions of time-fractional reaction–diffusion equations

(2010) S.Z. Rida et al.   Communications in Nonlinear Science and Numerical Simulation

Further solutions of fractional reaction–diffusion equations in terms of the H -function

(2010) H.J. Haubold et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

JASMIN: a parallel software infrastructure for scientific computing

(2010) Zeyao Mo et al.   Frontiers of Computer Science in China

Numerical simulation for the 3D seepage flow with fractional derivatives in porous media

(2009) Q. Liu et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Optimization of sparse matrix–vector multiplication on emerging multicore platforms

(2008) Samuel Williams et al.   PARALLEL COMPUTING

Mathematical modeling of time fractional reaction–diffusion systems

(2007) V. Gafiychuk et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS