EVENT

Talk by Prof. JunFeng Yin from Tongji University:
"A class of positive-definte operator splitting iteration methods for variable-coefficient space-fractional diffusion equations"

Title:

A class of positive-definte operator splitting iteration methods for variable-coefficient space-fractional diffusion equations

Speaker:

Professor JunFeng Yin (School of Mathematical Science, Tongji University)

Time/Date:

2:00-3:00pm　/　January 22nd (Tuesday)

Place:

Room 1901 (19th floor), NII

Abstract:

After discretization by the finite volume method, the numerical solution of fractional diffusion equations leads to a linear system with Toeplitz-like structure. Theoretical analysis gives the sufficient conditions to guarantee the positive-definite property of the discretized matrix. Moreover, we develop a class of positive-definite operator splitting iteration method for the numerical solution of fractional diffusion equations, which is unconditionally convergent for any positive constant. Meanwhile, the iteration methods introduce a new preconditioner for Krylov subspace methods. Numerical experiments verify the convergence of the positive-definite operator splitting iteration methods and show the effciency of the proposed preconditioner, compared with the existing approaches.

Contact:

Ken Hayami
hayami [at] nii.ac.jp