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math.NA2024
A new approach to convergence analysis of iterative models with optimal error bounds
Minh-Phuong Tran, Thanh-Nhan Nguyen, Thai-Hung Nguyen +4
In this paper, we study a new approach related to the convergence analysis of Ishikawa-type iterative models to a common fixed point of two non-expansive mappings in Banach spaces.…
math.NA2012
Random walk in random environment, corrector equation, and homogenized coefficients: from theory to numerics, back and forth
A. -C. Egloffe, A. Gloria, J. -C. Mourrat +1
This article is concerned with numerical methods to approximate effective coefficients in stochastic homogenization of discrete linear elliptic equations, and their numerical analy…