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math.NA2022
Multitask kernel-learning parameter prediction method for solving time-dependent linear systems
Kai Jiang, Juan Zhang, Qi Zhou
Matrix splitting iteration methods play a vital role in solving large sparse linear systems. Their performance heavily depends on the splitting parameters, however, the approach of…
math.NA2021
Solving time-dependent parametric PDEs by multiclass classification-based reduced order model
Chen Cui, Kai Jiang, Shi Shu
In this paper, we propose a network model, the multiclass classification-based reduced order model (MC-ROM), for solving time-dependent parametric partial differential equations (P…
math.NA2021★ 3 cited
A general alternating-direction implicit framework with Gaussian process regression parameter prediction for large sparse linear systems
Kai Jiang, Xuehong Su, Juan Zhang
This paper proposes an efficient general alternating-direction implicit (GADI) framework for solving large sparse linear systems. The convergence property of the GADI framework is…