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math.NA2024
An alternating low-rank projection approach for partial differential equations with random inputs
Guanjie Wang, Qifeng Liao
It is known that standard stochastic Galerkin methods face challenges when solving partial differential equations (PDEs) with random inputs. These challenges are typically attribut…
math.NA2023
An adaptive ANOVA stochastic Galerkin method for partial differential equations with high-dimensional random inputs
Guanjie Wang, Smita Sahu, Qifeng Liao
It is known that standard stochastic Galerkin methods encounter challenges when solving partial differential equations with high-dimensional random inputs, which are typically caus…
math.NA2022
Reduced basis stochastic Galerkin methods for partial differential equations with random inputs
Guanjie Wang, Qifeng Liao
We present a reduced basis stochastic Galerkin method for partial differential equations with random inputs. In this method, the reduced basis methodology is integrated into the st…