2 papers
math.NA2026
Parametric Sensitivity of POD Reduced-Order Models for Semilinear Evolution Equations with Applications to G-Equations
Shengbo Ma, Luhao Xue, Zhiwen Zhang
Proper Orthogonal Decomposition (POD) provides low-dimensional surrogate models of evolution equations from solution snapshots. In parameterized problems, however, a basis computed…
math.NA2026
A Recursive Polynomial Chaos Evolution Method for Stochastic Differential Equations
Guillaume Bal, Shengbo Ma, Su Zhang +1
Numerical simulation of stochastic differential equations over long time intervals poses significant computational challenges. In this paper, we propose a novel recursive polynomia…