3 papers
math.NA2026
A High-Accuracy Numerical Homogenization Framework for Quasiperiodic Hamilton--Jacobi Equations
Kai Jiang, Meng Li, Juan Zhang +1
In this work, we develop an accurate numerical homogenization framework for computing effective Hamiltonians of quasiperiodic Hamilton--Jacobi equations (QHJEs) with convex Hamilto…
math.NA2026
Accurately computing quasiperiodic parabolic equations within finite-size domains via modeling quasiperiodic boundary conditions
Xiaofang Han, Kai Jiang, Meng Li
Quasiperiodic systems exhibit long-range order without decay and are naturally posed on the whole space. However, in practical applications, computations are performed on finite do…
math.NA2024
Convergence analysis of PM-BDF2 method for quasiperiodic parabolic equations
Kai Jiang, Meng Li, Juan Zhang +1
Numerically solving parabolic equations with quasiperiodic coefficients is a significant challenge due to the potential formation of space-filling quasiperiodic structures that lac…