4 papers
A High-Accuracy Numerical Homogenization Method for Quasiperiodic Hamilton--Jacobi Equations
Kai Jiang, Meng Li, Juan Zhang +1
In this work, we develop an accurate numerical homogenization method for computing effective Hamiltonians of quasiperiodic Hamilton--Jacobi equations (QHJEs) with convex Hamiltonia…
Accurately computing quasiperiodic parabolic equations within finite-size domains via modeling quasiperiodic boundary conditions
Xiaofang Han, Kai Jiang, Meng Li
Quasiperiodic parabolic equations (QPEs) describe various physical processes in systems with long-range order without decay, such as heat conduction, diffusion, and transport, and…
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…
Projection method for quasiperiodic elliptic equations and application to quasiperiodic homogenization
Kai Jiang, Meng Li, Juan Zhang +1
In this study, we address the challenge of solving elliptic equations with quasiperiodic coefficients. To achieve accurate and efficient computation, we introduce the projection me…