Time-adaptive GWRM Lorenz 1984

Published: 22 December 2017| Version 1 | DOI: 10.17632/kd64x354w6.1
Kristoffer Lindvall


The Generalized Weighted Residual Method, being a time-spectral algorithm, seeks to increase the time intervals in the computation without degrading the efficiency, accuracy, and stability. It does this by postulating a solution ansatz as a sum of weighted Chebyshev polynomials, in combination with the Galerkin method, to create a set of linear/non-linear algebraic equations. These algebraic equations are then solved iteratively using a Semi Implicit Root solver (SIR), which has been chosen due to its enhanced global convergence properties. Furthermore, to achieve a desired accuracy across the entire domain, a time-adaptive algorithm has been developed. By evaluating the magnitudes of the Chebyshev coefficients in the time dimension of the solution ansatz, the time interval can either be decreased or increased.



Kungliga Tekniska Hogskolan, Hong Kong University of Science and Technology


Mathematics, Physics, Computer Simulation