Fourth-order time-stepping for stiff PDEs on the sphere
H Montanelli, Y Nakatsukasa - SIAM Journal on Scientific Computing, 2018 - SIAM
We present in this paper algorithms for solving stiff PDEs on the unit sphere with spectral
accuracy in space and fourth-order accuracy in time. These are based on a variant of the …
accuracy in space and fourth-order accuracy in time. These are based on a variant of the …
[PDF][PDF] Numerical algorithms for differential equations with periodicity
H Montanelli - 2017 - ora.ox.ac.uk
This thesis presents new numerical methods for solving differential equations with
periodicity. Spectral methods for solving linear and nonlinear ODEs, linear ODE eigenvalue …
periodicity. Spectral methods for solving linear and nonlinear ODEs, linear ODE eigenvalue …