The parareal algorithm is shown to converge linearly for semilinear parabolic PDEs with H^2 initial data by using stable rational approximations and first-order linearization as coarse propagators, with a sharp convergence factor estimate.
Multiscale Model
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Linear Convergence of Parareal Algorithm for Semilinear Parabolic Equations
The parareal algorithm is shown to converge linearly for semilinear parabolic PDEs with H^2 initial data by using stable rational approximations and first-order linearization as coarse propagators, with a sharp convergence factor estimate.