Diagonalization-based preconditioners and generalized convergence bounds for ParaOpt

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Methods involving semicontinuity and convergence; relaxation (49J45) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08)

Cites Work

Toward an efficient parallel in time method for partial differential equations
A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs
A parallel-in-time approach for accelerating direct-adjoint studies
A note on parallel preconditioning for all-at-once evolutionary PDEs
Convergence analysis of a \textit{periodic-like} waveform relaxation method for initial-value problems via the diagonalization technique
A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms
A ``parareal in time discretization of PDE's
Toward Parallel Coarse Grid Correction for the Parareal Algorithm
Optimization with PDE Constraints
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations
PARAOPT: A Parareal Algorithm for Optimality Systems
An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
Time Parallelization for Nonlinear Problems Based on Diagonalization
Numerical Methods for Structured Markov Chains
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
A Fast Block $\alpha$-Circulant Preconditoner for All-at-Once Systems From Wave Equations
A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems
On generalized preconditioners for time-parallel parabolic optimal control

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