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math.NA2020
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs
Xiangmin Jiao, Xuebin Wang, Qiao Chen
Runge-Kutta (RK) schemes, especially Gauss-Legendre and some other fully implicit RK (FIRK) schemes, are desirable for the time integration of parabolic partial differential equati…
math.NA2020
Approximate Generalized Inverses with Iterative Refinement for -Accurate Preconditioning of Singular Systems
Xiangmin Jiao, Qiao Chen
We introduce a new class of preconditioners to enable flexible GMRES to find a least-squares solution, and potentially the pseudoinverse solution, of large-scale sparse, asymmetric…