Biorthogonal Rosenbrock-Krylov time discretization methods

R Glandon, P Tranquilli, A Sandu - Applied Numerical Mathematics, 2020 - Elsevier
Many scientific applications require the solution of large initial-value problems, such as
those produced by the method of lines after semi-discretization in space of partial differential …

[PDF][PDF] A rooted-tree based derivation of ROW-type methods with non-exact Jacobian entries for index-one DAEs

T Jax - 2020 - scholar.archive.org
Solving differential-algebraic equations (DAEs) efficiently by means of appropriate
numerical schemes for time-integration is an ongoing topic in applied mathematics. In this …