| Name | Thesis title | Promotion |
| Lennart Anderson | SSOR preconditioning of Toeplitz matrices | May, 1976 |
| Karl-Erik Karlsson | ||
| Arne Wolfbrandt | A study of Rosenbrock processes with respect to order conditions and stiff stability | March, 1977 |
| Ivar Gustafsson | Stability and rate of convergence of modified incomplete Cholesky factorization methods | April, 1979 |
| Gunhild Lindskog | Convergence analysis of some iterative methods for the solution of large sparse systems of linear equations | May, 1986 |
| Ralph Masenge | Finite elements for time-dependent convection-diffusion problems | June, 1988 |
| Ben Polman | On block preconditioning matrices | September, 1989 |
| Victor Eijkhout | Vectorizable and parallelizable preconditioners for the conjugate gradient method | May, 1990 |
| Jos Maubach | Iterative methods for non-linear partial differential equations | April, 1991 |
| Maya Neytcheva | Arithmetic and communication complexity of preconditioning methods | September, 1995 |
| Hao Lu | Forward-Backward Heat Equations and Analysis of Iterative Methods | October, 1995 |
| Mariana Nikolova | Adaptive refinement methods for singularly perturbed convection-diffusion problems | December, 1999 |
| Alexander Padiy | Reliable iterative methods for solving ill-conditioned algebraic systems | January, 2000 |
| Leendert Vijfvinkel | Automatic mesh domain partitioning for adaptively refined grids | March, 2001 |
| Sergey Gololobov | Approximations of singularly perturbed initial and boundary value problems | March, 2004 |