Stochastic Krylov subspace methods for flow in random porous media

Avoiding Krylov Subspace Methods

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Flow Simulation in Stochastic Porous Media

Communication-avoiding Krylov subspace methods

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Krylov subspace methods for solving linear systems

Krylov subspace methods for the Dirac equation

The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanczos algorithm can yield very precise eigenenergies and allows very precise time propagation of relativistic wave packets. The unboundedness of the Dirac Hamiltonian does not hinder the applicability of the Lanczos alg...