The norm convergence of a Magnus expansion method
arXiv:1105.63724 citationsh-index: 14
Originality Synthesis-oriented
AI Analysis
Provides theoretical convergence guarantees for a basic Magnus method, which is incremental for numerical analysts working on time-dependent PDEs.
The paper analyzes the norm convergence of the simplest Magnus expansion method for solving non-autonomous evolution equations, establishing its order of convergence.
We consider numerical approximation to the solution of non-autonomous evolution equations. The order of convergence of the simplest possible Magnus method will be investigated.