# Complex moment-based methods for differential eigenvalue problems

@article{Imakura2022ComplexMM, title={Complex moment-based methods for differential eigenvalue problems}, author={Akira Imakura and Keiichi Morikuni and Akitoshi Takayasu}, journal={Numerical Algorithms}, year={2022}, volume={92}, pages={693 - 721} }

This paper considers computing partial eigenpairs of differential eigenvalue problems (DEPs) such that eigenvalues are in a certain region on the complex plane. Recently, based on a “solve-then-discretize” paradigm, an operator analogue of the FEAST method has been proposed for DEPs without discretization of the coefficient operators. Compared to conventional “discretize-then-solve” approaches that discretize the operators and solve the resulting matrix problem, the operator analogue of FEAST…

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