8 citations
- KTH Royal Institute of TechnologySE4 papers
- Iowa State UniversityUS3 papers
- Swedish e-Science Research CentreSE3 papers
- Eindhoven University of TechnologyNL2 papers
- Z-Terra (United States)US2 papers
- Sapienza University of RomeIT1 paper
- The University of Texas at AustinUS1 paper
- Università degli Studi di Enna KoreIT1 paper
- University of California, Los AngelesUS1 paper
5 papers · 1 filter
The infinite bi-Lanczos method for nonlinear eigenvalue problems
Sarah W. Gaaf, Elias Jarlebring
We propose a two-sided Lanczos method for the nonlinear eigenvalue problem (NEP). This two-sided approach provides approximations to both the right and left eigenvectors of the eig…
Sobolev and Max Norm Error Estimates for Gaussian Beam Superpositions
Hailiang Liu, Olof Runborg, Nicolay M. Tanushev
This work is concerned with the accuracy of Gaussian beam superpositions, which are asymptotically valid high frequency solutions to linear hyperbolic partial differential equation…
Krylov approximation of ODEs with polynomial parameterization
Antti Koskela, Elias Jarlebring, Michiel E. Hochstenbach
We propose a new numerical method to solve linear ordinary differential equations of the type , w…
Gaussian Beam Methods for the Helmholtz Equation
Hailiang Liu, James Ralston, Olof Runborg +1
In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of non-trapping rays we s…
Error Estimates for Gaussian Beam Superpositions
Hailiang Liu, Olof Runborg, Nicolay M. Tanushev
Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can…