Now showing items 1-9 of 9
Computational fixed-point theory for differential delay equations with multiple time lags
We introduce a general computational fixed-point method to prove existence of periodic solutions of differential delay equations with multiple time lags. The idea of such a method is to compute numerical approximations of ...
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this ...
Regions of prevalence in the coupled restricted three-body problems approximation
This work concerns the role played by a couple of the planar circular restricted three-body problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics ...
The maximum angle condition is not necessary for convergence of the finite element method
We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements are used to solve elliptic problems. This condition ...
Discrete maximum principles for nonlinear parabolic PDE systems
Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on ...
Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario
This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the Earth-Moon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted three-body problem ...
Exponential decay of high-order spurious prolate spheroidal modes induced by a local approximate dtn exterior boundary condition
We investigate analytically the asymptotic behavior of high-order spurious prolate spheroidal modes induced by a second-order local approximate DtN absorbing boundary condition (DtN2) when employed for solving high-frequency ...
A stable discontinuous Galerkin-type method for solving efficiently Helmholtz problems
We propose a stable discontinuous Galerkin-type method (SDGM) for solving efficiently Helmholtz problems. This mixed-hybrid formulation is a two-step procedure. Step 1 consists in solving well-posed problems at the element ...
Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra"
[No abstract available]