Browsing Computational Mathematics (CM) by Issue Date
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A stable discontinuous Galerkintype method for solving efficiently Helmholtz problems
(Computers and Structures, 20121231)We propose a stable discontinuous Galerkintype method (SDGM) for solving efficiently Helmholtz problems. This mixedhybrid formulation is a twostep procedure. Step 1 consists in solving wellposed problems at the element ... 
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(Communications in Computational Physics, 20121231)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 threebody problems approximation
(Communications in Nonlinear Science and Numerical Simulation, 20121231)This work concerns the role played by a couple of the planar circular restricted threebody problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics ... 
Discrete maximum principles for nonlinear parabolic PDE systems
(IMA Journal of Numerical Analysis, 20121231)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 ... 
Computational fixedpoint theory for differential delay equations with multiple time lags
(Journal of Differential Equations, 20121231)We introduce a general computational fixedpoint 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 ... 
Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra"
(Central European Journal of Mathematics, 20121231)[No abstract available] 
Framework for adaptive fluidstructure interaction with industrial applications
(International Journal of Materials Engineering Innovation, 20131231)We present developments in the UnicornHPC framework for unified continuum mechanics, enabling adaptive finite element computation of fluidstructure interaction, and an overview of the larger FEniCSHPC framework for ... 
A twolevel finite element discretization of the streamfunction formulation of the stationary quasigeostrophic equations of the ocean
(Computers and Mathematics with Applications, 20131231)In this paper we proposed a twolevel finite element discretization of the nonlinear stationary quasigeostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the twolevel ... 
Towards the development of adaptive finite element methods for internal flow aeroacoustics
(19th AIAA/CEAS Aeroacoustics Conference, 20131231)We report the latest results obtained in the development of an adaptive finite element method for computational aeroacoustics (CAA). The new methodology is based on the General Galerkin (G2) method, which has been successfully ... 
Computation of slat noise sources using adaptive FEM and lighthill's analogy
(19th AIAA/CEAS Aeroacoustics Conference, 20131231)This is a summary of preliminary results from simulations with the 30P30N highlift device. We used the General Galerkin finite element method (G2), where no explicit subgrid model is used, and where the computational mesh ... 
Highorder mixed weighted compact and noncompact scheme for shock and small length scale interaction
(International Journal of Computer Mathematics, 20131231)It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small ... 
Efficient rigorous numerics for higherdimensional PDEs via onedimensional estimates
(SIAM Journal on Numerical Analysis, 20131231)We present an efficient rigorous computational method which is an extension of the work Analytic Estimates and Rigorous Continuation for Equilibria of HigherDimensional PDEs (M. Gameiro and J.P. Lessard, J. Differential ... 
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
(Applied Mathematics and Computation, 20131231)In this work, we present and discuss some continuous and discrete maximum principles for linear elliptic problems of the second order with the third boundary condition (almost never addressed to in the available literature ... 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
(SIAM Journal on Applied Dynamical Systems, 20131231)In this paper, a rigorous method to compute Floquet normal forms of fundamental matrix solutions of nonautonomous linear differential equations with periodic coefficients is introduced. The Floquet normal form of a fundamental ... 
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with nonmonotone coupling
(Mathematics and Computers in Simulation, 20131231)Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance ... 
Singular dynamics under a weak potential on a sphere
(Nonlinear Differential Equations and Applications, 20131231)We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. We perform a McGeheetype blowup in order to cope with the singularity of ... 
An IMEX scheme combined with Richardson extrapolation methods for some reactiondiffusion equations
(Idojaras, 20131231)An implicitexplicit (IMEX) method is combined with some socalled Richardson extrapolation (RiEx) methods for the numerical solution of reactiondiffusion equations with pure Neumann boundary conditions. The results are ... 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, II"
(Central European Journal of Mathematics, 20131231)[No abstract available] 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, I"
(Central European Journal of Mathematics, 20131231)[No abstract available] 
Reproductive value, sensitivity, and nonlinearity: Populationmanagement heuristics derived from classical demography
(Theoretical Population Biology, 20131231)In classical demographic theory, reproductive value and stable age distribution are proportional to the sensitivities of the asymptotic population size to changes in mortality and maternity, respectively. In this note we ...