Browsing Computational Mathematics (CM) by Issue Date
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A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(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
(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 ... 
The maximum angle condition is not necessary for convergence of the finite element method
(20121231)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
(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 ... 
Intersecting invariant manifolds in spatial restricted threebody problems: Design and optimization of Earthtohalo transfers in the SunEarthMoon scenario
(20121231)This work deals with the design of transfers connecting LEOs with halo orbits around libration points of the EarthMoon CRTBP using impulsive maneuvers. Exploiting the coupled circular restricted threebody problem ... 
Exponential decay of highorder spurious prolate spheroidal modes induced by a local approximate dtn exterior boundary condition
(20121231)We investigate analytically the asymptotic behavior of highorder spurious prolate spheroidal modes induced by a secondorder local approximate DtN absorbing boundary condition (DtN2) when employed for solving highfrequency ... 
A stable discontinuous Galerkintype method for solving efficiently Helmholtz problems
(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 ... 
Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra"
(20121231)[No abstract available] 
Sensitivity Analysis for the Appraisal of Hydrofractures in Horizontal Wells with Borehole Resistivity Measurements
(201306)This paper numerically evaluates the possibility of using borehole electromagnetic (EM) measurements to diagnose and quantify hydraulic fractures that have been arti ficially generated in a horizontal well. Hydrofractures ... 
Influence of boreholeeccentred tools on wireline and loggingwhiledrilling sonic logging measurements
(201306)We describe a numerical study to quantify the influence of tooleccentricity on wireline and loggingwhiledrilling (LWD) sonic logging measurements. Simulations are performed with a hpadaptive Fourier FiniteElement ... 
An IMEX scheme for reactiondiffusion equations: Application for a PEM fuel cell model
(20131231)An implicitexplicit (IMEX) method is developed for the numerical solution of reactiondiffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: ... 
Reproductive value, sensitivity, and nonlinearity: Populationmanagement heuristics derived from classical demography
(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 ... 
Efficient rigorous numerics for higherdimensional PDEs via onedimensional estimates
(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 Conforming Tetrahedralisations of Prismatic Partitions
(20131231)We present an algorithm for conform (facetoface) subdividing prismatic partitions into tetrahedra. This algorithm can be used in the finite element calculations and analysis. 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
(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 ... 
Local nonobtuse tetrahedral refinements around an edge
(20131231)In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can ... 
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with nonmonotone coupling
(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 ... 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, II"
(20131231)[No abstract available] 
Editors' preface for the topical issue "Numerical Methods for LargeScale Scientific Computing, I"
(20131231)[No abstract available] 
Singular dynamics under a weak potential on a sphere
(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 ...