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Parabolic Hmeasures
(Journal of Functional Analysis, 20131231)Classical Hmeasures introduced by Tartar (1990) and independently by Gérard (1991) are not well suited for the study of parabolic equations. Recently, several parabolic variants have been proposed, together with a number ... 
A parallel BranchandFix Coordination based matheuristic algorithm for solving large sized multistage stochastic mixed 01 problems
(European Journal of Operational Research, 20160826)A parallel matheuristic algorithm is presented as a spinoff from the exact BranchandFix Coordination (BFC) algorithm for solving multistage stochastic mixed 01 problems. Some steps to guarantee the solution’s optimality ... 
Parallel refined Isogeometric Analysis in 3D
(IEEE Transactions on Parallel and Distributed Systems, 201811)We study threedimensional isogeometric analysis (IGA) and the solution of the resulting system of linear equations via a direct solver. IGA uses highly continuous $C^{p1}$ basis functions, which provide multiple benefits ... 
Parallel Schwarz wave form relaxation algorithm for an ndimensional semilinear heat equation
(ESAIM Mathematical Modelling and Numerical Analysis, 20141231)We present in this paper a proof of wellposedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an Ndimensional semilinear heat equation. Since the equation we study is an evolution ... 
Parallelizing the KolmogorovFokkerPlanck Equation
(ESAIM M2AN: Mathematical Modelling and Numerical Analysis, 20151231)We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the FokkerPlanck equation describing the ... 
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
(SIAM Journal on Applied Dynamical Systems, 20151231)We present an efficient numerical method for computing FourierTaylor expansions of (un)stable manifolds associated with hyperbolic periodic orbits. Three features of the method are that (1) we obtain accurate representation ... 
Partial regularity and smooth topologypreserving approximations of rough domains
(Calculus of Variations and Partial Differential Equations, 20170101)For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studied of fields of `good directions', that is the directions with respect to which $\partial\Omega$ can be locally represented ... 
Particle Morphology
(Chemistry and Technology of Emulsion Polymerisation: Second Edition, 20131231)This chapter discusses the morphology of latex particles obtained mainly by (mini)emulsion polymerisation. It describes some applications of these particles, and discusses the factors that influence the particle morphology. ... 
A partition of unity finite element method for computational diffusion MRI
(Journal of Computational Physics, 2018)The Bloch–Torrey equation describes the evolution of the spin (usually water proton) magnetization under the influence of applied magnetic field gradients and is commonly used in numerical simulations for diffusion MRI ... 
Path Planning for Single Unmanned Aerial Vehicle by Separately Evolving Waypoints
(IEEE Transactions on Robotics, 20151231)Evolutionary algorithmbased unmanned aerial vehicle (UAV) path planners have been extensively studied for their effectiveness and flexibility. However, they still suffer from a drawback that the highquality waypoints in ... 
Patientspecific computational modeling of Cortical Spreading Depression via Diffusion Tensor Imaging
(International Journal for Numerical Methods in Biomedical Engineering, 20160629)Cortical Spreading Depression (CSD), a depolarization wave originat ing in the visual cortex and traveling towards the frontal lobe, is com monly accepted as a correlate of migraine visual aura. As of today, little is ... 
Patientspecific modelling of cortical spreading depression applied to migraine studies
(20190617)Migraine is a common neurological disorder and onethird of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ... 
Penalized composite link mixed models for twodimensional count data
(201505)Mortality data provide valuable information for the study of the spatial distribution of mortality risk, in disciplines such as spatial epidemiology, medical demography, and public health. However, they are often available ... 
Penalized composite link models for aggregated spatial count data: a mixed model approach
(Spatial Statistics, 20160101)Mortality data provide valuable information for the study of the spatial distri bution of mortality risk, in disciplines such as spatial epidemiology and public health. However, they are frequently available in an aggregated ... 
Performance of a multifrontal parallel direct solver for hpfinite element method
(Proceedings of the IASTED International Conference on Advances in Computer Science and Engineering, ACSE 2009, 20091231)In this paper we present the performance of our parallel multifrontal direct solver when applied to solve linear systems of equations resulting from discretizations of a hp Finite Element Method (hpFEM). The hpFEM ... 
perm mateda: A matlab toolbox of estimation of distribution algorithms for permutationbased combinatorial optimization problems
(ACM Transactions on Mathematical Software, 2018)Permutation problems are combinatorial optimization problems whose solutions are naturally codified as permutations. Due to their complexity, motivated principally by the factorial cardinality of the search space of ... 
Permanence and extinction for a nonautonomous SEIRS epidemic model
(Applied Mathematics and Computation, 20121231)In this paper, we study the longtime behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By ... 
Permanence and global stability of a class of discrete epidemic models
(Nonlinear Analysis: Real World Applications, 20111231)In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ... 
Perverse sheaves on semiabelian varieties  a survey of properties and applications
(European Journal of Mathematics, 201905)We survey recent developments in the study of perverse sheaves on semiabelian varieties. As concrete applications, we discuss various restrictions on the homotopy type of complex algebraic manifolds (expressed in terms ... 
PetIGAMF: A multifield highperformance toolbox for structurepreserving Bsplines spaces
(Journal of Computational Science, 201701)We describe a highperformance solution framework for isogeometric discrete differential forms based on Bsplines: PetIGAMF. Built on top of PetIGA, an opensource library we have built and developed over the last decade, ...