图书简介

Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations.- Onthe order reduction of entropy stable DGSEMfor the compressible Eulerequations.-A review of regular decompositions of vector fields – continuous, discrete,and structure-preserving.-Model reduction by separation of variables: a comparison between hierarchicalmodel reduction and proper generalized decomposition.-Recurrence relations for a family of orthogonal polynomials on a triangle.-Greedy kernel methods for center manifold approximation.-An improved error inhibiting block one-step method with radial basis functionapproximation for ODEs.-Hermite methods in time.- HPS accelerated spectral solvers for time dependent problems:algorithms.-On the use of hermite functions for the Vlasov-Poisson system.-HPS accelerated spectral solvers for time dependent problems:numerical experiments.-High-order finite element methods for interface problems: theory andimplementations.-Stabilised hybrid discontinuous galerkin methods for the Stokes problemwith non-standard boundary conditions.-RBF based CWENO method.- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-divequations in curvilinear 3D domains.-A conservative hybrid method for Darcy flow.-High-order mesh generation based on optimal affine combinations ofnodal positions.-Sparse spectral-element methods for the helically reduced Einstein equations.- Spectral analysis of isogeometric discretizations of 2D curl-div Problemswith general geometry.-Performance of preconditioners for large-scale simulations using Nek5000.-Two decades old entropy stable method for the Euler equations revisited.-A mimetic spectral element method for free surface flows.-Spectral/hp methodology study for iLES-SVV on an Ahmed body.-A high–order discontinuous Galerkin solver for multiphase flows.-High-Order propagation of jet noise on a tetrahedral mesh using largeeddy simulation sources.-Dynamical degree adaptivity for DG-LES models.-A novel eight-order diffusive scheme for unstructured polyhedral gridsusing the weighted least-squares method.-An explicit mapped tent pitching scheme for Maxwell equations.-Viscous diffusion effects in the eigenanalysis of (hybridisable) DG methods.-Spectral Galerkin method for solving Helmholtz and Laplace Dirichlet problemson multiple open arcs.-Explicit polynomial Trefftz-DG method for space-time elasto-acoustics.-An hp-adaptive iterative linearization discontinuous-Galerkin FEM forquasilinear elliptic boundary value problems.-Erosion Wear evaluation using Nektar++.-An inexact Petrov-Galerkin approximation for gas transport in pipeline networks.-New preconditioners for semi-linear PDE-constrained optimal control inannular geometries.-DIRK schemes with high weak stage order.-Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependentmaterial properties based on spectral/hp elements.-Implicit large eddy simulations for NACA0012 airfoils using compressibleand incompressible discontinuous Galerkin solvers.-SAV method applied to fractional Allen-Cahn equation.-A first meshless approach to simulation of the elastic behaviour of thediaphragm.-An explicit hybridizable discontinuous Galerkin method for the 3D timedomainMaxwell equations.-Entropy conserving and kinetic energy preserving numerical methods forthe Euler equations using summation-by-parts operators.-Multiwavelet troubled-cell indication: a comparison of utilizing theoryversus outlier detection.-An anisotropic p-adaptation multigrid scheme for discontinuous Galerkinmethods.-A spectral element reduced basis method for Navier-Stokes equations with geometric variations.-Iterative spectral mollification and conjugation for successive edge detection.-Small trees for high order Whitney elements.-Non-conforming elements inNek5000: pressure preconditioning and parallelperformance.-Sparse approximation of multivariate functions from small datasets viaweighted orthogonal matching pursuit.-On the convergence rate of Hermite-Fejer interpolation.

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