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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 /
Published 2020Table of Contents: “…Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations -- On the order reduction of entropy stable DGSEMfor the compressible Euler equations -- A review of regular decompositions of vector fields - continuous, discrete, and structure-preserving -- Model reduction by separation of variables: a comparison between hierarchical model 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 function approximation 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 and implementations -- Stabilised hybrid discontinuous galerkin methods for the Stokes problem with non-standard boundary conditions -- RBF based CWENO method -- discrete equivalence of adjoint Neumann-Dirichlet div-grad and grad-div equations in curvilinear 3D domains -- A conservative hybrid method for Darcy flow -- High-order mesh generation based on optimal affine combinations of nodal positions -- Sparse spectral-element methods for the helically reduced Einstein equations -- Spectral analysis of isogeometric discretizations of 2D curl-div Problems with 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 large eddy simulation sources -- Dynamical degree adaptivity for DG-LES models -- A novel eight-order diffusive scheme for unstructured polyhedral grids using 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 problems on multiple open arcs -- Explicit polynomial Trefftz-DG method for space-time elasto-acoustics -- An hp-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear 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 in annular geometries -- DIRK schemes with high weak stage order -- Scheme for evolutionary Navier-Stokes-Fourier system with temperature dependent material properties based on spectral/hp elements -- Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers -- SAV method applied to fractional Allen-Cahn equation -- A first meshless approach to simulation of the elastic behaviour of the diaphragm -- An explicit hybridizable discontinuous Galerkin method for the 3D timedomain Maxwell equations -- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators -- Multiwavelet troubled-cell indication: a comparison of utilizing theory versus outlier detection -- An anisotropic p-adaptation multigrid scheme for discontinuous Galerkin methods -- 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 parallel performance -- Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit -- On the convergence rate of Hermite-Fejer interpolation.…”
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Electronic eBook -
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How to Think Like a Computer Scientist C Version
Published 1999Table of Contents: “…-- 1.4 Formal and natural language -- 1.5 The first program -- 1.6 Glossary -- 1.7 Exercises -- Chapter 2: Variables and types -- 2.1 More output -- 2.2 Values -- 2.3 Variables -- 2.4 Assignment -- 2.5 Outputting variables -- 2.6 Keywords -- 2.7 Operators -- 2.8 Order of operations -- 2.9 Operators for characters -- 2.10 Composition -- 2.11 Glossary -- 2.12 Exercises -- Chapter 3: Function -- 3.1 Floating-point -- 3.2 Constants -- 3.3 Converting from double to int -- 3.4 Math functions -- 3.5 Composition -- 3.6 Adding new functions -- 3.7 Definitions and uses -- 3.8 Programs with multiple functions -- 3.9 Parameters and arguments -- 3.10 Parameters and variables are local -- 3.11 Functions with multiple parameters -- 3.12 Functions with results -- 3.13 Glossary -- 3.14 Exercises -- Chapter 4: Conditionals and recursion -- 4.1 Conditional execution -- 4.2 The modulus operator -- 4.3 Alternative execution -- 4.4 Chained conditionals -- 4.5 Nested conditionals -- 4.6 The return statement -- 4.7 Recursion -- 4.8 Infinite recursion -- 4.9 Stack diagrams for recursive functions -- 4.10 Glossary -- 4.11 Exercises -- Chapter 5: Fruitful functions -- 5.1 Return values -- 5.2 Program development -- 5.3 Composition -- 5.4 Boolean values -- 5.5 Boolean varaiables -- 5.6 Logical operators -- 5.7 Bool functions -- 5.8 Returning from main() -- 5.9 Glossary -- 5.10 Exercises -- Chapter 6: Iteration -- 6.1 Multiple assignment -- 6.2 Iteration -- 6.3 The while statement -- 6.4 Tables -- 6.5 Two-dimensional tables -- 6.6 Encapsulation and generalization -- 6.7 Functions -- 6.8 More encapsulation -- 6.9 Local varaiables -- 6.10 More generalization -- 6.11 Glossary -- 6.12 Exercises -- Chapter 7: Arrays -- 7.1 Increment and decrement operators -- 7.2 Accessing elements -- 7.3 Copying arrays -- 7.4 for loops -- 7.5 Array length -- 7.6 Random numbers -- 7.7 Statistics -- 7.8 Array of random numbers -- 7.9 Passing an array to a function -- 7.10 Counting -- 7.11 Checking the other values -- 7.12 A histogram -- 7.13 A single-pass solution -- 7.14 Random seeds -- 7.15 Glossary -- 7.16 Exercises -- Chapter 8: Strings and things -- 8.1 Containers for strings -- 8.2 String variables -- 8.3 Extracting characters from a string -- 8.4 Length -- 8.5 Traversal -- 8.6 Finding a character in a string -- 8.7 Pointers and Addresses -- 8.8 String concatenation -- 8.9 Assigning new values to string variables -- 8.10 strings are not comparable -- 8.11 Character classification -- 8.12 Getting user input -- 8.13 Glossary -- 8.14 Exercises -- Chapter 9: Structures -- 9.1 Compound values -- 9.2 Point objects -- 9.3 Accessing member variables -- 9.4 Operations on structures -- 9.5 Structures as parameters -- 9.6 Call by value -- 9.7 Call by reference -- 9.8 Rectangles -- 9.9 Structures as return types -- 9.10 Passing other types by reference -- 9.11 Glossary -- 9.12 Exercises…”
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