Orthogonal collocation revisited
type: Item
instance of: scholarly article
title: Orthogonal collocation revisited
zbMATH Open document ID: 1440.65256
author: Larry C. Young
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-09T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7188750
zbMATH Keywords: orthogonal collocation
zbMATH Keywords: pseudospectral method
zbMATH Keywords: differential quadrature
zbMATH Keywords: finite element method
zbMATH Keywords: spectral element method
zbMATH Keywords: method of weighted residuals
describes a project that uses: RODAS
describes a project that uses: LAPACK
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.cma.2018.10.019
OpenAlex ID: W2900019814
cites work: Solving Ordinary Differential Equations I
cites work: Q4714145
cites work: Trigonometric Interpolation of Empirical and Analytical Functions
cites work: Q3846497
cites work: Q3782632
cites work: Q3847247
cites work: A method for numerical integration on an automatic computer
cites work: Is Gauss Quadrature Better than Clenshaw–Curtis?
cites work: The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
cites work: Q3233502
cites work: Q3259280
cites work: Nonlinear partial differential equations in engineering
cites work: Comparison of Pseudospectral and Spectral Approximation
cites work: Development of direct methods in mathematical physics in the works of M. P. Kravchuk
cites work: Q5770331
cites work: Q5652168
cites work: The solution of nonlinear ordinary differential equations in Chebyshev series
cites work: Chebyshev Collocation Methods for Ordinary Differential Equations
cites work: Q3915266
cites work: Q4199478
cites work: Q4039908
cites work: Spectral Methods
cites work: UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
cites work: Spectral Methods in MATLAB
cites work: Spectral methods for incompressible viscous flow
cites work: Differential quadrature and longterm integration
cites work: Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
cites work: Methods of nonlinear analysis. Vol. II
cites work: Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
cites work: Q4948551
cites work: Step by step tau method. I: Piecewise polynomial approximations
cites work: A unified approach to the tau method and Chebyshev series expansion techniques
cites work: The Tau method as an analytic tool in the discussion of equivalence results across numerical methods
cites work: Q4023645
cites work: Q5647993
cites work: Q4404383
cites work: Q3773481
cites work: Collocation at Gaussian Points
cites work: A Finite Element Collocation Method for Quasilinear Parabolic Equations
cites work: Q4260739
cites work: Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems
cites work: A $C^0 $-Collocation-Finite Element Method for Two-Point Boundary Value Problems and One Space Dimensional Parabolic Problems
cites work: A \(C^ 0\)-collocation-like method for two-point boundary value problems
cites work: A C0-Collocation-like method for elliptic equations on rectangular regions
cites work: Q4899691
cites work: Calculation of Gauss Quadrature Rules
cites work: Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions
cites work: Q4051469
cites work: Q4394882
cites work: Q3258508
cites work: Q5562645
cites work: The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems
cites work: LAPACK Users' Guide
cites work: Spectral methods for problems in complex geometries
cites work: Economical alternatives to Gaussian quadrature over isoparametric quadrilaterals
cites work: Evaluation of numerical methods for elliptic partial differential equations

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cites work: A collocation finite element method for potential problems in irregular domains

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cites work: The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics

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cites work: Fully discrete \(hp\)-finite elements: Fast quadrature

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cites work: A collocatedC0finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics

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cites work: Q5678400

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cites work: Q4768598

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cites work: On the Uniqueness of Competitive Equilibrium: Part II, Bounded Demand

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cites work: Q4045576

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cites work: Q4162607

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cites work: Finite element mass matrix lumping by numerical integration with no convergence rate loss

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cites work: Q4117333

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cites work: A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems

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cites work: Q3694582

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cites work: Galerkin and collocation-Galerkin methods with superconvergence and optimal fluxes

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cites work: Orthogonal Collocation for Elliptic Partial Differential Equations

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cites work: Q4171697

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cites work: Matrix Iterative Analysis

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cites work: Spectral methods on triangles and other domains

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cites work: A new triangular and tetrahedral basis for high‐order (hp) finite element methods

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cites work: Higher order triangular finite elements with mass lumping for the wave equation

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cites work: HIGHER-ORDER MASS-LUMPED FINITE ELEMENTS FOR THE WAVE EQUATION

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cites work: Q3253343

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cites work: Q5730678

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cites work: Orthogonal polynomials (in Matlab)

Orthogonal collocation revisited (DOI)
DOI: 10.1016/J.CMA.2018.10.019