Strong convergence estimates for pseudospectral methods
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Publication:1209416
zbMath0767.65064MaRDI QIDQ1209416
Publication date: 16 May 1993
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/15724
domain decompositionpseudospectral methodsChebyshev nodesSchwarz algorithmLegendre nodesstrong convergence estimates
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
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A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations, Some results about the pseudospectral approximation of one-dimensional fourth-order problems, Improved Condition Number for Spectral Methods
Cites Work
- Spectral multigrid methods for elliptic equations. II
- On the FACR(l) algorithm for the discrete Poisson equation
- Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions
- Spectral multigrid methods for elliptic equations
- Konvergenzaussagen für Projektionsverfahren bei linearen Operatoren
- Auswertung der Normen von Interpolationsoperatoren
- On Jackson's theorem
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- The Schwarz Algorithm for Spectral Methods
- On the Lebesgue Function for Polynomial Interpolation
- Boundary Conditions in Chebyshev and Legendre Methods
- On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
- The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
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