3 edition of **Computational aspects of pseudospectral Laguerre approximations** found in the catalog.

Computational aspects of pseudospectral Laguerre approximations

Daniele Funaro

- 87 Want to read
- 12 Currently reading

Published
**1990**
by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va
.

Written in English

- Numerical analysis.,
- Laguerre polynomials.

**Edition Notes**

Statement | Daniele Funaro. |

Series | ICASE report -- no. 89-72., NASA contractor report -- 181934., NASA contractor report -- NASA CR-181934. |

Contributions | Langley Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL18029581M |

pseudospectral method (i.e., a pseudospectral method using low-degree polynomials over many small segments), spectral convergence is lost for problems with smooth solutions A natural question that arises from the previous discussion is how to devise a computational. The Chebyshev Pseudospectral Method Elastic 1D with Chebyshev Method Elastic 1D with Chebyshev Method Elastic 1D wave equation using the standard 3-point operator ˆi uj+1 i 2u j i +u j 1 i dt2 = (@x [ (x)@xu(x;t)]) j i +f j i where the lower index i corresponds to the spatial discretization and the upper index j to the discrete time levels.

The book Spectral/hp Methods in Computational Fluid Dynamics, by G. E. Karniadakis and S. J. Sherwin (), deals with many important practical aspects of spectral methods computations for large scale ﬂuid dynamics application. A comprehensive discussion of approxima-tion theory may be found in Approximations Spectrales De Problemes Aux. Book. Jie Shen, Tao Tang and Li-Lian Wang. Spectral Methods: Algorithms, Analysis and Applications. Springer Series in Computational Mathematics, Volume 41, Springer, Contents Erratum (updated on Dec. 28, ) Matlab Codes Book Performance Report () and Reviews. Papers in refereed journals (Google Citations). Laguerre functions and their applications to tempered fractional.

Abstract. When pseudospectral approximations are used for space derivatives, one often encounters spurious eigenvalues. These can lead to severe time stepping difficulties for PDEs. This is especially the case for equations with high order derivatives in space, requiring multiple conditions at . Pseudospectral methods. Pseudospectral Methods - Summary. The Fourier Method can be considered as the limit of the finite-difference method as the length of the operator tends to the number of points along a particular dimension. The space derivatives are calculated in the wavenumber domain by multiplication of the spectrum with. ik.

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Applied Numerical Mathematics 6 (/90) North-Holland COMPUTATIONAL ASPECTS OF PSEUDOSPECTRAL LAGUERRE APPROXIMATIONS Daniele FUNARO Dipartimento di Matematica, Universitdi Pavia, Strada Nuova 65, Pavia, Italy Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned trc-music.com by: Note: Citations are based on reference standards.

However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.

Mar 15, · Read "The Laguerre spectral method for solving Neumann boundary value problems, Journal of Computational and Applied Mathematics" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

The Laguerre spectral method Computational aspects of pseudospectral Laguerre approximations book solving Neumann boundary value problems Article in Journal of Computational and Applied Mathematics (10) · March with 21.

Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions Spectral and pseudospectral approximations of the heat equation are analyzed. Computational. Concluding remarks.

In this paper, we proposed a new Laguerre spectral method for solving Neumann boundary value problems and established some basic results on Laguerre approximations, which formed the mathematical foundation of a Laguerre spectral method with the essential imposing of Neumann boundary trc-music.com by: 2.

Jun 01, · Read "Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation, Journal of Computational and Applied Mathematics" on DeepDyve, the largest online rental service for scholarly research with thousands of.

A Practical Guide to Pseudospectral Methods (Cambridge Monographs on Applied and Computational Mathematics Book 1) - Kindle edition by Bengt Fornberg.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading A Practical Guide to Pseudospectral Methods (Cambridge Monographs on Applied and Computational Reviews: 1.

Preliminary version of the book: Electromagnetism and the Structure of Matter, Computational Aspects of Pseudospectral Laguerre Approximations, Applied Numerical Mathematics, n. 6 (/90), pp.

Gottlieb, Convergence Results for Pseudospectral Approximations of Hyperbolic Systems by a Penalty-type Boundary Treatment. computational interval is unbounded, then the exact solution can be calculated by solving the Computational aspects of pseudo-spectral Laguerre approximations, Appl.

Numer. Math. 6 () [8] Ghotbi A.R., Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet, Commun. Nonlinear Sci. Numer. Simulat. Pseudo-spectral methods, also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential trc-music.com are closely related to spectral methods, but complement the basis by an additional pseudo-spectral basis, which allows representation of functions on a quadrature grid.

The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods.

Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes. A Comparison of Accuracy and Computational Eﬃciency of Three Pseudospectral Methods and control approximations themselves, are compared in this paper for the GPM, LPM and RPM.

Numerical comparisons between methods are often diﬃcult to perform fairly because many directCited by: A stair Laguerre pseudospectral method is proposed for numerical solutions of differential equations on the half line. Some approximation results are established. A stair Laguerre pseudospcetral scheme is constructed for a model problem.

The convergence is trc-music.com by: 8. Pseudospectral optimal control is a joint theoretical-computational method for solving optimal control problems. It combines pseudospectral (PS) theory with optimal control theory to produce PS optimal control theory. PS optimal control theory has been used in ground and flight systems in military and industrial applications.

The techniques have been extensively used to solve a wide range of. Daniele Funaro - Main Publications Here is a reduced list of old or recent publications. With some exception, those in minor journals or conference proceedings are not mentioned.

First of all there are the two books: Polynomial Approximation of Differential Equations, Lecture Notes in Physics, Volume 8, Springer-Verlag, Heidelberg This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line.

A new formula expressing the Caputo fractional derivatives of modified generalized Laguerre polynomials of any degree and for any fractional order in terms of the modified generalized Laguerre polynomials Cited by: Dec 13, · This library implements 3 versions of the Laguerre spectral method: (1) Galerkin (pure) spectral method - global spectral coefficients (2) Collocation method - global coefficients, local evaluation of L[f] at collocation points (3) Pseudospectral method - local method based on global interpolants (numerically equivalent to Collocation method).

We solve the Thomas-Fermi equation by the Sinc-Collocation method that converges to the solution at an exponential rate. This method is utilized to reduce the nonlinear ordinary differential equation to some algebraic equations. Computational aspects of pseudospectral Laguerre approximations, Applied Numerical Mathematics, v.6 n.6, p Cited by: D.

Funaro, Computational Aspects of Pseudospectral Laguerre Approximations, Applied Numerical Math. 6 (/90) I can't swear that any of these is the one I saw. But they certainly use the trick mentioned, or something similar. Perhaps the first would explain the sense of leja vu that I felt when encountering the phenomenon.

Other. Localización: Journal of computational and applied mathematics, ISSNVol.Nº 1 (July ),págs. Idioma: inglés Enlaces. Texto completo; Resumen. We propose an iterative method to solve the nonlinear Thomas–Fermi equation based on .Chen H, Lü S and Chen W () Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain, Journal of Computational and Applied Mathematics, C, (), Online publication date: 1-OctAdvances in Computational Mathematics () – Springer Stair Laguerre pseudospectral method for differential equations on the half line Li-lian Wang and Ben-yu Guo Department of Mathematics, Shanghai Normal University, Shanghai,China Received 20 February ; accepted 14 July Communicated by A.

Zhou.