- Improving Petrov–Galerkin elements via Chebyshev polynomials ...🔍
- Efficient and accurate Chebyshev dual|Petrov|Galerkin methods for ...🔍
- Enhanced ¯fth|kind Chebyshev polynomial Petrov{Galerkin ...🔍
- Explicit Chebyshev Petrov–Galerkin scheme for time|fractional ...🔍
- A generic sparse spectral Petrov|Galerkin method🔍
- The Spectral Petrov|Galerkin Method for Solving Integral Equations ...🔍
- Petrov||Galerkin and Chebyshev Collocation Method for Third|Order ...🔍
- A Generic and Strictly Banded Spectral Petrov–Galerkin Method for ...🔍
Improving Petrov–Galerkin elements via Chebyshev polynomials ...
Improving Petrov–Galerkin elements via Chebyshev polynomials ...
This work was intended as an attempt to eliminate the hard feature with improving old versions of Petrov–Galerkin elements by choosing of Chebyshev polynomials ...
Improving Petrov–Galerkin elements via Chebyshev polynomials ...
Two types of univariate Petrov–Galerkin elements using piecewise polynomials are described by Chen and Xu (1998) and four lemmas are proved ...
Improving Petrov–Galerkin elements via Chebyshev polynomials ...
Downloadable (with restrictions)! Two types of univariate Petrov–Galerkin elements using piecewise polynomials are described by Chen and Xu (1998) and four ...
Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for ...
Key words: Chebyshev dual-Petrov-Galerkin method, Sobolev bi-orthogonal polynomials,. Odd-order differential equations, Numerical results. 1. Introduction.
Improving Petrov–Galerkin elements via Chebyshev polynomials ...
Improving Petrov–Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them.
Enhanced ¯fth-kind Chebyshev polynomial Petrov{Galerkin ...
tion via basis functions based on modi¯ed sets of the shifted ¯fth-kind CPs by applying the spectral Petrov–Galerkin method. • Reducing the ...
Explicit Chebyshev Petrov–Galerkin scheme for time-fractional ...
In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order ...
A generic sparse spectral Petrov-Galerkin method - UiO - DUO
[20] obtain sparse and efficient methods using generalized Jacobians. 72. Elbarbary [12] describe a sparse Petrov-Galerkin method with Chebyshev polynomials for.
The Spectral Petrov-Galerkin Method for Solving Integral Equations ...
... polynomial space are called Petrov-Galerkin elements ... exact solutions using two polynomial, Laguerre polynomials are trail function and Chebyshev polynomial is ...
Petrov--Galerkin and Chebyshev Collocation Method for Third-Order ...
... Spectral methods with Lagrange interpolation polynomials and Legendre-Gauss-Lobatto grid points have been used to solve various differential equations. For ...
A Generic and Strictly Banded Spectral Petrov–Galerkin Method for ...
The method applies to all subdivisions of Jacobi polynomials (e.g., Chebyshev and Legendre), utilizes well-known recurrence relations of orthogonal polynomials, ...
(PDF) Legendre and Chebyshev dual-Petrov–Galerkin methods for ...
A Legendre and Chebyshev dual-Petrov–Galerkin method for hyperbolic equations is introduced and analyzed. The dual-Petrov–Galerkin method is based on a ...
Chebyshev and Fourier Spectral Methods 2000
... Galerkin & Weighted Residual Methods. 61. 3.1 MeanWeightedResidualMethods ... Chebyshev, sinc, and spherical harmonic functions. These notes evolved from ...
compressive sensing petrov-galerkin approximation of high ...
polynomials [12, 15, 16] and tensorized Chebyshev polynomials [28]. ... Sargsyan, Enhancing `1-minimization estimates of polynomial chaos ...
Enhanced fifth-kind Chebyshev polynomial Petrov-Galerkin ...
2015: Improving Petrov–Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them Applied Mathematics and ...
Meshless local Petrov-Galerkin method for rotating Rayleigh beam ...
In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and. Legendre polynomials where weak form of ...
Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal ...
Singhvi and Kapania8 demonstrated the efficiency of using Chebyshev polynomials over simple polynomials in the R-R method in beam vibration ... are components of ...
arXiv:2002.02266v1 [math.NA] 6 Feb 2020
Keywords: Hermite interpolation, C1 elements, Superconvergence, Gauss collocation methods, Petrov-Galerkin methods, Jacobi polynomials. AMS ...
A Petrov-Galerkin spectral method for the inelastic Boltzmann ...
Our method is based on the mapped Chebyshev functions on unbounded domains, hence requires no domain truncation. Furthermore, the test and trial function spaces ...
Improving Petrov-Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them ... Two types of univariate Petrov- ...