T. Phipps. Sparse pseudospectral approximation method. Computer Methods in Applied Mechanics and Engineering, 229-232:1-12, July 2012. 33Constantine PG, Eldred MS, Phipps ET. Sparse pseudospectral approximation method. Comput Methods Appl Mech Eng. 2012;229–232:1–12. MathSciNet...
Bonito, A., Lei, W., Pasciak, J.E.: Numerical approximation of the integral fractional Laplacian. Numerische Mathematik 142(2), 235–278 (2019). https://doi.org/10.1007/s00211-019-01025-x Article MathSciNet Google Scholar Cayama, J., Cuesta, C.M., Hoz, F.: A pseudospectral met...
High-order spectral collocation method using tempered fractional Sturm–Liouville eigenproblems 2023, Computational and Applied Mathematics High-Order Chebyshev Pseudospectral Tempered Fractional Operational Matrices and Tempered Fractional Differential Problems 2023, Fractal and Fractional Solutal convection instability...
Summary: We present two new algorithms for investigating the stability of large and sparse matrices subject to real perturbations. The first algorithm computes the real structured pseudospectral abscissa and is based on the algorithm for computing the pseudospectral abscissa proposed by {\it N. Guglielm...
Fourier pseudospectral methodground stateFractional Schrodinger equationsmany-particle systemsIn this paper, we consider the Fourier spectral method on the sparse grids for computing the ground state of the many-particle fractional Schrdinger equations. The appropriate sparse grids for many-particle ...
Sine pseudospectral methodL1 difference methodHierarchical basisFINITE-DIFFERENCE METHODSCHEMEQUADRATUREIn this paper, we focus on developing a high efficient algorithm for solving d-dimension time-fractional diffusion equation (TFDE). For TFDE, the initial function or source term is usually not smooth, ...
The representation method was applied to the few group homogenized cross sections of diverse light water reactors: PWR and MTR fuel assemblies and a VVER fuel pin. These examples differ in terms of intervals of state parameters, number of energy groups, the number of microscopic cross sections ...
This paper presents a sparse pseudospectral approximation method (SPAM) for computing the coefficients of the truncated Fourier series with the points of the sparse grid integration rule that eliminates the error in the coefficients associated with higher degree polynomials. This allows the number of te...
Schrdinger equation with two kinds of non-smooth potentials, the advantages of the Fourier pseudospectral method on the generalized sparse grids with the level-index set of parameter K=1,2,3 K = 1 , 2 , 3 mathContainer Loading Mathjax are manifest in the approximation with high resolution....
Bokov, P.M., Botes, D., Zimin, V.G., 2012. Pseudospectral chebyshev representation of few-group cross sections on... Bokov, P.M., Prinsloo, R., 2007. Cross-section parameterization using quasi-regression approach. In: Joint...