Results 31 to 40 of about 3,194 (297)

(Spectral) Chebyshev collocation methods for solving differential equations

Numerical Algorithms, 2023
25 pages, 2 figures, 2 ...
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro   +2 more
openaire   +4 more sources

Statistical characteristics of Doppler spectral width as observed by the conjugate SuperDARN radars [PDF]

, 2002
International audienceWe performed a statistical analysis of the occurrence distribution of Doppler spectral width around the day-side high-latitude ionosphere using data from the conjugate radar pair composed of the CUTLASS Iceland-East radar in the ...
Milan, S. E., N. Sato, T. Iyemori, T. Iyemori (7616135), Woodfield, E.E., Lester, M., A. S. Yukimatu, A. S. Yukimatu (7614353), M. Lester, N. Sato (7606136), Milan, S.E., M. Lester (7589660), K. Hosokawa, S. E. Milan, Yukimatu, A. S., Iyemori, T., K. Hosokawa (7606139), Hosokawa, K., E. E. Woodfield (7590071), E. E. Woodfield, Sato, N., Yukimatu, A.S., S. E. Milan (7594526), Woodfield, E. E.   +23 more
core   +1 more source

Chebyshev collocation method for solving second order ODEs using integration matrices

Discrete and Continuous Models and Applied Computational Science, 2023
The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an expansion in Chebyshev polynomials. The approach allows a stable calculation of
Konstantin P. Lovetskiy, Dmitry S. Kulyabov, Leonid A. Sevastianov, Stepan V. Sergeev   +3 more
doaj   +1 more source

On the bivariate spectral quasi-linearization method for solving the two-dimensional Bratu problem

Open Physics, 2018
In this paper, a bivariate spectral quasi-linearization method is used to solve the highly non-linear two dimensional Bratu problem. The two dimensional Bratu problem is also solved using the Chebyshev spectral collocation method which uses Kronecker ...
Muzara Hillary, Shateyi Stanford, Tendayi Marewo Gerald   +2 more
doaj   +1 more source

A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations

Entropy, 2021
The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma, Yongxian Wang, Xiaoqian Zhu, Wei Liu, Wenbin Xiao, Qiang Lan   +5 more
doaj   +1 more source

Nightside studies of coherent HF radar spectral width behaviour [PDF]

, 2002
A previous case study found a relationship between high spectral width measured by the CUTLASS Finland HF radar and elevated electron temperatures observed by the EISCAT and ESR incoherent scatter radars in the post-midnight sector of magnetic local time.
J. A. Davies, Davies, J.A., Eglitis, P., P. Eglitis (7605143), P. Eglitis, Woodfield, E.E., Lester, M., Lockwood, M., Lockwood, Mike, M. Lester, J. A. Davies (4412452), T. K. Yeoman (7601525), T. K. Yeoman, M. Lester (7589660), Davies, J. A., M. Lockwood, M. Lockwood (7612331), E. E. Woodfield (7590071), E. E. Woodfield, Yeoman, T. K., Yeoman, T.K., Woodfield, E. E.   +21 more
core   +1 more source

Spectral collocation solutions to multiparameter Mathieu’s system

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Calin-Ioan Gheorghiu, Michiel E. Hochstenbach, Bor Plestenjak, Joost Rommes   +3 more
openaire   +5 more sources

Graphdiyne as a Hole‐Transport Channel in Carbon Nitride Heterojunctions for Synergistic CO2 Reduction and γ‐Butyrolactone Synthesis

Angewandte Chemie, EarlyView.
A fully metal‐free heterojunction constructed from graphdiyne (GDY) and polymeric carbon nitride (PCN) enables efficient coupling of CO2 reduction and tetrahydrofuran oxidation. GDY serves as a hole‐transport channel, establishing a built‐in electric field that drives spatial charge separation. The optimized catalyst achieves near‐unity selectivity for
Xuan Zhang, Junqi Chai, Chong Wang, Wei Lin, Jing Tang, Oleksandr Savateev, Jimmy C. Yu, Jiajia Cheng   +7 more
wiley   +2 more sources

Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

Mathematical Modelling and Analysis, 2017
This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy, Rubayyi T. Alqahtani   +1 more
doaj   +1 more source

A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities

, 2017
We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis, Fanhai Zeng, Zeng, F., Mao, Z., Karniadakis, G. E., Zhiping Mao   +5 more
core   +1 more source