scholarly journals Spectral solution of ODE-IVPs by using SHBVMs

2020 ◽  
Author(s):  
P. Amodio ◽  
L. Brugnano ◽  
F. Iavernaro ◽  
C. Magherini
Keyword(s):  
Spectral Solution

A spectral solution for the bending of arbitrarily shaped plates

1997 ◽  
Vol 63 (1) ◽  
pp. 159-171
Author(s):  
N.C. Hamouche ◽  
Z.U.A. Warsi ◽  
J.C. McWhorter
Keyword(s):  
Spectral Solution

scholarly journals Optimal Band Selection for the Calculation of Planck Mean Absorption Coefficients

2017 ◽  
Vol 4 (1) ◽  
pp. 70-73
Author(s):  
M. Gnybida ◽  
Ch. Rümpler ◽  
V. R. T. Narayanan
Keyword(s):  
Temperature Profile ◽  
Low Voltage ◽  
Optimization Procedure ◽  
Optimal Number ◽  
Discrete Ordinates ◽  
Radiation Balance ◽  
Absorption Coefficients ◽  
Loss Mechanism ◽  
Spectral Solution ◽  
Dependent Absorption

Radiative heat transfer is a major heat loss mechanism in thermal plasmas generated during arc flashes/faults in switchgear applications or during high current interruption in low voltage circuit breakers. A common way to calculate the radiation balance is by means of approximate non-gray radiation models like P1 or discrete ordinates (DOM), where the frequency dependent absorption and emission are described in a number of frequency intervals (bands) using a constant absorption coefficient in each band. Current work is focused on finding the optimal number of bands as well as band interval boundaries that provide a reasonable level of accuracy in comparison to a full spectral solution. An optimization procedure has been applied to different SF<sub>6</sub> and copper vapor gas mixtures for an assumed temperature profile. Radiation model results using optimized band averaged absorption coefficients as well as spectral values are provided and discussed for the exemplary temperature profile.

scholarly journals Spectra of elliptic potentials and supersymmetric gauge theories

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Wei He
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Moduli Space ◽  
Gauge Theories ◽  
Duality Transformations ◽  
Spectral Solution ◽  
Supersymmetric Gauge ◽  
Strong Coupling Expansions ◽  
Surface Operator ◽  
Function Potential

Abstract We study a relation between asymptotic spectra of the quantum mechanics problem with a four components elliptic function potential, the Darboux-Treibich-Verdier (DTV) potential, and the Omega background deformed N=2 supersymmetric SU(2) QCD models with four massive flavors in the Nekrasov-Shatashvili limit. The weak coupling spectral solution of the DTV potential is related to the instanton partition function of supersymmetric QCD with surface operator. There are two strong coupling spectral solutions of the DTV potential, they are related to the strong coupling expansions of gauge theory prepotential at the magnetic and dyonic points in the moduli space. A set of duality transformations relate the two strong coupling expansions for spectral solution, and for gauge theory prepotential.

scholarly journals Fast spectral solution of the generalized Enskog equation for dense gases

2015 ◽  
Vol 303 ◽  
pp. 66-79 ◽  
Author(s):  
Lei Wu ◽  
Yonghao Zhang ◽  
Jason M. Reese
Keyword(s):  
Enskog Equation ◽  
Dense Gases ◽  
Spectral Solution
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