scholarly journals Mean-square stability and error analysis of implicit time-stepping schemes for linear parabolic SPDEs with multiplicative Wiener noise in the first derivative

2012 ◽  
Vol 89 (18) ◽  
pp. 2562-2575 ◽  
Author(s):  
Christoph Reisinger
Keyword(s):  
Error Analysis ◽  
Implicit Time ◽  
Mean Square ◽  
Time Stepping ◽  
First Derivative ◽  
Mean Square Stability ◽  
Stability And Error Analysis

Error Analysis of Symplectic Multiple Time Stepping

1997 ◽  
Vol 34 (5) ◽  
pp. 1792-1807 ◽  
Author(s):  
Todd R. Littell ◽  
Robert D. Skeel ◽  
Meiqing Zhang
Keyword(s):  
Error Analysis ◽  
Multiple Time ◽  
Time Stepping

A Numerical Model of In-Channel Pebble Bed Thermal Storage for a Solar Chimney

2012 ◽  
Author(s):  
Brandon Schulte ◽  
O. A. Plumb
Keyword(s):  
Numerical Model ◽  
Present Model ◽  
Thermal Storage ◽  
Implicit Time ◽  
Heat Transfer Characteristics ◽  
Solar Chimney ◽  
Pebble Bed ◽  
One Dimensional ◽  
Time Stepping ◽  
Daily Energy

In this study, solar chimney performance is numerically modeled. Previously published models have considered water bags and natural earth as means to store daytime thermal energy for nighttime operation of the system. The present model considers in-channel pebble bed thermal storage. A one-dimensional, implicit time stepping numerical model is developed to predict solar chimney performance throughout a 24 hour period. The model is partially verified with available experimental data. The daily energy, daily efficiency and heat transfer characteristics of the solar chimney with pebble bed thermal storage are summarized. The numerical simulation showed that by introducing a pebble bed, nightly exit velocities reach 40% of the peak daytime velocity. However, the daily kinetic energy delivered by a solar chimney with pebble bed thermal storage is much less than a traditional solar chimney, suggesting pebble bed thermal storage is more practicable in building heating applications as opposed to power generation.

scholarly journals Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative

2000 ◽  
Vol 70 (235) ◽  
pp. 1195-1205 ◽  
Author(s):  
Yoshinori Miyazaki ◽  
Yasushi Kikuchi ◽  
DongSheng Cai ◽  
Yasuhiko Ikebe
Keyword(s):  
Wave Function ◽  
Error Analysis ◽  
Coulomb Wave Function ◽  
First Derivative
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