scholarly journals Taylor Series Expansion and Computer Simulation Studies of Random Sequential Adsorption

2000 ◽  
Vol 138 ◽  
pp. 433-441
Author(s):  
Jian-Sheng Wang
Keyword(s):  
Computer Simulation ◽  
Series Expansion ◽  
Taylor Series ◽  
Taylor Series Expansion ◽  
Random Sequential Adsorption ◽  
Simulation Studies ◽  
Sequential Adsorption ◽  
Computer Simulation Studies

scholarly journals Computer Simulation Studies of Mammalian Pyruvate Kinase

1967 ◽  
Vol 242 (9) ◽  
pp. 2124-2133 ◽  
Author(s):  
Lawrence A. Kerson ◽  
David Garfinkel ◽  
Albert S. Mildvan
Keyword(s):  
Computer Simulation ◽  
Pyruvate Kinase ◽  
Simulation Studies ◽  
Computer Simulation Studies

Computer simulation studies on electrodeposition of zinc

1993 ◽  
Vol 34 (3-4) ◽  
pp. 290-294 ◽  
Author(s):  
R. Ravi ◽  
A.Sundara Raj ◽  
Thirumalai Parthiban ◽  
G. Radhakrishnan ◽  
R. Kalidoss
Keyword(s):  
Computer Simulation ◽  
Simulation Studies ◽  
Computer Simulation Studies

Computer simulation studies of the growth of strained layers by molecular-beam epitaxy

1990 ◽  
Vol 42 (5) ◽  
pp. 2914-2922 ◽  
Author(s):  
D. A. Faux ◽  
G. Gaynor ◽  
C. L. Carson ◽  
C. K. Hall ◽  
J. Bernholc
Keyword(s):  
Computer Simulation ◽  
Molecular Beam Epitaxy ◽  
Molecular Beam ◽  
Simulation Studies ◽  
Strained Layers ◽  
Computer Simulation Studies

Full-Scale Bounds Estimation for the Nonlinear Transient Heat Transfer Problems with Interval Uncertainties

2021 ◽  
pp. 2150026
Author(s):  
Ruifei Peng ◽  
Haitian Yang ◽  
Yanni Xue
Keyword(s):  
Heat Transfer ◽  
Series Expansion ◽  
Taylor Series ◽  
Taylor Series Expansion ◽  
Transient Heat Transfer ◽  
High Fidelity ◽  
Interval Scale ◽  
Nonlinear Transient ◽  
Transfer Problems ◽  
Derivatives Of

A package solution is presented for the full-scale bounds estimation of temperature in the nonlinear transient heat transfer problems with small or large uncertainties. When the interval scale is relatively small, an efficient Taylor series expansion-based bounds estimation of temperature is stressed on the acquirement of first and second-order derivatives of temperature with high fidelity. When the interval scale is relatively large, an optimization-based approach in conjunction with a dimension-adaptive sparse grid (DSG) surrogate is developed for the bounds estimation of temperature, and the heavy computational burden of repeated deterministic solutions of nonlinear transient heat transfer problems can be efficiently alleviated by the DSG surrogate. A temporally piecewise adaptive algorithm with high fidelity is employed to gain the deterministic solution of temperature, and is further developed for recursive adaptive computing of the first and second-order derivatives of temperature. Therefore, the implementation of Taylor series expansion and the construction of DSG surrogate are underpinned by a reliable numerical platform. The parallelization is utilized for the construction of DSG surrogate for further acceleration. The accuracy and efficiency of the proposed approaches are demonstrated by two numerical examples.

Sign in / Sign up

Export Citation Format

Share Document