A Superlinearly and Globally Convergent Method for Reaction and Diffusion Problems with a Non-Lipschitzian Operator

2001 ◽  
pp. 79-90 ◽  
Author(s):  
X. Chen
Keyword(s):  
Globally Convergent ◽  
Convergent Method ◽  
And Diffusion ◽  
Diffusion Problems ◽  
Reaction And Diffusion

Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Nguyen Trung Thành
Keyword(s):  
Finite Number ◽  
Scattering Problem ◽  
One Dimensional ◽  
Globally Convergent ◽  
Convergent Method ◽  
Inverse Medium ◽  
Inverse Medium Scattering ◽  
Objective Functional

AbstractWe investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

Solid-State Reaction and Diffusion Behaviors of CaFe2O4 and TiO2 at 1373 K to 1473 K

2021 ◽  
Author(s):  
Mingrui Yang ◽  
Junyi Xiang ◽  
Chenguang Bai ◽  
Xuangeng Zhou ◽  
Zhongci Liu ◽  
...  
Keyword(s):  
Solid State ◽  
Solid State Reaction ◽  
And Diffusion ◽  
Diffusion Behaviors ◽  
Reaction And Diffusion

Decoupling Electrochemical Reaction and Diffusion Processes in Ionically-Conductive Solids on the Nanometer Scale

ACS Nano ◽  
2010 ◽  
Vol 4 (12) ◽  
pp. 7349-7357 ◽  
Author(s):  
Nina Balke ◽  
Stephen Jesse ◽  
Yoongu Kim ◽  
Leslie Adamczyk ◽  
Ilia N. Ivanov ◽  
...  
Keyword(s):  
Diffusion Processes ◽  
Electrochemical Reaction ◽  
Nanometer Scale ◽  
And Diffusion ◽  
Reaction And Diffusion

scholarly journals A derivative free globally convergent method and its deformations

2021 ◽  
Author(s):  
Manoj Kumar Singh ◽  
Arvind K. Singh
Keyword(s):  
Difference Operator ◽  
Linear Equations ◽  
Numerical Test ◽  
Test Functions ◽  
Globally Convergent ◽  
Forward Difference ◽  
Derivative Free ◽  
Fractal Patterns ◽  
Convergent Method ◽  
Non Linear Equations

AbstractThe motive of the present work is to introduce and investigate the quadratically convergent Newton’s like method for solving the non-linear equations. We have studied some new properties of a Newton’s like method with examples and obtained a derivative-free globally convergent Newton’s like method using forward difference operator and bisection method. Finally, we have used various numerical test functions along with their fractal patterns to show the utility of the proposed method. These patterns support the numerical results and explain the compactness regarding the convergence, divergence and stability of the methods to different roots.

scholarly journals Reaction-Diffusion Systems: Self-Balancing Diffusion and the Use of the Extent of Reaction as a Descriptor of Reaction Kinetics

2019 ◽  
Author(s):  
Miloslav Pekař
Keyword(s):  
Reaction Kinetics ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
And Diffusion ◽  
Reaction And Diffusion

Self-balancing diffusion is a concept which restricts the introduction of extents of reactions. This concept is analyzed in detail for mass- and molar-based balances of reaction-diffusion mixtures, in relation to non-self-balancing cases, and with respect to its practical consequences. A note on a recent generalization of the concept of reaction and diffusion extents is also included.<br>

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