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Study and Solution of the Ginzburg-Landau Equation for Superconductivity Problems
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This work focuses on the study and numerical solution of the Ginzburg-Landau (hereafter referred to as GL) partial differential equation, which models the behavior of superconducting materials. Depending on its parameters, the Ginzburg-Landau model can exhibit chaotic states that are challenging to approximate numerically, requiring the use of high-order numerical schemes. In this work, the resolution of this model was addressed in both the 1D and 2D cases. In both cases, an IMEX-type method based on finite differences was used, which provided good results.
Servizo de Publicacións. Universidade da Coruña
Title: Study and Solution of the Ginzburg-Landau Equation for Superconductivity Problems
Description:
This work focuses on the study and numerical solution of the Ginzburg-Landau (hereafter referred to as GL) partial differential equation, which models the behavior of superconducting materials.
Depending on its parameters, the Ginzburg-Landau model can exhibit chaotic states that are challenging to approximate numerically, requiring the use of high-order numerical schemes.
In this work, the resolution of this model was addressed in both the 1D and 2D cases.
In both cases, an IMEX-type method based on finite differences was used, which provided good results.
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