1000 resultados para Stein-Hansen-Scheinkman equation


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The screenplay, “Perfect Blood” (Frank and Stein), is the first two-hour episode of a two-part television miniseries Frank and Stein. This creative work is a science fiction story that speculates on the future of Western nations in a world where petroleum is scarce. A major theme that has been explored in the miniseries is the tension between the advantages and dangers of scientific progress without regard to human consequences. “Perfect Blood” (Frank and Stein) was written as part of my personal creative journey, which has been the transformation from research scientist to creative writer. In the exegetical component of this thesis, I propose that a key challenge for any scientist writing science fiction is the shift from conducting empirical research in a laboratory-based situation to engaging in creative practice research. During my personal creative journey, I found that a predominant difficulty in conducting research within a creative practice-led paradigm was unleashing my creativity and personal viewpoint, practices that are frowned upon in scientific research. The aim of the exegesis is to demonstrate that the transformative process from science to art is not neat and well-structured. My personal creative journey was fraught with many ‘wrong’ turns. However, after reflecting on the experience, I realise that every varied piece of research that I undertook allowed me to progress to the next stage, the next draft of Frank and Stein. And via the disorder of the creative process, a screenplay finally emerged that was both structured and creative, which are equally essential elements in screenwriting.

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In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis. Keywords: The variable-order Galilei invariant advection diffusion equation with a nonlinear source term; The variable-order Riemann–Liouville fractional partial derivative; Stability; Convergence; Numerical scheme improving temporal accuracy