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Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this thesis primarily deals with. By employing discrete differential operators satisfying a so called summation-by-parts property, it is possible to prove stability in a systematic manner by mimicking the continuous analysis if the energy has a bound. The articles included in the thesis all aim to solve the problem of ensuring stability of a numerical scheme in some context. This includes a domain decomposition procedure, a non-conforming grid coupling procedure, an application in high energy physics, and two methods at the intersection of machine learning and summation-by-parts theory.
In this book current knowledge of the pathophysiology of shock, sepsis and multi organ failure is presented. The rapid progress which has been made and the results achieved in intensive care medicine are based on sound basic research, which is duly reflected in these chapters. Multiorgan failure is the foremost cause of postoperative and posttraumatic death and many complex mechanisms are involved. Only with a good foundation of basic research can abnormalities in the physiological, biochemical, and morphological course of shock be recognized and the necessary conclusions for treatment drawn. Therapy must proceed from profound knowledge of the multi variant physiological events in order to i...
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