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Numerical Methods for Conservation Laws
Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than ...
The Boy Who Would Not Play Ball
Burke O. Roberts is desperate to leave the St. Michael's Orphanage in Hopewell, NJ 20 miles from Princeton. He schemes to get his name on The List of children for whom caring families are sought, while auditioning incoming inmates for baseball skills and avoiding the unwanted attentions of The Supervisor. When a seminarian arrives from Baltimore to coach the new team, dynamics are set in motion that propel the book to its explosive but plausible conclusion.
SOLID MECHANICS FOR MATERIALS ENGINEERS -- Principles and Applications of Mesomechanics
This book follows a model of modern pedagogy. It is interdisciplinary and uses specific examples to teach general principles. This text is organized into three main sections. The first section reviews aspects of solid mechanics, with topics normally covered in standard materials courses but also dealing with purer mechanics concepts of relevance in materials science. The second section deals with analytical and computational ideas. The third section is called Experimental Method though it is really a series of examples based on Prof. Prawoto's personal experience. This type of presentation- the use of particular examples to demonstrate broader concepts - is powerful.
Static and Dynamic Crack Propagation in Brittle Materials with XFEM
The aim of this thesis is the simulation of progressive damage in brittle materials due to cracking. With this aim, the mathematical crack model will be solved using the eXtended Finite Element Method for the spatial discretization and time integration schemes for the numerical integration in the time domain. The time integration schemes considered are the Generalized-? method, the continuous GALERKIN method and the discontinuous GALERKIN method.
Inverse Problems In Dynamic Elasticity Imaging
Since the early 1990’s, elasticity imaging techniques are developed as a powerful supplement of the medical toolbox in diagnostic analysis and computer aided surgery. By solving a so-called inverse problem, information about the spatial variation of material parameters of soft (human) tissue are derived from displacement data, which can be measured noninvasively using standard imaging devices such as ultrasound or magnetic resonance tomography. The terms of quasi-static and dynamic elastography refer to the type of load situation, by which the tissue in question is excited. The extension of the theoretical formulation and implementation of the underlying inverse problem in quasi-static ela...
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