Scientific Computing and the Huygens' Principle


Abstract. Mathematics has been present in the development of society since time immemorial; great figures have dedicated their entire life to analysis and research in various branches of this broad science. Scientific Computing is closely related to the design and construction of mathematical models aimed at solving scientific, social and engineering problems. There are several applications of this discipline, for example for mathematical simulations of differential equations in partial derivatives that describe the propagation of a variety of waves such as sound waves, or heat conduction problems in different media, which can be solved using The Fourier Analysis. Through Graphical Computing the Huygens Principle can be verified. All these models can be implemented through the computer in order to facilitate the complex calculations that must be done to solve problems of this type and depending on the case to condense all this information into a graph "A good graph says more than a thousand words (Chinese Proverb) ".  

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