This textbook provides a step by step approach to numerical methods in engineering modelling the authors provide a consistent treatment of the topic from the ground up to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent. The authors demonstrate that after developing a proper model and understanding of the engineering situation they are working on engineers can break down a model into a set of specific mathematical problems and then implement the appropriate numerical methods to solve these problems. Numerical modeling can be used to model problems in different fields of geology at various scales such as engineering geology geophysics geomechanics geodynamics rock mechanics and hydrogeology the following are some examples of applications of numerical modeling in geology. Chapter 3 numerical modeling 27 chapter 3 numerical modeling modeling has been a useful tool for engineering design and analysis the definition of modeling as well as numerical methods widely accepted in engineering the numerical results are also carefully analyzed against existing laboratory test data
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