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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 real-world systems and
compute features of these systems with a predictable error rate.
Each method presented addresses a specific type of problem, namely
root-finding, optimization, integral, derivative, initial value
problem, or boundary value problem, and each one encompasses a set
of algorithms to solve the problem given some information and to a
known error bound. 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.
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 real-world systems and
compute features of these systems with a predictable error rate.
Each method presented addresses a specific type of problem, namely
root-finding, optimization, integral, derivative, initial value
problem, or boundary value problem, and each one encompasses a set
of algorithms to solve the problem given some information and to a
known error bound. 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.
This book constitutes the refereed proceedings of the 29th Canadian
Conference on Artificial Intelligence, Canadian AI 2016, held in
Victoria, BC, Canada, in May/June 2016. The 12 full papers and 27
short papers presented were carefully reviewed and selected from 97
submissions. The focus of the conference was on the following
subjects: actions and behaviours, audio and visual recognition,
natural language processing, reasoning and learning, streams and
distributed computing.
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