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We discuss the computational complexity of the problem, and develop several heuristic procedures for solving it.
At the heart of theoretical computer science are algorithms—the step-by-step procedures for solving a problem.
This included not only electronic devices and computers, but also instrumentation and procedures for solving problems in biology and medicine.
Computational results are provided to demonstrate the efficacy of the lower and upper bound procedures for solving the problem.
The authors had broken the subject down into different "problem types" students might encounter on an exam, and provided step-by-step procedures for solving each one.
So the one sentence summary of this class is that this is about efficient procedures for solving problems on large inputs.
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--efficient proceduresolving solarge large scale problems in this class.
An algorithm is a specific procedure for solving a well-defined computational problem.
An algorithm, for those who don't know, is a "finite sequence of instructions, an explicit, step-by-step procedure for solving a problem".
The simply supported case is used to illustrate the procedure for solving the nonlinear equations.
Our general framework is applicable to any numerical discretization procedure for solving ODEs or PDEs.
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