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What is Numerical Method?

  • In reality,“Solving a math problem” generally involves finding an answer rather than exact answer.
  • Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis.
  • A numerical method is a complete and definite set of procedures for the solution of a problem, together with computable error estimates. The study and implementation of such methods is the field of numerical analysis / numerical methods.
  • A trick that lets you get closer and closer to an exact answer is a “numerical method”.
  • Numerical methods find solutions close to the answer without ever knowing what that answer is. As such, an important part of every numerical method is a proof that it works.

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