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2. Iterative method - Wikipedia

   en.wikipedia.org/wiki/Iterative_method

   In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived from the previous ones.

3. Approximation theory - Wikipedia

   en.wikipedia.org/wiki/Approximation_theory

   In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. What is meant by best and simpler will depend on the application.

4. Fermi problem - Wikipedia

   en.wikipedia.org/wiki/Fermi_problem

   A Fermi problem (or Fermi question, Fermi quiz), also known as an order-of-magnitude problem, is an estimation problem in physics or engineering education, designed to teach dimensional analysis or approximation of extreme scientific calculations. Fermi problems are usually back-of-the-envelope calculations.

5. Numerical analysis - Wikipedia

   en.wikipedia.org/wiki/Numerical_analysis

   The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/60 2 + 10/60 3 = 1.41421296... [1] Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from ...

6. Numerical methods for ordinary differential equations - Wikipedia

   en.wikipedia.org/wiki/Numerical_methods_for...

   For example, the second-order equation y′′ = −y can be rewritten as two first-order equations: y′ = z and z′ = −y. In this section, we describe numerical methods for IVPs, and remark that boundary value problems (BVPs) require a different set of tools.

7. Method of matched asymptotic expansions - Wikipedia

   en.wikipedia.org/wiki/Method_of_matched...

   In mathematics, the method of matched asymptotic expansions [1] is a common approach to finding an accurate approximation to the solution to an equation, or system of equations. It is particularly used when solving singularly perturbed differential equations. It involves finding several different approximate solutions, each of which is valid (i ...