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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction

3. Differential equation - Wikipedia

   en.wikipedia.org/wiki/Differential_equation

   The order of the differential equation is the highest order of derivative of the unknown function that appears in the differential equation. For example, an equation containing only first-order derivatives is a first-order differential equation, an equation containing the second-order derivative is a second-order differential equation, and so on.

4. Order (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Order_(mathematics)

   Order (differential equation) or order of highest derivative, of a differential equation; Leading-order terms; NURBS order, a number one greater than the degree of the polynomial representation of a non-uniform rational B-spline; Order of convergence, a measurement of convergence; Order of derivation; Order of an entire function

5. Equation - Wikipedia

   en.wikipedia.org/wiki/Equation

   A difference equation is an equation where the unknown is a function f that occurs in the equation through f(x), f(x−1), ..., f(x−k), for some whole integer k called the order of the equation. If x is restricted to be an integer, a difference equation is the same as a recurrence relation

6. Recurrence relation - Wikipedia

   en.wikipedia.org/wiki/Recurrence_relation

   In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only previous terms of the sequence appear in the equation, for a parameter that is independent of ; this number is called the order of the relation.

7. Euler method - Wikipedia

   en.wikipedia.org/wiki/Euler_method

   In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.

8. Order of accuracy - Wikipedia

   en.wikipedia.org/wiki/Order_of_accuracy

   Consider , the exact solution to a differential equation in an appropriate normed space (, | | | |). Consider a numerical approximation u h {\displaystyle u_{h}} , where h {\displaystyle h} is a parameter characterizing the approximation, such as the step size in a finite difference scheme or the diameter of the cells in a finite element method .

9. Scale analysis (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Scale_analysis_(mathematics)

   Scale analysis (or order-of-magnitude analysis) is a powerful tool used in the mathematical sciences for the simplification of equations with many terms. First the approximate magnitude of individual terms in the equations is determined. Then some negligibly small terms may be ignored.