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  2. Numerical methods for ordinary differential equations - Wikipedia

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

    This class includes Hermite–Obreschkoff methods and Fehlberg methods, as well as methods like the Parker–Sochacki method [17] or Bychkov–Scherbakov method, which compute the coefficients of the Taylor series of the solution y recursively. methods for second order ODEs. We said that all higher-order ODEs can be transformed to first-order ...

  3. Frobenius solution to the hypergeometric equation - Wikipedia

    en.wikipedia.org/wiki/Frobenius_solution_to_the...

    We can use exactly the same methods that we have just used for the standard solution in the last section. We shall not (in the instance where γ = 4 {\displaystyle \gamma =4} ) replace a 0 {\displaystyle a_{0}} with b 0 ( c + 3 ) {\displaystyle b_{0}(c+3)} as this will not give us the standard form of solution that we are after.

  4. Standard addition - Wikipedia

    en.wikipedia.org/wiki/Standard_addition

    Later in the German literature, this method was called as Standardzugabe, meaning "standard addition" in English. Modern polarography typically involves using three solutions: the standard solution, the unknown solution, and a mixture of the standard and unknown solution.

  5. CRC Standard Mathematical Tables - Wikipedia

    en.wikipedia.org/wiki/CRC_Standard_Mathematical...

    20th edition (1972) 21st edition (1973) 22nd edition (1974) 23rd edition (1975) 24th edition (1976) 25th edition (1979) 26th edition (1981) 27th edition (1985) 28th edition (1990) 29th edition (1991) CRC Standard Mathematical Tables and Formulae (Daniel Zwillinger, ed.) 30th edition (1996) 31st edition (2003) 32nd edition (2011) CRC Standard ...

  6. Standard solution - Wikipedia

    en.wikipedia.org/wiki/Standard_solution

    Standard solutions are generally prepared by dissolving a solute of known mass into a solvent to a precise volume, or by diluting a solution of known concentration with more solvent. [1] A standard solution ideally has a high degree of purity and is stable enough that the concentration can be accurately measured after a long shelf time. [2]

  7. Standard algorithms - Wikipedia

    en.wikipedia.org/wiki/Standard_algorithms

    In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems. . These methods vary somewhat by nation and time, but generally include exchanging, regrouping, long division, and long multiplication using a standard notation, and standard formulas for average, area, and vol

  8. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    Resolved. Result: Yes, proven by Ennio De Giorgi and, independently and using different methods, by John Forbes Nash. 1957 20th: Do all variational problems with certain boundary conditions have solutions? Partially resolved. A significant topic of research throughout the 20th century, resulting in solutions for some cases. [24] [25] [26]? 21st

  9. Ordinary differential equation - Wikipedia

    en.wikipedia.org/wiki/Ordinary_differential_equation

    To use this method, we simply guess a solution to the differential equation, and then plug the solution into the differential equation to validate if it satisfies the equation. If it does then we have a particular solution to the DE, otherwise we start over again and try another guess.