In numerical analysis, Bernoulli's method, named after Daniel Bernoulli, is a root-finding algorithm which calculates the root of largest absolute value...
30 KB (3,557 words) - 13:43, 6 June 2025
published a polynomial root-finding algorithm which became known as Bernoulli's method. His chief work is Hydrodynamica, published in 1738. It resembles...
18 KB (1,629 words) - 00:38, 16 July 2025
completely broken down. The lunar crater Bernoulli is also named after him jointly with his brother Johann. Jacob Bernoulli's first important contributions were...
21 KB (2,302 words) - 06:11, 9 June 2025
Aitken's delta-squared process (redirect from Aitken method)
Aitken, who introduced this method in 1926 as part of an extension to Bernoulli's method. It is most useful for accelerating the convergence of a sequence...
12 KB (1,975 words) - 20:46, 19 May 2025
and Probability Bernoulli trial Bernoulli's principle Bernoulli's triangle Rue Bernoulli (Bernoulli Road) in Paris 8 - Rue Bernoulli in Paris 8 was named...
2 KB (187 words) - 13:25, 30 July 2025
concealing his method. In addition to his indirect method, he also published the five other replies to the problem that he received. Johann Bernoulli's direct...
37 KB (6,114 words) - 11:51, 2 August 2025
Polynomial root-finding (section Numerical methods)
companion matrix is the classical Bernoulli's method to find the root of greatest modulus. The inverse power method with shifts, which finds some smallest...
29 KB (4,133 words) - 11:37, 4 August 2025
who published his result in the same year and whose method is the one still used today. Bernoulli equations are special because they are nonlinear differential...
6 KB (993 words) - 21:30, 5 February 2024
side with his older brother Jacob Bernoulli. Throughout Johann Bernoulli's education at Basel University, the Bernoulli brothers worked together, spending...
16 KB (1,502 words) - 06:38, 19 April 2025
The coefficients in Bernoulli's formula are now called Bernoulli numbers, following a suggestion of Abraham de Moivre. Bernoulli's formula is sometimes...
93 KB (13,144 words) - 01:38, 9 July 2025
Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical...
92 KB (10,691 words) - 07:32, 30 July 2025
In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary...
27 KB (4,955 words) - 01:13, 28 July 2025
Runge–Kutta methods (English: /ˈrʊŋəˈkʊtɑː/ RUUNG-ə-KUUT-tah) are a family of implicit and explicit iterative methods, which include the Euler method, used...
45 KB (7,400 words) - 05:32, 7 July 2025
In mathematics, in the area of numerical analysis, Galerkin methods are a family of methods for converting a continuous operator problem, such as a differential...
15 KB (2,442 words) - 14:00, 12 May 2025
the Euler–Bernoulli equation using techniques such as "direct integration", "Macaulay's method", "moment area method, "conjugate beam method", "the principle...
47 KB (7,388 words) - 16:52, 4 April 2025
not fixed but rather follows a binomial distribution. The most basic Bernoulli method generates n random variates to extract a sample from a population of...
4 KB (658 words) - 12:06, 25 May 2025
Law of large numbers (redirect from Bernoulli’s Golden Theorem)
known as "Bernoulli's theorem". This should not be confused with Bernoulli's principle, named after Jacob Bernoulli's nephew Daniel Bernoulli. In 1837...
46 KB (6,348 words) - 07:21, 14 July 2025
Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...
60 KB (7,787 words) - 09:24, 15 July 2025
of the results to the calculation of trajectories according to J. Bernoulli's method, Cambridge University Press Bashforth, Francis (1903), A Historical...
8 KB (942 words) - 09:12, 10 May 2025
Binomial distribution (section Wald method)
success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i...
53 KB (7,559 words) - 21:23, 29 July 2025
In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives...
21 KB (3,591 words) - 00:59, 20 May 2025
Least squares (redirect from Method of least squares)
The method of least squares is a mathematical optimization technique that aims to determine the best fit function by minimizing the sum of the squares...
36 KB (5,243 words) - 23:15, 19 June 2025
E (mathematical constant) (section Bernoulli trials)
the inequality ax ≥ x + 1 holds for all x. This is a limiting case of Bernoulli's inequality. Steiner's problem asks to find the global maximum for the...
59 KB (7,151 words) - 19:30, 2 August 2025
Markov chain Monte Carlo (redirect from MCMC method)
sample matches the actual desired distribution. Markov chain Monte Carlo methods are used to study probability distributions that are too complex or too...
63 KB (8,546 words) - 17:14, 28 July 2025
entering the engine. The primary method of adding fuel to the intake air is through the Venturi effect or Bernoulli's principle or with a Pitot tube in...
31 KB (3,781 words) - 16:50, 12 July 2025
century, dismissed Bernoulli's claims on these grounds. However, in 1921 Paul Schafheitlin discovered a manuscript of Bernoulli's lectures on differential...
11 KB (1,195 words) - 23:05, 21 July 2025
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite...
12 KB (1,393 words) - 13:43, 27 May 2024
known as Aitken delta-squared process as part of an extension to Bernoulli's method. Aitken was awarded the Makdougall-Brisbane Prize for 1930–32, and...
14 KB (1,256 words) - 19:43, 16 July 2025
In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential...
21 KB (3,806 words) - 16:22, 21 March 2025
In mathematics, the method of characteristics is a technique for solving particular partial differential equations. Typically, it applies to first-order...
18 KB (2,221 words) - 17:19, 12 June 2025