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Lecture

Numerical Approximation of ODEs

Related concepts (25)

Radius of convergence

In mathematics, the radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges. It is either a non-negative real number or . When it is positive, the power series converges absolutely and uniformly on compact sets inside the open disk of radius equal to the radius of convergence, and it is the Taylor series of the analytic function to which it converges.

Edo

Edo (), also romanized as Jedo, Yedo or Yeddo, is the former name of Tokyo. Edo, formerly a jōkamachi (castle town) centered on Edo Castle located in Musashi Province, became the de facto capital of Japan from 1603 as the seat of the Tokugawa shogunate. Edo grew to become one of the largest cities in the world under the Tokugawa. After the Meiji Restoration in 1868 the Meiji government renamed Edo as Tokyo (, "Eastern Capital") and relocated the Emperor from the historic capital of Kyoto to the city.

Ode

An ode (from ōdḗ) is a type of lyric poetry. Odes are elaborately structured poems praising or glorifying an event or individual, describing nature intellectually as well as emotionally. A classic ode is structured in three major parts: the strophe, the antistrophe, and the epode. Different forms such as the homostrophic ode and the irregular ode also enter. Greek odes were originally poetic pieces performed with musical accompaniment.

Edo period

The Edo period or Tokugawa period is the period between 1603 and 1867 in the history of Japan, when Japan was under the rule of the Tokugawa shogunate and the country's 300 regional daimyo. Emerging from the chaos of the Sengoku period, the Edo period was characterized by economic growth, strict social order, isolationist foreign policies, a stable population, perpetual peace, and popular enjoyment of arts and culture, colloquially referred to as Oedo.

Ode on a Grecian Urn

"Ode on a Grecian Urn" is a poem written by the English Romantic poet John Keats in May 1819, first published anonymously in Annals of the Fine Arts for 1819 (see 1820 in poetry). The poem is one of the "Great Odes of 1819", which also include "Ode on Indolence", "Ode on Melancholy", "Ode to a Nightingale", and "Ode to Psyche". Keats found existing forms in poetry unsatisfactory for his purpose, and in this collection he presented a new development of the ode form.