# Romberg integration

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## 1—10 of 142 matching pages

##### 1: 3.5 Quadrature

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###### §3.5(iii) Romberg Integration

►Further refinements are achieved by*Romberg integration*. …With the Romberg scheme successive terms ${c}_{1}{h}^{2},{c}_{2}{h}^{4},\mathrm{\dots}$, in (3.5.9) are eliminated, according to the formula … ►When $f\in {C}^{\mathrm{\infty}}$, the Romberg method affords a means of obtaining high accuracy in many cases with a relatively simple adaptive algorithm. … ►See Davis and Rabinowitz (1984, pp. 440–441) for modifications of the Romberg method when the function $f$ is singular. …##### 2: 19.13 Integrals of Elliptic Integrals

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###### §19.13(i) Integration with Respect to the Modulus

… ►###### §19.13(ii) Integration with Respect to the Amplitude

…##### 3: Alexander A. Its

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►Current research areas of Its are mathematical physics, special functions, and integrable systems.
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► Novokshënov), published by Springer in 1986, Algebro-geometric Approach to Nonlinear Integrable Problems (with E.
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##### 4: Vadim B. Kuznetsov

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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
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##### 5: 9.14 Incomplete Airy Functions

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►Incomplete Airy functions are defined by the contour integral (9.5.4) when one of the integration limits is replaced by a variable real or complex parameter.
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##### 6: Alexander I. Bobenko

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►Bobenko’s books are Algebro-geometric Approach to Nonlinear Integrable Problems (with E.
… Eitner), published by Springer in 2000, and

*Discrete Differential Geometry: Integrable Structure*(with Y. …He is also coeditor of*Discrete Integrable Geometry and Physics*(with R. …##### 7: 32.16 Physical Applications

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###### Integrable Continuous Dynamical Systems

…##### 8: 36.15 Methods of Computation

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###### §36.15(iii) Integration along Deformed Contour

… ►###### §36.15(iv) Integration along Finite Contour

…##### 9: Simon Ruijsenaars

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►His main research interests cover integrable systems, special functions, analytic difference equations, classical and quantum mechanics, and the relations between these areas.
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##### 10: Funding

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Systems Integration for Manufacturing Applications Program of the Engineering Laboratory (formerly Manufacturing Engineering Laboratory)