Romberg integration
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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 , in (3.5.9) are eliminated, according to the formula … ►When , 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 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.
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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)