Results 31 to 40 of about 7,066 (206)

Transformations of Heun's equation and its integral relations

open access: yes, 2011
We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation.
Arscott F M   +13 more
core   +1 more source

On evaluation of the Heun functions

open access: yes, 2015
In the paper we deal with the Heun functions --- solutions of the Heun equation, which is the most general Fuchsian equation of second order with four regular singular points.
Motygin, Oleg V.
core   +1 more source

Heun equations coming from geometry [PDF]

open access: yesBulletin of the Brazilian Mathematical Society, New Series, 2012
We give a list of Heun equations which are Picard-Fuchs associated to families of algebraic varieties. Our list is based on the classification of families of elliptic curves with four singular fibers done by Herfurtner. We also show that pullbacks of hypergeometric functions by rational Belyi functions with restricted ramification data give rise to ...
Movasati, Hossein, Reiter, Stefan
openaire   +2 more sources

Heun Method Using to Solve System of NonLinear Functional Differential Equations

open access: yesمجلة بغداد للعلوم, 2007
In this paper Heun method has been used to find numerical solution for first order nonlinear functional differential equation. Moreover, this method has been modified in order to treat system of nonlinear functional differential equations .two numerical ...
Baghdad Science Journal
doaj   +1 more source

Out With the Old: Empirical Trends in U.S. Land‐Based Wind Turbine Decommissioning and Repowering

open access: yesWind Energy, Volume 29, Issue 3, March 2026.
ABSTRACT A growing number of wind turbines (WTs) across the globe are now reaching or exceeding their expected service lifetime; WT decommissioning is on the rise. Accordingly, questions pertaining to WT end‐of‐life have risen in importance in policy and practice. Yet, research on the various factors relating to WT decommissioning is relatively sparse.
Joseph Rand   +4 more
wiley   +1 more source

Ince's limits for confluent and double-confluent Heun equations

open access: yes, 2005
We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation).
Abramowitz M.   +15 more
core   +1 more source

DiffScale: Continuous Downscaling and Bias Correction of Subseasonal Wind Speed Forecasts Using Diffusion Models

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract Renewable energy generation is highly sensitive to both local and large‐scale atmospheric dynamics. Skillful subseasonal to seasonal (S2S) forecasts—ranging from 2 weeks to two months—can provide substantial socioeconomic benefits for the energy sector.
Maximilian Springenberg   +3 more
wiley   +1 more source

Holographic thermal correlators from recursions

open access: yesJournal of High Energy Physics
We express holographic thermal correlators using a recurrence relation of {a n } at n → ∞, building on recent advances in the connection formula for the Heun equation.
Jie Ren, Zhe Yu
doaj   +1 more source

Classical Conformal Blocks and Painleve VI [PDF]

open access: yes, 2013
We study the classical c\to \infty limit of the Virasoro conformal blocks. We point out that the classical limit of the simplest nontrivial null-vector decoupling equation on a sphere leads to the Painleve VI equation.
Litvinov, Alexey   +3 more
core   +2 more sources

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

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