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On Computing Ellipsoidal Harmonics Using Jekeli´s Renormalization
, however, are difficult to use in practice because the computation of the associated Legendre functions of the second kind that occur in the ellipsoidal harmonic expansions Legendre functions. We extended...
BN - Astronomie a nebeská mechanika, astrofyzika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions
of a discrete quadratic functional with one endpoint allowed to vary. In particular, we derive the exact form and explain the role of the (strengthened) Legendre condition functional is equivalent to each of the f...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-singular expressions for the spherical harmonic synthesis of gravitational curvatures in a local north-oriented reference frame
derivatives of the associated Legendre functions. Moreover, some of these expansions also the associated Legendre functions and their derivatives. Numerical experiments demonstrate tools used by ...
DE - Zemský magnetismus, geodesie, geografie
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
An OpenCL implementation of ellipsoidal harmonics
Legendre functions are mostly recursive and thus sequential. Therefore, it is challenging, but feasible, to arrange the processing of Legendre functions in a way of Legendre functions. We demonst...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Approximation representation of Legendre functions of the 1st and the 2nd kind for constructing Galerkin?s matrix and Earth?s gravity field modelling in the system of ellipsoidal coordinates
of Legendre functions of the 1st and the 2nd kind by means of hypergeometric functions and series, the manipulation with these functions and series, stability questions etc ellipsoidal harmonics are getting import...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Approximation representation of Legendre functions of the 1st and the 2nd kind for constructing Galerkin?s matrix and Earth?s gravity field modelling in the system of ellipsoidal coordinates
of Legendre functions of the 1st and the 2nd kind by means of hypergeometric functions and series, the manipulation with these functions and series, stability questions etc ellipsoidal harmonics are getting import...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- A
Rok uplatnění
A - Audiovizuální tvorba
Higher Order Hamiltonian Systems with Generalized Legendre Transformation
Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found. The generalized Legendre transformation regular and the Legendre transformation exists; (b) the H...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
New methods for numerical evaluation of ultra-high degree and order associated Legendre functions
We improve the precision and computation speed of the fully-normalized associated Legendre functions (fnALFs) for ultra-high degrees and orders of spherical harmonic transforms. We take advantage of their numerical behaviou...
Physical geography
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Time scale embedding theorem and coercivity of quadratic functionals
it to the Riccati matrix equation associated with the quadratic functional J. Consequently, weIn this paper we study the relation between the coercivity and positivity of a time scale quadratic functional J, which could be...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An OpenCL implementation of ellipsoidal harmonics
of Legendre functions (of the first as well as 2nd kind) are basically recurrent and thus to be challenging, but still feasible, to arrange an evaluation of Legendre functions in a way) harmonic functions...
DE - Zemský magnetismus, geodesie, geografie
- 2013 •
- A
Rok uplatnění
A - Audiovizuální tvorba
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