Results 101 to 110 of about 78,450 (174)

Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets

open access: yesEarth and Space Science, Volume 13, Issue 5, May 2026.
Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill   +2 more
wiley   +1 more source

Analysis and modeling of fractional Mandelbrot scaling for parameterization-invariant theories for mechanical systems

open access: yesPhysics Open
This study presents a comprehensive analysis and modeling framework that integrates Mandelbrot's fractal scaling with fractional variational principles to advance the understanding of parameterization-invariant theories for mechanical systems.
Yazen M. Alawaideh   +5 more
doaj   +1 more source

Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator

open access: yesElectronic Journal of Differential Equations, 2017
We consider a discrete Dirichlet boundary value problem of equations with the (p,q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions.
Antonella Nastasi   +2 more
doaj  

Newton's method in the context of gradients

open access: yesElectronic Journal of Differential Equations, 2007
This paper gives a common theoretical treatment for gradient and Newton type methods for general classes of problems. First, for Euler-Lagrange equations Newton's method is characterized as an (asymptotically) optimal variable steepest descent method ...
John W. Neuberger, Janos Karatson
doaj  

Explicit minimisers for anisotropic Riesz energies. [PDF]

open access: yesCalc Var Partial Differ Equ
Frank RL   +5 more
europepmc   +1 more source

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