Results 71 to 80 of about 1,352,114 (197)

Calculus of Variations: Important Results and Using the Euler-Lagrange Equation

open access: yes, 2023
Calculus of Variations is an area of math where some of the ideas and concepts from differential and integral calculus are applied to functional equations (or functions of functions) to find minimum and maximum functions for a given functional.
Quindlen, Michael
core   +1 more source

Analogy between equilibrium beach profiles and closed universes

open access: yesPhysical Review Research, 2019
We reformulate the variational problem describing equilibrium beach profiles in the thermodynamic approach of Jenkins and Inman [J. Geophys. Res.: Oceans 111, C02003 (2006)10.1029/2005JC002899].
Valerio Faraoni
doaj   +1 more source

Primal SPH Solver for Strongly Coupled Multiphase Simulations with High Density Ratios

open access: yesComputer Graphics Forum, EarlyView.
Abstract In recent years, the Smoothed Particle Hydrodynamics (SPH) approach has been increasingly used for multiphase simulations involving interactions between diverse materials. A critical component of an SPH simulator is the pressure solver, which not only facilitates the simulation of compressible or incompressible fluids but also handles contact ...
Jan Bender   +3 more
wiley   +1 more source

Stability of an Euler–Lagrange–Rassias equation in the spaces of generalized functions [PDF]

open access: yes, 2008
Making use of the fundamental solution of the heat equation we reformulate and prove the stability theorem of a special case of the Euler–Lagrange–Rassias functional equation in the spaces of tempered distributions and Fourier ...
Lee, Young-Su, Chung, Soon-Yeong
core   +1 more source

On the existence of H1-solutions to certain image registration problems

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
The solubility of the class of nonlinear optimization problems arising in image regis­tration is discussed. The necessary optimility conditions (Euler-Lagrange equation) for such kind of problems is a nonlinear Neumann boundary value problem which is not
O. Museyko
doaj   +1 more source

Policy Biases in a Model with Labor‐Market Frictions

open access: yesJournal of Money, Credit and Banking, EarlyView.
Abstract We develop a model with labor‐market matching frictions that is subject to a range of shocks, including shocks to matching efficiency and bargaining power, and use the model to examine how monetary policy should respond to such shocks. We show that optimal monetary policy responds effectively to these shocks, producing economic outcomes that ...
RICHARD DENNIS, TATIANA KIRSANOVA
wiley   +1 more source

The Euler-Lagrange Equation

open access: yes
The Euler-Lagrange equation is a mathematical tool that allows us to find functions which minimize certain quantities, such as a path function that minimizes the energy in a system or the distance between two points.
Murphy-Blanchard, Finn
core   +1 more source

The Optimal Mean–Variance Selling Problem With Finite Horizon

open access: yesMathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson   +2 more
wiley   +1 more source

On the Validity of the Euler–Lagrange Equation [PDF]

open access: yes, 2001
Under some regularity assumptions on the boundary datum u0 (assumptions automatically satisfied in the classical case when the growth of the integrand is bounded by a+b‖ξ‖p), we prove the validity of the Euler–Lagrange equation for the functional∫Ω[f(‖∇u(
Cellina, Arrigo
core   +1 more source

Accelerated Interior Point Algorithms for Rate‐Independent Single Crystal Plasticity at Small Strains

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Rate‐independent single crystal plasticity requires robust solution methods due to the non‐uniqueness of slip system activity. The interior point method, which enforces the yield criterion via slack variables and a so‐called barrier term, has proven both robust and computationally efficient for this class of problems and has been applied to ...
Felix Steinmetz, Lisa Scheunemann
wiley   +1 more source

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