Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao +4 more
doaj +1 more source
On analysis error covariances in variational data assimilation [PDF]
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function (analysis).
Shutyaev, V. +5 more
core +1 more source
Performance comparison between maximum likelihood estimation and variational method for estimating simple linear regression parameter [PDF]
Variational estimation method is a deterministic approximation technique which involves Bayesian framework while giving a point estimate instead of the usual Bayesian interval estimation. The linear regression model, which has always been a popular model,
Widyaningsih Yekti +2 more
doaj +1 more source
Crystalline variational methods [PDF]
A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
openaire +2 more sources
Variational Methods for Normal Integration [PDF]
The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration, with a focus on non-rectangular
Yvain Quéau +2 more
openaire +4 more sources
On optimal solution error covariances in variational data assimilation problems [PDF]
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find unknown parameters such as distributed model coefficients or boundary conditions. The equation for the optimal solution error
Le Dimet, F.X. +6 more
core +1 more source
Optimal solution error covariance in highly nonlinear problems of variational data assimilation [PDF]
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem (see, e.g.[1]) to find the initial condition, boundary conditions or model parameters.
Le Dimet, F.X. +11 more
core +1 more source
Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
doaj +1 more source
On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems [PDF]
We formulate and analyze an adaptive nonconforming finite element method for the solution of convex variational problems. The class of minimization problems we admit includes highly singular problems for which no Euler–Lagrange equation (or inequality ...
Christoph Ortner +3 more
core +1 more source
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko +19 more
wiley +1 more source

