where J(x) is the Jacobian matrix of partial derivatives of F with respect to x. For optimization problems, the same method is used, where F(x) is the gradient of the objective function and J(x) ...

Kenneth A. Bollen, Structural Equation Models That are Nonlinear in Latent Variables: A Least-Squares Estimator, Sociological Methodology, Vol. 25 (1995), pp. 223-251 ...

This example illustrates the use of the MODEL procedure for nonlinear ordinary least-squares (OLS) regression. The model is a logistic growth curve for the population of the United States. The data is ...

New soliton solutions to the NLSE with parabolic nonlinearity are being explored, featuring conservation laws and pulse ...

In this paper, we further develop the local discontinuous Galerkin method to solve three classes of nonlinear wave equations formulated by the general KdV-Burgers type equations, the general ...

[4] Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation. Archive for Rational Mechanics and Analysis (2016).