Nature

Anderson Acceleration and Nonlinear Iterative Methods

Anderson acceleration is an optimisation technique designed to improve the convergence of fixed-point iterations, a common approach utilised in solving nonlinear equations. By blending current and ...
Nature

Absolute Value Equations and Iterative Methods

Absolute value equations (AVEs), characterised by the inclusion of absolute value functions in the variables, present inherently non‐smooth and computationally challenging problems that are often ...
JSTOR Daily

Monotone Iterative Technique via Initial Time Different Coupled Lower and Upper Solutions for Fractional Differential Equations

S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon (1993). A. Yakar, and H. Kutlay, A ...
Simon Fraser University

Numerical Solution Methods

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...
JSTOR Daily

Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods

The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, ...