Solution of local meteorologic problems by numerical methods

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

Trigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems

In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numeri...

Variational methods for the numerical solution of nonlinear elliptic problems

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Shooting Methods for Numerical Solution of Stochastic Boundary-Value Problems

In the present investigation, numerical methods are developed for approximate solution of stochastic boundary-value problems. In particular, shooting methods are examined for numerically solving systems of Stratonovich boundary-value problems. It is proved that these methods accurately approximate the solutions of stochastic boundary-value problems. An error analysis of these methods is perform...

Numerical Solution of Cohesive Crack Problems through Optimization Methods

1. Abstract We propose a novel approach for the analysis of cohesive crack propagation in elastic media. Unlike all existing methods that move from continuous displacement formulations that are properly enriched to handle the discontinuity, see e.g. the extended finite element method (XFEM) or the embedded discontinuity approaches, inherently discontinuous displacements and H(div,Ω) stresses in...