Extended generalized Lagrangian multipliers for magnetohydrodynamics using adaptive multiresolution methods

Extended Extragradient Methods for Generalized Variational Inequalities

where C is a nonempty closed convex subset of a real Hilbert space H and A : C → H is a nonlinear operator. This problem has been researched extensively due to its applications in industry, finance, economics, optimization, medical sciences, and pure and applied sciences; see, for instance, 1–19 and the reference contained therein. For solving the above variational inequality, Korpelevičh 20 in...

Real robustness bounds using generalized stability multipliers

Su cient conditions for robust stability using generalized stability multipliers are presented for systems with sectorand norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency griddi...

EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. The conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. Each of these algorithms has advantages over current methods. Moreover,for each algorithm a convergence formula can b...

Discretization-Corrected PSE Operators For Adaptive Multiresolution Particle Methods

Mathematical models in the form of differential equations can often not be solved analytically, but need to be simulated by means of a numerical method. Particle methods are mesh-free schemes that use independent or pairwise interacting particles to represent the physical properties of a system. This allows for natural adaptivity in complex or deforming geometries. The Lagrangian frame of refer...

Implicit Numerical Methods for Magnetohydrodynamics