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Efficient Numerical Integration Methods for the Cauchy Problem for Stiff Systems of Ordinary Differential Equations of switching to a new argument, the integral curve arc length, are demonstrated. Various mesh step selection

The Ostrowski type inequalities with the application to the three point integral formulaThe generalization of the integral formula with three nodes is introduced, and some sharp

The Implementation of the Symbolic-Numerical Method for Finding the Adiabatic Waveguide Modes of Integrated Optical Waveguides in CAS Maple in numerical form. We have chosen a different approach, in which to describe the waveguide propagation

On Dependence of Deviation of Numerical Solution from the Real Solution for Different Valuesof the Parameters of the Constraint PerturbationsThe accumulation of errors during numerical integration can lead to instability of the numerical

Application of a numerical-analytical approach in the process of modeling differential equations in the Julia language and afterwards, they are converted into numerical ones. It is a fairly complicated task, but it can easily

The Method of Optical Paths for the Numerical Solution of Integrated Photonics ProblemsA number of topical problems of integrated photonics are reduced to oblique incidence of radiation

О СООТНОШЕНИИ МЕЖДУ СТАБИЛИЗАЦИЕЙ СВЯЗЕЙ И ДИССИПАТИВНОЙ ФУНКЦИИ ПРИ РЕШЕНИИ ОБРАТНОЙ ЗАДАЧИ ДИНАМИКИThe accumulation of errors during numerical integration can lead to instability of the numerical

Determination of constraint stabilization parameters with multiple roots of characteristic equationDuring a numerical integration of motion equations of a constrained mechanical system effect

Analytical calculations in maple to implement the method of adiabatic modes for modelling smoothly irregular integrated optical waveguide structures of adiabatic waveguide modes, applied in mathematical modeling of smoothly irregular integrated

The stable numerical solution of integral equation of Fredholm in plasma physicsThe purpose of this work is to create an approximate solution of the Fredholm integral equation

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