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Solving Stiff Systems of ODEs by Explicit Methods with Conformed Stability DomainsThe Cauchy problem for a stiff system of ODEs is considered. The explicit m-stage first order
ON THE RELIABILITY OF RESULTS OF MATHEMATICAL MODELING OF NONSTATIONARY WAVES OF STRESSES IN THE COMPLEX-FORM OBJECTSThe article deals with evaluation of reliability and accuracy of results of solution of different
О траекториях динамических систем с квадратичной правой частью, вычисленных по обратимым разностным схемам are written explicitly for the Jacobi oscillator. In the case of the Volterra-Lotka system, these points line
Численные методы решения задачи Стефана of the explicit scheme leads to a marked increase in computation time, the six-point symmetric scheme may have
Difference Schemes for Differential Equations with a Polynomial Right-Hand Side, Defining Birational Correspondences, showing that (1) the Kahan scheme describes the branch points as poles, significantly deviating from
Estimating the Domain of Absolute Stability of a Numerical Scheme Based on the Method of Solution Continuation with Respect to a Parameter for Solving Stiff Initial Value Problems that make it possible to enhance the stability of explicit numerical schemes. Most frequently, the used best
Types of masks in Marina Tsvetaeva’s poetry of this operation is deceptive. We observed four types of masks fulfilling different functions: 1) euphemistic
Difficulties faced by Yee's scheme in photonics problems permeability is also discontinuous at the same points, the scheme does not allow to perform computation. We
Use of finite difference method for numerical solution of three-dimensional heat transfer fractional differential equation, an explicit difference scheme described in the paper is used. The stability of a proposed difference scheme
Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data. Four types of approximations are considered: the regularization method, the Galerkin semi
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