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Parker–Sochacki method for solving systems of ordinary differential equations using graphics processorsParker–Sochacki method for solving systems of ordinary differential equations using graphics

Numerical Integration of Highly Oscillatory Functions with and without Stationary Points of integrating factors. The reduction in the original integration problem to a two-stage method for solving ODEs

Symbolic-numeric algorithms for solving BVPs for a system of ODEs of the second order: Multichannel scattering and eigenvalue problems of the waveguide or tunneling type for systems of ODEs of the second order with continuous and piecewise continuous

Symbolic-numeric algorithms for solving BVPs for a system of ODEs of the second order: multichannel scattering and eigenvalue problemsSymbolic-numeric algorithms for solving BVPs for a system of ODEs of the second order: multichannel

Application of Power Geometry and Normal Form Methods to the Study of Nonlinear ODEs integrals of motion of some planar degenerate system in a closed form is given. © 2018 The Authors

Symbolic Investigation of Eigenvectors for General Solution of a System of ODEs with a Symbolic Coefficient Matrix of a system of ordinary differential equations (ODEs) with symbolically defined constant coefficients

Numerical solution of first-order exact differential equations by the integrating factor method; [Численное решение дифференциальных уравнений первого порядка в полных дифференциалах методом интегрирующего множителя] on the efficient calculation of integrating factors and on a "new" numerical method for integrating functions

Multi-stage numerical method of collocations for solving second-order ODEs; [Многостадийный численный метод коллокаций решения ОДУ второго порядка] (in the case of ODE systems with constant coefficients) at this stage is equivalent to the complexity

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

Difference Schemes for Differential Equations with a Polynomial Right-Hand Side, Defining Birational Correspondences †This paper explores the numerical intergator of ODE based on combination of Appelroth’s

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