An effective solution to the nonlinear, nonstationary Navier-Stokes equations for two dimensions [PDF]
A sequence of approximate solutions for the nonlinear, nonstationary Navier-Stokes equations for a two-dimensional domain, from which explicit error estimates and rates of convergence are obtained, is described.
Gabrielsen, R. E.
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Application of the Variational-Structural Method to Investigate the Elasto-Plastic Bending of Thin Shells and Plates [PDF]
, 2016 The effective method basing on theory of R-functions and variational structural method is developedfor solving non-linear boundary problems. Elastic-plastic bending of thin shallow shells is considered.
Lyubitska, Kateryna +2 more
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A Newton-Kantorovich method for a functional equation relative to the conformal representation
Analysis, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LANZA DE CRISTOFORIS, MASSIMO +1 more
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A family of approximate solutions and explicit error estimates for the nonlinear stationary Navier-Stokes problem [PDF]
An algorithm for solving the nonlinear stationary Navier-Stokes problem is developed. Explicit error estimates are given.
Gabrielsen, R. E., Karel, S.
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Iterative methods for solving quadratic Volterra integral equations of the first kind
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The paper is devoted to the numerical study of integral equations of the first kind with quadratic nonlinearity, which are part of the generalized Volterra integropower series and describe dynamical systems with one input and one output. Such
A.N. Tynda
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Efficient Discrete Optimal Transport Algorithm by Accelerated Gradient Descent. [PDF]
Proc AAAI Conf Artif Intell, 2022 An D, Lei N, Xu X, Gu X.
europepmc +1 more source
An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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Entropy-Regularized Optimal Transport on Multivariate Normal and q-normal Distributions. [PDF]
Entropy (Basel), 2021 Tong Q, Kobayashi K.
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The Stress-strain State of the Rubber-metall Seismic Bearing
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 This work is devoted to elaboration of finite element approach for the numerical analysis of parameters of the stress-strain state of the rubber-metal seismic bearing under viscoelastic deformation in the presence of layers of porous rubber.
Sergej I Gomenjuk +3 more
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High-precision newton-kantorovich method for nonlinear integral equations
The paper considers the numerical solution of nonlinear integral equations using the Newton-Kantorovich method with the mpmath library. High-precision quadrature of the kernel K(t, s, u) with respect to the variable s for fixed t increases stability and accuracy in problems sensitive to rounding and dispersion.
Chertoganov, Kirill A. +1 more
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