Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method [PDF]
, 2014 In this paper we consider the numerical approximation of the two-phase membrane (obstacle) problem by finite difference method. First, we introduce the notion of viscosity solution for the problem and construct certain discrete nonlinear approximation ...
Arakelyan, Avetik +2 more
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The Characterization of Best Nonlinear Tchebycheff Approximations [PDF]
, 1960 John R. Rice
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Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns [PDF]
Компьютерные исследования и моделирование, 2009 The semiclassical approximation method is applied for solution construction of the Fokker-Planck equation with quadratic nonlocal nonlinearity and various coefficients in models of asset returns estimation.
Andrey Yur'evich Trifonov +2 more
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Nonlinear Approximations to Critical and Relaxation Processes [PDF]
Axioms, 2020 We discuss methods for calculation of critical indices and amplitudes from the perturbative expansions. Several important examples of the Stokes flow through 2D and 3D channels are brought up. Power series for the permeability derived for small values of amplitude are employed to calculation of various critical exponents in the regime of large ...
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Multivariate Padé Approximations For Solving Nonlinear Diffusion Equations
Open Physics, 2015 In this paper, multivariate Padé approximation is applied to power series solutions of nonlinear diffusion equations. As it is seen from tables, multivariate Padé approximation (MPA) gives reliable solutions and numerical results.
Turut V.
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Interaction between the elements characterizing the forced and parametric excitations
Vietnam Journal of Mechanics, 1998 In nonlinear systems, the first order of smallness terms of nonresonance forced and parametric excitations have no effect on the oscillation in the first an approximation. However, they do interact one with another in the second approximation.
Nguyen Van Dao
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Gaussian approximation of nonlinear statistics on the sphere
Journal of Mathematical Analysis and Applications, 2016 We show how it is possible to assess the rate of convergence in the Gaussian approximation of triangular arrays of $U$-statistics, built from wavelets coefficients evaluated on a homogeneous spherical Poisson field of arbitrary dimension. For this purpose, we exploit the Stein-Malliavin approach introduced in the seminal paper by Peccati, Sol , Taqqu ...
Bourguin, Solesne +3 more
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Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems
, 2020 This work develops a nonlinear multigrid method for diffusion problems discretized by cell-centered finite volume methods on general unstructured grids.
Castelletto, Nicola +4 more
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Approximations for Nonlinear Filtering [PDF]
, 1983 The objective of this paper is to show how recent work on nonlinear filtering can give qualitative insight into practical nonlinear filtering and suggest approximation schemes for optimal nonlinear filters.
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On the problem of optimal approximation of the four-wave kinetic integral [PDF]
Nonlinear Processes in Geophysics, 2002 The problem of optimization of analytical and numerical approximations of Hasselmann's nonlinear kinetic integral is discussed in general form.
V. G. Polnikov +2 more
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