Results 91 to 100 of about 2,924,633 (320)
Comparison of wavelet approximation order in different smoothness spaces
International Journal of Mathematics and Mathematical Sciences, 2006 In linear approximation by wavelet, we approximate a given function by a finite term from the wavelet series. The approximation order is improved if the order of smoothness of the given function is improved, discussed by Cohen (2003), DeVore (1998), and ...
M. R. Islam +2 more
doaj +1 more source
A Nonlinear Splitting Algorithm for Systems of Partial Differential Equations with self-Diffusion [PDF]
, 2015 Systems of reaction-diffusion equations are commonly used in biological models of food chains. The populations and their complicated interactions present numerous challenges in theory and in numerical approximation.
Beauregard, Matthew +2 more
core +2 more sources
, 2010 A fourth-order Runge-Kutta in the interaction picture (RK4IP) method is presented for solving the coupled nonlinear Schrodinger equation (CNLSE) that governs the light propagation in optical fibers with randomly varying birefringence.
Ablowitz +25 more
core +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
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
doaj +1 more source
APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS
NWSA Academic Journals, 2017 The modified homotopy perturbation method (MHPM) is used for solving the differential equation of pendulum model. Comparisons are made between the standard HPM and the MHPM. The results show that this method is effective and can obtain high accuracy solutions by only one iteration.
openaire +5 more sources
, 2010 Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier +2 more
core +2 more sources
Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation
International Journal of Adaptive Control and Signal Processing, EarlyView.ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath +4 more
wiley +1 more source
The Characterization of Best Nonlinear Tchebycheff Approximations [PDF]
, 1960 John R. Rice
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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 ...
openaire +4 more sources