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Comparison between power difference means and Heron means
Power difference means and Heron means are well-known numerical means with parameters. Their comparison in the positive definite sense is studied....
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Asymptotic Completeness for Many-Body Systems
We prove the asymptotic completeness for the N-body system. We start by observing spectral properties of the Hamiltonian for atoms. We then explain...
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An Explicit Difference Scheme for a Nonlinear Heat Conduction Equation
AbstractWe develop an algorithm for the numerical treatment of nonlinear heat conduction problems, which is adapted to the architecture of...
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Two-Body Problem
In this chapter, we first describe the scattering phenomenon from the mathematical viewpoint and introduce wave operator and S-matrix. Improving the...
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Classical Solutions of Hyperbolic Differential-Difference Equations with Differently Directed Translations
AbstractIn the half-space, three-parameter families of solutions are constructed for hyperbolic differential-difference equations with general-type...
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Orbital Precession in the Restricted Three-Body Problem: Exact Representations
AbstractAnalytical representations of the rate of apsidal precession in the planar elliptical restricted three-body problem are considered in the...
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Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations
In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation. Furthermore, we...
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Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products
Higher order finite difference Weighted Essentially Non-oscillatory (WENO) schemes for conservation laws represent a technology that has been...
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On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation
AbstractWe developed a technique for the numerical solution of a nonlinear equation describing the diffusion transfer of radiation energy. The method...
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A Difference Method for Calculating the Heat Flux on an Inaccessible Boundary in a Heat Conduction Problem
AbstractThe continuation problem for the heat equation is considered. Determining the heat flux on an inaccessible boundary reduces to an inverse...
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Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation with a Simply Supported Boundary Conditions
In this paper, we develop a fourth-order compact finite difference method to numerically solve a fourth-order parabolic differential equation that...
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RETRACTED ARTICLE: Optimal design of garments for high-temperature operations based on the finite difference method
Professional clothing design for high-temperature operations is an essential concern for industrial development. In this paper, for the existing...
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Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas
AbstractFlow around a body moving at a high subsonic velocity in a tube filled with rarefied gas is studied. This aerodynamic problem is considered...
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Discrete-Time Rigid Body Pose Estimation Based on Lagrange–d’Alembert Principle
The problem of rigid body pose estimation is treated in discrete-time via discrete Lagrange–d’Alembert principle and discrete Lyapunov methods. The...
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The Soft Point and Its Applications in Body Falling
From the mesoscopic point of view, a definition of soft point is introduced by considering the attributes of geometric profile and mass distribution....
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Mean radii of symmetrizations of a convex body
We study the relation between some successive and mean radii of a convex body and its Steiner, Schwarz, and Minkowski symmetral. In particular, we...
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Nonlinear vibrations of a composite circular plate with a rigid body
The influence of weights is usually ignored in the study of nonlinear vibrations of plates. In this paper, the effect of structure weights on the...
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Positive periodic solutions for certain kinds of delayed q-difference equations with biological background
This paper specifically focuses on a specific type of q -difference equations that incorporate multiple delays. The main objective is to explore the...
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Egg 10: Newton’s N-Body Problem
To study a famous and important dynamical physics problem with a long history. One of the advantages of power series solutions for the N-Body Problem...
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Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy
A rotation-two-component Camassa–Holm (R2CH) system was proposed recently to describe the motion of shallow water waves under the influence of...
