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Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave
A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity. By introducing...
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Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems
In this paper, a new adaptive upwind finite difference method based on the arc-length equidistribution principle is studied for solving the general...
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A Robust Numerical Scheme via Grid Equidistribution for Singularly Perturbed Delay Partial Differential Equations Arising in Control Theory
In this paper, a model constituting the temperature control of a continuous casting process is considered. This model gives rise to singularly...
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Towards efficient waste management: identification of waste flow chains in micro-regional detail through monitored data
Countries around the world are gradually implementing the transition to a circular economy in waste management. This effort should be initiated...
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An Adaptive Conservative Moving Mesh Method
We present an adaptive moving mesh strategy endowed with a mass conservation property for the numerical solution of the two-dimensional linear...
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A Stable Time-Dependent Mesh Method for Generalized Credit Rating Migration Problem
The r-adaptive difference scheme is advanced in this article for solving the generalized credit rating migration model for arbitrary volatility with...
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A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations
The paper presents a higher-order parameter uniform numerical approximation of a fourth-order singularly perturbed boundary value problem on a...
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Improved Routing for the In-Band Network Telemetry Problem
The continuous growth of networks imposes on managers to find new technologies for better handling of traffic measurement for network wide-visibility...
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In The Beginning: Roots of Domination in Graphs
While domination in graphs was first formally defined by Berge in 1958, the roots of domination can be traced back to defense strategies used by the...
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Multi-scale hydro-morphodynamic modelling using mesh movement methods
Hydro-morphodynamic modelling is an important tool that can be used in the protection of coastal zones. The models can be required to resolve spatial...
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Neural Network Algorithm for Intercepting Targets Moving along Known Trajectories by a Dubins’ Car
AbstractThe task of intercepting a target moving along a rectilinear or circular trajectory by a Dubins’ car is formulated as a problem of...
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Nonsubmodular Optimization
In the real world, there are many set function optimization problems with objective function and/or constraint which is neither submodular nor...
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On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term
Li et al. (SIAM J. Sci. Comput. 20:719–738,
1998 ) used the moving mesh partial differential equation (MMPDE) to solve a scaled Fisher’s equation and...
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Constructions of the Travelling Wave Solutions to the MRLW Equation and Their Stability and Accuracy Arising in Plasma Physics
The current article manifests exact travelling wave solutions, numerical solutions, and kink wave answers to the modified regularized long wave...
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A novel approach to subgraph selection with multiple weights on arcs
In this paper, an extension of the minimum cost flow problem is considered in which multiple incommensurate weights are associated with each arc. In...
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Machine Learning-Based Rumor Controlling
In the management of business or political battle, the rumor or disinformation is an important issue to be dealt with. Especially, with the rise of...
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Autonomous Learning Rate Optimization for Deep Learning
A significant question in deep learning is: what should that learning rate be? The answer to this question is often tedious and time consuming to...
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Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
In this paper, we consider the reconstruction of the shape and the impedance function of an obstacle from measurements of the scattered field at a...
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On Rao’s Weighted Distributions for Modeling the Dynamics of Wildfires and Air Pollution
Among the numerous contributions of C. R. Rao to the field of statistics, his formulation of weighted probability distributions in 1963 has received...
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A Context for Calculus
Calculus is often described as the mathematics of change. And one of the most significant things we can do about change is predict it.