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Explicit Solution of a Dirichlet Problem in Nonconvex Angle
In the present work, we give an explicit solution of the Dirichlet boundary problem for the Helmholtz equation in a nonconvex angle with periodic...
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Explicit solution for a Sea-Breeze flow model with special viscosity functions
In this paper, we are concerned with determining the explicit solution of a Sea-Breeze flow model by selecting a special viscosity function. Firstly,...
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Explicit MPC Solution Using Hasse Diagrams: Construction, Storage and Retrieval
This chapter provides new methods for the construction, storage and retrieval of the explicit MPC solution in the case with quadratic cost and linear...
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Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge–Kutta Schemes
In this paper new explicit integrators for numerical solution of stiff evolution equations are proposed. As shown by Bassenne, Fu and Mani in (J...
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An Explicit Solution of Joint Estimation-Linear Model Predictive Control
Model predictive control (MPC) represents an optimal strategy where constraints on inputs, outputs and system states can be implemented as part of...
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An explicit solution to a game-theoretic bankruptcy problem
This paper complements the breakthrough study by Aumann and Maschler on resolution of the conundrum from the Tractate of Kethuboth. The conundrum...
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An efficient method for train–track–substructure dynamic interaction analysis by implicit-explicit integration and multi-time-step solution
In this work, a method is put forward to obtain the dynamic solution efficiently and accurately for a large-scale train–track–substructure (TTS)...
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A Haaland Based Explicit Solution for Colebrook-White Equation
In hydraulic flow modeling and experimentation, friction factor was usually determined using the Moody chart. Values of friction factor obtained from...
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A novel fully adaptive truly explicit time-marching methodology for the solution of hyperbolic bioheat conduction models
In this work, a truly explicit time-marching methodology is discussed for the time-domain solution for heat propagation considering the...
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On the Maxwell-wave equation coupling problem and its explicit finite-element solution
It is well known that in the case of constant dielectric permittivity and magnetic permeability, the electric field solving the Maxwell’s equations...
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Explicit Formulas for Differentiation of Hyperelliptic Functions
AbstractThe paper provides an explicit solution to the well-known problem of differentiation of hyperelliptic functions with respect to parameters...
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Explicit solution to forward and backward stochastic differential equations with state delay and its application to optimal control
This paper is concerned with linear forward–backward stochastic differential equations (FBSDEs) with state delay, the solvability which is much more...
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Semi-implicit methods for advection equations with explicit forms of numerical solution
We present a parametric family of semi-implicit second order accurate numerical methods for non-conservative and conservative advection equation for...
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An adaptive time integration procedure for automated extended-explicit/implicit hybrid analyses
This paper introduces a new explicit-implicit time-marching formulation, presenting a novel hybrid approach for wave propagation analysis. The...
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Numerical Solution of Two-Dimensional Time Fractional Mobile/Immobile Equation Using Explicit Group Methods
In this paper, we shall present the development of two explicit group schemes, namely, fractional explicit group (FEG) and modified fractional...
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On Explicit Abstract Neutral Differential Equations with State-Dependent Delay
We study the local and global existence and uniqueness of a strict solution for a general class of abstract explicit neutral equations with...
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Partial Learning Using Partially Explicit Discretization for Heterogeneous Transport Problem Simulation
AbstractThis article presents a novel approach for learning and simulating multicontinuum/multiscale problems with limited observations. The proposed...
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Accuracy Analysis for Explicit-Implicit Finite Volume Schemes on Cut Cell Meshes
The solution of time-dependent hyperbolic conservation laws on cut cell meshes causes the small cell problem: standard schemes are not stable on the...
