In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and un...
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In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and unconditionally stable in ***,we provide a detailed implementation procedure for full ***,at each time step,only a series of linear differential equations with constant coefficients need to be *** validate the effectiveness of our approach,we conduct an error analysis for this first-order ***,some numerical experiments are provided to verify the energy dissipation of the system and the convergence of the proposed approach.
In this paper,we construct two fully decoupled,second-order semi-discrete numerical schemes for the Boussinesq equations based on the scalar auxiliary variable(SAV)*** introducing a scalar auxiliary variable,the origi...
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In this paper,we construct two fully decoupled,second-order semi-discrete numerical schemes for the Boussinesq equations based on the scalar auxiliary variable(SAV)*** introducing a scalar auxiliary variable,the original Boussinesq system is transformed into an equivalent *** we discretize it using the second-order backward di erentiation formula(BDF2)and Crank-Nicolson(CN)to obtain two second-order time-advanced *** both numerical schemes,a pressure-correction method is employed to decouple the velocity and *** two schemes possess the desired property that they can be fully decoupled with satisfying unconditional *** rigorously prove both the unconditional stability and unique solvability of the discrete ***,we provide detailed implementations of the decoupling ***,various 2D numerical simulations are performed to verify the accuracy and energy stability of the proposed schemes.
From the perspective of real-world interaction scenarios, the assumption of monotypic social dilemma engagement or fixed role allocations within heterogeneous social dilemmas contexts fundamentally misrepresents the d...
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From the perspective of real-world interaction scenarios, the assumption of monotypic social dilemma engagement or fixed role allocations within heterogeneous social dilemmas contexts fundamentally misrepresents the dynamics of human social cognition. Empirical evidence consistently suggests that behavioral plasticity is achieved through adaptive identity switching across heterogeneous social dilemma environments. Herein, we develop an evolutionary game model simultaneously encompassing multiple social dilemmas (prisoner's dilemma game and snowdrift game), wherein agents engage in polymorphic game-environment governed by their own adaptive characteristic. Specifically, during the strategy update phase, if the agent x ′ s current strategy is retained, its strategy stickiness θ x increases one unit; otherwise, the metric reverts to the initial value of 0. Additionally, if θ x reaches the maximum value of 100, it signifies the termination of the old agent and the initialization of a new one, with the metric also reverting to 0. Moreover, agent whose strategy adherence is beyond predefined threshold θ t h is classified as possessing strong social dilemma resolution capacity, while that is below the threshold is allocated to mild-conflict scenarios. Subsequently, through sufficient Monte Carlo simulation, we systematically investigate the evolutionary trajectories and stable-state characteristics of cooperation in dynamically adaptive multi-social dilemma systems, yielding several insightful findings.
In this study, we conducted a comprehensive analysis of the SX Phoenicis (SX Phe) type star CY Aquarii (CY Aqr). Our investigation included a detailed O−C analysis based on a 90-year observational dataset, augmented b...
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