In this paper,we propose a new conservative gradient discretization method(GDM)for one-dimensional parabolic partial differential equations(PDEs).We use the implicit Euler method for the temporal discretization and co...
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In this paper,we propose a new conservative gradient discretization method(GDM)for one-dimensional parabolic partial differential equations(PDEs).We use the implicit Euler method for the temporal discretization and conservative gradient discretization method for spatial *** method is based on a new cellcentered meshes,and it is locally *** has smaller truncation error than the classical finite volume method on uniform *** use the framework of the gradient discretization method to analyze the stability and *** numerical experiments show that the new method has second-order ***,it is more accurate than the classical finite volume method in flux error,L2 error and L¥error.
The strong effective magnetic fields with flux to the order of one flux quantum per plaquette has been realized for ultracold atoms,and the quantum cyclotron orbit of a single atom in a single plaquette exposed to the...
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The strong effective magnetic fields with flux to the order of one flux quantum per plaquette has been realized for ultracold atoms,and the quantum cyclotron orbit of a single atom in a single plaquette exposed to the magnetic field was directly revealed recently [***.107 (2011) 255301].We study the quantum cyclotron orbits of a bosonic atom in a triple well with a synthetic gauge field,and find that the dynamics of the atom in real space is similar to a classical dynamic *** is interesting that the billiard-like motion is a signature of the quantum evolution of the three-level system,and its behaviors are determined by the ratio of the two energy gaps of the three energy levels.
The geometric and electronic properties of AuO(CO2)n−/+ (n = 1 − 3) clusters were studied using density functional theory (DFT). Our results reveal that the coordination of the AuO unit with CO2 significantly alters C...
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In this paper,we propose an approach for constructing conservative and maximum-principle-preserving finite volume schemes by using the method of undetermined coefficients,which depend nonlinearly on the linear non-con...
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In this paper,we propose an approach for constructing conservative and maximum-principle-preserving finite volume schemes by using the method of undetermined coefficients,which depend nonlinearly on the linear non-conservative onesided *** order to facilitate the derivation of expressions of these undetermined coefficients,we explicitly provide a simple constriction condition with a scaling *** constriction conditions can ensure the final schemes are exact for linear solution problems and may induce various schemes by choosing different values for the *** particular,when this parameter is taken to be 0,the nonlinear terms in our scheme degenerate to a harmonic average combination of the discrete linear fluxes,which has often been used in a variety of maximum-principle-preserving finite volume *** our method of determining the coefficients of the nonlinear terms is more *** addition,we prove the convergence of the proposed schemes by using a compactness *** results demonstrate that our schemes can preserve the conservation property,satisfy the discrete maximum principle,possess a second-order accuracy,be exact for linear solution problems,and be available for anisotropic problems on distorted meshes.
Stochastic generalized porous media equation with jump is considered. The aim is to show the moment exponential stability and the almost certain exponential stability of the stochastic equation.
Stochastic generalized porous media equation with jump is considered. The aim is to show the moment exponential stability and the almost certain exponential stability of the stochastic equation.
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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This paper establishes a high order condition on the restricted isometry property adapted to a frame D （D-RIF） for the signal recovery. It is shown that if the measurementmatrix A satisfies the D-RIP condition δtk ...
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This paper establishes a high order condition on the restricted isometry property adapted to a frame D （D-RIF） for the signal recovery. It is shown that if the measurementmatrix A satisfies the D-RIP condition δtk 〈t-1/t for t 〉 1, then all signals f which aresparse in terms of a tight frame D can be recovered stably or exactly via the l1-analysis model based on y= Af ＋ z in 12 and Dantzig selector bounded noise setting.
In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in R^N, N≥ 2, under the assumptions that the initialdensity is bounded away from zero. The proof relies on ...
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In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in R^N, N≥ 2, under the assumptions that the initialdensity is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.
In this paper, a sufficient condition is obtained to ensure the stable recovery(ε≠ 0) or exact recovery(ε = 0) of all r-rank matrices X ∈ Rm×nfrom b = A(X) + z via nonconvex Schatten p-minimization for anyδ4...
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In this paper, a sufficient condition is obtained to ensure the stable recovery(ε≠ 0) or exact recovery(ε = 0) of all r-rank matrices X ∈ Rm×nfrom b = A(X) + z via nonconvex Schatten p-minimization for anyδ4r∈ [3～(1/2))2, 1). Moreover, we determine the range of parameter p with any given δ4r∈ [(3～(1/2))/22, 1). In fact, for any given δ4r∈ [3～(1/2))2, 1), p ∈(0, 2(1- δ4r)] suffices for the stable recovery or exact recovery of all r-rank matrices.
This paper deals with the stochastic 2D Boussinesq equations with partial viscosity. This is a coupled system of Navier-Stokes/Euler equations and the transport equation for temperature under additive noise. Global we...
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This paper deals with the stochastic 2D Boussinesq equations with partial viscosity. This is a coupled system of Navier-Stokes/Euler equations and the transport equation for temperature under additive noise. Global well-posedness result of this system under partial viscosity is proved by using classical energy estimates method.
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