Approximate solutions of the incompressible Euler equations with no concentrations
Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, and . Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
Approximation by solutions of general boundary value problems for elliptic equations of arbitrary order
Approximation in by solutions of quasi-elliptic equations.
Approximation of homogeneous measures in the 2-Wasserstein metric.
Approximation of solutions of nonlinear heat transfer problems.
Approximation of solutions to evolution integrodifferential equations.
Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Asymptotic behavior for discretizations of a semilinear parabolic equation with a nonlinear boundary condition.
Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition.
Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions
A macroscopic traffic flow model considering the effects of curves, ramps, and adverse weather is proposed, and nonlinear bifurcation theory is used to describe and predict nonlinear traffic phenomena on highways from the perspective of global stability of the traffic system. Firstly, the stability conditions of the model shock wave were investigated using the linear stability analysis method. Then, the long-wave mode at the coarse-grained scale is considered, and the model is analyzed using the...
Biting theorems for jacobians and their applications
Boundary value problems for the Vlasov-Maxwell system.
Cauchy problems with periodic controls.
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.
Compactness methods for quasi-linear evolution-equations
Comparison of exact and approximate causal solutions of a model curved-space wave equation
Compatible discretization of second-order elliptic problems.
Comportements limites des solutions de certains problèmes mixtes pour des équations paraboliques et leurs applications