期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (4)
This paper proposes a simple and rigorous Fourier-matching method to study transverse-magnetic-polarized electro-magnetic resonances by a perfectly co......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
Optimal order error estimates of the energy-preserving numerical methods for solving the Hodge wave equation is obtained in this paper. Based on the d......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (2)
We consider in this work the convergence of the random batch method proposed in our previous work [Jin et al., J. Comput. Phys., 400(2020), 108877] fo......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (2)
We prove quasi-optimal L-infinity norm error estimates (up to logarithmic factors) for the solution of Poisson's problem in two dimensional space by t......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (4)
The time discrete scheme of characteristics type is especially effective for convection-dominated diffusion problems. The scheme has been used in vari......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
The Landau-Lifshitz equation has been widely used to describe the dynamics of magnetization in a ferromagnetic material, which is highly nonlinear wit......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
Based on the Hilb type formula between Jacobi polynomials and Bessel functions, optimal decay rates on the Jacobi expansion coefficients are derived b......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a local energy projector......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
A family of arbitrarily high-order fully discrete space-time finite element methods are proposed for the nonlinear Schrodinger equation based on the s......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
Dziuk's surface finite element method (FEM) for mean curvature flow has had a significant impact on the development of parametric and evolving surface......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
In this paper, we propose a novel discontinuous Galerkin (DG) method to control the spurious oscillations when solving the scalar hyperbolic conservat......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (2)
Superresolution of the Lie-Trotter splitting (S-1) and Strang splitting (S-2) is rigorously analyzed for the nonlinear Dirac equation without external......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (2)
Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear collision integral. Ov......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (4)
This paper proposes a fully discrete method called the symplectic discontinuous Galerkin (dG) full discretization for stochastic Maxwell equations dri......
期刊： SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021; 59 (3)
Shape gradients have been widely used in numerical shape gradient descent algorithms for shape optimization. The two types of shape gradients, i.e., t......
