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8 papers · 2 filters
Error analysis of SAV finite element method to phase field crystal model
Liupeng Wang, Yunqing Huang, Kai Jiang
In this paper, we construct and analyze an energy stable scheme by combining the latest developed scalar auxiliary variable (SAV) approach and linear finite element method (FEM) fo…
A Fourth-Order Compact ADI Scheme for Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
Dongdong Hu, Xuenian Cao
In this paper, a second-order backward difference formula (abbr. BDF2) is used to approximate first-order time partial derivative, the Riesz fractional derivatives are approximated…
Complete monotonicity-preserving numerical methods for time fractional ODEs
Lei Li, Dongling Wang
The time fractional ODEs are equivalent to convolutional Volterra integral equations with completely monotone kernels. We therefore introduce the concept of complete monotonicity-p…
Multidimensional Phase Recovery and Interpolative Decomposition Butterfly Factorization
Ze Chen, Juan Zhang, Kenneth L. Ho +1
This paper focuses on the fast evaluation of the matvec for , which is the discretization of a multidimensional oscillatory integral transform $…
High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics
Junming Duan, Huazhong Tang
This paper develops the high-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamic equations. The schemes are built…
An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation
Junming Duan, Huazhong Tang
This paper proposes an efficient ADER (Arbitrary DERivatives in space and time) discontinuous Galerkin (DG) scheme to directly solve the Hamilton-Jacobi equation. Unlike multi-stag…