Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator
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Publication:6494199
DOI10.1016/J.CAMWA.2024.03.008MaRDI QIDQ6494199
Lina Cao, Junjun Wang, Dong-Yang Shi, Jiaxuan Pei
Publication date: 29 April 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Cites Work
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- Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations
- Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator
- Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator
- Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
- Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator
- Scaling variables and asymptotic expansions in damped wave equations
- The full approximation accuracy for the stream function-vorticity- pressure method
- Global attractors for damped semilinear wave equations.
- Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
- Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM
- Convergence of a linearized second-order BDF-FEM for nonlinear parabolic interface problems
- A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator
- Superconvergence error estimate of a linearized energy-stable Galerkin scheme for semilinear wave equation
- Superconvergence analysis of a MFEM for BBM equation with a stable scheme
- Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator
- Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach
- Superconvergence analysis of BDF-Galerkin FEM for nonlinear Schrödinger equation
- A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator
- A novel regularized model for the logarithmic Klein-Gordon equation
- Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method
- Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator
- A linearized energy-conservative scheme for two-dimensional nonlinear Schrödinger equation with wave operator
- A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator
- Simple and Efficient ALE Methods with Provable Temporal Accuracy up to Fifth Order for the Stokes Equations on Time Varying Domains
- Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
- On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations
- Finite difference discretization of the cubic Schrödinger equation
- On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
- Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method
- Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM
- Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation
- A second-order BDF compact difference scheme for fractional-order Volterra equation
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