An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross–Pitaevskii equation with angular momentum rotation

(2020) Jin Cui et al.   COMPUTER PHYSICS COMMUNICATIONS

Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

(2020) Mahmoud A. Zaky et al.   JOURNAL OF SCIENTIFIC COMPUTING

Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

(2020) Yuezheng Gong et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme

(2020) Luis F. Muñoz-Pérez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation

(2020) Mostafa Abbaszadeh et al.   APPLIED NUMERICAL MATHEMATICS

Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space–time

(2020) J.E. Macías-Díaz   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space–time

(2020) Luis F. Muñoz-Pérez et al.   APPLIED MATHEMATICS LETTERS

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

(2020) Ahmed S. Hendy et al.   APPLIED NUMERICAL MATHEMATICS

Dissipation-preserving Galerkin–Legendre spectral methods for two-dimensional fractional nonlinear wave equations

(2020) Nan Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

(2020) Mahmoud A. Zaky et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations

(2020) Dongdong Hu et al.   Communications in Nonlinear Science and Numerical Simulation

Efficient energy‐preserving scheme of the three‐coupled nonlinear Schrödinger equation

(2019) Linghua Kong et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An Effective Dissipation-Preserving Fourth-Order Difference Solver for Fractional-in-Space Nonlinear Wave Equations

(2019) Jianqiang Xie et al.   JOURNAL OF SCIENTIFIC COMPUTING

Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique

(2019) Mostafa Abbaszadeh et al.   APPLIED NUMERICAL MATHEMATICS

On the numerical experiments of the Cauchy problem for semi-linear Klein–Gordon equations in the de Sitter spacetime

(2019) Takuya Tsuchiya et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation

(2019) Yayun Fu et al.   APPLIED MATHEMATICS LETTERS

Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions

(2019) Jiaxiang Cai et al.   APPLIED MATHEMATICS LETTERS

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential

(2018) Karen Yagdjian et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Decoupled local/global energy-preserving schemes for the N-coupled nonlinear Schrödinger equations

(2018) Jiaxiang Cai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-performance implementation of a Runge–Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime

(2018) Andras Balogh et al.   Communications in Nonlinear Science and Numerical Simulation

Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems

(2016) Yu--Wen Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Approximate solutions to the nonlinear Klein-Gordon equation in de Sitter spacetime

(2016) Muhammet Yazici et al.   Open Physics

Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

(2015) Dingwen Deng et al.   APPLIED MATHEMATICAL MODELLING

Higgs boson in the Brans-Dicke theory and the de sitter universe

(2014) Sunnyeo Lee et al.   JOURNAL OF THE KOREAN PHYSICAL SOCIETY

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

(2013) J. L. Bona et al.   MATHEMATICS OF COMPUTATION

On the Global Solutions of the Higgs Boson Equation

(2012) Karen Yagdjian   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

A new class of energy-preserving numerical integration methods

(2008) G R W Quispel et al.   Journal of Physics A-Mathematical and Theoretical