A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time
DOI10.1016/j.cnsns.2021.105698zbMath1466.65073OpenAlexW3120019393MaRDI QIDQ2656058
Publication date: 10 March 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105698
radially symmetric solutionsfinite-difference schemestability and convergence analysisdissipative numerical methodHiggs boson equation in de Sitter space-time
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with relativity and gravitational theory (35Q75) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Equations of motion in general relativity and gravitational theory (83C10) Numerical solutions to abstract evolution equations (65J08) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- On the transmission of binary bits in discrete Josephson-junction arrays
- An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium
- On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme
- Numerical solution of a nonlinear wave equation in polar coordinates
- Two energy conserving numerical schemes for the sine-Gordon equation
- Numerical solution of the sine-Gordon equation
- Numerical solution of a nonlinear Klein-Gordon equation
- The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential
- Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.
- A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time
- An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
- High-performance implementation of a Runge-Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime
- Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions
- On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the De Sitter spacetime
- Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime
- A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
- Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
- Semilinear Hyperbolic Equations in Curved Spacetime
- Global existence of the self-interacting scalar field in the de Sitter universe
- On the Global Solutions of the Higgs Boson Equation
- Huygens' principle for the Klein-Gordon equation in the de Sitter spacetime
- Symplectic methods for the nonlinear Schrödinger equation
