Found 56 Documents (Results 1–56)
A linearly-implicit structure-preserving exponential time differencing scheme for Hamiltonian PDEs. (English) Zbl 07924446
Gradient preserving operator inference: data-driven reduced-order models for equations with gradient structure. (English) Zbl 07867424
Fully decoupled and high-order linearly implicit energy-preserving RK-GSAV methods for the coupled nonlinear wave equation. (English) Zbl 1541.65068
Parallel and energy conservative/dissipative schemes for sine-Gordon and Allen-Cahn equations. (English) Zbl 1539.65087
Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation. (English) Zbl 07834022
Novel high-order mass- and energy-conservative Runge-Kutta integrators for the regularized logarithmic Schrödinger equation. (English) Zbl 07814774
Relaxation exponential Rosenbrock-type methods for oscillatory Hamiltonian systems. (English) Zbl 1537.65194
Reviewer: Jean-François Coulombel (Toulouse)
Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation. (English) Zbl 07766141
An efficient energy-stable pseudospectral method for simulating vortex dynamics of the Ginzburg-Landau-Schrödinger equation. (English) Zbl 07759099
A novel class of explicit energy-preserving splitting methods for charged-particle dynamics. (English) Zbl 07727143
Two efficient exponential energy-preserving schemes for the fractional Klein-Gordon Schrödinger equation. (English) Zbl 1540.65527
Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation. (English) Zbl 07701112
Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations. (English) Zbl 07694959
MSC:
65-XX
Efficient high-order physical property-preserving difference methods for nonlinear fourth-order wave equation with damping. (English) Zbl 1538.65285
Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108
Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. (English) Zbl 07652817
A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations. (English) Zbl 1504.65171
A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems. (English) Zbl 1539.65138
On the meshless quasi-interpolation methods for solving 2D sine-Gordon equations. (English) Zbl 1513.65016
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions. (English) Zbl 1513.65428
Stochastic global momentum-preserving schemes for two-dimensional stochastic partial differential equations. (English) Zbl 1495.65141
Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation. (English) Zbl 1524.65944
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. (English) Zbl 1498.65220
Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation. (English) Zbl 1524.65945
Arbitrary high-order linearly implicit energy-preserving algorithms for Hamiltonian PDEs. (English) Zbl 1496.65235
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. (English) Zbl 1493.65147
Efficient energy-preserving exponential integrators for multi-component Hamiltonian systems. (English) Zbl 1492.65349
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. (English) Zbl 1499.35638
SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations. (English) Zbl 07510616
The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation. (English) Zbl 1504.65173
A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential. (English) Zbl 1499.65382
The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs. (English) Zbl 1480.65365
High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs. (English) Zbl 1484.65249
Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach. (English) Zbl 1540.65413
Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator. (English) Zbl 1501.65031
Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine-Gordon equation. (English) Zbl 07776054
Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07505911
Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. (English) Zbl 1540.65414
Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator. (English) Zbl 1524.65326
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation. (English) Zbl 1475.65068
Efficient and accurate SAV schemes for the generalized Zakharov systems. (English) Zbl 1465.35362
Reviewer: Alain Brillard (Riedisheim)
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. (English) Zbl 1471.65102
A family of effective structure-preserving schemes with second-order accuracy for the undamped sine-Gordon equation. (English) Zbl 1524.65409
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach. (English) Zbl 1540.65410
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. (English) Zbl 1456.65090
Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. (English) Zbl 1452.65165
A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation. (English) Zbl 07507246
A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation. (English) Zbl 1481.65173
MSC:
65M08
Linearly implicit energy-preserving Fourier pseudospectral schemes for the complex modified Korteweg-de Vries equation. (English) Zbl 1468.65169
A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations. (English) Zbl 1448.65105
Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations. (English) Zbl 1442.65220
An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation. (English) Zbl 1440.65087
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