High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
Fuente:
arXiv
Saved in:
| Main Authors: | Ranocha, Hendrik, Ketcheson, David I. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)
by: Biswas, Abhijit, et al.
Published: (2024)
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
by: Lampert, Joshua, et al.
Published: (2024)
by: Lampert, Joshua, et al.
Published: (2024)
Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
by: Artiano, Marco, et al.
Published: (2025)
by: Artiano, Marco, et al.
Published: (2025)
The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws
by: Wei, Lei, et al.
Published: (2024)
by: Wei, Lei, et al.
Published: (2024)
The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2023)
by: Chen, Qifan, et al.
Published: (2023)
The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2024)
by: Chen, Qifan, et al.
Published: (2024)
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
by: Wittenstein, Collin, et al.
Published: (2026)
by: Wittenstein, Collin, et al.
Published: (2026)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
by: Petri, Louis, et al.
Published: (2025)
by: Petri, Louis, et al.
Published: (2025)
An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes
by: Birke, Gunnar, et al.
Published: (2026)
by: Birke, Gunnar, et al.
Published: (2026)
Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions
by: Giesselmann, Jan, et al.
Published: (2025)
by: Giesselmann, Jan, et al.
Published: (2025)
High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003)
by: Tadmor, Eitan
Published: (2003)
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
by: Hicken, Jason, et al.
Published: (2024)
by: Hicken, Jason, et al.
Published: (2024)
A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
A high-order nodally bound-preserving and mass-conservative method for linear fourth-order elliptic problems and its applications to nonlinear parabolic equations
by: Shen, Jie, et al.
Published: (2026)
by: Shen, Jie, et al.
Published: (2026)
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)
by: Bermejo, Rodolfo, et al.
Published: (2024)
Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
by: Thein, Ferdinand, et al.
Published: (2025)
by: Thein, Ferdinand, et al.
Published: (2025)
A Positivity-Preserving Relaxation Algorithm
by: Izgin, Thomas, et al.
Published: (2026)
by: Izgin, Thomas, et al.
Published: (2026)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
by: Granath, Andreas, et al.
Published: (2024)
by: Granath, Andreas, et al.
Published: (2024)
Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data
by: Shi, Yanyan, et al.
Published: (2025)
by: Shi, Yanyan, et al.
Published: (2025)
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)
by: Gjesteland, Anita, et al.
Published: (2026)
An efficient predictor-corrector approach with orthogonal spline collocation finite element technique for FitzHugh-Nagumo problem
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
by: Wang, Bin, et al.
Published: (2022)
by: Wang, Bin, et al.
Published: (2022)
Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2020)
by: Ditkowski, Adi, et al.
Published: (2020)
Error Inhibiting Methods for Finite Elements
by: Ditkowski, Adi, et al.
Published: (2024)
by: Ditkowski, Adi, et al.
Published: (2024)
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
by: Montoya, Tristan, et al.
Published: (2021)
by: Montoya, Tristan, et al.
Published: (2021)
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023)
by: Abgrall, Rémi, et al.
Published: (2023)
On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
by: Bercik, Alex, et al.
Published: (2026)
by: Bercik, Alex, et al.
Published: (2026)
Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)
by: Bercik, Alex, et al.
Published: (2025)
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023)
by: Hiemstra, Rene, et al.
Published: (2023)
Weighted finite difference methods for a nonlinear Klein--Gordon equation with high oscillations in space and time
by: Shi, Yanyan, et al.
Published: (2026)
by: Shi, Yanyan, et al.
Published: (2026)
A high order, block finite difference, error inhibiting scheme for the transport equation
by: Ditkowski, Adi, et al.
Published: (2024)
by: Ditkowski, Adi, et al.
Published: (2024)
The Lax-Wendroff theorem for Patankar-type methods applied to hyperbolic conservation laws
by: Bender, Janina, et al.
Published: (2025)
by: Bender, Janina, et al.
Published: (2025)
Similar Items
-
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025) -
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026) -
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026) -
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024) -
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)