Cover Image

A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Stewart, Dougal, Lee, Nathan, Duru, Kenneth
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Analysis of PDEs Atmospheric and Oceanic Physics 35F31, 35F16, 65M06, 65M12, 65M20, 76F25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
by: Stewart, Dougal, et al.
Published: (2026)

$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
by: Angermann, Lutz, et al.
Published: (2010)

Convergence of a semi-explicit scheme for a one dimensional periodic nonlocal eikonal equation modeling dislocation dynamics
by: Zareef, Diana Al, et al.
Published: (2025)

Temperature-driven turbulence in compressible fluid flows
by: Feireisl, Eduard, et al.
Published: (2026)

On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations
by: Zhang, Shiheng, et al.
Published: (2025)

A separable and asymptotic-preserving dynamical low-rank method for the Vlasov-Poisson-Fokker-Planck system
by: Zhang, Shiheng, et al.
Published: (2026)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$
by: Hou, Thomas Y., et al.
Published: (2022)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$. Part II: the $N$-Dimensional Case
by: Hou, Thomas Y., et al.
Published: (2022)

kh2d-solver: A Python Library for Idealized Two-Dimensional Incompressible Kelvin-Helmholtz Instability
by: Herho, Sandy H. S., et al.
Published: (2025)

Stability and error estimates of a linear and partitioned finite element method approximating nonlinear fluid-structure interactions
by: She, Bangwei, et al.
Published: (2026)

Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
by: Artiano, Marco, et al.
Published: (2025)

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)

A conservative semi-Lagrangian method for oscillation-free computation of advection processes
by: Ida, Masato
Published: (2001)

A Unified-Field Monolithic Fictitious Domain-Finite Element Method for Fluid-Structure-Contact Interactions and Applications to Deterministic Lateral Displacement Problems
by: Wang, Cheng, et al.
Published: (2024)

High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations
by: Xu, Ziyao, et al.
Published: (2024)

Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)

High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
by: Sands, William A., et al.
Published: (2024)

A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
by: Barthwal, Rahul, et al.
Published: (2025)

Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
by: Arun, K. R., et al.
Published: (2024)

Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
by: Ding, Lingyun
Published: (2025)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws
by: Balsara, Dinshaw S., et al.
Published: (2024)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products
by: Balsara, Dinshaw S., et al.
Published: (2024)

Computing exponential of tridiagonal Toeplitz matrices with applications to numerical solution of the heat equation
by: Tatari, Mehdi, et al.
Published: (2020)

LR-WaveHoltz: A Low-Rank Helmholtz Solver
by: Granath, Andreas, et al.
Published: (2025)

Space-time adaptive methods for parabolic evolution equations
by: Wang, Jun, et al.
Published: (2025)

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
by: Kronbichler, Martin, et al.
Published: (2024)

Certified Reduced-Order Surrogates and Stability Margins in Viscous Incompressible Flow and Fluid--Structure Interaction
by: Gokavarapu, Chandrasekhar, 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)

A MUSCL-Hancock scheme for non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2025)

A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
by: Reyes, Jorge, et al.
Published: (2024)

Linear stability of discrete shock profiles for systems of conservation laws
by: Coeuret, Lucas
Published: (2023)

Hybrid-Cubic-Rational Semi-Lagrangian Method with the Optimal Mixing
by: Ida, Masato
Published: (2001)

Parallel-in-Time Iterative Methods for Pricing American Options
by: Gu, Xian-Ming, et al.
Published: (2024)

Convection in a Rapidly Rotating Spherical Shell: Newton's Method Using Implicit Coriolis Integration
by: Sembla, Juan Cruz Gonzalez, et al.
Published: (2025)

An Energy Stable and Well-balanced Scheme for the Ripa System
by: Arun, K. R., et al.
Published: (2024)

An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
by: Arun, K. R., et al.
Published: (2024)

High order numerical schemes for solving fractional powers of elliptic operators
by: Ciegis, Raimondas, et al.
Published: (2019)

Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit
by: Ding, Zhiyan, et al.
Published: (2019)

Nonlinear orbital stability of stationary discrete shock profiles for scalar conservation laws
by: Coeuret, Lucas
Published: (2024)