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A New Semi-Discrete Finite-Volume Active Flux Method for Hyperbolic Conservation Laws

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/fld.4761openalex-snapshot
A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity–based shock‐capturing on cut cells
inferredcites →https://doi.org/10.1007/978-1-4612-0713-9openalex-snapshot
Numerical Approximation of Hyperbolic Systems of Conservation Laws
inferredcites →https://doi.org/10.1007/b79761openalex-snapshot
Riemann Solvers and Numerical Methods for Fluid Dynamics
inferredcites →https://doi.org/10.1007/bfb0096355openalex-snapshot
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
inferredcites →https://doi.org/10.1007/s10915-019-01031-zopenalex-snapshot
The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit
inferredcites →https://doi.org/10.1007/s10915-024-02749-1openalex-snapshot
A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids
inferredcites →https://doi.org/10.1007/s42967-021-00175-wopenalex-snapshot
A Combination of Residual Distribution and the Active Flux Formulations or a New Class of Schemes That Can Combine Several Writings of the Same Hyperbolic Problem: Application to the 1D Euler Equations
inferredcites →https://doi.org/10.1007/s42967-023-00290-wopenalex-snapshot
Efficient Iterative Arbitrary High-Order Methods: an Adaptive Bridge Between Low and High Order
inferredcites →https://doi.org/10.1016/0021-9991(77)90095-xopenalex-snapshot
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
inferredcites →https://doi.org/10.1016/0021-9991(78)90023-2openalex-snapshot
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/0021-9991(84)90142-6openalex-snapshot
The numerical simulation of two-dimensional fluid flow with strong shocks
inferredcites →https://doi.org/10.1016/0021-9991(89)90222-2openalex-snapshot
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
inferredcites →https://doi.org/10.1016/bs.hna.2016.10.002openalex-snapshot
Well-Balanced Schemes and Path-Conservative Numerical Methods
inferredcites →https://doi.org/10.1016/j.amc.2020.125501openalex-snapshot
The Cartesian Grid Active Flux Method: Linear stability and bound preserving limiting
inferredcites →https://doi.org/10.1016/j.compfluid.2014.02.007openalex-snapshot
A high-order hybrid finite difference–finite volume approach with application to inviscid compressible flow problems: A preliminary study
inferredcites →https://doi.org/10.1016/j.jcp.2005.03.014openalex-snapshot
Central schemes on overlapping cells
inferredcites →https://doi.org/10.1016/j.jcp.2008.05.012openalex-snapshot
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
inferredcites →https://doi.org/10.1016/j.jcp.2008.11.025openalex-snapshot
Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells
inferredcites →https://doi.org/10.1016/j.jcp.2009.12.015openalex-snapshot
A comment on the computation of non-conservative products
inferredcites →https://doi.org/10.1016/j.jcp.2011.05.014openalex-snapshot
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws
inferredcites →https://doi.org/10.1016/j.jcp.2014.08.009openalex-snapshot
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
inferredcites →https://doi.org/10.1017/cbo9780511791253openalex-snapshot
Finite Volume Methods for Hyperbolic Problems
inferredcites →https://doi.org/10.1023/a:1025316311633openalex-snapshot
Shock-Vortex Interactions at High Mach Numbers
inferredcites →https://doi.org/10.1051/m2an/2018077openalex-snapshot
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
inferredcites →https://doi.org/10.1051/m2an/2023004openalex-snapshot
Extensions of Active Flux to arbitrary order of accuracy
inferredcites →https://doi.org/10.1088/0951-7715/22/12/001openalex-snapshot
Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws
inferredcites →https://doi.org/10.1090/mcom/3273openalex-snapshot
CWENO: Uniformly accurate reconstructions for balance laws
inferredcites →https://doi.org/10.1137/050628052openalex-snapshot
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
inferredcites →https://doi.org/10.1137/060666974openalex-snapshot
Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
inferredcites →https://doi.org/10.1137/0721062openalex-snapshot
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
inferredcites →https://doi.org/10.1137/1.9781611975109openalex-snapshot
Numerical Methods for Conservation Laws
inferredcites →https://doi.org/10.1137/18m1228232openalex-snapshot
Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
inferredcites →https://doi.org/10.1137/s003614450036757xopenalex-snapshot
Strong Stability-Preserving High-Order Time Discretization Methods
inferredcites →https://doi.org/10.1137/s1064827500373413openalex-snapshot
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
inferredcites →https://doi.org/10.1137/s1064827501392880openalex-snapshot
On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
inferredcites →https://doi.org/10.1142/7498openalex-snapshot
Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations
inferredcites →https://doi.org/10.1142/s0219891604000287openalex-snapshot
GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS
inferredcites →https://doi.org/10.2514/6.2011-3840openalex-snapshot
Active Flux Schemes for Systems
inferredcites →https://doi.org/10.2514/6.2013-2940openalex-snapshot
Multidimensional Active Flux Schemes
inferredcites →https://doi.org/10.33048/semi.2024.21.b12openalex-snapshot
Impact of numerical fluxes on high order semidiscrete WENO--DeC finite volume schemes
inferredcites →https://doi.org/10.4208/cicp.181012.010313aopenalex-snapshot
Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
inferredcites →https://doi.org/10.4208/cicp.2007.v2.p141openalex-snapshot
On the Reduction of Numerical Dissipation in Central-Upwind Schemes
inferredcites →https://doi.org/10.4208/cicp.2007.v2.p933openalex-snapshot
Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

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inferred← citeshttps://doi.org/10.1063/5.0338767openalex-snapshot
Adaptive regularized hybrid physics-informed neural networks for large-gradient problems
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