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A semi‐discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow

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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/cnm.904openalex-snapshot
Stabilized velocity post‐processings for Darcy flow in heterogeneous porous media
inferredcites →https://doi.org/10.1002/cpa.3160070112openalex-snapshot
Weak solutions of nonlinear hyperbolic equations and their numerical computation
inferredcites →https://doi.org/10.1002/fld.1238openalex-snapshot
A node‐centred finite volume formulation for the solution of two‐phase flows in non‐homogeneous porous media
inferredcites →https://doi.org/10.1002/nag.1067openalex-snapshot
A new computational strategy for solving two‐phase flow in strongly heterogeneous poroelastic media of evolving scales
inferredcites →https://doi.org/10.1006/jcph.1994.1187openalex-snapshot
Weighted Essentially Non-oscillatory Schemes
inferredcites →https://doi.org/10.1006/jcph.1996.0130openalex-snapshot
Efficient Implementation of Weighted ENO Schemes
inferredcites →https://doi.org/10.1006/jcph.2000.6459openalex-snapshot
New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations
inferredcites →https://doi.org/10.1007/978-3-642-75015-1openalex-snapshot
Flow and Transport in Porous Formations
inferredcites →https://doi.org/10.1007/bf01020877openalex-snapshot
A random field model for anomalous diffusion in heterogeneous porous media
inferredcites →https://doi.org/10.1007/bfb0064470openalex-snapshot
A mixed finite element method for 2-nd order elliptic problems
inferredcites →https://doi.org/10.1007/pl00005455openalex-snapshot
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems
inferredcites →https://doi.org/10.1016/0021-9991(79)90145-1openalex-snapshot
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
inferredcites →https://doi.org/10.1016/0021-9991(81)90128-5openalex-snapshot
Approximate Riemann solvers, parameter vectors, and difference schemes
inferredcites →https://doi.org/10.1016/0021-9991(83)90136-5openalex-snapshot
High resolution schemes for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/0021-9991(90)90233-qopenalex-snapshot
Multidimensional upwind methods for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/0021-9991(90)90260-8openalex-snapshot
Non-oscillatory central differencing for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/0045-7825(92)90193-nopenalex-snapshot
Improved accuracy in finite element analysis of Biot's consolidation problem
inferredcites →https://doi.org/10.1016/0098-3004(81)90043-1openalex-snapshot
XRDPLT: a FORTRAN IV program for the graphical representation of x-ray powder diffraction data
inferredcites →https://doi.org/10.1016/0309-1708(80)90068-8openalex-snapshot
Hydraulics of groundwater
inferredcites →https://doi.org/10.1016/j.advwatres.2007.06.003openalex-snapshot
Developing a new form of permeability and Kozeny–Carman constant for homogeneous porous media by means of fractal geometry
inferredcites →https://doi.org/10.1016/j.cma.2007.11.025openalex-snapshot
Unconditionally stable mixed finite element methods for Darcy flow
inferredcites →https://doi.org/10.1016/j.jconhyd.2009.06.001openalex-snapshot
Examining the influence of heterogeneous porosity fields on conservative solute transport
inferredcites →https://doi.org/10.1016/s0022-1694(00)00381-4openalex-snapshot
Water flow and solute mass flux in heterogeneous porous formations with spatially random porosity
inferredcites →https://doi.org/10.1016/s0376-7361(08)x7013-xopenalex-snapshot
Fundamentals of Numerical Reservoir Simulation
inferredcites →https://doi.org/10.1017/cbo9780511791253openalex-snapshot
Finite Volume Methods for Hyperbolic Problems
inferredcites →https://doi.org/10.1023/a:1011551614492openalex-snapshot
A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media
inferredcites →https://doi.org/10.1023/a:1023586101302openalex-snapshot
Crossover from Nonlinearity Controlled to Heterogeneity Controlled Mixing in Two-Phase Porous Media Flows
inferredcites →https://doi.org/10.1029/97wr02170openalex-snapshot
Monte Carlo studies of flow and transport in fractal conductivity fields: Comparison with stochastic perturbation theory
inferredcites →https://doi.org/10.1029/98wr01470openalex-snapshot
Significance of porosity variability to transport in heterogeneous porous media
inferredcites →https://doi.org/10.1029/wr018i004p01215openalex-snapshot
Effects of kriging and inverse modeling on conditional simulation of the Avra Valley Aquifer in southern Arizona
inferredcites →https://doi.org/10.1051/m2an/1983170100171openalex-snapshot
The approximation of the pressure by a mixed method in the simulation of miscible displacement
inferredcites →https://doi.org/10.1090/s0025-5718-98-00913-2openalex-snapshot
Total variation diminishing Runge-Kutta schemes
inferredcites →https://doi.org/10.1137/070710044openalex-snapshot
Scaling Analysis for the Tracer Flow Problem in Self-Similar Permeability Fields
inferredcites →https://doi.org/10.1137/0719063openalex-snapshot
Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
inferredcites →https://doi.org/10.1137/0731017openalex-snapshot
Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions
inferredcites →https://doi.org/10.1137/0733052openalex-snapshot
Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot’s Consolidation Problem
inferredcites →https://doi.org/10.1137/0909073openalex-snapshot
Total-Variation-Diminishing Time Discretizations
inferredcites →https://doi.org/10.1137/1.9780898718942openalex-snapshot
Computational Methods for Multiphase Flows in Porous Media
inferredcites →https://doi.org/10.1137/s1064827500373413openalex-snapshot
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
inferredcites →https://doi.org/10.1590/s0101-82052009000100005openalex-snapshot
Central schemes for porous media flows
inferredcites →https://doi.org/10.4208/cicp.2007.v2.p141openalex-snapshot
On the Reduction of Numerical Dissipation in Central-Upwind Schemes

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1016/j.compgeo.2012.06.010openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2018.06.069openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2025.114406openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.matcom.2017.01.008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.rimni.2015.10.002openalex-snapshot
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Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion
inferred← citeshttps://doi.org/10.2118/163601-msopenalex-snapshot
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inferred← citeshttps://doi.org/10.4236/ojfd.2018.81009openalex-snapshot
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inferred← citeshttps://doi.org/10.47749/t/unicamp.2017.984474openalex-snapshot
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