Reference health
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for Two-Layer Thermal Rotating Shallow Water Equations
38/38 checkable references clean · checked 2026-09-10
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
21 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 38 checked references that resolve
resolves10.4208/cicp.220210.020710a
Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
resolves10.1051/m2an:2008019
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
resolves10.1051/m2an:2001108
A<i>Q</i>-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
resolves10.1016/j.jcp.2008.05.012
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
resolves10.1051/m2an/2018077
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
resolves10.1016/0022-247X(89)90129-7
Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
resolves10.1007/s10915-019-00947-w
A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations
resolves10.1016/j.jcp.2017.12.026
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
resolves10.1007/978-3-319-91545-6_28
Well-Balanced Central-Upwind Schemes for $$2\,\times \,2$$ Systems of Balance Laws
resolves10.1007/s00211-013-0597-6
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
resolves10.1175/1520-0469(1988)045<2961:TGOMVI>2.0.CO;2
Topographic Generation of Mesoscale Vortices in Mixed-Layer Models
resolves10.1016/j.cma.2013.09.022
High order space–time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems
resolves10.1080/03091929.2020.1774876
Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme
resolves10.1137/S1064827500373413
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
resolves10.4310/CMS.2007.v5.n1.a6
A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System
resolves10.1006/jcph.2000.6459
New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations
resolves10.1063/1.3582356
Simplified two-layer models of precipitating atmosphere and their properties
resolves10.1175/1520-0469(1972)029<1025:AMNMOL>2.0.CO;2
A Mesoseale Numerical Model of Lake-Fffect Storms
resolves10.1137/S1064827501392880
On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
resolves10.1016/0079-6611(93)90002-U
A numerical investigation of dynamics, thermodynamics and mixed-layer processes in the Indian Ocean
resolves10.1007/s10915-010-9425-7
On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws
resolves10.1016/0021-9991(90)90260-8
Non-oscillatory central differencing for hyperbolic conservation laws
resolves10.1137/050628052
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
resolves10.1080/03091929308203588
Conservation laws for primitive equations models with inhomogeneous layers
The 21 references without a DOI — listed, not checked
no DOI — not checkedMultilayer shallow-water model with stratification and shear
no DOI — not checkedNonlinear saturation of thermal instabilities
no DOI — not checkedA robust well-balanced scheme for multi-layer shallow water equations
no DOI — not checkedref6
no DOI — not checkedOn the hyperbolicity of two-and three-layer shallow water equations
no DOI — not checkedWell-balancing via flux globalization: Applications to shallow water equations with wet/dry fronts
no DOI — not checkedDefinition and weak stability of nonconservative products
no DOI — not checkedref22
no DOI — not checkedThermal instability in rotating shallow water with horizontal temperature/density gradients
no DOI — not checkedA secondorder well-balanced finite volume scheme for the multilayer shallow water model with variable density
no DOI — not checkedStochastic mesoscale circulation dynamics in the thermal ocean
no DOI — not checkedOn the reduction of numerical dissipation in central-upwind schemes
no DOI — not checkedref30
no DOI — not checkedA well-balanced central-upwind scheme for the thermal rotating shallow water equations
no DOI — not checkedInteraction of tropical cyclone-like vortices with sea-surface temperature anomalies and topography in a simple shallow-water atmospheric model
no DOI — not checkedref39
no DOI — not checkedHyperbolic systems of conservation laws, in The theory of classical and nonclassical shock waves
no DOI — not checkedref46
no DOI — not checkedPath-conservative numerical methods for nonconservative hyperbolic systems
no DOI — not checkedTheoretical considerations on the motion of salt and fresh water
no DOI — not checkedref56
What this badge says. CiteStamped means the CHECKABLE references of this
work were clean at the dated check: each resolved to a known work in a public registry, and none
carried a retraction notice at that time. It says nothing about the quality, findings,
or importance of the work itself, and nothing about references deposited without a DOI.
checked 2026-09-10 — re-checked daily as this page is visited; titles and statuses come from Crossref and DataCite and are not part of the signed record
Embed this badge
Both snippets point at the live badge image and link back to this page. The badge re-renders from the daily check, so an embed never goes stale by more than a day of visits.
<a href="https://citestamp.com/citestamped/10.2139/ssrn.4089079"><img src="https://citestamp.com/citestamped/10.2139/ssrn.4089079/badge.svg" alt="CiteStamped reference-health badge" width="460" height="64"></a>
[](https://citestamp.com/citestamped/10.2139/ssrn.4089079)