Reference health
A conservative implicit multirate method for hyperbolic problems
16/16 checkable references clean · checked 2026-08-10
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.
6 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 16 checked references that resolve
resolves10.1137/0716045
Numerical Solution of Systems of Ordinary Differential Equations Separated into Subsystems
resolves10.1007/s10915-016-0267-9
Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method
resolves10.1007/s10915-015-0017-4
A Linearly Fourth Order Multirate Runge–Kutta Method with Error Control
resolves10.1137/120876034
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
resolves10.1090/S0025-5718-1983-0717689-8
Numerical approximations to nonlinear conservation laws with locally varying time and space grids
resolves10.2151/jmsj1965.60.1_319
A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for the Primitive Meteorological Equations
resolves10.1002/fld.2191
An accurate and efficient semi‐implicit method for section‐averaged free‐surface flow modelling
resolves10.1007/s10543-006-0095-7
A multirate time stepping strategy for stiff ordinary differential equations
resolves10.1002/qj.2544
A semi‐implicit, semi‐Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction
The 6 references without a DOI — listed, not checked
no DOI — not checkedBonaventura, L., Casella, F., Delpopolo Carciopolo, L., Ranade, A.: A self adjusting multirate algorithm based on TR-BDF2 method. MOX Report 08/2018 (2018)
no DOI — not checkedGill, A.: Atmosphere–Ocean dynamics. Elsevier (2016)
no DOI — not checkedHundsdorfer, V. Savcenco W.H., Mozartova, A.: Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws. Technical Report MAS-e0715 (2007)
no DOI — not checkedRice, J.R.: Split Runge-Kutta methods for simultaneous equations. J. Res. Natl. Inst. Stand. Technol. 60, 151 (1960)
no DOI — not checkedSeny, B., Lambrechts, J., Toulorge, T., Legat, V., Remacle, J.F.: An efficient parallel implementation of explicit multirate Runge-Kutta schemes for discontinuous Galerkin computations. J. Comput. Phys. 135, 160–256 (2014)
no DOI — not checkedToro, E.F.: Riemann solvers and numerical methods for fluid dynamics: a practical introduction. Springer Science & Business Media (2013)
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