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A quintic B-spline finite elements scheme for the KdVB equation

https://doi.org/10.1016/s0045-7825(99)00142-5
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11/11 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.

7 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 11 checked references that resolve
resolves10.1063/1.1664873
Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
resolves10.1063/1.1762081
Unified Shock Profile in a Plasma
resolves10.1090/qam/42889
On a quasi-linear parabolic equation occurring in aerodynamics
resolves10.1017/S0022112070001064
A non-linear equation incorporating damping and dispersion
resolves10.1016/0021-9991(77)90070-5
The Korteweg-de Vries-Burgers equation
resolves10.1016/S0065-2156(08)70100-5
A Mathematical Model Illustrating the Theory of Turbulence
resolves10.1098/rsta.1978.0064
A numerical and theoretical study of certain nonlinear wave phenomena
resolves10.1016/0045-7825(91)90241-W
Simulations of solitons using quadratic spline finite elements
resolves10.1137/1014101
Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
resolves10.1016/0045-7825(92)90088-2
A collocation solution for Burgers' equation using cubic B-spline finite elements
resolves10.1143/JPSJ.39.229
On Stability of Some Finite Difference Schemes for the Korteweg-de Vries Equation
The 7 references without a DOI — listed, not checked
no DOI — not checkedShallow water waves in a viscous fluid
no DOI — not checkedNumerical study of the KdVB equation using B-spline finite elements
no DOI — not checkedThe partial differential equation Ut+Uux=μUxx
no DOI — not checkedP.M. Prenter, Splines, Variational Methods, Wiley, New York, 1975
no DOI — not checkedN.J. Zabusky, A synergetic approach to problem of non-linear dispersive wave propagation and interaction, in: Proceedings of the Symposium on Non linear PDES, Academic Press, New York, 1967
no DOI — not checkedYU.A. Berezin, V.I. Karpman, Nonlinear evolution of disturbances in plasmas and other dispersive media, Soviet Phys. JETP 24 (1967) 1049
no DOI — not checkedAn asymptotic solution to the KdV equation
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.

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