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Publications
Refereed Journal Articles by Research Area:
- Analytic and Numerical Bifurcation Analysis
[50,
80,
84,
87,
91,
93,
97]
Color key used for article numbers:
- green
= accepted or published.
- magenta
= submitted and in review.
- black
= preprint or report.
Refereed Journal Articles by Number and Year:
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Year
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No.
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Authors, Title. Journal where Appearing, Other Information.
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A99
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A. Behzadan, M. Holst, and P. Rangamani,
On Local Existence of Solutions to Reaction-Diffusion systems on Layered Domains.
Preprint.
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A97
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M. Holst, H. Hu, J. Lu, J. Marzuola, D. Song, and J. Weare,
Symmetry Breaking in Density Functional Theory due to Dirac
Exchange for a Hydrogen Molecule.
Submitted for publication.
[ PDF
| arXiv:math-ph/1902.03497 ]
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A93
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M. Holst, D. Maxwell, and R. Mazzeo,
Conformal Fields and the Structure of the Space of Solutions of the Einstein Constraint Equations.
Submitted for publication.
[ PDF
| arXiv:gr-qc/1711.01042 ]
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A91
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J. Dilts, M. Holst, T. Kozareva, and D. Maxwell,
Numerical Bifurcation Analysis of the Conformal Method.
Submitted for publication.
[ PDF
| arXiv:gr-qc/1710.03201 ]
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A87
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M. Holst and C. Meier,
Non-Uniqueness of Solutions to the Conformal Formulation.
Submitted for publication.
[ PDF
| arXiv:gr-qc/1210.2156 ]
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A84
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P. Rangamani, A. Behzadan, and M. Holst,
Local sensitivity analysis of the "membrane shape equation" derived from the Helfrich energy.
Accepted for publication in Mathematics and Mechanics of Solids.
[ PDF
| Journal
| arXiv:math.NA/2005.12550 ]
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A80
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L.M. Stolerman, M. Getz, S.G. Llewellyn Smith, M. Holst, and P. Rangamani,
Stability Analysis of a Bulk-Surface Reaction Model for Membrane-Protein Clustering.
Accepted for publication in Bull. Math. Biol.
[ PDF
| Journal
| arXiv:math.AP/1908.05214 ]
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A50
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M. Holst and V. Kungurtsev,
Numerical Bifurcation Analysis of Conformal Formulations
of the Einstein Constraints.
Phys. Rev. D.
84 (2011), No. 12, pp. 124038(1)-124038(8) (8 pp).
[ PDF
| Journal
| arXiv:math.NA/1107.0262 ]
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A35
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M. Holst, G. Nagy, and G. Tsogtgerel,
Rough Solutions of the Einstein Constraints
on closed manifolds without near-CMC conditions.
Comm. Math. Phys., Vol. 288 (June 2009), No. 2, pp. 547-613.
[ PDF
| Journal
| arXiv:gr-qc/0712.0798 ]
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