Mark Fels Ph.D.

Publications | Book Chapters

• Fels, M.E, (2002). Differential Invariants,. Encyclopedia of Mathematics

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Journal Articles

Academic Journal

• Fels, M.E, (2017). On the Construction of Simply Connected Solvable Lie Groups. Journal of Lie Theory, 27, 193–215.
• Fels, M.E, Anderson, I.M, (2015). Backlund Transformations for Darboux Integrable Systems: Examples and Applications. Journal of Geometry and Physics, 102, 1-31. doi: doi:10.1016/j.geomphys.2015.12.005
• Fels, M.E, Anderson, I.M, (2014). Backlund Transformations for Darboux Integrable Differential Systems: General Theory. Selecta Mathematica, New Series
• Fels, M.E, Anderson, I.M, (2013). The Cauchy Problem for Darboux Integrable Systems and non-linear D'Alembert Formulas. Symmetry, Integrability and Geometry: Methods and Applications, 9:17, 1-22.
• Anderson, I.M, Fels, M.E, Vassiliou, P., (2009). Superposition Formulas for Darboux Integrable Exterior Differential Systems. Advances in Mathematics, 221:6, 1910-1963.
• Fels, M.E, (2007). Integrating ordinary differential equations with symmetry revisited. Foundations of Computational Math, 7:4, 417-454.
• Fels, M.E, Renner, A.G, (2006). Non-reductive four dimensional homogeneous pseudo-Riemannian Mani- folds,. Canadian Journal of Mathematics, 58:2, 282-311.
• Anderson, I.M, Fels, M.E, (2005). Exterior Differential Systems with Symmetry. Acta Applicandae Mathematicae, 87, 3-31.
• Fels, M.E, Torre, C.G, (2002). The principle of symmetric criticality in general relativity. Classical and Quantum Gravity, 19:4, 641-675.
• Anderson, I.M, Fels, M.E, (2002). Transverse Group Actions on Bundles. Topology and its Applications, 123:3, 443-459.
• Anderson, I.M, Fels, M.E, Torre, C.G, (2000). Group invariant solutions without transversality. Comm. Math. Phys., 212:3, 653-686.
• Anderson, I.M, Fels, M.E, Torre, C.G, (1999). Department of Mathematics Utah State University Logan, Utah 84322.
• Fels, M.E, Olver, P.J, (1999). Moving coframes II. Regularization and theoretical foundations. Acta. Appl. Math., 55, 127-208.
• Anderson, I.M, Fels, M.E, Torre, C.G, (1999). Symmetry Reduction Without Transversality. arXiv preprint math-ph/9910015
• Fels, M.E, Olver, P.J, (1998). Moving coframes I. A practical algorithm. Acta. Appl. Math., 51, 161-213.
• Fels, M.E, Olver, P.J, (1997). On relative invariants. Mathematische Annalen, 308:4, 701-732.
• Fels, M.E, Anderson, I.M, (1997). Symmetry reduction of variational bicomplexes and the principle of sym- metric criticality. Amer. Jour. Math., 119:3, 609-670.
• Fels, M.E, (1996). The Inverse Problem of the Calculus of Variations for Scalar Fourth Order Ordinary Di®erential Equations. Trans. Amer. Math Soc., 348:12, 5007-5029.
• Fels, M.E, (1995). The equivalence problem for systems of second order ordinary di®erential equations. Proc. London Math. Soc., 71:3, 221-240.
• Fels, M.E, (1990). Non-factorizable separable systems and higher-order symmetries of the Dirac operator. N. Kamran, Proc. R. Soc. Lond. A, 428, 229-249.
• Fels, M.E, Kamran, N., (1990). Systemes separables non-factorisables et symetries de dieuxieme ordre de l' operateur de Dirac. C. R. Acad. Sci. Paris, 331:1, 825-830.

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Other

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.