Catherine Kublik

Contact Information

Catherine Kublik

Assistant Professor

  • Full-Time Faculty

Profile

Dr. Catherine Kublik was born and raised in France. She holds an engineering degree from the Ecole Nationale Supérieure de Techniques Avancées and an M.Sc. in Applied Mathematics from the University of British Columbia. She received her Ph.D. in Applied Mathematics from the University of Michigan and spent two years as a postdoctoral fellow at the University of Texas at Austin. Dr. Kublik joined the department of Mathematics at the University of Dayton in 2013.

Degrees

  • PhD, University of Michigan, 2010
  • Diplôme d'Ingénieur, Ecole Nationale Supérieure de Techniques Avancées, 2005
  • MSc, University of British Columbia, 2005

Research Interests

  • Computational methods
  • Level set methods
  • Boundary integral methods
  • Image processing and computer vision
  • PDE

Selected Publications

Kublik C., Tsai R., "Integration over curves and surfaces defined by the closest point mapping", Research in the Mathematical Sciences 3(1), (2016), pp.1-17

Kublik C, Raffoul Y. "Lyapunov Functionals That Lead To Exponential Stability And Instability In Finite Delay Volterra Difference Equations", Acta Mathematica Vietnamica 41(1) (2016), pp.77-89 (first online in November 2014)

Kublik C., Tanushev N.M., Tsai R. "An Implicit Interface Boundary Integral Method for Poisson's Equation on Arbitrary Domains." J. of Comput. Phys., 247, pp. 279-311 (2013)

Kublik C., Esedoglu S., Fessler J. "Algorithms for Area Preserving Flows." SIAM J. on Scientific Computing, 33 (5), pp. 2382-2401 (2011) 

Kublik C. "Coarsening in high order, discrete, ill-posed diffusion equations." Communications in Mathematical Sciences, 8:4 (2010), pp. 797-834.