KublikC. and Tsai R., An extrapolative approach to integration over hyper surfaces in the level set framework. arXiv preprint:1610.09972, 2016

Chen C., Kublik C. and Tsai R., An implicit boundary integral method for interfaces evolving by Mullins-Sekerka dynamics.  arXiv preprint:1604.00285, 2016

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

Kublik C. and 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 on November 2014) [.pdf]

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

Kublik C., Esedoglu S. and Fessler J.A., Algorithms for Area Preserving Flows. SIAM Journal on Scientific Computing. 33 (5), (2011) pp. 2382-2401.  [.pdf]

Kublik C., Coarsening in High Order, Discrete, Ill-posed Diffusion Equations. Communications in Mathematical Sciences.  8:4 (2010), pp. 797-834. [.pdf]