Center for Research in Scientific Computation

Generalized Snell's Law for Weighted Minimal Surface in Heterogeneous Media

Methods and Applications of Analysis, 10(2), 199–214.

A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains

Communications in Mathematical Sciences, 1(1), 180–196.

State Estimation and Tracking Control of Nonlinear Dynamical Systems

In W. Desch, F. Kappel, & K. Kunisch (Eds.), Control and Estimation of Distributed Parameter Systems (pp. 1–24).

A well-posedness Result for a Shear Wave Propagation Model

In Control and Estimation of Distributed Parameter Systems (pp. 25–40).

Beam optics analysis - a 3D finite element charged particle code with adaptive meshing

Third IEEE International Vacuum Electronics Conference (IEEE Cat. No.02EX524). Presented at the Third IEEE International Vacuum Electronics Conference.

SCATTER - a new computer code for modeling reflected electrons from surfaces

Third IEEE International Vacuum Electronics Conference (IEEE Cat. No.02EX524). Presented at the Third IEEE International Vacuum Electronics Conference.

Artificial Boundary Conditions for the Numerical Simulation of Unsteady Electromagnetic Waves

(No. CRSC–TR03–19). https://stsynkov.math.ncsu.edu/publications/a34p.ncsu.pdf

Lacunae-Based Artificial Boundary Conditions for the Numerical Simulation of Unsteady Waves Governed by Vector Models

In G. C. Cohen, E. Heikkola, P. Joly, & P. Neittaanmäki (Eds.), Mathematical and Numerical Aspects of Wave Propagation --- WAVES 2003, The Sixth International Conference, Jyväskylä, Finland, June 30 -- July 4, 2003. Proceedings (pp. 103–108). https://stsynkov.math.ncsu.edu/publications/waves2003p.pdf

Numerical Tools for the Study of Instabilities within the Positive-Differential-Resistance Regions of Tunnelling Devices

Proceedings of 2003 3nd IEEE Conference on Nanotechnology, San Francisco, CA, August 12--14, 2003, (CRSC-TR03-23), 390–393. IEEE.

Solving Nonlinear Equations with Newton's Method

Philadelphia: SIAM.

Globally Convergent Algorithms for Nonsmooth Nonlinear Equations in Computational Fluid Dynamics

J. Comp. Appl. Math., 152, 69–81.

Implicit filtering and nonlinear least squares problems

In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (pp. 71–90). Dordrecht: Kluwer Academic Publishers.

Implicit filtering and nonlinear least squares problems

In E. W. Sachs & R. Tichatschke (Eds.), System Modeling and Optimization XX (No. CRSC-TR01-17; pp. 71–90). Dordrecht: Kluwer Academic Publishers.

Electronic Supplement to ``{O}ptimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems''

Research Directions in Distributed Parameter Systems

(R. C. Smith & M. A. Demetriou, Eds.).

Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves

SIAM Journal on Applied Mathematics, 63(5), 1718–1736.

Artificial boundary conditions for the numerical simulation of unsteady acoustic waves

Journal of Computational Physics, 189(2), 626–650.

A Free Energy Model for Hysteresis in Ferroelectric Materials

Journal of Intelligent Material Systems and Structures, 14(11), 719–739.

A domain wall model for hysteresis in ferroelastic materials

Journal of Intelligent Material Systems and Structures, 14(7), 455–471.

The immersed interface method for elasticity problems with interfaces

Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 10(5), 783–808.