# Catalin Turc

Catalin Turc

Associate Professor, Mathematical Sciences

6125 Cullimore Hall

About Me

BS in Mathematics A. I. Cuza Iasi, Romania 1997
PhD in Mathematics, U of Minnesota 2005
Postdoctoral Scholar in Applied Computational Math Caltech 2005-2007
Assistant Professor, Mathematics, UNC Charlotte 2007-2008
Assistant Professor, Mathematics, Case Western, 2008-2012
Associate Professor, Mathematics, NJIT, 2012-

Education

Ph.D.; University of Minnesota-Twin Cities; Mathematics; 2005

M.S.; A. I. Cuza University; ; 1999

B.S.; A. I. Cuza University; Mathematics; 1997

M.S.; A. I. Cuza University; ; 1999

B.S.; A. I. Cuza University; Mathematics; 1997

Website

2023 Fall Courses

MATH 790A - DOCT DISSERTATION & RES

MATH 790B - DOCT DISSERTATION & RES

MATH 792B - PRE DOCTORAL RESEARCH

MATH 222 - DIFFERENTIAL EQUATIONS

MATH 790E - DOCTORAL DISSERTATION

MATH 790B - DOCT DISSERTATION & RES

MATH 792B - PRE DOCTORAL RESEARCH

MATH 222 - DIFFERENTIAL EQUATIONS

MATH 790E - DOCTORAL DISSERTATION

Teaching Interests

Numerical Analysis
Scientific Computing
Waves propagation
PDEs
Parallel computing

Past Courses

MATH 111: CALCULUS I

MATH 211: CALCULUS III A

MATH 211: CALCULUS IIIA

MATH 213: CALCULUS III B

MATH 213: CALCULUS IIIB

MATH 222: DIFFERENTIAL EQUATIONS

MATH 331: INTRO PARTIAL DIFF EQ

MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

MATH 332: INTRO COMPLEX VARIABLES

MATH 337: LINEAR ALGEBRA

MATH 614: NUMERICAL METHODS I

MATH 651: METHODS OF APPLIED MATH I

MATH 675: PARTIAL DIFFERENTIAL EQUATIONS

MATH 707: ST: WAVE PROPOGATION II

MATH 722: WAVE PROPAGATION

MATH 211: CALCULUS III A

MATH 211: CALCULUS IIIA

MATH 213: CALCULUS III B

MATH 213: CALCULUS IIIB

MATH 222: DIFFERENTIAL EQUATIONS

MATH 331: INTRO PARTIAL DIFF EQ

MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

MATH 332: INTRO COMPLEX VARIABLES

MATH 337: LINEAR ALGEBRA

MATH 614: NUMERICAL METHODS I

MATH 651: METHODS OF APPLIED MATH I

MATH 675: PARTIAL DIFFERENTIAL EQUATIONS

MATH 707: ST: WAVE PROPOGATION II

MATH 722: WAVE PROPAGATION

Research Interests

Numerical Analysis
Scientific Computing
Computational Electromagnetics
PDEs

Journal Article

Turc, Catalin (2018). Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D.

Turc, Catalin (2017). Multitrace/singletrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers.

Turc, Catalin (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems.

Turc, Catalin (2017). Well-conditioned boundary integral equation formulations and Nystr\"om discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains.

Turc, Catalin (2016). Well-posed boundary integral equation formulations and Nystr\"om discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains.

*Journal Computational Physics*,*376*, 411-434.Turc, Catalin (2017). Multitrace/singletrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers.

*Journal Computational Physics*,*350*, 17.Turc, Catalin (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems.

*IMA Journal Applied Mthematics*,*82*, 1104–1134.Turc, Catalin (2017). Well-conditioned boundary integral equation formulations and Nystr\"om discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains.

*Journal Integral Equations and Applications*,*29*(3), 441--472.Turc, Catalin (2016). Well-posed boundary integral equation formulations and Nystr\"om discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains.

*Journal Integral Equations and Applications*,*28*(3), 395-440. SHOW MORE

Turc, Catalin (2016). Windowed Green Function method for layered-media scattering.

Turc, Catalin (2016). Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space.

Turc, Catalin (2016). High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

Turc, Catalin, & Boubendir, Yassine, & Dominguez, V. (2016). High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

Turc, Catalin, & Boubendir, Yassine, & Bruno, O., & Levadoux, D. (2015). Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems.

Turc, Catalin, & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems.

Turc, Catalin, & Boubendir, Yassine, & Dominguez, Victor High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

Turc, Catalin, & Boubendir, Yassine, & France, David Levadoux Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems.

Turc, Catalin, & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.

Turc, Catalin, & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.

Turc, Catalin, & Boubendir, Yassine (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.

Boubendir, Yassine, & Turc, Catalin (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.

*SIAM J. Applied Mathematics*,*75*(5), 1871–1898.Turc, Catalin (2016). Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space.

*Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences*,*472(2191):20160255*,Turc, Catalin (2016). High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

*IMA Journal Numerical Analysis*,*36*(1), 463-492.Turc, Catalin, & Boubendir, Yassine, & Dominguez, V. (2016). High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

*IMA J. Numer. Anal.*,*36*(1),Turc, Catalin, & Boubendir, Yassine, & Bruno, O., & Levadoux, D. (2015). Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems.

*Appl. Numer. Math.*,*95*,Turc, Catalin, & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems.

*SIAM J. Appl. Math*,*75*(3 ),Turc, Catalin, & Boubendir, Yassine, & Dominguez, Victor High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.

*IMA Journal Numerical Analysis*, 28.Turc, Catalin, & Boubendir, Yassine, & France, David Levadoux Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems.

*Applied Numerical Analysis*, 28.Turc, Catalin, & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.

*Computers & Mathematics with Applications*,*67*(10), 1772--1805.Turc, Catalin, & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.

*Computers & Mathematics with Applications*,*67*(10), 1772--1805.Turc, Catalin, & Boubendir, Yassine (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.

*IMA Journal Numerical Analysis*,*33*, 1176–1225 .Boubendir, Yassine, & Turc, Catalin (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.

*IMA Journal Numerical Analysis*,*33*, 1176–1225 .COLLAPSE

Chapter

Turc, Catalin (2016). High-order Nystr\"om methods for transmission problems for Helmholtz equation,

*Trends in Differential Equations and Applications*. (pp. 261-285). Trends in Differential Equations and ApplicationsConference Proceeding

Comparisons of integral equations formulations for high-frequency two-dimensional Helmholtz transmission problems in domains with corners

Proceedings Wave conference, Karlsruhe, Germany, July 2015, July (3rd Quarter/Summer) 2015

High-order Nystr\"om methods for Helmholtz equation

Proceedings XXIV Congreso de Ecuationes Diferenciales y Aplicaciones, Cadiz, Spain, 2015, 379--386,

Proceedings Wave conference, Karlsruhe, Germany, July 2015, July (3rd Quarter/Summer) 2015

High-order Nystr\"om methods for Helmholtz equation

Proceedings XXIV Congreso de Ecuationes Diferenciales y Aplicaciones, Cadiz, Spain, 2015, 379--386,