Catalin Turc
Catalin Turc
Associate Professor, Mathematical Sciences
6125 Cullimore Hall (CULM)
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-
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
2024 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 690 - ADV APPLIED MATH III
MATH 332 - INTRO COMPLEX VARIABLES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 690 - ADV APPLIED MATH III
MATH 332 - INTRO COMPLEX VARIABLES
Teaching Interests
Numerical Analysis
Scientific Computing
Waves propagation
PDEs
Parallel computing
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
Scientific Computing
Computational Electromagnetics
PDEs
Journal Article
Turc, Catalin C. (2022). Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems. IMA J Applied Mathematics, 87(4), Pages 647–706.
Turc, Catalin C. (2018). Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. Journal Computational Physics, 376, 411-434.
Turc, Catalin C. (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 C. (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems. IMA Journal Applied Mthematics, 82, 1104–1134.
Turc, Catalin C. (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 C. (2018). Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. Journal Computational Physics, 376, 411-434.
Turc, Catalin C. (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 C. (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems. IMA Journal Applied Mthematics, 82, 1104–1134.
Turc, Catalin C. (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.
SHOW MORE
Turc, Catalin C. (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.
Turc, Catalin C. (2016). Windowed Green Function method for layered-media scattering. SIAM J. Applied Mathematics, 75(5), 1871–1898.
Turc, Catalin C. (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 C. (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 C., & 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 C., & 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 C., & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems. SIAM J. Appl. Math, 75(3 ),
Turc, Catalin C., & 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 C., & Boubendir, Yassine, & France, David Levadoux Onera Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems. Applied Numerical Analysis, 28.
Turc, Catalin C., & 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 C., & 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 C., & 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 C. (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 .
Turc, Catalin C. (2016). Windowed Green Function method for layered-media scattering. SIAM J. Applied Mathematics, 75(5), 1871–1898.
Turc, Catalin C. (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 C. (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 C., & 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 C., & 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 C., & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems. SIAM J. Appl. Math, 75(3 ),
Turc, Catalin C., & 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 C., & Boubendir, Yassine, & France, David Levadoux Onera Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems. Applied Numerical Analysis, 28.
Turc, Catalin C., & 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 C., & 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 C., & 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 C. (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 C. (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 Applications
Conference 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,