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Dr.L.Jones Tarcius Doss,Ph.D. - Anna University

Dr.L.Jones Tarcius Doss,Ph.D. - Anna University

Dr.L.Jones Tarcius Doss,Ph.D. - Anna University

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Faculty Profile<br />

1. Full name in block letters L. JONES TARCIUS DOSS<br />

2. Contact Information <strong>Dr</strong>.L.<strong>Jones</strong> <strong>Tarcius</strong> <strong>Doss</strong><br />

Assistant Professor<br />

Department of Mathematics<br />

<strong>Anna</strong> <strong>University</strong><br />

Chennai – 600 025<br />

Telephone No<br />

(With STD Code)<br />

E­mail id<br />

044 – 2442 2864 (Home)<br />

044-- 2220 3310 (Work)<br />

9840604831 (Mobile)<br />

jones@annauniv.edu<br />

3. Qualifications B.Sc (Mathematics)<br />

American College, Madurai Kamaraj <strong>University</strong><br />

M.Sc (Mathematics)<br />

American College, Madurai Kamaraj <strong>University</strong><br />

<strong>Ph</strong>.D (Mathematics)<br />

Indian Institute of Technology Bombay<br />

4. Teaching Experience 13 years experience in teaching UG / PG /<strong>Ph</strong>.D level<br />

5. Course Taught<br />

UG Level<br />

PG Level<br />

Advanced Level<br />

Differential Calculus, Integral Calculus<br />

Multivariate Calculus, Vector Calculus,<br />

Complex Analysis, Fourier series and its application to<br />

BVP, Linear Algebra, Numerical Analysis,<br />

Transform techniques, Probability & Statistics.<br />

Numerical Analysis, Numerical solution to PDE by<br />

Finite Difference Methods, Partial differential Equations,<br />

Fourier Transform Techniques, Conformal Mappings,<br />

Calculus of Variations,<br />

Design and Analysis of Algorithms, Data Structures,<br />

Programming in C,<br />

Mathematical Aspects of Finite Element Method<br />

(Text: Brenner and Scott, Springer-Verlag)<br />

Functional analysis and its Application to PDE<br />

(Text: S.Kesavan, New-Age International)<br />

6. Area of Research Specialization Numerical Mathematics of Partial Differential<br />

Equations; Convergence analysis, implementation and<br />

Software development on methods for Partial<br />

Differential Equations.<br />

(Galerkin Finite Element Methods,<br />

Finite Volume Methods, Collocation Methods, and<br />

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7. Research Guidance (2 Students currently doing)<br />

8. Publications (1). A qualocation method for an unidimensional single phase<br />

semilinear Stefan problem. IMA Journal of Numerical<br />

Analysis,Vol.25, No.1, pp.139-159, 2005. (with A.K.Pani).<br />

9. Research Projects NIL<br />

10. Books/Patents NIL<br />

(2) Semidiscrete qualocation method for Stefan problem.<br />

Industrial Mathematics (Ed: Mohan C.Joshi et.al.,) pp.105-120.<br />

2006 Narosa Publication. (Proceeding of International<br />

Conference and Workshop on Industrial Mathematics held during<br />

December 02-09, 2002 at IIT Bombay, Mumbai, India.)<br />

(3) Mixed finite element method for single phase Stefan problem,<br />

Journal of Analysis, Vol.9, 2001, pp.183-194<br />

(4) A Qualocation method for a semilinear second order two-point<br />

boundary value problem, Functional analysis with current<br />

applications in Science,technology and industry, eds: Martin<br />

Brokate et. al., Pitman Research Notes in Mathematics No.<br />

377, 1998, pp. 128-144. (with A.K. Pani)<br />

(5) A priori L^2 error estimates for single phase Stefan like<br />

problem in one space dimension , Numerical Methods for<br />

Partial Differential Equations Vol. 13(4), 1997 pp. 393. (with<br />

S.Paddy & A.K. Pani)<br />

(6) On superconvergence results and negative norm estimate for<br />

An unidimensional single phase Stefan problem, Numerical<br />

Functional Analysis and Optimization, Vol. 16, 1995, pp. 153-<br />

175. (with A.K. Pani)<br />

11. Awards 1. Awarded (DAE) <strong>Dr</strong>.K.S.Krishnan fellowship during <strong>Ph</strong>.D program in<br />

the year 1989 (Sanction No. 11/1/g/89 dt. 3/3/89)<br />

2. Awarded NBHM Post-doctoral fellowship in the year 1995 (Sanction<br />

No.NBHM /PDF/40/15/95 (R\&D. II)/2085)<br />

3. Awarded CSIR Research Associateship in the year 1995 (Sanction No.<br />

9187(182)/95 - EMR - I).<br />

12. Conferences Attended 7 International Conference<br />

13. Abroad Visit<br />

1. Visited ICTP Trieste, Italy to attend,School on Numerical Simulation for PDE: Theory, Algorithms,<br />

and Applications held at International Center for Theoretical <strong>Ph</strong>ysics, Italy, during September 9 - 27,<br />

196 and the "Conference on Recent Advances in Numerical Analysis"}, followed the above school at<br />

ICTP, Italy, September 23-27, 1996.<br />

2. Visited Department of Mathematics, <strong>University</strong> of Tennessee, Knoxville, USA during August 1998-<br />

December 1999.<br />

3. Visited Department of Mathematics and Computer Sciences, Colorado School of Mines, Golden,<br />

USA during January 2000 -December 2000.<br />

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