,

Professor

Personal Overview



Computer Society of India, India

Indian Society of Information Sciences, India

Indian Mathematical Society

Indian Society of Theoretical and Applied Mechanics (Life Member)

Instrument Society of India

Indian Institute of Science Alumni Association (Life Member)

Indian Society of Information Theory and Applications (ISITA)

Educational Background

B.Sc (Hons. in Physics) Calcutta University, Kolkata 1961
Applied Science Course on Computers Indian Statistical Institute, Kolkata 1965
M.Sc. (Engg.) Indian Institute of Science, Bangalore 1970
Ph.D. (Engg.) Indian Institute of Science, Bangalore 1973

Recognition & Awards

Marquis Who's Who (Sep 2005), IEEE 2008 Outstanding Recognition Award (Feb 15, 2008)

Professional Experience

Professor, Florida Institute of Technology, Melbourne, Florida, (2004-present)

Professor, Indian Institute of Science, Bangalore (1996-2004)

Associate Professor, Indian Institute of Science, Bangalore (1990 - 1996)

Principal Research Scientist, Indian Institute of Science, Bangalore (1979 - 1990)

Assistant professor, Indian Institute of Science, Bangalore (1974-1979)

Scientific Officer, Indian Institute of Science, Bangalore (1970 - 1974)

Technical Assistant, Indian Institute of Science, Bangalore (1965 - 1970)


Positions held abroad (on leave from Indian Institute of Science, Bangalore)

Professor, University of Mauritius, Mauritius, Indian Ocean (1997-1998: one year)

Visiting Professor, Florida Institute of Technology, Melbourne, Florida (1995-1996: one year)

Indo-US Fulbright Fellow (for senior teachers), Florida Institute of Technology, Melbourne, Florida (1991 July - October)

Associate Professor, Al-Fatech University, Tripoli, Libya (1981-1983: 2.5 years)

Lecturer, University of the West Indies, Cave Hill Campus, Barbados (1975-1976: one year)


Administrative/Additional Academic Activities in India & Abroad

In India

Resident-in-charge Computer Centre, I.I.Sc. 1973 – 75

Assistant Warden Men’s_Hostel, I.I.Sc. 1972 – 75

Hon. Warden MenÂ’s Hostel, I.I.Sc. 2001-2003

Coordinator Graduate Programmer Training, I.I.Sc.
1984 – 92

Editor Tri-yearly Report (once in four months), SERC, I.I.Sc.
1984 – 91


Vice-president Sanskrit Sangha, I.I.Sc. 2001-2003

Chairman Parent-Teacher Association, Kendriya Vidyalaya, I.I.Sc.
1990s (1 year)

Chairman Faculty Club, I.I.Sc. 1994 – 96

Abroad

Deputy Director Computer Eng. Dept.,
Al-Fateh Univ., Tripoli
1982 – 83 (1.5 years)

Project Member Organization of Graduate and Post- Graduate Studies, Al-Fateh Univ., Tripoli
1982 – 83 (1.5 years)
Talks/Seminars Given/Research/Teaching/Ph.D. Thesis Evaluation, etc.

In India

I.I.Sc., Bangalore
I.I.T., Bombay
I.I.T.., Delhi
I.I.T., Kharagpur
Indian Statistical Institute, Calcutta
S.N. Bose National Centre for Basic Sciences, Calcutta
Cochin University, Cochin
Gulbarga University, Gulbarga
Karnataka University, Dharward, Karnataka
Kerala University, Thiruvananthapuram
Madurai Kamaraj University, Madurai
Pondicherry Engineering College, Pondicherry
Mepco Schlenk College of Engineering, Sivakasi, Tamil Nadu
Regional Engineering College, Warangal, Andhra Pradesh
Several other universities and Engineering Colleges

Abroad

Florida Tech (Florida Institute of Technology), Melbourne, USA
University of Central Florida (UCF), Orlando, USA
Florida Solar Energy Center (FSEC), UCF, Florida
Embry-Riddle Aeronautical University, Daytona Beach, USA
Al-Fateh University, Tripoli, Libya
University of the West Indies, Cave-Hill Campus, Barbados
University of the West Indies, St. Augustine Campus, Trinidad
University of the West Indies, Mona Campus, Jamaica
University of Mauritius, Reduit, Mauritius

Reviewing Professional Journals/Books

Computer Science and Informatics – Was also a member of the editorial board
IEEE Trans. Computers
Proc. Ind. Acad. Sci. (Math. Sci.)
J. Ind. Inst. Sci.,
CBS Pub., Delhi
Affiliated East West Press, New Delhi
Macmillan & Co.
Sahitya Akademi
National Book Trust (India)
Sterling Publishers

Several other international journals and book publishers

Besides, Dr. Sen edited the SERC (Supercomputer Education and Research Centre) Triyearly Report dur-ing 1984 – 91and was in the executive committee of several professional societies in various capacities

Research Supervision

Supervised several dissertations/projects at the bachelor, masters, and Ph.D. levels in the area of Computational Science, Computer Architecture, VLSI Design in India and abroad.

3.2 Teaching (Course Titles) The following courses  some in India while others abroad  have been taught by Dr. Sen over a period of more than three decades.

3.2.1 At the Undergraduate Level (Credit Courses including Core Courses)

Elements of Statistics, Digital Computer  Basic Course, Computer-oriented Numerical Methods, Intensive Introduction to Computers, Numerical Analysis and Optimization Theory, Introduction to Software Engineering, Introduction to Computer Systems, Introduction to Numerical Analysis, Data Structures and Algorithms, Introduction to Operating Systems, Principles of Computer Programming Using Pascal Language, Applied Numerical Techniques, Introduction to Systems Programming, Computers and Computing (Pascal), Systems Programming I, Numerical Analysis and Algorithms, Introduction to Logic Programming, Calculus III, Calculus II,Probability and Statistics, Numerical Analysis.

3.2.2 At Graduate Level (Credit Courses including Hard Core Courses)

Computer-based Numerical Algorithms, Applied Numerical Techniques with Computer-based Case Stud-ies, Linear and Nonlinear Programming: Computations in Engineering, Introduction to Theory of Computer Science, Numerical Algorithms: Computations in Science and Engineering, Numerical Methods for Parallel Computers, Deterministic Operations Research Models, Stochastic Operations Research Models, Systems Modelling and Simulation, Modelling and Simulation (course contents revised), Computational Methods II (Advanced Course), Applied Statistical Analysis, Linear Algebra, Numerical Analysis.

3.2.3 Additional Teaching

•Noncredit Courses In addition, Dr. Sen has been offering various noncredit courses such as Organization of Computing Systems (both software and hardware), SOS Line-oriented Text Editor, General-purpose Graphics System, File Organization, Architecture of Digital Computer Systems, Mathematical and Statisti-cal Packages (NAG, IMSL, SCICONIC/VM), MATLAB.

•Short-term Courses He has participated in many intensive short-term courses as a teacher/organizer in the area of Computational Science. Some of these courses are sponsored by University Grants Commission (All-India based), All-India Council for Technical Education, and other external organizations..

3.2.4 Other Activities

•Question Paper Setting and Examining Has been setting question papers of several universities, insti-tutes, and engineering colleges in both graduate and undergraduate levels in the areas of computational science (including high-performance computing) and software engineering and software applications, and evaluating the concerned answer papers.

• Ph. D. Theses Evaluation Has been reviewer fo several Ph.D. theses of IIT/other universities

•Delivering Invited and Memorial Lectures Has delivered several invited and memorial lectures in dif-ferent universities in India and abroad (USA, West Indies (Trinidad, Jamaica, Barbados), Tripoli, Mauri-tius)

• Member, Selection Committees for Professorial Cadre Has been a member of several committees of I.I.T./other universities. for selection of faculty at professorial levels

4. Work Done for the Faculty/Senate of I.I.Sc.

• A member of the committee of three professors who evaluated around fifty security staff for promotion during November 1992.

•A member of the committee of professors who have evaluated over one hundred accounts/finance and other category of office staff for promotion during 1993.

•Chairman, Security Staff Evaluation Committee, responsible for evaluating twenty security staff for promotion during November, 1994.

•Secretary, Faculty Club Reading Room and Library, Indian Institute of Science during 1994-95.

•Chairman, Faculty Club, Indian Institute of Science during 1995-97 (Two Years).

•Senate Nominee,has been a member of expert committees to conduct oral examinations for several Ph.D. (Engg.) and M.Sc. (Engg.) students of Electrical Engineering and other departments of the Indian Institute of Science.

•Leader/representative for GATE (Graduate Aptitude Test in Engineering) and I.I.Sc. Admission Tests
over several years.

Current Research

There exists no non-iterative polynomial-time algorithm for solving linear programs (LPs). A new O(n3) algorithm (polynomial-time) which is non-iterative heuristic has been designed and developed. This algorithm which is almost like obtaining a solution of linear equations has been found to be extremely useful in solving most linear programming problems. Even if an optimal solution is not reached, the algorithm does produce one close to it, has an inherent test for optimality, as well as can be used as an excellent preprocessor that needs no artificial variable. An error-free version of this algorithm that gives exact optimal solution for most linear programs has also been developed (Applied Mathematics and Computation, Elsevier Science Inc., New York, Vol. 110, 2000, pp. 53-81). The open problem of either developing a non-iterative polynomial-time deterministic algorithm or proving the nonexistence of such an algorithm is being attempted.

Several methods are available for solving linear (ordinary and partial) differential equations with linear boundary conditions. There are inherent problems in obtaining a best solution and also in ascertaining the quality of the solution. Often this solution could be biased. Under these circumstances, we have obtained a best solution of linear partial/ordinary differential equations in the minimum-norm least-squares sense. This solution is unbiased and has a built-in narrow relative error-bound that assures the quality of the result (Intern J. Computer Math., Gordon and Breach Science Pub., Great Britain, Vol. 74, 2000, pp. 325-343).

An interior-point method called here the polytope-shrinking algorithm has been developed to solve linear programs. It has a very simple way to compute a centre of the polytope and has a simple technique to proceed in the direction of the optimal solution. This algorithm is iterative and appears to behave like solving linear system with a computational complexity O(n3) (Neural, Parallel & Scientific Computations, Dynamic Pub., Atlanta, Vol 4, 1996, 325-340, . To determine the actual order of the computational complexity of this polytope-shrinking algorithm is being attempted.

A concise near-consistent linear system solver, different from a least-squares solution or a minimum-norm least-squares solution, along with a measure of inconsistency and a sharp relative error-bound has been developed. This algorithm is very useful for solving over-determined linear system arising out of linear differential equations (partial/ordinary) and multiple regression models. A system with large inconsistency is detected as an in-built of this algorithm prompting the researcher to relook into the mathematical model of the concerned physical problem. In nature actual physical problem), inconsistency is unknown (J. Computational Methods in Sciences and Engineering, to appear) The solver is being attempted for large sparse and dense systems in a distributed computing environment.

Error-free computation assumes inputs to be exact. This assumption is incorrect and often not acceptable in real-world applications. Thus given the error bounds in the input data, what would be the error bounds in the output results in an error-free environment? A deterministic procedure for the solution of this problem has a complexity which is combinatorial (exponential) and hence useless. However, we have derived a polynomial time estimate for the error-bounds in the outputs when input error-bounds are specified. It may be seen that it is not difficult to derive/know relatively narrow error-bounds for the input data since associated with any measuring device there is a fixed order error (usually of the order of .005%) (Monograph entitled Computational Error and Complexity in Science and Engineering, Elsevier, Amsterdam,2005, pp. 195-205, also, Neural, Parallel & Scientific Computations, Dynamic Pub., Atlanta, 2004,Vol. 12, pp.113-122) .

Solving nonlinear ordinary differential equations associated with two-point boundary conditions and involving singularity and sensitivity in certain regions (ill-conditioned) is numerically error-intensive. A mean-value theorem based fast converging algorithm that uses mathematically derived upper and lower bounds of the solution has been developed. This is useful in circular membrane problems (Computers and Mathematics with Applications, Pergamon Press,Vol. 49, 2005, 1499—1514). Further developed is another algorithm based on interpolation for nonlinear boundary-value problems in circular membrane with known upper and lower solutions. This algorithm also performs well for problems with singularities and permits visualization of the solution graphically. This visualization enables one to comprehend the character of the problem nicely (Computers and Mathematics with Applications, Pergamon Press, 51, 2006, 1021-1046).

Most recently, various quasi-random number and pseudo-random number generators have been compared and attempt has been made to determine the scope of these generators (International Journal of Innovative Computing, Information and Control, Japan, 1, 2005 No. 2, pp. 143-165). Also, discrepancy, complexity, and integration-error based comparison of quasi- and pseudo random number generators have been studied along with visualization; pros and cons of both in solving real world problems have been explored (International Journal of Innovative Computing, Information and Control, Japan, 2, No. 3, 621-651, June 2006) Their scope and usage in solving optimization (linear and nonlinear) problems, traveling salesmanÂ’s problems (through polynomial-time randomized algorithms such as the Simulated Annealing method) are being explored. In addition, an exhaustive study on the importance of 2n in scientific computation and beyond depicting the unique scope of the base-2 number system in the world of numbers has been carried out (Mathematical and Computer Modelling, Elsevier, 43, Issues 5 -6, 658-672, March 2006).

An integer program as a mathematical model has significant real world importance. Its complexity, arithmetic, basic variables, and scope have been revisited with several application oriented tips (Proc. Neural, Parallel and Scientific Computations, 3, 237-242, August 2006). A general integer programming method is exponential. Proposed is an integer programming approach which is polynomial-time and is used for most chemical equation balancing (Mathematical and Computer Modelling, Elsevier, 44, Issues 7-8, 678-691, October 2006; also available online at www.sciencedirect.com). For many intractable (exponential) optimization problems, genetic alrogithms are attractive propositions since these algorithms are polynomial-time and hence tractable. Polynomial-time preprocessors with n dimensional bisection have been suggested for genetic algorithms, which provide an error estimation and are useful in solving real world large constrained as well as unconstrained optimization problems (Proc. Neural, Parallel and Scientific Computations, 3, 243-252, August, 2006).




International (outside India) refereed journals in which Prof. SenÂ’s research papers have been published/accepted for publication are

International Journal of Difference Equations, Communications in Applied Analysis, Memoirs on Differential Equations and Mathematical Physics, Nonlinear World, Applied Mathematics and Computation, J. of Mathematical Analysis and Application, Simulation, Intern. J. of Computer Mathematics, Int. J Systems Sci., IEEE Trans. Computers, Internl. J. Control, Internat. J. Math. & Math. Sci., Matrix & Tensor Qrtly, Acta Applicande Mathematicae, J. Computational and Applied Mathematics, Advances in Modelling and Simulation, Internl. J. Engineering Simulation, Neural, Parallel and Scientific Computations, Nonlinear Analysis, Computers and Mathematics with Applications, Mathematical and Computer Modelling, International Journal of Innovative Computing, Information and Control, J. Computational Methods in Sciences and Engineering, Computers & Mathematics with Applications, Journal Mathematical Inequalities and Applications (one paper recommended for publication in November, 2007), Journal Functional Differential Equations (one paper recommended for publication in December, 2007), Journal of Applied Math and Informatics Computer Mathematics

Indian refereed journals in which Prof. SenÂ’s articles have been published are

Computer Science and Informatics, Proc. Ind. Acad. Sci. (Math. Ser.), Library Science, Maths. Teacher, IEE-IERE Proc., J. Ind. Inst. Sci., J. Instrument Soc. Ind., National Journal of Jyoti Research Academy.

Conference Proceedings

• Computer Society of India − 91 Proceedings of the Annual Convention New Delhi Sep 29 – Oct 02, 1991 entitled Information Technology in Everyday Life ed M.L. Goyal (Tata McGraw-Hill, New Delhi)


•Computer Society of India – 90 Proceedings of the Silver Jubilee Convention Calcutta Oct 31-Nov 03, 1990 entitled Information Technology: Key to Progress ed. S.Bandyopadhyay (Tata McGraw-Hill, New Delhi)
•Computer Society of India − 89 Proceedings of the Annual Convention Bangalore Sep 20-23, 1989 entitled Computer and Information Sciences: Current Trends in Applications eds. V.B. Kaujalgi, K.A. Ranganatha Setty, H. Sivaramakrishnan (Tata McGraw-Hill, New Delhi)

•Proceedings of the Indian Computing Congress Hyderabad Nov 22-24 1990 entitled Computer Systems and Applications: Recent Trends eds. E. balagurusamy and B. Sushila(Tata McGraw-Hill, New Delhi)

•Proceedings of the First National Convention on Applied Numerical Analysis June 23-24 1977.

•Applications and Teaching of Mathematics for Engineers and Scientists 2002 ed M. Saleem Allied Publishers, New Delhi

•Proceedings Indian Society of Theoretical and Applied Mechanics (an International Meet)

• IISc Platinum Jubilee Year (1909-1984) Issue on Research and Development in Physics & Mathematical Sciences, 1984

•Proc. International Conference on Technical Information Services for Developing Countries, 1977

•Recent Developments in Pattern Recognition and Digital Techniques of Electronics and Communication Sciences Unit, Indian Statistical Institute, Calcutta, 1977

•Proceedings of Dynamic Systems & Applications, Dynamic Publishers, Inc., USA
• Proceedings of Neural, Parallel and Scientific Computations, USA.

• ASEE (American Society for Engineering Education) Proceedings

Current Research Publications

Applied Mathematics including Numerical Linear Algebra (including g-inverses, linear programming, and applications) and Deterministic and Stochastic Operations Research

R.P. Agarwal, Y.-H. Kim, and S.K. Sen, Advanced discrete Halanay-type inequalities: Stability of difference equations, to appear in Journal of Inequalities and Applications, December 2008.

R.P. Agarwal, Y.-H. Kim, and S.K. Sen, Multidimensional Gronwall-Bellman-type Integral Inequalities with Applications, Memoirs on Differential Equations and Mathematical Physics, November 2008, to appear.

S.K. Sen, Near-singular/ill-conditioned singular systems: Nclinsolver versus Matlab solvers, Chapter 17 of the book Advances in Mathematical Problems in Engineering Aerospace and Sciences (ed. Dr. Seenith Sivasundaram), Ooh Publishing, United Kingdom, pp. 183-200, 2008. Also includes, as an appendix, the article “Dr. Lak.: The man I know of”.


S.K. Sen, How modeling can attract experimentalists to improve solar cellÂ’s efficiency: Divide-and-conquer approach, Nonlinear Analysis, 10.1016/j.na.2008.10.058, October, 2008.

R.P. Agarwal, Y.-H. Kim, and S.K. Sen, New discrete Halanay inequalities: Stability of difference equations, CAA-28-16, Communications in Applied Analysis 12 (2008), no. 1, 83-90.
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R.P. Agarwal, Y.-H. Kim, and S.K. Sen, New retarded discrete inequalities with applications (ijde-818), , International Journal of Difference Equations, April, 2008, accepted for publication on Sep 12, 2008, to appear.

R.P. Agarwal, Y.-H. Kim, and S.K. Sen, New retarded integral inequalities with applications, Journal of Inequalities and Applications (comm.. in January, 2008), JIA/908784, vol. 2008, Article ID 908784, 15 pages, 2008 (doi: 10.1155/2008/908784).

R.P. Agarwal, Y.-H. Kim, and S.K. Sen, New nonlinear integral inequalities with applications, Journal of Functional Differential Equations (December, 2007), to appear.

S.K. Sen and G.A. Shaykhian, Impact of Computing Power on Computing Scenario, ASEE (American Society for Engineering Education) Proc. Annual Conference & Exposition, Pittsburgh, PA, June 22-25, 2008, AC2008-217, pp. 1-14.

S.K. Sen and G.A. Shaykhian, Matlab programming for numerical iterative dynamics, ASEE (American Society for Engineering Education) Proc. Annual Conference & Exposition, Pittsburgh, PA, June 22-25, 2008,AC2008-1079, pp. 1-39.

S.K. Sen, R.P. Agarwal, and G.A. Shaykhian, Ill- Versus Well-conditioned Singular Linear Systems: Scope of Randomized Algorithms, Journal of Applied Math and Informatics Computer Mathematics, April, 2008, to appear.

R.P. Agarwal, Y.-H. Kim, S.K. Sen, A new refined JordanÂ’s inequality and Its Application, Journal Mathematical Inequalities and Applications, to appear, 2007.

S.K. Sen, R.P. Agarwal, and R. Pavani, Best -digit rational bounds for irrational numbers: Pre- and super-computer era, Mathematical and Computer Modelling, to appear, April, 2008.

S.K. Sen and R.P. Agarwal, Best k-digit rational approximation of irrational numbers: Pre-computer versus computer era, Applied Mathematics and Computation, 199(2008), 770-786, available online at www.sciencedirect.com.
T. Samanta and S.K. Sen, Pseudo- and Quasi-random generators in Heuristics for traveling salesman problem, Mathimatical and Computer Modelling, 2007, to appear.

S.K. Sen and R.P. Agarwal, Golden ratio in science, as random sequence source, its computation, and beyond, Computers and Mathematics with Applications, 56 (2008), 469-498.

S.K. Sen, R.P. Agarwa,l and G.A. Shaykhian, Golden ratio versus pi as random sequence sources for Monte Carlo integration, Mathematical and Computer Modelling (Elsevier), 48, Issues 1-2, July 2008, pp. 161-178. (doi:10.1016/j.mcm.2007.09.011, 2007).

S.K. Sen and Sagar Sen, Linear systems: Relook, concise algorithms, and Matlab programs, National Journal of Jyoti Research Academy, 1, 1, 1-8, 2007.

S.K. Sen and G.A. Shaykhian, Scope of various random number generators in ant system approach for TSP Paper AC2007-458, 2007 ASEE (American Society for Engineering Education) Proc. Annual Conference & Exposition, Hilton Howaii Village, Honolulu, Howaii, June 24-27, 2007, 1-25.

S.K. Sen, Efficiency of solar cells: Scope of modeling in experimental environment, Invited Talk at the Fifth International Conference on Dynamic Systems and Applications (May 30 –June 02, 2007) in Atlanta, Georgia, USA (supported by Florida Solar Energy Center award/grant # 211064), May 30-June 02, 2007, 1-12, Abstract, p. 48.

S.K. Sen, Scope of gradient and genetic algorithms in multivariable function optimization, Invited Talk at the Fifth International Conference on Dynamic Systems and Applications (May 30 –June 02, 2007) in Atlanta, Georgia, USA, May 30-June 02, 2007, Abstract, pp. 48-49.

S.K. Sen and H. Agarwal, Gas flow problem: solving nonlinear BVP with given lower-upper solutions interactively, International Journal of Computer Mahtematics, 83, Nos. 8-9, 663-674, August-September 2006.

S.K. Sen, H. Agarwal, and Sagar Sen, Chemical equation balancing: an integer programming approach, Mathematical and Computer Modelling, 44, Issues 7-8, 678-691, October 2006, Available online at www.sciencedirect.com

S.K. Sen, Revisiting integer program: Complexity, arithmetic, basic variables, and scope, Proceedings of Neural, Parallel and Scientific Computations, 3, 237-242, August 2006.

S.K. Sen and G.A. Shaykhian, Genetic algorithms for optimization: Preprocessing with n dimensional bisection and error estimation, Proceedings of Neural, Parallel and Scientific Computations, 3, 243-252, August 2006.

S.K. Sen, T. Samanta and A. Reese, Quasi- versus pseudo-random generators: discrepancy, complexity and integration-error based comparison, International Journal of Innovative Computing, Information and Control, 2, No. 3, pp. 621-651, June 2006.

S.K. Sen, Yet-to-be solved problems in computational science, to appear, 2005.

S.K. Sen and H. Agarwal, 2n in scientific computation and beyond, Mathematical and Computer Modelling (Elsivier), 43, Issues 5-6, March 2006, 658-672..

S.K. Sen, Open problems in computational linear algebra, accepted for publication in Nonlinear Analysis (Elsevier), 2005 (also presented as an invited talk at the Fourth World Congress of Nonlinear Analysis (WCNA-2004), Orlando, Florida, June 30- July 07, 2004); Published in Nonlinear Analysis 63(2005), Elsevier, 926-934 (Available online at www.sciencedirect.com).
.
V. Lakshmikantham, S.K. Sen, and T. Samanta, Comparing random number generators using Monte Carlo integration, International Journal of Innovative Computing, Information and Control, 1, No. 2, pp. 143-165, June 2005

S.K. Sen and Sagar Sen, O(n3) g-inversion-free noniterative near-consistent linear system solver for minimum-norm least-squares and nonnegative solutions (with Sagar Sen), J. Computational Methods in Sciences and Engineering, 6, Nos. 1,4, pp. 71-85, 2006.

S.K. Sen and T. Samanta, Relative merits of random number generators: indirect approach, Nonlinear Analysis, 63, 2005, e2525-e2532 (also presented at the Fourth World Congress of Nonlinear Analysis (WCNA-2004), Orlando, Florida, June 30- July 07, 2004) e doi:10.1016/j.na.2004.09.007)

S.K. Sen, H. Agarwal, and T. Samanta, Interpolation for nonlinear BVP in circular membrane with known upper and lower solutions, Computers & Mathematics with Applications (Pergamon Press), 51, 2006, 1021-1046.

S.K. Sen and H. Agarwal, Mean value theorem for boundary value problems with given upper and lower solutions, Computers and Mathematics with Applications, 49, 2005, 1499-1514.

V. Lakshmikantham, S.K. Sen, and A. Mohanty, Error in error-free computation for linear system, Neural, Parallel & Scientific Computations, 12, 2004, 113-122.
S.K. Sen, Error, confidence, and cost in engineering computations, Proceedings of Dynamic Systems & Applications, 4, 548-555, 2004.

Selected Publications

BOOKS


1. Computer-based Numerical Algorithms (with E.V. Krishnamurthy), Affiliated East-West Press (affiliated to Van Nostrand), New Delhi, 437 + xxxiii pages, 18 cm 24 cm, 1976 (published with a subsidy under the Indo-American Text-book programme operated by National Book Trust, India) mainly for graduate and research students.

2. Computer and Computing with Fortran 77 (with S.S. Alam), Oxford and IBH, New Delhi, 594 pages, 18 cm 24 cm, 1988 an undergraduate text with over 65 Fortran 77 programs for science and engineering students. The second edition (subsidized by the Government of India through the National Book Trust, India for the benefit of the students) with an extensive revision and an addition of many new materials and examples was published in1996 [ Second Edition, 502 + xii pages, 18 cm 24 cm, 1996].

3. Computing with BASIC: Problem Solving with Structure and Style (S.S. Alam), 219 pages, New Central Book Agency, Calcutta, 1995. An undergraduate text with many program examples from various science and engineering areas.



4. Numerical Algorithms: Computations in Science and Engineering (E.V. Krishnamurthy), Affiliated East-West Press, New Delhi, 629 + xxii pages, 18 cm 24 cm, 1986 (subsidized by Government of India through National Book Trust, India for the benefit of students) for mainly graduate and research students. This book has been reprinted in 1989 and further reprinted with the addition of significant materials on parallel computing several modification and inclusions in 1993, in 1996, in 2000, and in 2001 (Used as a text-book in Florida Tech, USA; also being used in several universities, government institutes as well as laboratories in India and abroad as a reference/textbook).


5. Programming in MATLAB: With Examples from Krishnamurthy and Sens Numerical Algorithms (with E.V. Krishnamurthy), Affiliated East West Press, New Delhi, 116 + xi pages, 18 cm 24 cm, 2003.


6. Introductory Theory of Computer Science (with E.V. Krishnamurthy), Affiliated East Press, New Delhi, 274 + x, pages, 2004.

MONOGRAPH
1. Computational Error and Complexity in Science and Engineering (with V. Lakshmikantham), Elsevier, Amsterdam as Volume 201 under the Series Mathematics in Science and Engineering (edited by C.K. Chui, Stanford University), 260 pages, 229 mm X 152 mm, 2005.


Book in Progress

R.P. Agarwal and S.K. Sen, Irrational Numbers with Matlab: History and Scope in Supercomputing Era (Tentative Title), 2008.

BOOK CHAPTERS

1. Error and Computational Complexity in Engineering, in: Computational Mathematics, Modelling and Algorithms (Chap. 5) ed. J.C. Misra, Narosa Publishing House, New Delhi, 2002, 110-145.

2. Linear Programming: Recent Advances, in: Uncertainty and Optimality:Probability, Statistics, and Operations Research, ed. J.C. Misra, World Scientific Publishing, Singapore, 2002, 411-442.


3. Formalization of Computation in Nature: An Expository Review, in
Mathematics and Information Theory: Recent Topics and Applications,
ed. V. K. Kapoor, Anamaya Publisher, New Delhi, 2004, 1-16.

4.Near-singular/ill-conditioned singular systems: Nclinsolver versus
Matlab solvers (S.K. Sen), Chapter 17 of the book Advances in
Mathematical Problems in Engineering Aerospace and Sciences (ed.
Dr. Seenith Sivasundaram), Ooh Publishing, United Kingdom, pp. 183-
200, 2008. Also includes, as an appendix, the article Dr. Lak.: The man I
know of.