Department Of Mathematics - Sharda University

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About Department

The Department of Mathematics has evolved and grown in several directions. In the last five years, this change has been particularly striking in terms of research output, diversity of research pursued and faculty recruitment.The department also contributes substantially towards the Work Integrated Learning Programs of the Institute specifically designed for the professionals working in various industries. The department has strongly motivated faculty with diverse specialization in Mathematical sciences providing a potential for pursuing research in basic sciences as well as in interdisciplinary areas of science, engineering and technology. The department is committed to train the students to make them motivated and dedicated engineers and scientists. The department offers opportunities for the education and research in a wide spectrum of areas in Mathematics such as: Algebra and Analysis, Differential Equations and their applications, Discrete Mathematics and applications, Statistics and Operations Research, Mathematical Modeling etc.To meet the latest demands of industry, the department keeps on periodically updating and revising its teaching pedagogies, research schemes and introduces new courses. The syllabi of both the undergraduate and postgraduate courses are designed to equip students to qualify exams such as GATE, UGC NET / SLET, etc. The Department always imparts innovative and technological leading skills to the students through collusion, navigation and mentoring. The department has a well-equipped Computer Lab with software’s like MATLAB, R, Python.

Vision

To become a globally recognized destination for education in applied mathematics and research.

Mission

To develop mathematical skills in students and make them employable across a wide range of professions and promote interest research.
To develop entrepreneurial skills in students to serve society at large.
To develop skills for the applications of mathematics in the various fields

Awards & Achievements

Department contains faculties who have won gold medals at University level and have won research grants from abroad.
Two faculty members won Best teacher award from the University in 2014-15.
Two faculty members won rewards from PARS-F by scoring high points for their performance.

Awards

Prof. Khursheed Alam, National Life Time Achievement Award, Avishkar achiever Award 2023, Avishkar Foundation, Solapur.
Prof. Khursheed Alam, ACADEMIC EXCELLENCE AWARDS-2021 for “Best Performer in Learning and Development”; received in online International Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 13th Feb. 2021.
Prof. Khursheed Alam, Global ACADEMIC EXCELLENCE AWARDS-2021 for “Best young Scientist”; received in online national Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 31st July, 2021.
Dr. Sweta Srivastav, Academic Excellence Award - Graph Theory 2022, International Multidisciplinary Research Foundation- Niti Aayog, Govt. Of India on 2022-05-14.
Dr. Sangeeta Gupta, Academic Excellence Award – Operation Research 2022, International Multidisciplinary Research Foundation- Niti Aayog, Govt. Of India on 2022-05-14.
Dr. Surya Kant Pal, Best Young Scientist Award 2022, SEMS Welfare Foundation.

Seminars & Workshops

2023

International Conference on Applied and Industrial Mathematics (ICAIM 2023) | 24th-26th March 2023.
Community connect visit to Village Talda Bilaspur, Greater Noida | 15th April 2023.
Webinars on “Ethics, Integrity & Professionalism”, April 13th 2023.
An expert lecture on Intellectual Property Rights | 19th April 2023.
Two-day Workshop on “Data-Driven Decisions: Mastering Google Analytics for Website Success”, 21st-22nd April 2023.

2022

Webinar on Awareness of Trends in Technology under the memorial Lecture Series 2022 in the memory of Prof. A. H. Siddiqi | Department of Mathematics, SBSR | 20th January 2022.
organizing seminar on “Gender Sensitization in day-to-day Life” | 1st April 2022.
Alumni Meet: “Meet and Greet” | 7th April 2022.
Lecture series on “Preparations for competitive exams”, 7th April 2022.
A Farewell Party: “The Vigama” | 11th May 2022.
An outreach program “SIGMATICS” | 20th - 22nd June 2022.
A Webinar on “Ethics, Integrity & Professionalism” | 23rd - 24th June 2022.
An Invited Talk on “Applications of Machine Learning Techniques in Data Science” | 4th July 2022.
An activity on “Elocution Competition and Poster Presentation on Sardar Vallabhbhai Patel” | 31st October 2022.

2021

A Webinar on | “Three days online Skill Development training program for non-teaching staff” on 19th - 21st January 2021.
Cultural Fest on Republic Day | “Be Patriotic “ | 27th January 2021.
A webinar on National Mathematics Day in Memory of Srinivasa Ramanujan | 22 December 2020.
A Webinar on “Secularism, Social Communal Harmony and Tolerance” | on 8th February 2021.
Online National Workshop on |Evolving Trends in Teaching Quality with Outcome based learning Tools| 9th -11th Feb. 2021
a Webinar on “ The Application of vibration & Shock Isolation Systems in industries focusing the mathematical aspects in system design” | 26th November 2021.
A Webinar on “Mathematical Tradition in India” on National Mathematics Day 22nd December 2021.

2020

Online training program; “Excel to Excellent” for non-teaching staff of the University on 30 July 20, 2020.
Webinar on “Human Values & Rights- Gender Equality”| on 29th July 2020.
“Competitive Examination Preparation: Margdarshan 2020” | 24th July 2020.
“Tolerance and Cultural Harmony in Challenging Time”| on 30th July 2020.
A Value added: Short Term Course on “ Mathematical Aptitude and Reasoning Skills”, 21/07/2020.
one day webinar on career development for New Generation in Basic Sciences on July 20, 2020,
a Community Connect visit to Daulatpur, Deendayal Dham and Bisubar village| Mathura, Uttar Pradesh. 23/11/2019.
Glorification of Science Day – Tribute to Prof. A. H.Siddiqi | 28th February 2020.
Online Intramural Symposium on Mathematics and its Applications on 12/05/2020.
UDAAN—A WOMEN EMPOWERMENT| 6th March 2020.
“Research Methodology- Research Design for Conducting research Project”| on 30th July 2020.
Webinar on “Gender Sensitization in day-to-day Life”, 16/09/2020.
Webinar on “Development of Research Skills: Research-based-learning methodology”, 08/09/2020.

2019

Technical Presentation Competition in Mathematics for Post Graduate students on 25th March 2019.
Workshop based on career counseling and hands-on practice session for all final year students on 4th April 2019.
Technical seminar on Mathematical Applications and Modeling in various fields of Science & Technology for all final year UG & PG students on 29th April 2019.
Industrial visit to Imperial Tobacco Company of India Limited (ITC), HARIDWAR, Uttarakhand, 23th-24thOctober, 2019.
National workshop on Mathematical Modeling using Mathematica, 9th - 13th April 2019.
Organized an Invited Lecture on “Differential Equations and Dynamical Systems” by Prof. Ayub Khan, 10th October 2019.
Organized an Invited Lecture on “Fundamental particles and their interactions” by Prof. S.K. Singh on 13th November 2019.
Organizing an Invited Lecture on “On the unconditional stability of finite difference schemes for multi-dimensional
Telegraphic Equations” by Prof. R.K. Mohanty on 22nd November 2019.
Organizing an Invited Lecture on “Industrial And
Financial Mathematics” by Prof. KUM KUM DEWAN on 1st November 2019.
Expository Lecture on “Fractal with real life applications” by “Prof. Rashmi Bharadwaj” on 18/1/2019.
Organizing a Special Lecture on “S. Chandrasekhar: The Joy and Perils of doing Science” By Prof. K. R. Sreenivasan on 26th March 2019.

Infrastructure

Research & Publications

2023

Rita Roy, Manish Mohan Baral, Surya Kant Pal, Santosh Kumar, Subhodeep Mukherjee, Bhaswati Jana, Discussing the present, past, and future of Machine learning techniques in livestock farming: A systematic literature review, IEEE Explore, 179-183, 2023.
M.I. Qureshi , M.S. Baboo , A. Ahmad ,Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments −1, 1 2, , Bulletin of the Karaganda University, 116-123,2023.
Mahajan, Varun, Sandeep Kumar Mogha, and RK Pavan Kumar Pannala. "Evaluation of efficiency and ranking of Indian hotels and restaurants: a bootstrap DEA approach." Benchmarking: An International Journal (2023). ISSN: 1463-5771. https://doi.org/10.1108/BIJ-07-2021-0443
Naeem Ahmad, Mahesh Kumar Jaysawal,* Isha Sangal, Santosh Kumar, and Naeem Ahmad, Mahesh Kumar Jaysawal,* Isha Sangal, Santosh Kumar, and Khursheed Alam, Carbon Tax and Inflationary Conditions under Learning Effects: A Green EOQ Inventory Model, , Macromol. Symp. 2023, 407, 2200117.
Khursheed Alam, Santosh Kumar, Nitendra Kumar, Shri Prakash Pandey, and Surya Kant Pal, , A Nonlinear Hybrid Diffusion Model for Image Denoising Macromol. Symp. 2023, 407, 2100511.
Sangeeta Gupta, Sweta Srivastav ,Materials under Inflation: An Optimal Supply Policy Model, , 407 (1), 2200116,2023

2022

RK Pavan Kumar Pannala, Sandeep Kumar Mogha, Neha Sharma, and Vikas Garg. "Combined Shannon's entropy and DEA: case of Indian hotel and restaurant sector." International Journal of Data Analysis Techniques and Strategies 14, no. 3 (2022): 203-218. ISSN: 1755-8050. https://doi.org/10.1504/IJDATS.2022.128281
Kodavaty, Jagadeeshwar, RK Pavan Kumar Pannala, Megha Singh, Aashirwad Bharti, and Qazi Fahar Ahmad. "Optimizing composition of a drug gel using release kinetics–A new way of approach." Materials Today: Proceedings 66 (2022): 1611-1616. e-ISSN: 2214-7853. https://doi.org/10.1016/j.matpr.2022.05.249
Mohd Idris Qureshi , Junesang Choi , Mohd Shaid Baboo, Certain Identities Involving the General Kampé de Fériet Function and Srivastava’s General Triple Hypergeometric Series, Symmetry 2022, Symmetry 2022, 14, 2502.
Sweta Srivastav ,Signed product cordial labeling of some pan graphs , Materials Today: Proceedings, Volume 57, Part 5, 2022, Pages 2307-2310.
Ramu Dubey, Rajnish Kumar, Khursheed Alam, Lakshmi Narayan Mishra, Vishnu Narayan Mishra: A CLASS OF NEW TYPE UNIFIED NON-DIFFERENTIABLE HIGHER ORDER SYMMETRIC DUALITY THEOREMS OVER ARBITRARY CONES UNDER GENERALIZED ASSUMPTIONS, Yugoslav Journal of Operations Research 2022 Volume 32, Issue 2, Pages: 189-202 , https://doi.org/10.2298/YJOR210218020D.
Praveen Bawa, Neha Bhardwaj, P. N. Agrawal, “Quantitative Voronovskaya type theorems and GBS operators of Kantorovich variant of Lupas- Stancu operators based on Polya distribution”, Mathematical Foundations of Computing, http://dx.doi.org/10.3934/mfc.2022003, 5(4), 269-293,(2022).(ESCI, SCOPUS)

2021

Varun Mohan, Uttam Kumar Sharma, Pervaiz Iqbal and Praveen Kumar, Economic Order Quantity Model With Exponential Demand Rate With Carbon Emission, Webology (ISSN: 1735-188X) Volume 18, Number 6, 2021
S. Kumar & K. Alam: PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity. Computational Methods for Differential Equations. Vol. 9, No. 4, 2021, PP.1100-1108.
Ramu Dubey, Rajnish Kumar, Khursheed Alam, Vishnu Narayan Mishra,∗Generalized G-Wolfe type fractional symmetric duality theorems over arbitrary cones under (G, ρ, θ)-invexity assumptions. Int. J. Nonlinear Anal. Appl. (10) No. 1, 15-26, ISSN: 2008-6822 (electronic). http://www.ijnaa.semnan.ac.ir,(2021).
S. Kumar, N. Kumar, K. Alam, A nonlinear anisotropic diffusion equation for image restoration with forward-backward diffusivities, Recent Advances in Electrical & Electronic Engineering, 14, 1-7, 2021.
S. Kumar, K. Alam, A new class of nonlinear hyperbolic-parabolic model for image denoising with forward-backward diffusivity, Mathematics in Engineering Science and Aerospace, 12(2), 2021.
Sweta Srivastav, Sangeeta Gupta, “On domination number of some new types of graphs”, international journal of natural science, Vol 12 issue 66 pp 32073-32076, June 2021 ISSN: 0976-0977.
Neihpuii H C, Sweta Srivastav, Sangeeta Gupta, “APPLICATION OF GRAPH COLORING IN SURVEILLANCE SYSTEM”, High Technology Letters, vol27, issue 6 pp 706-718, June 2021, ISSN: 1006-6748.
Sangeeta Gupta, Sweta Srivastav, Bhawna Gupta, “An Optimal Policy for Items with Linear Demand Rate, Variable Deterioration Rate Under Shortage and Lead-Time”, Journal of University of Shanghai for Science and Technology, Volume 23, Issue 7 pp 1-9, July 2021 ISSN: 1007-6735.
Sangeeta Gupta, Sweta Srivastav, Varsha Rathi, “Case Study: Application of linear programming for optimizing the product mix problem of linear programming in the Apparel Industry ”, Journal of University of Shanghai for Science and Technology, Volume 23, Issue 7 pp 1091-1098, July 2021, ISSN: 1007-6735.
Mishra, A. (2021): “A computational approach towards the similar growth pattern of tumour cell and microorganism”, Materials Today: Proceedings, Vol. 49, part 8, 2022, pp. 3283-3288. https://doi.org/10.1016/j.matpr.2020.12.1010.
Nidhi Sahni, Priyanka Singh, Mohmmad Shahjade,” Application of conjugate Bailey pair and conjugate WP-Bailey pair to establish summations and q- series identities” South East Asian Journal of Math. & Math Sc. Vol 16, No. 1 (2020) pp. 65-78. Print ISSN no. 0972-7752, Online ISSN no. 2582-0850.
Nidhi Sahni, Dinesh Kumar, F Y Ayant, Vijay Yadav, A transformation involving basic multivariable I-function of Prathima, Journal of Ramanujan Society of Mathematics & Mathematical Sciences Vol 8, No 2 (2021) pp 95 - 108. Print ISSN no. 2319-1023, Online ISSN no. 2582- 5461.
Sirohi, A. and Rai, P.K. (2021). Some r − k class proportional hazard regression models in the presence of collinearity: An evidence from Indian infant mortality, in the journal of Communications in Statistics - Simulation and Computation.
Singh, H.P., Yadav, A. and Pal, S.K. (2021): An exponential approach for estimating population mean using two auxiliary variables in stratified random sampling. Revista Investigación Operacional, 42(4), 456-468.
Pal, S.K. and Pal, A.K. (2021): The impact of increase in COVID-19 cases with exceptional situation to SDG: Good health and well-being. Journal of Statistics and Management Systems, 24(1), 209-228.
Pal, S.K. and Singh, H.P. (2021): Investigation of competent estimation procedure for estimating the finite population mean at current occasion addressing non-response in two occasion successive sampling. Journal of Statistics Theory and Practice, 15(1), 1-31. ISSN No: 1559-8608.
Pal, S.K. and Singh, H.P. (2021): Ratio-type exponential estimator for the population mean at the current occasion in the presence of non-response in successive sampling. Sankhya: The Indian Journal of Statistics, 83-B(2), 371-394. ISSN No: 0976-8394.
S. Kumar, K. Alam, A. Chauhan, Fractional derivative-based nonlinear anisotropic diffusion model for image denoising, SeMA Journal, Springer, 1-10, 2021.
S. Kumar, N. Kumar, K. Alam, A nonlinear anisotropic diffusion equation for image restoration with forward-backward diffusivities, Recent Advances in Electrical & Electronic Engineering, 14(4), 428-434, 2021.
S. Kumar, K. Alam, A new class of nonlinear hyperbolic-parabolic model for image denoising with forward-backward diffusivity, Mathematics in Engineering Science and Aerospace, 12(2), 435-441, 2021.
S. Kumar, K. Alam, PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity, Computational Methods for Differential Equations, 1-9, 2021.
N. Siddiqui, L. Chaudhary, P. Tripathi, N. Kumar, S. Kumar, A comparative analysis of us and Indian laws against phishing attacks, pp. 1-5, Materials Today: Proceedings, 2021.
S. Kumar, N. Kumar, K. Alam, PDE based time dependent model for image restoration with forward-backward diffusivity, Smart Computing Proceedings of the 1st International Conference on Smart Machine Intelligence and Real-Time Computing (Smart Com 2020), 26-27 June 2020, Pauri, Garhwal, Uttarakhand, India, CRC Press Taylor and Francis, 2021.
S. Kumar, K. Alam, N. Kumar, A nonlinear anisotropic diffusion model with forward-backward diﬀusivities for image denoising, Smart Computing Proceedings of the 1st International Conference on Smart Machine Intelligence and Real-Time Computing (Smart Com 2020), 26-27 June 2020, Pauri, Garhwal, Uttarakhand, India, CRC Press Taylor and Francis, 2021.
P. N. Agrawal, Neha Bhardwaj, Praveen Bawa, “Bezier variant of modified α-Bernstein operators”, Rendiconti del CircoloMatematico di Palermo Series 2, (2021), 1-21.
P.N. Agrawal, Neha Bhardwaj, Jitendra Kumar Singh,” Approximation degree of bivariate Kantorovich Stancu operators”, Journal of non-linear Sciences and Applications, 14, (2021), 423-439.
P.N. Agrawal, Ana Maria Acu, Neha Bhardwaj, ”Quantitative Voronovskaya type results for Stancu-Kantorovich type operators”, Journal of Mathematical Inequalities, (2021).
N. Ispir, Naokant Deo, Neha Bhardwaj,” Approximation of Jain Operators by Statistical Convergence”, Thai Journal of Mathematics, 19(4), (2021), 1187-1197.(ESCI, SCOPUS[Elsevier])0.344 impact factor

2020

Sangeeta Gupta, Deepti Gupta, Vishal Chauhanand Mansi Rana, “Case study: Application of linear programming for optimising the product mix problem in M.K. Knitwears Industry”, Journal of Shanghai Jiaotong University, Volume 16, Issue 9, 841-850, September – 2020, ISSN:1007-1172.
Sangeeta Gupta, Sweta Srivastav, Special Relation on energy of subdivision of the graph, ADALYA JOURNAL, Volume 9, Issue 6, 389-392, June 2020, ISSN NO: 1301-2746.
Sangeeta Gupta, SwetaSrivastav, Ragini, “An EOQ Model for Time Dependent Deteriorating Items with Residual Value and Fractionally Time-Varying Backlogging Under Permissible Delay in Payment”, ADALYA JOURNAL, Volume 9, Issue 6, 370-376, June 2020, ISSN NO: 1301-2746.
Sweta Srivastav, Sangeeta Gupta, “Results with MATLAB coding of Middle Graph of Cycle and its related graphs in context of Sum Divisor Cordial”, International Journal of Emerging Trends in Engineering Research, Volume 8. No. 2, 398-401, February 2020, ISSN 2347 – 3983.
Sweta Srivastav, Sangeeta Gupta, Traffic Light Control at Crossroad using Graph theory with MATLAB, International Journal of Advanced Trends in Computer Science and Engineering, Volume 9, No.1, 587-589, January – February 2020, ISSN 2278-3091.

Awards

Prof. Khursheed Alam, National Life Time Achievement Award ,Avishkar achiever Award 2023, Avishkar Foundation, Solapur.
Prof. Khursheed Alam ,ACADEMIC EXCELLENCE AWARDS-2021 for “Best Performer in Learning and Development”; received in online International Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 13th Feb. 2021.
Prof. Khursheed Alam ,Global ACADEMIC EXCELLENCE AWARDS-2021 for “Best young Scientist”; received in online national Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 31st July, 2021.
Dr. Sweta Srivastav, Academic Excellence Award - Graph Theory 2022, International Multidisciplinary Research Foundation- Niti Aayog , Govt. Of india on 2022-05-14.
Dr. Sangeeta Gupta, Academic Excellence Award – Operation Research 2022, International Multidisciplinary Research Foundation- Niti Aayog , Govt. Of india on 2022-05-14.
Dr. Surya Kant Pal , Best Young Scientist Award 2022, SEMS Welfare Foundation.

Patents Published

Prof. B.K. Singh, Personalized Driver Behavior Analysis and Alert Message, Patent No. 202341007193.
Surya kant pal , Smart voting system using block chain technology, Patent No. 202211013685.
Santosh Kumar, A system & method for rail transportation property management using AI & ML, Patent No. 202211025461.
Santosh Kumar, Image registration and recognition of brain images captured using multiple modalities for early detection. Patent No. 202241030853.
Surya Kant Pal ,A system for IoT based biogas leakage detecting device, Patent No. 202221070423.

List of Projects:

Completed External Projects:

: Approximation degree of positive linear operators involving orthogonal polynomials
PI/Co-PI name: Dr. Neha Bhardwaj
Amount of money : 18.3 Lakhs
Duration : 3.5 years

Faculty Achievement

Prof. Khursheed Alam, National Life Time Achievement Award, Avishkar achiever Award 2023, Avishkar Foundation, Solapur.
Prof. Khursheed Alam, ACADEMIC EXCELLENCE AWARDS-2021 for “Best Performer in Learning and Development”; received in online International Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 13th Feb. 2021.
Prof. Khursheed Alam, Global ACADEMIC EXCELLENCE AWARDS-2021 for “Best Young Scientist”; received in online national Conference & Academic Excellence Award on Recent Innovation and Interdisciplinary Research, 31st July 2021.
Dr. Sweta Srivastav, Academic Excellence Award - Graph Theory 2022, International Multidisciplinary Research Foundation- Niti Aayog, Govt. Of India on 2022-05-14.
Dr. Sangeeta Gupta, Academic Excellence Award – Operation Research 2022, International Multidisciplinary Research Foundation- Niti Aayog, Govt. Of India on 2022-05-14.
Dr. Surya Kant Pal, Best Young Scientist Award 2022, SEMS Welfare Foundation.

Placement

S. No.	Student Name	Company Name	Year of the Placement
1.	Kamakshi Tyagi (PG)	Xceedance Consulting India Private Limited	2021-22
2.	Nidhi Mishra (PG)	Xceedance Consulting India Private Limited	2021-22
3.	Nikhil Bansal (UG)	Unimrkt Research	2021-22
4.	Kavya Agarwal (UG)	Infosys	2021-22
5.	Abdulaziz Garba Ahmed (PG)	National Mathematical Centre, Abuja	2021-22
6.	Nazneen Alam(UG)	M.Sc. Data Science VIT Vellore	2021-22
7.	Suyog Khanal(UG)	M.Sc. Data Science VIT Vellore	2021-22
8.	Disha Gupta(UG)	M.Sc(Mathematics) Madan Mohan Malaviya University of Tech.,Gorakhpur	2021-22
9.	Ankita Gangwar(UG)	B.Ed. Rakshpal Bahadur Teachers Training Inst. Affiliated to MJP Rohilkhand UNiversity, Bareilly	2021-22
10.	Nikhil Bansal(UG)	Unimrkt Research	2021-22
11.	Devendra Kumar(UG)	UARJOBS PVT. LTD	2021-22
12.	Mukul Kumar Rai(UG)	UARJOBS PVT. LTD	2021-22
13.	Lam Vijay Babu(PG)	Wipro	2021-22
14.	Slashi Leel (UG)	Wipro	2020-21
15.	Sandini Sonam (UG)	M.Sc. Rajiv Gandhi University	2020-21
16.	Sachin Kumar (UG)	M.Sc. (Mathematics) IIT Roorkee	2020-21
17.	Ameer Hasan Abdullahi	Bayero University Kano, Nigeria	2020-21
18.	Aaryaman Upadhya (UG)	Bravura solutions	2019-20
19.	Akash Bhaskar (UG)	M.Sc. Mathematics BHU, Varanasi	2018-19
20.	Vikas Kumar (UG)	M.Sc. Mathematics Kirorimal College, Delhi University	2018-19
21.	Mohit (UG)	M.Sc. (Statistics) Jamia milia Islamia , New Delhi	2018-19

Facilities and Resources

Multifaceted teaching facilitated classrooms with labs and well equipped library.
Department of Mathematics has a computer lab consisting of various software such as MATLAB, Python, JASP, LaTeX, Scilab, etc.
The A.H. Siddiqi Centre for Advanced Research in Applied Mathematics and Physics (CARAMP)