Guanyu Xue | Mathematics | Best Researcher Award

Dr. Guanyu Xue | Mathematics | Best Researcher Awardย 

Dr. Guanyu Xue, Yantai University, China.

Dr. Guanyu Xue is a distinguished researcher in โšก computational mathematics and numerical analysis. With a strong academic background and postdoctoral experience, he specializes in domain decomposition methods, explicit iterative schemes, and finite volume element methods. He has published extensively in high-impact journals, contributing groundbreaking research to the field. As a principal investigator, he has secured ๐Ÿ”ฌ major research grants, advancing innovative mathematical models. His work continues to shape the future of applied mathematics and computational algorithms. ๐Ÿš€

Professional Profile

Scopus Profile

๐ŸŽ“ Early Academic Pursuits

Dr. Guanyu Xue embarked on his academic journey with a solid foundation in mathematics and computational sciences. He pursued his undergraduate studies from HHT AS (ASI REE, FL) between 2007 and 2011, where he developed a strong interest in numerical analysis and computational methods. He then advanced his studies at FRALA, TRO, FIL, earning his master’s degree between 2011 and 2013, further honing his expertise in applied mathematics and algorithmic research. Dr. Xue completed his doctoral studies at TMA, TRB, FE between 2015 and 2018, where he focused on advanced computational techniques, laying the groundwork for his future research in numerical simulations and domain decomposition methods.

๐Ÿ’ผ Professional Endeavors

Dr. Xue’s professional career is marked by significant research contributions and academic engagements. His postdoctoral tenure at JER RAHI Ye Sit aS att from 2020 to 2022 provided him with the opportunity to work on innovative computational methods for solving complex differential equations. Following this, he took on a research position at WARS, REWER E SB, UR from 2018 to 2022, where he collaborated with experts in computational sciences. Currently, Dr. Xue is affiliated with MGA, BSR ESS, BBS, continuing his impactful research and mentoring the next generation of scholars.

๐Ÿ”ฌ Contributions and Research Focus On Mathematicsย 

Dr. Xueโ€™s research primarily revolves around numerical methods for solving differential equations, parallel computing algorithms, and domain decomposition techniques. His work has significantly contributed to computational mathematics, particularly in the development of explicit and implicit schemes for solving convection-dominated diffusion equations and regularized long-wave equations. His studies have advanced numerical simulations by enhancing efficiency and accuracy, benefiting various scientific and engineering applications.

๐ŸŒย Impact and Influence

Dr. Xueโ€™s research has had a profound impact on the field of computational mathematics. His innovative methodologies have been widely adopted by researchers and practitioners dealing with large-scale simulations in physics, engineering, and applied sciences. By optimizing computational techniques, he has contributed to improving the accuracy and efficiency of simulations in areas such as fluid dynamics, heat transfer, and wave propagation. His work has also influenced the design of parallel computing algorithms, making them more accessible and effective for real-world applications.

๐Ÿ… Awards and Honors

Dr. Xueโ€™s outstanding contributions to computational mathematics have been recognized through several academic honors and awards. His innovative research has earned him funding from prestigious organizations, including the National Natural Science Foundation of China (NSFC), where he has successfully led multiple research projects. His work on high-performance computing and numerical algorithms has also been acknowledged with invitations to present at international conferences and contribute to collaborative research initiatives.

๐Ÿ” Legacy and Future Contributions

As a leading researcher in computational mathematics, Dr. Xue continues to push the boundaries of numerical simulations. His future work aims to enhance parallel computing strategies and develop more efficient numerical schemes for multi-dimensional problems. By integrating machine learning with numerical analysis, he envisions a new era of computational techniques that can revolutionize real-world applications in engineering, physics, and climate modeling. His ongoing research is set to inspire future generations of scholars and contribute to the advancement of computational sciences.

Publications Top Notes

“A Samarskii Domain Decomposition Method for Two-Dimensional Convectionโ€“Diffusion Equations”

Authors: Guanyu Xue, Yulong Gao

Journal: Computational and Applied Mathematics

Year: 2022

“The Alternating Group Explicit Iterative Method for the Regularized Long-Wave Equation”

Authors: Anqi Xie, Xiaojia Ye, Guanyu Xue

Journal: Journal of Applied Mathematics and Physics

Year: 2024

“An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgersโ€™ Equation”

Authors: Guanyu Xue, Hui Feng

Journal: Journal of Computational and Theoretical Transport

Year: 2020

“New Parallel Algorithm for Convection-Dominated Diffusion Equation”

Authors: Guanyu Xue, Hui Feng

Journal: East Asian Journal on Applied Mathematics

Year: 2018

 

Sarika | Mathematics | Best Researcher Award

Assist. Prof. Dr. Sarika | Mathematics | Best Researcher Awardย 

Assist. Prof. Dr. Sarika, Netaji Subhas University of Technology, Delhi ,India.

Dr. Sarika Goyal is an Assistant Professor at Netaji Subhas University of Technology, Delhi, with a distinguished career in mathematical research and education. She holds a Ph.D. from IIT Delhi and has expertise in Partial Differential Equations and Variational Methods. A recipient of prestigious awards like the Bharat Vikas Award (2017), she has delivered invited talks at global conferences and mentored Ph.D. scholars. Her contributions significantly impact mathematical sciences and academia. ๐ŸŽ“๐Ÿ“š

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Scopus Profile

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๐ŸŽ“ Early Academic Pursuits

Dr. Sarika Goyal, born on August 8, 1987, exhibited a strong inclination toward mathematics from an early age. She pursued her Bachelor of Arts in Mathematics (Hons.) from Lakshmi Bai College, University of Delhi, securing an impressive 83.88%. Continuing her academic excellence, she completed her Master of Arts in Mathematics from Hindu College, University of Delhi, with a score of 76.62%. Her M.Phil. dissertation, under the guidance of Dr. Ratikanta Panda, focused on “Weierstrass Theorem with Weights”, securing 75.4%.

๐Ÿ’ผ Professional Endeavors

Dr. Goyal’s teaching career began in June 2016 at Bennett University, Greater Noida, where she served as an Assistant Professor until June 2021. She was later promoted to Associate Professor in July 2021 and continued in this role until February 2023. Currently, she is an Assistant Professor at Netaji Subash University of Technology (NSUT), Dwarka, since March 2023.

๐Ÿ”ฌ Contributions and Research Focus

Dr. Goyal has made significant contributions in the field of Mathematical Analysis, specializing in Partial Differential Equations and Non-Local Elliptic Equations. Her Ph.D. research, supervised by Dr. K. Sreenadh, focused on “Elliptic Equations and Non-Local Elliptic Equations with Sign-Changing Nonlinearities”. She also completed a Post-Doctoral Fellowship at IIT Delhi (2015-2016), further refining her expertise in Variational Methods.

๐ŸŒย Impact and Influence

Beyond research, Dr. Goyal has mentored several Ph.D. students, shaping the next generation of mathematicians. Notable students under her guidance include Anu Rani, Tarun Sharma, Diksha Saini, Abhishek, and Vishal, who have pursued successful careers in academia and research. She has also chaired academic sessions at prestigious conferences such as the Ramanujan Mathematical Society Conference (IIT Guwahati, 2023) and the SIAM Conference on Analysis of Partial Differential Equations (California, 2019).

๐Ÿ† Awards and Recognitions

Dr. Goyal has received numerous awards, including:

  • Bharat Vikas Award (2017)
  • 8th Venus International Research Award (2022)
  • NBHM Post-Doctoral Fellowship (2015)
  • CSIR-UGC Junior Research Fellowship (2009)
  • Selected among the top 100 Women Mathematicians worldwide for ICM-2014 (Seoul, South Korea)
  • International Travel Grants from DST-SERB & NBHM to present research in USA, Brazil, Italy, and Abu Dhabi

๐Ÿ’ช Legacy and Future Contributions

Dr. Goyal continues to make a lasting impact in the field of mathematics through her research, teaching, and mentorship. Her dedication to advancing knowledge in Elliptic Equations, Variational Methods, and Partial Differential Equations ensures that she remains at the forefront of mathematical sciences. She aims to further expand her research collaborations, contribute to policy-making in mathematical education, and inspire young scholars to explore the vast realms of mathematics.

Publications Top Notes

๐Ÿ“˜ Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function
๐Ÿ“… 2015 | ๐Ÿ”ข 69 citations
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Advances in Nonlinear Analysis 4 (1), 37-58

๐Ÿ“˜ Nehari manifold for non-local elliptic operator with concaveโ€“convex nonlinearities and sign-changing weight functions
๐Ÿ“… 2015 | ๐Ÿ”ข 62 citations
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Proceedings-Mathematical Sciences 125, 545-558

๐Ÿ“˜ On the Fuฤik spectrum of non-local elliptic operators
๐Ÿ“… 2014 | ๐Ÿ”ข 24 citations
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Nonlinear Differential Equations and Applications NoDEA 21, 567-588

๐Ÿ“˜ n-Kirchhoff type equations with exponential nonlinearities
๐Ÿ“… 2016 | ๐Ÿ”ข 22 citations
โœ๏ธ S Goyal, PK Mishra, K Sreenadh
๐Ÿ“– Revista de la Real Academia de Ciencias Exactas, Fรญsicas y Naturales. Serie โ€ฆ

๐Ÿ“˜ Quasilinear Schrรถdinger Equations With Stein-Weiss Type Convolution and Critical Exponential Nonlinearity
๐Ÿ“… 2024 | ๐Ÿ”ข 12 citations
โœ๏ธ R Biswas, S Goyal, K Sreenadh
๐Ÿ“– The Journal of Geometric Analysis 34 (2), 54

๐Ÿ“˜ Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
๐Ÿ“… 2016 | ๐Ÿ”ข 12 citations
โœ๏ธ PK Mishra, S Goyal, K Sreenadh
๐Ÿ“– arXiv preprint arXiv:1604.00155

๐Ÿ“˜ The Nehari manifold approach for N-Laplace equation with singular and exponential nonlinearities in โ„N
๐Ÿ“… 2015 | ๐Ÿ”ข 12 citations
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Communications in Contemporary Mathematics 17 (03), 1450011

๐Ÿ“˜ Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity
๐Ÿ“… 2017 | ๐Ÿ”ข 10 citations
โœ๏ธ S Goyal
๐Ÿ“– Complex Variables and Elliptic Equations 62 (2), 158-183

๐Ÿ“˜ Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity
๐Ÿ“… 2020 | ๐Ÿ”ข 9 citations
โœ๏ธ S Goyal
๐Ÿ“– Applicable Analysis 99 (16), 2892-2916

๐Ÿ“˜ Multiplicity results for Kirchhoff modified Schrรถdinger equations with Stein-Weiss type critical nonlinearity
๐Ÿ“… 2023 | ๐Ÿ”ข 7 citations
โœ๏ธ R Biswas, S Goyal, K Sreenadh
๐Ÿ“– Differential and Integral Equations 36 (3/4), 247-288

๐Ÿ“˜ Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions
๐Ÿ“… 2022 | ๐Ÿ”ข 7 citations
โœ๏ธ A Rani, S Goyal

๐Ÿ“˜ On the eigenvalues and Fuฤik spectrum of p-fractional Hardy-Sobolev operator with weight function
๐Ÿ“… 2018 | ๐Ÿ”ข 7 citations
โœ๏ธ S Goyal
๐Ÿ“– Applicable Analysis 97 (4), 633-658

๐Ÿ“˜ Fractional elliptic equations with sign-changing and singular nonlinearity
๐Ÿ“… 2016 | ๐Ÿ”ข 7 citations
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Electronic Journal of Differential Equations 2016 (145), 1-23

๐Ÿ“˜ The Nehari manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign-changing weight function
๐Ÿ“… 2015 | ๐Ÿ”ข Not provided
โœ๏ธ S Goyal, K Sreenadh
๐Ÿ“– Advances in Nonlinear Analysis 4 (3), 177-200