Tag: Mathematics

Ashish Kumar Prasad, Mathematics, Best Researcher Award

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Assoc. Prof Ashish Kumar Prasad: Associate Professor at Amity University, Jharkhand, India

Dr. Ashish Kumar Prasad is a distinguished mathematician and researcher with over 10 years of experience in teaching and scholarly research. He specializes in optimization theory, fractional programming, and variational problems, contributing significantly to both theoretical advancements and practical applications. Currently an Associate Professor at Amity University, Ranchi, he previously served as Dean of Science at Netaji Subhas University. Dr. Prasad holds a Ph.D. from IIT ISM Dhanbad and is known for his commitment to academic excellence and mentoring young researchers.

Online Profiles

ORCID Profile

Dr. Prasad actively maintains professional profiles on academic networking platforms such as Google Scholar and ResearchGate, where his extensive publication record is available for the global scientific community. Through these channels, he engages with fellow researchers, shares ongoing research findings, and participates in discussions related to nonlinear analysis and optimization. Additionally, he regularly attends and presents at national and international conferences, fostering collaborations and knowledge exchange.

Education

Dr. Prasad’s academic journey began with a B.Sc. degree from Ranchi University, followed by an M.Sc. from Vinoba Bhave University. He then advanced his specialization by earning an M.Phil. and a Ph.D. from the prestigious IIT ISM Dhanbad. His doctoral research laid the groundwork for his expertise in interval-valued optimization and fractional programming, equipping him with rigorous training in advanced mathematical tools and research methodologies.

Research Focus

His primary research interests encompass optimality conditions and duality theories for interval-valued and fractional vector optimization problems. Dr. Prasad explores the frontiers of nonsmooth and multiobjective optimization, addressing complex variational and fractional problems with practical relevance in engineering and operational research. His work often integrates advanced mathematical modeling with computational techniques, aiming to solve real-world optimization challenges.

Experience

Over a decade, Dr. Prasad has accumulated extensive experience in academia, teaching courses at undergraduate and postgraduate levels, supervising M.Sc. and Ph.D. students, and coordinating research projects. His academic appointments include significant tenures at institutions such as VIT Vellore, Presidency University, and NIT Jamshedpur. Beyond teaching, he has served in administrative roles including Dean of Science, where he contributed to curriculum development and institutional governance.

Research Timeline

Beginning with his doctoral studies in 2010, Dr. Prasad’s research output has steadily grown, with influential papers published in top-tier SCI, SCIE, and Scopus-indexed journals from 2013 onward. His early work focused on fractional programming and convexity concepts, progressively evolving to include interval-valued optimization and advanced duality theories. His research timeline reflects a consistent dedication to expanding the theoretical foundations and practical applications of mathematical optimization.

Awards & Honors

Dr. Prasad’s academic leadership is exemplified by mentoring distinguished students such as Anant Pratap Singh, a gold medalist and DST Inspire Fellow. His research has been recognized through publications in high-impact journals and invitations to deliver talks at international conferences. These accomplishments underscore his standing in the mathematics research community and his contributions to advancing optimization theory.

Top-Noted Publication

Among his numerous publications, the paper “Optimality conditions for an interval-valued vector problem,” published in Kybernetika (2025), is highly regarded. This work offers novel insights into interval-valued optimization and establishes foundational results that have influenced subsequent studies in the field. The paper’s publication in an SCI-indexed journal with an impact factor of 0.9 highlights its scholarly significance and Dr. Prasad’s expertise in this niche area of mathematical research.

  • Title: 𝓔-LU-optimal solution for nonsmooth semi-infinite interval-valued problems
    Journal: OPSEARCH
    Date: 2025-07-07
    DOI: 10.1007/s12597-025-00971-5
    Contributors: Julie Khatri, Ashish Kumar Prasad

  • Title: 𝓔-LU-pareto solutions for semi-infinite programs with multiple intervals
    Journal: OPSEARCH
    Date: 2025-02-04
    DOI: 10.1007/s12597-025-00917-x
    Contributors: Julie Khatri, Ashish Kumar Prasad

  • Title: Exact L₁ penalty function for nonsmooth multiobjective interval-valued problems
    Journal: Kybernetika
    Date: 2024
    DOI: 10.14736/kyb-2024-5-0652
    EID: 2-s2.0-85215557895
    Contributors: Julie Khatri, Ashish Kumar Prasad

  • Title: Optimality and duality for interval-valued vector problems
    Journal: Filomat
    Date: 2024
    DOI: 10.2298/FIL2426091K
    EID: 2-s2.0-85214260698
    Contributors: Julie Khatri, Ashish Kumar Prasad

  • Title: Duality for a fractional variational formulation using η-approximated method
    Journal: Kybernetika
    Date: 2023
    DOI: 10.14736/kyb-2023-5-0700
    EID: 2-s2.0-85178487225
    Contributors: Sony Khatri, Ashish Kumar Prasad

Gorachand Chakraborty, Mathematics, Best Researcher Award

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Dr. Gorachand Chakraborty: Assistant Professor at Sidho-Kanho-Birsha University, India

Dr. Gorachand Chakraborty is a dedicated mathematician and an Assistant Professor in the Department of Mathematics at Sidho-Kanho-Birsha University, Purulia, West Bengal, India. With a passion for research in complex dynamics and related fields, he has contributed significantly to the understanding of transcendental functions, meromorphic functions, and fractal geometry. Dr. Chakraborty holds a Ph.D. in Mathematics from The University of Kalyani, and his academic pursuits are complemented by a strong teaching career, mentoring both undergraduate and postgraduate students.

Online Profiles

Scopus Profile

Citations: 20 citations from 11 documents
h-index: 3 (as per Scopus)

Education

Dr. Chakraborty’s academic journey began with his M.P. from the West Bengal Board of Secondary Education in 2005, followed by H.S. from WBCHSE in 2007. He then pursued a B.Sc. in Mathematics Honours from J.K. College, Purulia, under Burdwan University, where he developed a deep interest in mathematics. His pursuit of higher education took him to IIT Guwahati, where he obtained his M.Sc. in Mathematics and Computing in 2012. Finally, he earned his Ph.D. in Mathematics from The University of Kalyani in 2021, completing a rigorous dissertation in the areas of complex dynamics and value distribution theory.

Research Focus

Dr. Chakraborty’s research interests revolve around Complex Dynamics, Value Distribution Theory, Fractal Geometry, and Functional Analysis. He has specifically focused on the dynamics of transcendental entire and meromorphic functions, contributing to the understanding of Herman rings, Fatou and Julia sets, and the dynamics of singular values. His work intersects several important mathematical areas and aims to develop a unified theory that connects complex dynamics with value distribution theory and fractals.

Experience

Dr. Chakraborty’s teaching career spans more than a decade, beginning in 2013 as a lecturer at Rajiv Gandhi University of Knowledge Technologies, Hyderabad, where he was involved in early undergraduate teaching. He moved on to serve as an Assistant Professor at Jhargram Raj College (2015), Govt. General Degree College at Manbazar II (2015–2019), and Sidho-Kanho-Birsha University (2019–present), where he continues to teach both undergraduate and postgraduate courses. In addition to his teaching, he has supervised several research scholars and has actively contributed to the academic development of his institution.

Research Timeline

Dr. Chakraborty’s research career has evolved through several key milestones, starting with his early exploration of complex dynamics during his Ph.D. at The University of Kalyani. His doctoral work laid the foundation for subsequent contributions to Herman rings and Baker omitted values. Over the years, he has worked on a variety of projects, such as understanding dynamical systems of transcendental meromorphic functions and investigating the growth properties of solutions to complex linear differential-difference equations. His current research is centered on the Fatou and Julia sets of transcendental functions, supported by a significant grant from the National Board for Higher Mathematics (NBHM).

Awards & Honors

Dr. Chakraborty has been recognized with several awards and honors for his academic excellence. Notably, he received the Best Paper Presentation Award at the 42nd Annual Conference of Orissa Mathematical Society (2015) for his presentation on Baker Omitted Values. He was also awarded for his research contributions in several conferences and workshops. His recognition spans across both national and international platforms, establishing him as a respected figure in the field of mathematics.

Top-Noted Publications

Dr. Chakraborty has published numerous papers in high-impact journals, contributing to the global discourse on complex dynamics and meromorphic functions. Notable publications include:

  1. “Baker Omitted Value, Complex Variables and Elliptic Equations” (2016) – A significant paper published in the SCIE-indexed journal, with an impact factor of 0.846, exploring Baker’s omitted values in complex dynamics. Link

  2. “Herman Rings with Small Periods and Omitted Values”, Acta Mathematica Scientia (2018) – This paper examines the dynamical aspects of transcendental meromorphic functions. Link

  3. “Configurations of Herman Rings in the Complex Plane”, Indian Journal of Mathematics (2021) – An in-depth study of the geometric and dynamical configurations of Herman rings. Link

  4. “On the Level of Qe(f) in Quite Fast Escaping Set and Spider’s Web”, Annali di Matematica Pura ed Applicata (2023) – A paper on transcendental semigroups with applications to complex dynamical systems. Link

Dharmendar Reddy Yanala, Mathematics, Best Researcher Award

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Professor Dharmendar Reddy Yanala: PROFESSOR at ANURAG UNIVERSITY, India

Dr. Yanala Dharmendar Reddy is an accomplished academician and researcher with over 20 years of experience in the field of Applied Mathematics. Currently serving as a Professor in the Department of Mathematics at Anurag University, Hyderabad, he has dedicated his career to the study of Fluid Dynamics, specifically in Magnetohydrodynamics (MHD) and nanofluid heat transfer. His research interests include MHD boundary layers, heat and mass transfer, and the impact of nanoparticles on fluid dynamics. Dr. Reddy is known for his ability to blend theoretical models with numerical techniques to solve complex problems in the realms of geophysics, astrophysics, and industrial applications. His work is not only significant for academia but also for practical applications in energy systems, environmental engineering, and medical technologies. His passion for education and research is matched by his commitment to fostering the next generation of mathematicians and engineers.

Online Profiles

  • Google Scholar: Yanala Dharmendar Reddy – A platform for accessing Dr. Reddy’s scholarly articles and citations.

  • Scopus ID: 57202329139 – Tracking all of Dr. Reddy’s research contributions on Scopus, a global database for academic research.

  • ORCID: 0000-0002-8926-7259 – Ensuring that Dr. Reddy’s research activities are uniquely identified and linked to his academic and professional work.

  • WOS Researcher ID: B-7614-2018 – A profile on Web of Science, further validating Dr. Reddy’s research output and professional standing.

  • Citations & Research Impact

    • Total Citations: 2276

    • h-index: 27

    • i10-index: 54

    These metrics indicate Dr. Reddy’s significant impact on the academic community, with a well-established record of influential publications. His h-index of 27 reflects a consistent contribution to high-quality research, with at least 27 publications that have each been cited 27 or more times. Additionally, an i10-index of 54 highlights his ability to produce scholarly works that have been widely referenced and utilized in ongoing research, further cementing his reputation as a key figure in his field.

Education

Dr. Reddy completed his Ph.D. in Applied Mathematics at Osmania University, Hyderabad, in 2017. His doctoral research focused on the numerical techniques used to study the MHD boundary layer flow of nanofluids over stretching sheets, a topic with profound implications for industrial heat transfer and energy systems. Prior to this, he earned his M.Sc. in Mathematics with distinction from Osmania University (2005) and a B.Sc. in Computer Science (2003), demonstrating early aptitude in both theoretical and computational aspects of mathematics. His academic journey reflects a solid grounding in both pure and applied mathematics, which laid the foundation for his later research endeavors.

Research Focus

Dr. Reddy’s research explores complex fluid dynamics problems, specifically focusing on Magnetohydrodynamics (MHD) and the heat and mass transfer of nanofluids. MHD flow has applications in various fields, such as power generation, astrophysics, and environmental systems. His interest in nanofluids stems from the growing need to enhance heat transfer in industrial and technological applications. Nanofluids are a class of fluids that contain nanoparticles, which significantly improve the thermal properties of base fluids. By studying the interaction between magnetic fields, fluid flow, and nanoparticle behavior, Dr. Reddy aims to propose solutions to challenges in energy efficiency, industrial heat exchangers, and even medical applications like hyperthermia treatment. His work has resulted in both theoretical advancements and practical applications, benefiting a wide range of industries.

Experience

Dr. Reddy’s academic career spans two decades, with significant contributions to teaching, research, and academic administration. He has been a Professor in the Department of Mathematics at Anurag University since December 2024. Previously, he served as an Associate Professor (2020-2024) and Assistant Professor (2005-2020) at Anurag Group of Institutions, where he helped shape the curriculum and research landscape in applied mathematics. Throughout his career, Dr. Reddy has mentored countless undergraduate, postgraduate, and doctoral students. His leadership roles also include serving as the Additional Controller of Examinations at Anurag Group from 2012 to 2017, where he managed examination procedures, ensuring fairness and transparency. Dr. Reddy is dedicated to fostering a research-driven environment in his academic roles, encouraging collaboration and innovation among his students and colleagues.

Research Timeline

  • 2014-2016: Dr. Reddy completed a UGC-sponsored Minor Research Project on the “Impact of Flow Parameters on Heat and Mass Transfer” using numerical techniques. This project laid the groundwork for his future work on MHD flows and nanofluids.

  • 2017-2020: Focused on MHD nanofluid flow, leading to multiple publications on heat transfer enhancement in industrial and biological systems.

  • 2020-Present: Expanded his research to include chemical reactions, radiation effects, and their influence on nanofluid flow. His current projects involve exploring novel fluid systems for applications in energy systems and medical technologies, which continue to garner significant academic and industrial interest.

Awards & Honors

Dr. Reddy’s contributions to academia have been widely recognized. In 2024, he was listed among the Top 2% Scientists Worldwide, an accolade co-published by Elsevier and Stanford University, placing him in an elite group of researchers globally. Additionally, he received the Best Teacher Award from AQER in 2024 for his excellence in teaching and his innovative contributions to the field of mathematics. His involvement in academic organizations includes life memberships in the Indian Science Congress Association and the Andhra Pradesh Society for Mathematical Sciences, where he plays an active role in promoting mathematics research in India. These awards and recognitions underscore his dedication to both research and teaching.

Top-Noted Publication

  1. Chemical reaction and Soret impacts on MHD heat and mass transfer Casson hybrid nanofluid (MoS2+ZnO) flow based on engine oil across a stretching sheet with radiation
    Journal: Chemical Thermodynamics and Thermal Analysis (2025)
    DOI: 10.1016/j.ctta.2025.100163
    Contributors: Radhika, M.; Dharmendar Reddy, Y.

  2. Impact of thermal radiation and viscous dissipation on MHD heat transmission MoS2 and ZnO/engine oil hybrid nanofluid flow along a stretching porous surface
    Journal: Multiscale and Multidisciplinary Modeling, Experiments and Design (2025)
    DOI: 10.1007/s41939-024-00589-y
    Contributors: Mangamma, I.; Reddy, Y.D.

  3. Numerical solutions of steady radiative Maxwell-nanofluid flow toward a stretching sheet in the presence of magnetic field and porous medium
    Journal: Modern Physics Letters B (2025)
    DOI: 10.1142/S0217984924504323
    Contributors: Babu, P.R.; Kumar, M.A.; Raju, R.S.; Reddy, Y.D.

  4. Viscous dissipation and radiation effects on MHD heat transfer copper-water nanofluid flow over an exponentially shrinking surface
    Journal: Multiscale and Multidisciplinary Modeling, Experiments and Design (2025)
    DOI: 10.1007/s41939-024-00708-9
    Contributors: Radhika, M.; Reddy, Y.D.

  5. A numerical study on MHD Maxwell fluid with nanoparticles over a stretching surface: Impacts of thermal radiation, convective boundary condition and induced magnetic field
    Journal: Numerical Heat Transfer, Part A: Applications (2024)
    DOI: 10.1080/10407782.2024.2338259
    Contributors: Venkatesh, N.; Raju, R.S.; Anil Kumar, M.; Dharmendar Reddy, Y.

Mohamed Saad Bouh Elemine Vall, Mathematics, Best Researcher Award

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Doctorate Mohamed Saad Bouh Elemine Vall: Assistant professor at Higher Institute of industrial Engineering, Mauritania

 

Dr. Mohamed Saad Bouh Elemine Vall is a Mauritanian mathematician and Assistant Professor at the Institut Supérieur de Génie Industriel in Nouakchott, Mauritania. His academic work spans theoretical and applied mathematics, with a concentration on nonlinear analysis, partial differential equations, and variational methods. With over ten years of experience in higher education and scientific research, Dr. Vall has built a strong international research portfolio, particularly in the analysis of elliptic and parabolic problems within generalized functional frameworks. He is also deeply engaged in interdisciplinary applications, contributing to both mathematical theory and real-world problem solving through simulations, statistical modeling, and data analysis.

Online Profiles

Google Scholar Profile

Citations and Indices

Since 2020, Dr. Vall has accumulated a total of 99 citations, with 84 of them coming in recent years. His h-index stands at 5, reflecting a solid impact of his publications in the scientific community, while his i10-index is 2, indicating that two of his publications have received at least 10 citations each. These indices highlight the growing relevance and influence of his research in applied mathematics and nonlinear analysis.

Dr. Vall maintains an active online academic presence. His Google Scholar profile showcases his research impact, citation metrics, and publication trends across mathematical journals. Through ResearchGate, he regularly shares his work with the international scientific community, including peer-reviewed articles, conference presentations, and ongoing research updates. These platforms reflect both the breadth and depth of his contributions in mathematics, and serve as a resource for students and collaborators worldwide.

Education

Dr. Vall earned a Ph.D. in Mathematics and Applications from the University Sidi Mohamed Ben Abdellah in Fès, Morocco, where he specialized in nonlinear analysis and functional spaces. He also holds a Master’s degree in Mathematical Sciences with a specialization in Partial Differential Equations, Modeling, and Scientific Computing (EDPMCS). His earlier education includes a Bachelor’s and Master’s degree in Applied Mathematics from the University of Nouakchott, preceded by a DEUG in Mathematics and Physics, and a Baccalaureate in Mathematical Sciences obtained at the Lycée National of Mauritania. This robust academic background underpins his expertise in both pure and applied domains of mathematics.

Research Focus

Dr. Vall’s research lies at the intersection of nonlinear functional analysis, variational methods, and mathematical modeling. He specializes in Musielak-Orlicz and variable exponent Sobolev spaces, developing new existence and multiplicity results for weak and entropy solutions to elliptic and parabolic PDEs. His interests extend to the mathematical study of complex real-world systems, including epidemiological dynamics, econometric time-series models, and data-driven simulations. He is particularly noted for using modern numerical tools like Python, R, and Mathematica to bridge theory and computation, making his research relevant to both pure mathematicians and applied scientists.

Experience

Dr. Vall has taught at various academic institutions including the University of Nouakchott Al Aassriya, the Institut Supérieur de Comptabilité et d’Administration des Entreprises (ISCAE), and the Institut Universitaire Professionnel. He has delivered over 20 unique undergraduate and graduate-level courses covering analysis, topology, statistics, numerical methods, and programming with R, Python, and Octave. His teaching portfolio also includes courses in econometrics, data science, and statistical modeling, tailored for students in engineering, economics, and logistics. In addition to classroom teaching, he has supervised numerous master’s dissertations and co-supervised doctoral theses in both theoretical mathematics and applied modeling.

Research Timeline

Dr. Vall’s research trajectory began in 2013 with work on entropy solutions in Musielak-Orlicz frameworks. From 2015 to 2018, he focused on strongly nonlinear problems involving variable exponent growth, collaborating closely with research groups in Morocco. Between 2019 and 2021, his work evolved to cover Kirchhoff-type elliptic problems and the use of numerical simulations in public health modeling, notably during the COVID-19 pandemic. More recently (2022–2025), his research has delved into non-local operators, anisotropic Laplacians, and hybrid analytical-computational approaches, with publications in journals such as Nonlinear Dynamics, Complex Variables and Elliptic Equations, and Boundary Value Problems.

Awards & Honors

In recognition of his academic excellence, Dr. Vall received a Certificate of Excellence for the 2013 cohort of the Master’s program in Fès. He has been selected to participate in multiple advanced mathematics schools organized by CIMPA, including programs on waste management modeling and inverse problems in geometry. He has presented research at major conferences, including the International Conference on Differential Geometry and the Spring School on Nonlinear PDEs. His contributions to mathematical research and teaching have earned him respect in both national and international academic communities.

Top-Noted Publication

One of Dr. Vall’s most distinguished publications is the 2025 article titled:
A. Ahmed, M. S. B. Elemine Vall, Weak solutions in anisotropic (α→(z), β→(z))-Laplacian Kirchhoff models, published in Complex Variables and Elliptic Equations.
This work addresses a class of generalized Kirchhoff equations involving anisotropic operators and variable growth conditions, contributing novel theoretical results and extending the frontier of nonlinear elliptic theory. The paper has received recognition for its methodological depth and relevance in advanced PDE analysis.

  • Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data

    • Authors: MSB Elemine Vall, A Ahmed, A Touzani, A Benkirane

    • Journal: Archivum Mathematicum

    • Volume: 56 (2), Pages 65-106

    • Year: 2020

  • Entropy solutions for nonlinear parabolic problems with noncoercivity term in divergence form in generalized Musielak-Orlicz spaces

    • Authors: A Talha, A Benkirane, MSB Elemine Vall

    • Journal: Nonlinear Studies

    • Volume: 25 (1)

    • Year: 2018

  • Fractional double-phase problems with Kirchhoff-type operators and variable exponents

    • Authors: M El Khayr Boukraa, MSB Elemine Vall

    • Journal: Journal of Elliptic and Parabolic Equations

    • Year: 2025

  • Weak solutions in anisotropic (α→(z), β→(z))-Laplacian Kirchhoff models

    • Authors: MSB Elemine Vall, A Ahmed

    • Journal: Complex Variables and Elliptic Equations

    • Year: 2025

  • Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions

    • Authors: A Ahmed, MSB Elemine Vall, S Boulaaras

    • Journal: Boundary Value Problems

    • Volume: 2025 (1), Pages 50

    • Year: 2025

Nicholas Mueller, Mathematics, Best Researcher Award

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Doctorate Nicholas Mueller: PhD student at Monash University, Australia

Nicholas Mueller is a dedicated mathematician and engineer who combines a strong theoretical foundation with a practical focus on real-world applications. His work spans multiple disciplines, from mathematical modeling and numerical methods to high-performance computing, particularly in fluid dynamics and structural mechanics. Currently a PhD candidate at Monash University, Nicholas is focused on enhancing the computational efficiency of simulations for complex, unsteady physical systems. His passion lies in solving challenging problems through collaboration, deep theoretical analysis, and cutting-edge computational techniques, positioning him as a future leader in applied mathematics and scientific computing.

Online Profiles

Education

  • Monash University (Australia), 2022-2025
    Pursuing a Doctorate in Applied Mathematics, Nicholas is focusing on the development of linear reduced order models to solve complex, unsteady parameterized partial differential equations. His research integrates both theoretical and computational approaches to optimize the performance of high-dimensional simulations in fluid dynamics, structural mechanics, and other fields.

  • Ecole Polytechnique Fédérale de Lausanne (Switzerland), 2019-2021
    Master’s degree with distinction, specializing in reduced modeling of unsteady Stokes flow. During this time, Nicholas developed novel methods to reduce computational complexity in fluid flow simulations while maintaining high accuracy, particularly in applications related to arterial blood flow.

  • Politecnico di Milano (Italy), 2016-2019
    Bachelor of Science in Mathematical Engineering, focusing on numerical methods for partial differential equations. His undergraduate thesis, on the development of solvers for the Bidomain model of the human heart, showcased his early interest in applying mathematical techniques to biological and medical problems.

Research Focus

Nicholas’s research centers on developing efficient computational methods to solve parameterized, unsteady partial differential equations (PDEs) using reduced order models (ROMs). These techniques enable simulations of complex systems, such as fluid dynamics and structural mechanics, to be carried out with significantly lower computational costs. His work particularly addresses the challenges of unsteady flow in systems where traditional methods are computationally expensive, and focuses on the application of these models to a wide range of scientific and engineering problems, including cardiovascular modeling and aerospace engineering.

Experience

In addition to his academic experience, Nicholas gained hands-on expertise at CSEM, Switzerland, where he worked as an intern on a research project involving topology optimization for aerospace applications. This experience enhanced his skills in numerical analysis, solver development, and validation, providing him with practical insights into applying mathematical theory to real-world engineering problems. Nicholas is also proficient in a variety of programming languages and tools, including Julia, Python, Matlab, C++, and Comsol, making him versatile in his computational research.

Research Timeline

  • 2022-Present: PhD research at Monash University, focusing on linear reduced order models for unsteady parameterized PDEs, aiming to improve the efficiency and accuracy of simulations.

  • 2019-2021: Master’s thesis research at EPFL, creating a space-time reduced model to solve unsteady Stokes equations for hæmodynamic simulations, significantly reducing computational time while retaining accuracy.

  • 2016-2019: Undergraduate research at Politecnico di Milano, focusing on developing numerical solvers for cardiac electrophysiology through finite element methods for the Bidomain model.

Awards & Honors

  • Monash University PhD Fellowship: Awarded a prestigious fellowship to support Nicholas’s doctoral research in Applied Mathematics, providing funding for his extensive computational and theoretical work.

  • EPFL Excellence in Research Award: Nicholas received this award for his outstanding contributions to the field of computational fluid dynamics and reduced order modeling.

  • Best Master’s Thesis Award: Recognized for the exceptional quality and impact of his master’s thesis, which advanced the field of space-time reduced modeling in fluid mechanics.
    These awards highlight Nicholas’s dedication to research excellence and his ability to contribute significantly to cutting-edge scientific fields.

Top-Noted Publication

  • Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations, SIAM Journal on Scientific Computing (2024).
    This publication presents innovative space-time reduced basis methods to efficiently solve parameterized unsteady Stokes equations, with applications in bioengineering, particularly in modeling blood flow dynamics. The work has contributed to advancing the understanding and application of reduced-order modeling techniques in computational fluid dynamics, helping to bridge the gap between high-fidelity simulations and real-time, practical applications.

  • A Tensor-Train Reduced Basis Solver for Parameterized Partial Differential Equations on Cartesian Grids
    Journal of Computational and Applied Mathematics, 2025
    DOI: 10.1016/j.cam.2025.116790

    • In this paper, Nicholas Mueller and his collaborators introduce a novel tensor-train reduced basis solver to address the computational challenges of parameterized partial differential equations on Cartesian grids. The method enhances the efficiency of solving high-dimensional problems by using tensor rank-reduction techniques, which significantly reduce computational costs while maintaining the solution’s accuracy. This work is instrumental for applications where large-scale simulations of complex systems are required.

  • Model Order Reduction with Novel Discrete Empirical Interpolation Methods in Space–Time
    Journal of Computational and Applied Mathematics, 2024
    DOI: 10.1016/j.cam.2024.115767

    • This paper presents an innovative hyper-reduction strategy for parameterized partial differential equations, focusing on space-time methods. Nicholas Mueller and Santiago Badia propose a discrete empirical interpolation method that efficiently approximates space- and time-dependent operators, enabling faster simulations of complex physical systems. The paper highlights the effectiveness of the method in reducing the computational burden while improving accuracy.

  • Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations
    SIAM Journal on Scientific Computing, 2024
    DOI: 10.1137/22M1509114

    • This work presents a comprehensive analysis of space-time reduced basis methods for the efficient simulation of unsteady Stokes equations, particularly applied to hæmodynamic problems. In collaboration with Riccardo Tenderini and Simone Deparis, Nicholas Mueller contributes significantly to the development of these methods, demonstrating their utility in reducing the complexity of time-dependent simulations without compromising accuracy.