- 1. Introduction
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The Applied Analysis Research Group (AARG) was established by Ton Duc Thang University (TDTU) in 2015 with the goal of researching in the field of analytic math theory and applying analytic mathematics to solve real-world problems. AARG studies mathematical problems arising from the physical, chemical, geophysical, biophysical, and materials sciences. These problems are often described by time-dependent integral or ordinary partial differential equations, along with complex boundary conditions and external forces. Research results will be published in reputable international journals in Scopus/WoS.
- 2. Mission and vision
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- Strengthening TDTU's international publications in prestigious journals under Scopus/WoS categories.
- Connection and cooperation between domestic and foreign researchers.
- In addition, this research group is a part of the Faculty of Mathematics and Statistics (TDTU) to develop and strengthen scientific research on the quality of articles, training and number of researchers.
- 3. Research topics
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- Partial derivative equations (PDEs)
- Random partial derivative equations (SPDEs)
- Calculus in partial differential equations
- Inverse problem in Science and Engineering (Bio Imaging, Electrical Positioning, Echolocation, Scattering)
- Numerical methods for Science and Engineering
- Image processing (Image segmentation, denoising, contour detection, texture recognition)
- Calculus of numbers
- Calculus of non-integer degrees
- Calculus of Variations
- Calculus of functions
- Optimization
- 4. Members
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Dr. Tran Minh Phuong Position:
• Head of the Applied Analysis Research Group (AARG), Faculty of Mathematics - Statistics, Ton Duc Thang University
• Lecturer - Researcher, Faculty of Mathematics - Statistics, Ton Duc Thang University
Research direction: Functional analysis; Nonlinear analysis in partial differential equations; Calculus of Variations; Image processing; Inverse problem (biological imaging, analysis, repositioning, scattering); Numerical analysis
Dr. Nguyen Le Toan Nhat Linh Position:
• Member of the Applied Analysis Research Group (AARG), Faculty of Mathematics - Statistics, Ton Duc Thang University
• Lecturer - Researcher, Faculty of Mathematics - Statistics, Ton Duc Thang University
Research direction: Fuzzy modeling, time series analysis, fuzzy (partial) differential equations, numerical methods for differential equations
Dr. Nguyen Huu Can Position:
• Member of the Applied Analysis Research Group (AARG), Faculty of Mathematics - Statistics, Ton Duc Thang University
• Lecturer - Researcher, Faculty of Mathematics - Statistics, Ton Duc Thang University
Research direction: Equations of partial derivatives; Ill-posed problem; Time forward/backward problem; Fractional Calculus ; Numerical analysis; Mathematical modeling in fluid mechanics
Dr. Tran Ngoc Thach Position:
• Member of the Applied Analysis Research Group (AARG), Faculty of Mathematics - Statistics, Ton Duc Thang University
• Lecturer - Researcher, Faculty of Mathematics - Statistics, Ton Duc Thang University
Research direction: Partial derivative equation; Random equation; Wiener process; Inverse problem; Regularization method
Dr. Le Truong Nhat Position:
- Member of the Applied Analysis Research Group (AARG), Faculty of Mathematics and Statistics, Ton Duc Thang University
- Lecturer - Researcher, Faculty of Mathematics and Statistics, Ton Duc Thang University
Research direction: Stochastic feedback techniques, Bayesian methods, goodness-of-fit testing
MSc. Che Ngoc Ha Position:
- Member of the Applied Analysis Research Group (AARG), Faculty of Mathematics and Statistics, Ton Duc Thang University
- Lecturer - Researcher, Faculty of Mathematics and Statistics, Ton Duc Thang University
Research direction: Data mining, classification, clustering, applied statistics in economics and social sciences