Math Research Topics – T4Tutorials.com

Mathematical Finance – Research Topics

Government Fighting Pandemic, Stock Market Return, and COVID-19 Virus Outbreak
Analysis of commercial land leasing of the district governments of Beijing in China
Stochastic dominance efficient sets and stochastic spanning
A Unified Entropic Pricing Framework of Option: Using Cressie-Read Family of Divergences
A Multilevel Study of the Impact of District-Level Characteristics on Texas Student Growth Trajectories on a High-Stakes Math Exam
The demand for AI skills in the labor market
How Does the Market React to Corporate Philanthropic Behavior?—evidence from the COVID-19 Pandemic Shock
Mathematics learning opportunities in preschool: Where does the classroom library fit in?
Non-life insurance ratemaking techniques
The Role of Business Capabilities in Supporting Organization Agility and Performance During the COVID-19 Pandemic: An Empirical Study in Indonesia
Board interlocks and stock liquidity: New evidence from an emerging market

Numerical Analysis – Research Topics

Protecting the Historic Buildings of Mexico: The Barrel Vault of San Agustin Church in Morelia
A Numerical Algorithm to Reconstruct the Missing Points from the Membrane Wings of a Bat via the Computerized Motion Capture System
Contrast Enhancement Algorithm Using Definite Integration Mathematical Method Trapezoidal Rule
Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error …
Estimations of Vertical Rail Bending Moments from Numerical Track Deflection Measurements Using Wavelet Analysis and Radial Basis Function Neural Networks
Numerical investigation of nanoparticles shape impacts on thermal energy transfer and flow features of nanofluid impingement jets
Numerical Investigation of High-Frequency Wave-Leak Interaction in Water-Filled Pipes
Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study
Experimental and numerical failure analysis of horizontal axis water turbine carbon fiber-reinforced composite blade
Numerical simulation and analysis of fracture etching morphology during acid fracturing of dolomite reservoirs

Mathematical Biology – Research Topics

Representation of solutions for linear fractional systems with pure delay and multiple delays
Review of fractional epidemic models
Mathematical analysis of crime dynamics in and out of prisons
A Tutorial on the Mathematical Model of Single Cell Variational Inference
Economic Dynamics with Memory: Fractional Calculus Approach
International Conference «Marchuk Scientific Readings 2020»(MSR-2020), dedicated to the 95th anniversary of the birthday of Academician Guri I. Marchuk
Living Systems: The Epistemic Relation to Reality
Data Integration Using Advances in Machine Learning in Drug Discovery and Molecular Biology
Expanded NK cells from umbilical cord blood and adult peripheral blood combined with daratumumab are effective against tumor cells from multiple myeloma patients
A random multiplicative model of Piéron’s law and choice reaction times

Symplectic geometry – Research Topics

Shift operators and connections on equivariant symplectic cohomology
The relation between Feynman diagrams and Kontsevich graphs in non-commutative star products
Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism
Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
On the invariance of Welschinger invariants
Holomorphic anomaly equation for
A lift of the Seiberg–Witten equations to Kaluza–Klein five-manifolds
Equivariant cohomology for differentiable stacks
Billiard tables with rotational symmetry
T-duality and T-folds for point particles

Random Graphs – Research Topics

A cycle-based formulation for the Distance Geometry Problem
Two-type annihilating systems on complete and star graphs
Minimizing the number of complete bipartite graphs in a -saturated graph
Persistence of hubs in growing random networks
Network dismantling: From vertex separator to edge separator using explosive percolation
Failure and Communication in a Synchronized Multi-drone System
Frozen 1-RSB structure of the symmetric Ising perceptron
Two Problems in Extremal Combinatorics

Fluidic shaping – Research Topics

Area-optimal simple polygonalizations: The CG challenge 2019
Monitoring leaf phenology in moist tropical forests by applying a superpixel-based deep learning method to time-series images of tree canopies
Computing coordinated motion plans for robot swarms: The cg: shop challenge 2021
Connectivity constrains quantum codes
Performance of PV integrated dynamic overhangs applied to US homes
Quantifying potential dynamic façade energy savings in early design using constrained optimization
Discrete conformal equivalence of polyhedral surfaces
… extreme learning machine model coupled with K-means clustering and firefly algorithm for estimating monthly reference evapotranspiration in parallel computation
Pre-surgical prediction of ischemic mitral regurgitation recurrence using in vivo mitral valve leaflet strains
Feasibility study of urban flood mapping using traffic signs for route optimization

Computational Geometry – Research Topics

Fluidic shaping of optical components
Pointwise Fabrication and Fluidic Shaping of Carbon Nanotube Field Emitters
Fluidic-based virtual aerosurface shaping
Thermal modulation of fluidic lenses in microgravity
Fabrication of diffractive optical elements by programmable thermocapillary shaping of thin liquid films
Programmable thermocapillary shaping of thin liquid films
Stochasticity, succession, and environmental perturbations in a fluidic ecosystem
Shaping acoustic fields as a toolset for microfluidic manipulations in diagnostic technologies
Liquid crystal microfluidics for tunable flow shaping
Opto-fluidic velocimetry using liquid crystal microfluidics

Quantitative Biology – Research Topics

Mathematica: a system for doing mathematics by computer
Conservation priorities in a biodiversity hotspot: analysis of narrow endemic plant species in New Caledonia
How does mathematics anxiety impair mathematical abilities? Investigating the link between math anxiety, working memory, and number processing
Genetic architecture of mandible shape in mice: effects of quantitative trait loci analyzed by geometric morphometrics
Integration of cadherin adhesion and the cytoskeleton at adherens junctions
Quantitative analyses of empirical fitness landscapes
Monte Carlo strategies in scientific computing
Control theory for humans: Quantitative approaches to modeling performance
Quantitative methods and biogeographic analysis
An Introduction to Mathematical Biology

Generalized complex geometry – Research Topics

Generalized Ricci Flow
A study on dual-generalized complex and hyperbolic-generalized complex Numbers
Generalization across multiple mathematical domains: Relating, forming, and extending
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures
Fractal structure and generalization properties of stochastic optimization algorithms
New spaces in mathematics: Formal and conceptual reflections
On the topology of warped product pointwise semi-slant submanifolds with positive curvature
Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms
Generalized Gibbs’ Phase Rule
A generalized finite difference method for solving Stokes interface problems

Graphs clustering – Research Topics

Test of understanding graphs in kinematics: Item objectives confirmed by clustering eye movement transitions
Symbol alphabets from plabic graphs III: N= 9
Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution
A novel method of spectral clustering in attributed networks by constructing parameter-free affinity matrix
The PACE 2021 parameterized algorithms and computational experiments challenge: Cluster Editing
Symbol alphabets from plabic graphs II: rational letters
Automatic analysis of attack graphs for risk mitigation and prioritization on large-scale and complex networks in Industry 4.0
Figures of graph partitioning by counting, sequence and layer matrices
Combining clickstream analyses and graph-modeled data clustering for identifying common response processes
Lexical Sense Labeling and Sentiment Potential Analysis Using Corpus-Based Dependency Graph

Graphs Limits – Research Topics

GAMES: A Gentle Approach to Math, Excel, and Stats (Course 2)
Scaling limits for the Gibbs states on distance-regular graphs with classical parameters
Common graphs with arbitrary connectivity and chromatic number
Graph Indices for Cartesian Product of-sum of Connected Graphs
Hydrodynamic limits of non-Markovian interacting particle systems on sparse graphs
Local limits of spatial inhomogeneous random graphs
Inverse limits with set-valued functions having graphs that are arcs
Mean-field limits of phase oscillator networks and their symmetries
On breadth-first constructions of scaling limits of random graphs and random unicellular maps
Inverse Limits with Markov-Type Functions

Research Topics on Hydrodynamic quantum analogs

Real surreal trajectories in pilot-wave hydrodynamics
A Hydrodynamic Quantum Analogue: Walking Droplets
Fluid Dynamicists Need to Add Quantum Mechanics into their Toolbox
A hydrodynamic analog of superradiant emission
Hydrodynamic superradiance in wave-mediated cooperative tunneling
Gravitational edge modes, coadjoint orbits, and hydrodynamics
Walking droplets as a damped-driven system
Hydrodynamic derivation of the Gross–Pitaevskii equation in general Riemannian metric
A Minimal Orbital Quantization Model and Quantum Hall Effect Analog in Pilot-Wave Hydrodynamics
Probing quantum effects with classical stochastic analogs

Research Topics on Interfacial Phenomena

Polyphenolic antioxidants in lipid emulsions: Partitioning effects and interfacial phenomena
Mathematical modeling on transient multiphase flow and slag entrainment in continuously casting mold with double-ruler EMBr through LES+ VOF+ DPM method
Plasmon and plexciton driven interfacial catalytic reactions
Quantitative determination of lithium depletion during rapid cycling in sulfide-based all-solid-state batteries
Mathematical analysis and its experimental comparisons for the accumulative roll bonding (ARB) process with different superimposed layers
Mathematical modeling of novel porous transport layer architectures for proton exchange membrane electrolysis cells
Mechanical and durable properties of chopped basalt fiber reinforced recycled aggregate concrete and the mathematical modeling
Mathematical modelling of food hydrolysis during in vitro digestion: From single nutrient to complex foods in static and dynamic conditions
Lamb wave scattering analysis for interface damage detection between a surface-mounted block and elastic plate
Computational fluid dynamics (CFD) simulation of inclusion motion under interfacial tension in a flash welding process.

Research Topics on Large deviations

Large deviations principle for 2D Navier-Stokes equations with space-time localized noise
Large deviations of currents in diffusions with reflective boundaries
Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls
Dynamical Large Deviations for Homogeneous Systems with Long Range Interactions and the Balescu–Guernsey–Lenard Equation
Asymptotically-preserving large deviations principles by stochastic symplectic methods for a linear stochastic oscillator
Decision Theory and large deviations for dynamical hypotheses tests: The Neyman-Pearson Lemma, Min-Max and Bayesian tests
Entropic optimal transport: Geometry and large deviations
Multifractal analysis and large deviations of homological growth rates for hyperbolic surfaces
Finite time large deviations via matrix product states
Large deviations for the greedy exploration process on configuration models

Research Topics on Partial differential equations, Nonlinear analysis

Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations
Novel analysis of the fractional-order system of non-linear partial differential equations with the exponential-decay kernel
Reducing computational efforts in linear and nonlinear analysis of peridynamic models under impact loads
THIRD ORDER ITERATIVE METHOD FOR SOLVING NON-LINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION IN FINANCIAL APPLICATION
A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest-neighbors regression
Nonlinear analysis of the ballast influence on the train-bridge resonance of a simply supported railway bridge
Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations
The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation
A novel method to impose boundary conditions for higher-order partial differential equations
Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations

Read More research topics on Partial differential equations, Nonlinear analysis

Research Topics on Medical imaging

Introduction to the mathematics of medical imaging
Active contour and segmentation models using geometric PDE’s for medical imaging
Math, magnets, and medicine: Enabling personalized oncology
Webb’s physics of medical imaging
The Radon transform and medical imaging
Towards new functional nanostructures for medical imaging
Fluid–structure interaction in blood flows on geometries based on medical imaging
Kyoto prizes in math and medical imaging.
Relevance of accurate Monte Carlo modeling in nuclear medical imaging
Compressive sensing in medical imaging

Research Topics on Learning Theory

A neural network solves, explains, and generates university math problems by program synthesis and few-shot learning at human level
The math is not the territory: navigating the free energy principle
A Qualitative Descriptive Study of Teachers’ Implemented Instructional Strategies and Perceived Effectiveness for Foundational Math Literacy Elements
Mastery Learning and Specs Grading in Discrete Math
The Magic Is in the Margins: UDL Math
Development of an Android-Based for Math E-Module by using Adobe Flash Professional CS6 for Grade X Students of Senior High School
Teacher capacity to adopt and use student-centered instruction in secondary math classrooms
A self-regulated learner framework for students with learning disabilities and math anxiety
Balance Board Math:“Being the graph” through the sense of balance for embodied self-regulation and learning
A study of enjoyment of mathematics lessons and career aspirations of upper secondary students under Math-Science and Math-English programs

Research Topics on Symplectic Geometry

Symplectic geometry of Cartan–Hartogs domains
Symplectic topology and algebraic families
Symplectic geometry and necessary conditions for optimality
When Symplectic topology meets Banach space geometry
Flexible embeddings in contact and Symplectic geometry
Symplectic geometry and the motion of a particle in a magnetic field
New construction of authentication codes with arbitration from pseudo-Symplectic geometry over finite fields
A survey on Symplectic and multi-Symplectic algorithm

Research Topics on Stochastic processes

Stochastic processes with applications
Adventures in stochastic processes
Detection of stochastic processes
Basics of applied stochastic processes
Stochastic processes and applications
Elements of applied stochastic processes
An introduction to stochastic processes with applications to biology
Applied probability and stochastic processes
Essentials of stochastic processes
Stochastic processes in physics and chemistry

Research Topics on Numerical Analysis

Evidence for two Numerical systems that are similar in humans and guppies
Numerical notation: A comparative history
Asymmetric numeral systems : entropy coding combining speed of Huffman coding with compression rate of arithmetic coding
Numerical system for infrared scanners and application to the subsurface control of materials by photothermal radiometry
Quantities, amounts, and the Numerical core system
Dynamical systems and Numerical analysis
Development of optimum process design system by Numerical simulation
Numerical representations in primates.
Numerals: Comparative-etymological Analyses of Numeral Systems and Their Implications: Saharan, Nubian, Egyptian, Berber, Kartvelian, Uralic, Altaic …
Numerical analysis of dynamical systems

Math Research Topics
By: Prof. Dr. Fazal Rehman | Last updated: February 3, 2024

Mathematical Finance – Research Topics

Numerical Analysis – Research Topics

Mathematical Biology – Research Topics

Symplectic geometry – Research Topics

Random Graphs – Research Topics

Fluidic shaping – Research Topics

Computational Geometry – Research Topics

Quantitative Biology – Research Topics

Generalized complex geometry – Research Topics

Graphs clustering – Research Topics

Graphs Limits – Research Topics

Research Topics on Hydrodynamic quantum analogs

Research Topics on Interfacial Phenomena

Research Topics on Large deviations

Research Topics on Partial differential equations, Nonlinear analysis

Research Topics on Medical imaging

Research Topics on Learning Theory

Research Topics on Symplectic Geometry

Research Topics on Stochastic processes

Research Topics on Numerical Analysis

More Math Research Topics

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