Research Topics of Applied And Computational Geometry Project Ideas
1. Arbitrary positive powers of semicirculant and r-circulant matrices
2. Machine learning moment closures for accurate and efficient simulation of polydisperse evaporating sprays
3. New illustrative applications of integral transforms to financial models with different fractional derivatives
4. Assessment of pollutant dispersion in urban street canyons based on field synergy theory
5. Mathematical Modeling Aspect in Solvent Extraction of Metals
6. Solving a reaction–diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence
7. On absolute algebraic geometry the affine case
8. Investigation of Nanofluid Natural Convection Heat Transfer in Open Ended L-shaped Cavities utilizing LBM
9. Weave Realizability for D-type
10. Deep learning for plasticity and thermo-viscoplasticity
11. A geometrical approach to causality in multi-loop amplitudes
12. Statistical point cloud model to investigate measurement uncertainty in coordinate metrology
13. MPC path-planner for autonomous driving solved by genetic algorithm technique
14. Optimized free-form surface modeling of point clouds from laser-based measurement
15. Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field
16. Image-selective segmentation model for multi-regions within the object of interest with application to medical disease
17. Mathematical model of tumour spheroid experiments with real-time cell cycle imaging
18. The entropy universe
19. Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one
20. Coupled Brinkman and Kozeny–Carman model for railway ballast washout using the finite element method
21. Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs: Applications to Compressible Euler Equations and Granular Hydrodynamics
22. Integrated intelligent computing paradigm for nonlinear multi-singular third-order Emden–Fowler equation
23. A framework for the analysis of fully coupled normal and tangential contact problems with complex interfaces
24. A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification
25. Spurious-free interpolations for non-intrusive PGD-based parametric solutions: Application to composites forming processes
26. Non-Newtonian mathematics instead of non-Newtonian physics: Dark matter and dark energy from a mismatch of arithmetics
27. Penalized hyperbolic-polynomial splines
28. LDLE: Low Distortion Local Eigenmaps
29. Sos-sdp: an exact solver for minimum sum-of-squares clustering
30. Graph neural networks with convolutional arma filters
31. Quadratic Chabauty for modular curves: algorithms and examples
32. Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver
33. Formalising Mathematics–in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
34. Ground Metric Learning on Graphs
35. Design and analysis of a cluster-based intelligent hybrid recommendation system for e-learning applications
36. Remarks on almost Riemann solitons with gradient or torse-forming vector field
37. Aspects of categorical recursion theory
38. David Saintillan
39. Solving sparse linear systems faster than matrix multiplication
40. Phillips-Type-Bernstein Operators on Triangles
41. Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility
42. Industrial codes for CFD
43. Reliability properties of k-out-of-n systems with one cold standby unit
44. Machine learning for metal additive manufacturing: predicting temperature and melt pool fluid dynamics using physics-informed neural networks
45. Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers
46. Functional central limit theorems for persistent Betti numbers on cylindrical networks
47. The general position number of Cartesian products involving a factor with small diameter
48. Computers, rigidity, and moduli
49. Explicit Regularization of Stochastic Gradient Methods through Duality
50. Analysis and optimization of the curved trapezoidal winglet geometry in a compact heat exchanger
51. Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries
52. Inverse shape design method based on pressure and shear stress for separated flow via Elastic Surface Algorithm
53. Measuring wall shear stress distribution in the carotid artery in an African population: Computational fluid dynamics versus ultrasound doppler velocimetry
54. Heat-content and diffusive leakage from material sets in the low-diffusivity limit
55. Tail Control Enhances Gliding in Arboreal Lizards: An Integrative Study Using a 3D Geometric Model and Numerical SimulationComplimentary/Contributed Paper
56. Isospectral deformation of the reduced quasi-classical self-dual Yang–Mills equation
57. On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2
58. Matrix coupled model for the vehicle–track interaction analysis featured to the railway crossing
59. Digital Twins for Tissue Culture Techniques—Concepts, Expectations, and State of the Art
60. High‐throughput computational materials screening and discovery of optoelectronic semiconductors
61. Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals
62. Computational study of heat-transfer in extended surfaces with various geometries
63. Four Formulations of Average Derived from Pythagorean Means
64. NSCT domain–based secure multiple‐watermarking technique through lightweight encryption for medical images
65. Computerized approach for design and generation of face-milled non-generated hypoid gears with low shaft angle
66. A hybrid virtual–boundary element formulation for heterogeneous materials
67. High‐throughput computational design of halide perovskites and beyond for optoelectronics
68. Numerical optimization of a microchannel geometry for nanofluid flow and heat dissipation assessment
69. Repulsive Curves
70. A theory of capacity and sparse neural encoding
71. Mathematical design and preliminary mechanical analysis of the new lattice structure:“GE-SEZ*” structure processed by ABS polymer and FDM technology
72. Primary decomposition with differential operators
73. Novel method for a posteriori uncertainty quantification in wildland fire spread simulation
74. Effect of graphite die geometry on energy consumption during spark plasma sintering of zirconium diboride
75. Time-extremal navigation in arbitrary winds on conformally flat Riemannian manifolds
76. Compatibility conditions of continua using Riemann–Cartan geometry
77. A Graph Decomposition motivated by the Geometry of Randomized Rounding
78. Development and validation of SuperDEM for non-spherical particulate systems using a superquadric particle method
79. Approximating (k, ℓ-Median Clustering for Polygonal Curves
80. Schizophrenia recognition based on the phase space dynamic of EEG signals and graphical features
81. A stabilized finite element method for the Poisson–Nernst–Planck equations in three-dimensional ion channel simulations
82. Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
83. Two-loop five-point integration-by-parts relations in a usable form
84. An SOS counterexample to an inequality of symmetric functions
85. Numerical investigation of the stability of mixed convection in a differentially heated vertical porous slab
86. A uniform model of computational conceptual blending
87. On the symplectic superposition method for analytic free vibration solutions of right triangular plates
88. An overview on advances in computational fracture mechanics of rock
89. Slip and porosity effects on peristalsis of MHD Ree-Eyring nanofluid in curved geometry
90. Multilevel graph partitioning for three-dimensional discrete fracture network flow simulations
91. Open-source immersogeometric analysis of fluid–structure interaction using FEniCS and tIGAr