## 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