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Numerical Analysis and Computational Fluid Dynamics Lab
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The lab mathematically investigates numerical methods for partial differential equations.
AboutAbout the lab
Evaluating errors in numerical computation with mathematics
Associate Professor Daisuke Tagami's lab works in applied mathematics and computational mechanics.
The lab is interested in developing methods for solving partial differential equations numerically, estimating their errors, and applying them to real-world problems.
Specifically, it works on numerical analysis of particle methods, building large-scale numerical methods for electromagnetic field problems, and numerical analysis of viscoelastic flow problems.
Key terms
- Particle method
- A method that represents fluids and other media by the motion of many particles and computes their behavior
- Finite element method
- A method that divides the computational domain into small elements to approximate the solution of an equation
- Error analysis
- Mathematically evaluating how far the result of a numerical computation deviates from the true solution
ResearchResearch themes
The lab's research centers on developing numerical methods for partial differential equations, error evaluation, and application to real-world problems. Targeting problems such as fluid flow and electromagnetic fields, it mathematically evaluates the errors of numerical computation.
*Illustrative imageNumerical Analysis of Homogenization Methods
The lab studies the homogenization method from the standpoint of numerical analysis.
*Illustrative imageNumerical Analysis of Particle Methods
The lab works on numerical analysis of particle methods from the standpoint of error analysis.
*Illustrative imageNumerical Analysis of Viscoelastic Flow Problems
The lab computes viscoelastic flow problems with the finite element method and works on their error analysis.
*Illustrative imageNumerical Analysis of Light Interference and Scattering Problems
The lab numerically analyzes problems of light interference and scattering using Maxwell's equations and the Helmholtz equation. It uses the finite element method and error analysis, and also deals with holography.
MembersFaculty
- Associate ProfessorDaisuke Tagami
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “AbsoluteErrorNumericalDifferentiationExample” Berland / Public domain (cropped)
- Numerical Analysis of Homogenization Methods: “Honeycomb composite material” Xincailiao.com / CC BY-SA 4.0 (cropped)
- Numerical Analysis of Particle Methods: “Particle-beam weapon” Wikideas1 / CC0 (cropped)
- Numerical Analysis of Viscoelastic Flow Problems: “Guizhouichthyosaurus Flow Velocity” Gutarra, S.; Moon, B. C.; Rahman, I. A.; Palmer, C.; Lautenschlager, S.; Brimacombe, A. J.; Benton, M. J. / CC BY 4.0 (cropped)
- Numerical Analysis of Light Interference and Scattering Problems: “Human hair diffraction” Citruzz / CC BY 4.0 (cropped)
- Related lab (Numerical Analysis and Computational Fluid Dynamics Lab): “Biomechanics-Femur-Fracture-Nail-Internal Fixation-CAD-FEM” Fry72 Karel Frydrýšek, Tomáš Halo, Daniel Čepica / CC BY-SA 4.0 (cropped)
- Related lab (〈Dynamical Systems / Verified Numerical Computation〉): “FitzHugh-Nagumo Model” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Related lab (Dynamical Systems and Verified Numerical Computation Lab (Kaname Matsue)): “Flow and orbit of vector field (dynamical system)” Yapparina / CC0 (cropped)
- Related lab (Machine Learning and Explainable AI Lab): “Unsupervised-Learning” Rakshath / CC BY-SA 4.0 (cropped)
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