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Ishiwata Lab
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The lab works on the numerical computation of delay differential equations and systems of linear equations.
AboutAbout the lab
Numerical analysis that underpins simulation
The Ishiwata Lab studies numerical analysis, which underpins the numerical simulation of natural phenomena.
It works on the numerical computation and stability analysis of differential equations with time delays (delay differential equations), which appear in physical and biological models.
The lab also takes up applications to the numerical computation of certain discrete integrable systems, as well as the numerical computation of systems of linear equations obtained through discretization.
Key terms
- Numerical analysis
- The field that studies procedures for solving approximated equations of mathematical models with numerical methods. It underlies simulation
- Delay differential equation
- A differential equation that expresses a change at a given moment as also depending on the state at an earlier moment
- Discrete integrable system
- Among equations that describe change in discrete steps, one whose solutions have a well-understood structure (integrability)
ResearchResearch themes
Numerical simulation represents a phenomenon with a mathematical model such as differential equations, solves the approximated equations with numerical methods, and thereby leads to understanding and prediction of the phenomenon. The Ishiwata Lab studies the numerical analysis underlying this process, using differential equations with time delays and systems of linear equations as its subjects.
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MembersFaculty
- ProfessorEmiko Ishiwata
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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: “Star Cluster R )” Credit: NASA, ESA, and STScI / Public domain (cropped)
- Numerical analysis that underpins simulation: “Computer simulation of a Lyman-alpha Blob” J.Geach/D.Narayanan/R.Crain / CC BY 4.0 (cropped)
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