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Project 15: Application of Numerical Inverse Laplace Transforms for Stability Analysis

Suitable Majors

Applied Mathematics, Mechanical Engineering, Physics

Research Area

Computational fluid dynamics

Internship Description

To investigate the application of inverse Laplace transforms numerically to solve initial value problems in problems of hydrodynamic stability. ​
Methods: Finite differences and numerical analysis​.

Prerequisites

Good knowledge of calculus, Laplace and Fourier transforms, familiarity with basic numerical methods

Deliverables/Expectations

Reproducing stability curves using numerical methods instead of analytical techniques

Other Comments

​Internship dates: 23 June to 29 August or 7 July to 14 September​

Division

Physical Sciences and Engineering

Faculty Name

Ravi Samtaney