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Blast Quantification Using Hopkinson Pressure Bars

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Published on: July 5, 2016

Multidimensional Chebyshev interpolation for warm and hot dense matter.

Gérald Faussurier¹, Christophe Blancard¹

¹CEA, DAM, DIF, F-91297 Arpajon, France.

Physical Review. E

|June 17, 2017

Summary

This study introduces a multidimensional Chebyshev interpolation method for approximating complex functions. This technique is useful for creating databases, such as equations of state for dense matter, and leverages supercomputing power.

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Area of Science:

Computational physics
Numerical analysis
Applied mathematics

Background:

Approximating complex functions is crucial in scientific research.
Existing methods may be limited in handling functions with multiple variables.

Purpose of the Study:

To develop a generalized multidimensional Chebyshev interpolation scheme.
To enable accurate approximation of smooth functions dependent on multiple variables.

Main Methods:

Utilizing multidimensional Chebyshev interpolation.
Generalizing the one-dimensional Chebyshev approximation approach.

Main Results:

The proposed scheme effectively approximates smooth, multivariate functions.
The method is suitable for generating scientific databases.

Conclusions:

Multidimensional Chebyshev interpolation offers a powerful tool for function approximation.
This method is well-suited for applications in warm and hot dense matter physics and can utilize modern supercomputing resources.