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In this manuscript, eigenvalues of the Electron Temperature Gradient (ETG)modes and Ion Temperature Gradient (ITG) modes are determined numerically usingHermite and Sinc differentiation matrices based methods. It is shown that thesemethods are very useful for the computation of growth rates and threshold ofthe ETG and ITG modes. The total number of accurately computed eigenvalues forthe modes have also been computed. The ideas developed here are also ofrelevance to other modes that use Ballooning formalism.

Computation of Growth Rates and Threshold of the Electromagnetic Electron Temperature Gradient Modes in Tokamaks