Homotopy Jacobian

Homotopy Jacobian

This page documents the functions that compute the Jacobian of the dissipation function needed by homotopy methods

EulerEquationMod.getLambdaMaxSimple_diff โ€” Method.

Differentiated version of getLambdaMaxSimple

Inputs

  • params

  • qL

  • qR

  • dir

Inputs/Outputs

  • lambda_dotL: derivative of lambda wrt. qL

  • lambda_dotR: derivative of lambda wrt. qR

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EulerEquationMod.getLambdaMax_diff โ€” Method.

Differentiated version of getLambdaMax

Inputs

  • params: ParamType

  • qL: vector of conservative variables at a node

  • dir: direction vector (can be scaled)

Inputs/Outputs

  • qL_dot: derivative of lambda max wrt qL

Outputs

  • lambda_max: maximum eigenvalue

source