Samarth Agarwal

Adaptive Quadrature for Sharply Spiked Integrands

Adaptive Quadrature for Sharply Spiked Integrands Samarth Agarwal, Michael Povolotskyi, Tillmann Kubis and Gerhard Klimeck

Objective:

  • To reduce the cost of resolving and integrating sharp features in integrands.

Approach:

  • Low accuracies are sufficient for engineering applications.
  • Existing adaptive quadrature methods cannot capture sharp features at low node counts.
  • Using a 5 point scheme nodes are added based on local integral convergence.
  • Sharp features in transmissions can be captured with very few nodes.

Impact:

  • Has the potential to reduce the simulation time and memory footprint significantly.

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Samarth Agarwal's Pages

Biography Effective band-gaps of a superlattice Design ideas for Tunnel-FETs Adaptive Quadrature for Sharply Spiked Integrands Quantum transport in Resonant Tunneling Diodes(NEGF based) Poisson Schrodinger Solver for 1D heterostructures Piecewise Constant Potential Barrier Tool

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