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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Combining low-cost electronic structure theory and low-cost parallel computing architecture.

Pit Steinbach1, Christoph Bannwarth1

  • 1Institute for Physical Chemistry, RWTH Aachen University, Melatener Str. 20, 52074 Aachen, Germany. bannwarth@pc.rwth-aachen.de.

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Summary
This summary is machine-generated.

Low-cost electronic structure methods like HF-3c, PBEh-3c, and ωB97X-3c are accelerated using consumer GPUs in TeraChem. This offers an optimal balance of computational cost, accuracy, and monetary expense.

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Area of Science:

  • Computational chemistry
  • Electronic structure theory
  • High-performance computing

Background:

  • Electronic structure methods are computationally intensive.
  • Heterogeneous computing architectures, like GPUs, can accelerate these calculations.
  • TeraChem software has been developed since 2008 for GPU acceleration.

Purpose of the Study:

  • To implement and evaluate three low-cost electronic structure methods (HF-3c, PBEh-3c, ωB97X-3c) on consumer-grade GPUs.
  • To assess the performance benefits of mixed-precision integral handling in TeraChem.
  • To explore the combination of these methods with the hh-TDA formalism for excited states.

Main Methods:

  • Implementation of HF-3c, PBEh-3c, and ωB97X-3c methods in TeraChem.
  • Leveraging mixed-precision integral handling for Gaussian integrals with angular momentum l < 3.
  • Combining 3c methods with the hh-TDA formalism for excited state calculations.

Main Results:

  • Significant performance improvements observed for HF-3c, PBEh-3c, and ωB97X-3c on consumer GPUs.
  • ωB97X-3c achieves higher accuracy with the current GPU integral library limitations.
  • New, efficient low-cost multi-configurational excited states methods are enabled via hh-TDA combination.
  • Benchmarking demonstrates effective description of lowest vertical excitation energies.

Conclusions:

  • Combining efficient electronic structure methods with affordable parallelized hardware offers an optimal cost-to-accuracy ratio.
  • Consumer-grade GPUs can be effectively utilized to accelerate quantum chemical calculations.
  • The implemented methods provide accessible and accurate computational tools for researchers.