4 papers
Reduced basis algorithm for solving nonlinear differential equations on quantum computers
Monica LÄcÄtuÅ, Matthias Möller, Sauro Succi
As quantum computing moves toward scientific computing applications, nonlinear differential equations remain a central challenge since quantum evolution is intrinsically linear. In…
Efficient thermal simulation in metal additive manufacturing via semi-analytical isogeometric analysis
Yang Yang, Ye Ji, Matthias Möller +1
Thermal modeling of Laser Powder Bed Fusion (LPBF) is challenging due to steep, rapidly moving thermal gradients induced by the laser, which are difficult to resolve accurately wit…
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
Monica LÄcÄtuÅ, Matthias Möller
This study introduces a framework for learning a low-depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non-unitary Bhatnagar-Gross-Krook…
IGA-LBM: Isogeometric lattice Boltzmann method
Ye Ji, Monica Lacatus, Monica LÄcÄtuÅ +1
The lattice Boltzmann method (LBM) offers intrinsic parallelism and simple boundary treatment, but Cartesian lattices approximate curved boundaries by stair steps, causing spurious…