Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Homogenised balance equations for nematic liquid crystal flow in elastic porous media. [PDF]
Alwady M, Mottram NJ, Penta R.
europepmc +1 more source
Special issue on degenerate and singular PDEs and phenomena in analysis and mathematical physics
openaire +1 more source
Stochastic Optimization of Non‐Convex Component Solution Spaces
ABSTRACT In systems engineering, solution spaces provide a practical way to reconcile competing goals by working with sets of good designs instead of point‐based solutions. Earlier contributions, however, were restricted either by limiting the dimensionality per component or, more recently, by constraining these spaces to be convex, which can, in some ...
Eduardo Rodrigues Della Noce +1 more
wiley +1 more source
Hybrid expansion methods for fractional non-linear mathematical systems with Erdelyi-Kober derivative operators in theory of tsunami wave modeling. [PDF]
Damag FH +5 more
europepmc +1 more source
Random Neural Networks for Rough Volatility. [PDF]
Jacquier A, Žurič Ž.
europepmc +1 more source
Poroelasticity derived from the microstructure for intrinsically incompressible constituents. [PDF]
Penta R +3 more
europepmc +1 more source
Complex soliton wave patterns of Gross-Pitaevskii systems: application in quantum and optical engineering. [PDF]
Bilal M +5 more
europepmc +1 more source
Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]
Elsaid Ramadan M +4 more
europepmc +1 more source

