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Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...

2024 IEEE International Conference on Quantum Computing and Engineering (QCE) In this work, we present novel concepts for quantum algorithms to solve transient, nonlinear partial differential ...

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A tiny and lightning-fast implementation of Spatialized Normal Cone Hierarchy (SNCH) on CUDA for Monte Carlo PDE research. Competitive alternative to fcpw.

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Basic Science Division, World University of Bangladesh, Dhaka, Bangladesh. Our purpose of this ...

Partial differential equations (PDEs) are among the most ubiquitous tools used in modeling problems in nature. However, solving high-dimensional PDEs has been notoriously difficult due to the “curse ...