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On multi-fidelity methods for a tumor growth model with uncertainties

arXiv:2606.03607v1 Announce Type: new Abstract: We develop a hierarchical multi-fidelity (MF) framework for efficient uncertainty quantification of porous-medium equation (PME) tumor growth models with moving free boundaries. The proposed approach combines coarse-grid PME solvers, level-set approximations of the Hele--Shaw limit, and fine-grid asymptotic-preserving PME discretizations, thereby integrating both discretization-based and asymptotic-model-based fidelity reduction. To guide the...

arXiv CS 7d ago

Differentiable Particle-Mesh Ewald with Cartesian Tensor Message Passing for Learning Long-Range Electrostatics and Dipole Response

Announce Type: new Abstract: Machine learning interatomic potentials (MLIPs) can approach quantum accuracy for short-range chemistry, but most architectures remain local and fail to capture the long-range electrostatic and polarization interactions essential for ionic, polar, and interfacial systems. Recent Ewald-based MLIPs show that locally predicted electrostatic variables can recover important long-range physics, including multipolar response. However, many energy-based implementations...

arXiv Physics 8d ago

Researchers craft a new, simple recipe for highly entangled quantum states

Researchers craft a new, simple recipe for highly entangled quantum states Sadie Harley Scientific Editor Andrew Zinin Lead Editor Building useful quantum technologies—from sensors to computers—requires generating highly complex entangled states, in which the properties of particles are deeply intertwined. Producing such states has traditionally required complex tools and carefully engineered setups with many parts. Now, researchers at the University of Chicago Pritzker School of Molecular...

Phys.org 2d ago

Scientists found a surprisingly simple way to create powerful quantum states

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Science Daily 4d ago