Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita +5 more
core +4 more sources
Full correction of scattering effects by using the radiative transfer theory for improved quantitative analysis of absorbing species in suspensions [PDF]
, 2013 Sample-to-sample photon path length variations that arise due to multiple scattering can be removed by decoupling absorption and scattering effects by using the radiative transfer theory, with a suitable set of measurements.
Thennadil, Suresh N. +1 more
core +4 more sources
Pattern-Aware Intelligence Enables Nondestructive, Rapid Quantification of High-Aspect-Ratio Silicon Etching. [PDF]
Adv Sci (Weinh)Pattern‐dependent etching is converted into a physical prior for intelligent reconstruction of high‐aspect‐ratio silicon structures. Combining YOLO‐Pose feature extraction with a topography network, the framework retrieves depth, sidewall angle, and scallop texture from minimal destructive observations, enabling accurate cross‐scale metrology and near ...
He S, Chen L, Wen B, Jin Y, Wang W.
europepmc +2 more sources
Novel approaches to perturbative scattering amplitudes in gauge theory and gravity [PDF]
, 2009 PhDScattering amplitudes of massless quanta play a crucial role in the calculation of cross sections for multi-jet production at hadron colliders. The framework provided by perturbative quantum field theory, based on Feynman diagrams, does not capture ...
Nasti, Adele
core +4 more sources
Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
core +1 more source
Low and high orders light scattering within the dispersible media. [PDF]
, 2005 Sprays, aerosols as well as other industrially relevant turbid media can be characterized by light scattering techniques. However these techniques often fall into the intermediate scattering regime where the average number of times a photon is ...
Churmakov, D. Y. +3 more
core +7 more sources
Laplace-transform-based method to calculate back-reflected radiance from an isotropically scattering half-space [PDF]
, 1997 We present a method to determine the back-reflected radiance from an isotropically scattering half-space with matched boundary. This method has the advantage that it leads very quickly to the relevant equations, the numerical solution of which is also ...
Rinzema, K., +5 more
core +2 more sources
Scattering theory for unitary operators [PDF]
, 2023 In this course, we shall develop the scattering theory for unitary operators, mimicking the better developed theory for self-adjoint operators. The time dependent and time independent approach will be studied, and stationary expressions for the main ...
RICHARD, Serge
core
Multilevel CNNs for parametric PDEs [PDF]
, 2023 We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs.
Heiß, Cosmas +2 more
core +1 more source
On integrable conservation laws [PDF]
, 2014 We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio +2 more
core +1 more source