Results 141 to 150 of about 2,048 (231)
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.Abstract Simulations of numerical weather prediction models indicate that the atmosphere possesses an intrinsic limit of predictability. Initial perturbations of tiny amplitude grow quickly in areas of convection and latent heat release, then spread out and move upscale, eventually affecting even the largest planetary scales after about 2 weeks.
T. Selz, G. C. Craig
wiley +1 more source
Compressed sensing for inverse problems
Inverse problems are fundamental in many areas of science and engineering, yet their theoretical analysis often assumes access to an infinite number of measurements.
FELISI, ALESSANDRO
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Latent Neural Operator for Solving Forward and Inverse PDE Problems
Advances in Neural Information Processing Systems 37Neural operators effectively solve PDE problems from data without knowing the explicit equations, which learn the map from the input sequences of observed samples to the predicted values. Most existing works build the model in the original geometric space, leading to high computational costs when the number of sample points is large.
Tian Wang 0006, Chuang Wang
openaire +3 more sources
Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
wiley +1 more source
Solving Inverse PDE Problems using Minimization Methods and AI
CoRR52 pages, 21 Figures, 22 ...
Noura Al Helwani +2 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Reduced models for optimal control, shape optimization and inverse problems in haemodynamics
, 2013 ECCOMAS PhD AwardInternational audienceDespite the computer resources nowadays available, it is still difficult - and often impossible - to deal with applications and scenarios involving the repeated solution of PDEs on different data settings (many-query
Manzoni, Andrea
core
Inverse Problems Using Reduced Basis Method
, 2014 Inverse Problems is a field of great interest for many applications, such as parameter identification and image reconstruction. The underlying models of inverse problems in many applications often involve Partial Differential Equations (PDEs).
Gralla, Phil
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CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python
Inverse problems, particularly those governed by Partial Differential Equations (PDEs), are prevalent in various scientific and engineering applications, and uncertainty quantification (UQ) of solutions to these problems is essential for informed ...
Alghamdi, Amal M A +7 more
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Inverse Source Problems for Wave Propagation
, 2019 Source problems play an important and unique role in PDEs. More specifically, inverse source scattering problem arises in many areas of science. It has numerous applications to medical imaging and geophysics, acoustical and bio-medical industries ...
Entekhabi, Nora
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