Results 91 to 100 of about 85,369,012 (181)
This paper addresses the inverse problem of reconstructing complete steady-state solutions for elliptic partial differential equations when boundary information is incomplete a situation common in electromagnetic, thermal, and geophysical modeling where ...
ABBAS ALDNADOI
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Neutrophils: Heterogeneity, Biology, Diseases, and Therapeutic Strategies
Neutrophils exhibit remarkable functional plasticity and play dual roles in tissue protection and disease progression. This review summarizes their key biological functions and highlights the shift from conventional broad‐spectrum interventions to neutrophil‐based drug delivery systems.
Yibing Zhang +4 more
wiley +1 more source
Statistical inference for inverse problems [PDF]
In this paper we study statistical inference for certain inverse problems. We go beyond mere estimation purposes and review and develop the construction of confidence intervals and confidence bands in some inverse problems, including deconvolution and ...
Bissantz, Nicolai, Holzmann, Hajo
core
A multiscale approach for inverse problems
We extend the hierarchical decomposition of an image as a sum of constituents of different scales, introduced by Tadmor, Nezzar and Vese in 2004, to a general setting.
Rondi, Luca
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A model-based method has been developed for the performance simulation and conceptual design of rocket-type pulse detonation engines (PDEs). A reduced-order model (ROM) has been generated based on the high order singular value decomposition of a data ...
Luis Sánchez de León +3 more
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Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
wiley +1 more source
A Level Set Method on Particle Flow Maps
ABSTRACT Accurate interface tracking is central to numerical simulations involving moving boundaries, including multiphase flows, free‐surface dynamics, phase‐change problems, and other interface‐driven processes in computational mechanics. Although, level set methods provide a flexible implicit representation of evolving interfaces, their grid‐based ...
Jinjin He +5 more
wiley +1 more source
Infinite-dimensional inverse problems with finite measurements
In this talk I will discuss how ideas from applied harmonic analysis, in particular sampling theory and compressed sensing, may be applied to inverse problems for partial differential equations.
Santacesaria, Matteo
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Over the past decade, scientific machine learning has transformed the development of mathematical and computational frameworks for analyzing, modeling, and predicting complex systems.
Matthias Chung +5 more
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LocRes–PINN: A Physics–Informed Neural Network with Local Awareness and Residual Learning
Physics–Informed Neural Networks (PINNs) have demonstrated efficacy in solving both forward and inverse problems for nonlinear partial differential equations (PDEs).
Tangying Lv +6 more
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