Results 11 to 20 of about 423 (186)
A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs
, 2022 We introduce a Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in two spatial variables. PIEs are an algebraic state-space representation of infinite-dimensional systems and have been used to model 1D PDEs and time-
Peet, Matthew M., Jagt, Declan S.
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$L_2$-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities
, 2022 In this paper, we present a new method for estimating the $L_2$-gain of systems governed by 2nd order linear Partial Differential Equations (PDEs) in two spatial variables, using semidefinite programming.
Peet, Matthew M., Jagt, Declan S.
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, 2023 International audienceWe study epidemic models where the infectivity of each individual is a random function of the infection age (the elapsed time of infection).
Pardoux, Étienne, Pang, Guodong
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Initial and boundary value problems in two and three dimensions
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
Fokas, Athanassios +1 more
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Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
, 2020 Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decaying slowly and subject to certain power law. Their numerical solutions are underexplored.
Zhou, Tao +3 more
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Probabilistic approach to non-local equations [PDF]
, 2021 The work focuses on probabilistic representation of solutions of non-local equations, where the considered non-local operators are either Caputo-type derivatives or trasformations of the Laplace operator via Bernstein functions.
Ascione, Giacomo
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Portopulmonary hypertension practice patterns after liver transplantation
Liver Transplantation, EarlyView., 2022 Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
Multi-scale physical representations for approximating pde solutions with graph neural operators
, 2022 International audienceRepresenting physical signals at different scales is among the most challenging problems in engineering. Several multi-scale modeling tools have been developed to describe physical systems governed by Partial Differential Equations (
Migus, Leon +3 more
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