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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry

open access: yesSelecciones Matemáticas
Calculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial ...
Delphin Mwinken
doaj   +1 more source

Interpretable Solutions for Multi-Physics PDEs Using T-NNGP [PDF]

open access: yes
Multiphysics simulation aims to predict and understand interactions between multiple physical phenomena, aiding in comprehending natural processes and guiding engineering design.
Tan, Kay Chen   +3 more
core   +1 more source

Exact Solutions for Real and Complex Nonlinear Partial Differential Equations in Engineering Using a Modified Homotopy Perturbation Method

open access: yesEngineered Science
Nonlinear partial differential equations (PDEs) play a fundamental role in modeling complex phenomena in physics and engineering. However, solving them analytically and numerically remains challenging due to divergence, slow convergence, and ...
Osama Alkhazaleh   +2 more
doaj   +1 more source

Expanding Genomics of Mycorrhizal Symbiosis

open access: yesFrontiers in Microbiology, 2014
The mycorrhizal symbiosis between soil fungi and plant roots is a ubiquitous mutualism that plays key roles in plant and soil health, and carbon and nutrient cycles. The symbiosis evolved repeatedly and independently as multiple morphological types (e.g.
Alan eKuo   +3 more
doaj   +1 more source

Fundamental Solutions of PDEs as Radial Basis Functions in Multivariate Interpolation

open access: yesComputational Methods in Applied Mathematics, 2007
AbstractFor bivariate and trivariate interpolation we propose in this paper a set of integrable radial basis functions (RBFs). These RBFs are found as fundamental solutions of appropriate PDEs and they are optimal in a special sense. The condition number of the interpolation matrices as well as the order of convergence of the inter- polation are ...
openaire   +2 more sources

Fundamental Solutions for the Coupled KdV System and Its Stability [PDF]

open access: yes, 2020
In this paper, we establish exact solutions for the non-linear coupled KdV equations. The exp-function method is used to construct the solitary travelling wave solutions for these equations. The numerical adaptive moving mesh PDEs (MMPDEs) method is also
M. B. Almatrafi   +2 more
core   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir   +2 more
wiley   +1 more source

Homogeneous Observer Design for Finite-dimensional projections of Homogeneous PDEs [PDF]

open access: yes, 2021
Sufficient conditions for existence and uniqueness of solutions for a coupled system of homogeneous equations defining dynamics of the gain and observer for ODEs obtained as a Galerkin projection of homogeneous PDEs are proposed. The conditions rely upon
Polyakov, Andrey, Zhuk, Sergiy
core  

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

open access: yesAdvanced 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
wiley   +1 more source

Portopulmonary hypertension practice patterns after liver transplantation

open access: yesLiver 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
wiley   +1 more source

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