Results 71 to 80 of about 11,826,715 (309)

Fundamental Solutions for Periodic Media [PDF]

Advances in Mathematical Physics, 2014
Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media with uniformly distributed microcracks or dislocations.
openaire   +3 more sources

A quasi-RBF technique for numerical discretization of PDE's [PDF]

, 2002
Atkinson developed a strategy which splits solution of a PDE system into homogeneous and particular solutions, where the former have to satisfy the boundary and governing equation, while the latter only need to satisfy the governing equation without ...
Chen, W.
core   +1 more source

Time-fractional equations with reaction terms: fundamental solutions and asymptotics

, 2019
We analyze the fundamental solution of a time-fractional problem, establishing existence and uniqueness in an appropriate functional space. We also focus on the one-dimensional spatial setting in the case in which the time-fractional exponent is equal ...
Dipierro, Serena, Pellacci, Benedetta, Valdinoci, Enrico, Verzini, Gianmaria   +3 more
core   +1 more source

Eigenfunction expansions for a fundamental solution of Laplace’s equation on R3 in parabolic and elliptic cylinder coordinates [PDF]

, 2012
A fundamental solution of Laplace’s equation in three dimensions is expanded in harmonic functions that are separated in parabolic or elliptic cylinder coordinates.
H. Cohl, H. Volkmer
semanticscholar   +1 more source

Radiotherapy Delivery in Deep Inspiration for Pediatric Patients—Final Results of the Phase II Feasibility Study TEDDI

Pediatric Blood &Cancer, EarlyView.
Abstract Introduction The TEDDI trial tested the feasibility and reproducibility of deep‐inspiration breath‐hold (DIBH) in pediatric patients referred for radiotherapy. This report presents final results, including patient‐reported outcomes (PRO) and dosimetric comparison of DIBH and free‐breathing (FB).
Daniella Elisabet Østergaard, Anni Young Lundgaard, Laura Ann Rechner, Danijela Dejanovic, Hanne Krogh Rose, Jolanta Hansen, Leila Vaalavirta, Miia Mokka, Marianne Aznar, Peder Skov Wehner, Lisa Lyngsie Hjalgrim, Maja Vestmø Maraldo   +11 more
wiley   +1 more source

Alfven Wave Collisions, The Fundamental Building Block of Plasma Turbulence II: Numerical Solution

, 2013
This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfven waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived
Dorland, William, Howes, Gregory G., Nielson, Kevin D.   +2 more
core   +1 more source

Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation [PDF]

, 2012
In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior.
H. Cohl
semanticscholar   +1 more source

Predicting Chronicity in Children and Adolescents With Newly Diagnosed Immune Thrombocytopenia at the Timepoint of Diagnosis Using Machine Learning‐Based Approaches

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser, Alice Bizeul, Meera Chitlur, Hugo Donato, Jelena Roganovic, Julia E. Vogt, Thomas Kühne   +6 more
wiley   +1 more source

Fundamental solution of the steady oscillations equations in couple stress micropolar viscoelastic thermoelastic solid

International Journal of Applied Mechanics and Engineering
In this article, we study case of steady oscillations to solve the system of differential equations by using elementary functions in the theory of microploar couple stress viscoelastic solid .
Ravinder Kumar Sahrawat, Sonam Rani
doaj   +1 more source

Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles

, 2014
The fundamental solution of the Laplacian on flat tori is obtained using Eisenstein’s approach to elliptic functions via infinite series over lattices in the complex plane.
M. Mamode
semanticscholar   +1 more source