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Radiation of water waves by a submerged nearly circular plate
(Journal of Computational and Applied Mathematics, 20160101)A thin nearly circular plate is submerged below the free surface of deep water. The problem is reduced to a hypersingular integral equation over the surface of the plate which is conformally mapped onto the unit disc. The ... 
Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations
(Bioinformatics and Biomedical Engineering, Springer, 201905)The present study aims at evaluating the effects of target nerve location from the bone tissue during continuous radiofrequency ablation (RFA) for chronic pain relief. A generalized threedimensional heterogeneous computational ... 
Random diffusivity from stochastic equations: comparison of two models for Brownian yet nonGaussian diffusion
(New Journal of Physics, 201804)A considerable number of systems have recently been reported in which Brownian yet nonGaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the ... 
Random numbers from the tails of probability distributions using the transformation method
(Fractional Calculus and Applied Analysis, 20131231)The speed of many oneline transformation methods for the production of, for example, Lévy alphastable random numbers, which generalize Gaussian ones, and MittagLeffler random numbers, which generalize exponential ones, ... 
RandomFront 2.3 A physical parametrisation of firespotting for operational fire spread models: Implementation in WRFSfire and response analysis with LSFire+
(Geoscientific Model Development, 201812)Firespotting is often responsible for a dangerous flare up in the wildfire and causes secondary ignitions isolated from the primary fire zone leading to perilous situations. The main aim of the present research to provide ... 
An RBFFD closest point method for solving PDEs on surfaces
(Journal of Computational Physics, 2018)Partial differential equations (PDEs) on surfaces appear in many applications throughout the natural and applied sciences. The classical closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):19431961, ... 
Reconstruction from boundary measurements for less regular conductivities
(20161001)In this paper, following Nachman's idea [14] and Haberman and Tataru's idea [9], we reconstruct $C^1$ conductivity $\gamma$ or Lipchitz conductivity $\gamma$ with small enough value of $\nabla log\gamma$ in a Lipschitz ... 
Reconstruction of the Derivative of the Conductivity at the Boundary
(201908)We describe a method to reconstruct the conductivity and its normal derivative at the boundary from the knowledge of the potential and current measured at the boundary. This boundary determination implies the uniqueness ... 
Recovery of an initial temperature from discrete sampling
(Mathematical Models and Methods in Applied Sciences, 20141231)The problem of recovering the initial temperature of a body from discrete temperature measurements made at later times is studied. While this problem has a general formulation, the results of this paper are only given in ... 
Red refinements of simplices into congruent subsimplices
(Computers and Mathematics with Applications, 20141231)We show that in dimensions higher than two, the popular "red refinement" technique, commonly used for simplicial mesh refinements and adaptivity in the finite element analysis and practice, never yields subsimplices which ... 
Reduced description method in the kinetic theory of Brownian motion with active fluctuations
(Journal of Physics A: Mathematical and Theoretical, 20190901)We develop a microscopic approach to the kinetic theory of manyparticle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov–Peletminskii ... 
Reducing variability in the cost of energy of ocean energy arrays
(Renewable and Sustainable Energy Reviews, 201909)Variability in the predicted cost of energy of an ocean energy converter array is more substantial than for other forms of energy generation, due to the combined stochastic action of weather conditions and failures. If the ... 
Reexamination of continuous fuzzy measurement on twolevel systems
(PHYSICAL REVIEW A, 20170410)Imposing restrictions on the Feynman paths of the monitored system has in the past been proposed as a universal modelfree approach to continuous quantum measurements. Here we revisit this proposition and demonstrate that ... 
Refined Isogeometric Analysis for a Preconditioned Conjugate Gradient Solver
(Computer Methods in Applied Mechanics and Engineering, 20180615)Starting from a highly continuous Isogeometric Analysis (IGA) discretization, refined Isogeometric Analysis (rIGA) introduces $C^0$ hyperplanes that act as separators for the direct LU factorization solver. As a result, ... 
Refined Isogeometric Analysis for fluid mechanics and electromagnetism
(Computer Methods in Applied Mechanics and Engineering, 201903)Starting from a highly continuous isogeometric analysis discretization, we introduce hyperplanes that partition the domain into subdomains and reduce the continuity of the discretization spaces at these hyperplanes. As the ... 
REFINED ISOGEOMETRIC ANALYSIS: A SOLVERBASED DISCRETIZATION METHOD
(20180622)Isogeometric analysis (IGA) is a computational approach frequently employed nowadays to study problems governed by partial differential equations (PDEs). This approach defines the geometry using conventional computeraided ... 
Regions of prevalence in the coupled restricted threebody problems approximation
(Communications in Nonlinear Science and Numerical Simulation, 20121231)This work concerns the role played by a couple of the planar circular restricted threebody problem in the approximation of the bicircular model. The comparison between the differential equations governing the dynamics ... 
Regularity issues for the nullcontrollability of the linear 1d heat equation
(Systems and Control Letters, 20111231)The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T>0 and from any open subset of the boundary is well known. On the other hand, numerical experiments show ... 
Regularity of fractional maximal functions through Fourier multipliers
(2018)We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions $n \geq 2$. We also show that the spherical fractional maximal function ... 
Regularity of solutions to a model for solidsolid phase transitions driven by configurational forces
(Journal of Mathematical Analysis and Applications, 20121231)In a previous work, we prove the existence of weak solutions to an initialboundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity ...