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3D Genome Reconstruction from Partially Phased Hi-C Data
The 3-dimensional (3D) structure of the genome is of significant importance for many cellular processes. In this paper, we study the problem of...
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From Linear System of Equations to Artificial Intelligence—The Evolution Journey of Computer Tomographic Image Reconstruction Algorithms
In 1970, the use of a linear system of equations in the form of algebraic reconstruction technique (ART) was an initial step to be used as an...
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Reconstruction of pointwise sources in a time-fractional diffusion equation
This paper is concerned with an inverse pointwise source problem for the time-fractional diffusion equation in the two-dimensional case. The source...
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Superresolution of principal semi-algebraic sets
The Hölder continuity of the truncated moment map of a shade function in Euclidean space is established in the vicinity of a principal semi-algebraic...
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Hybrid regularized cone-beam reconstruction for axially symmetric object tomography
In this paper, we consider 3D tomographic reconstruction for axially symmetric objects from a single radiograph formed by cone-beam X-rays. All...
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Radon-based Image Reconstruction for MPI using a continuously rotating FFL
Magnetic particle imaging is a relatively new tracer-based medical imaging technique exploiting the non-linear magnetization response of magnetic...
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Reconstruction of the Time-Dependent Diffusion Coefficient in a Space-Fractional Parabolic Equation
We propose two algorithms for investigation the numerical reconstruction of the time-dependent diffusion coefficient in a space-fractional parabolic...
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Semi-algebraic Approximation Using Christoffel–Darboux Kernel
We provide a new method to approximate a (possibly discontinuous) function using Christoffel–Darboux kernels. Our knowledge about the unknown...
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Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front
AbstractA new approach to the reconstruction of a boundary condition in an inverse problem for a nonlinear singularly perturbed...
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Average block column action methods for solving least squares problems
The column action methods of algebraic iterative techniques play a pivotal role in the image reconstruction process. These methods converge to a...
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Regularized graph cuts based discrete tomography reconstruction methods
The topic of this paper includes graph cuts based computed tomography reconstruction methods in binary and multi-gray level cases. This approach...
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On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates
We deal with the numerical solution of linear partial differential equations (PDEs) with focus on the goal-oriented error estimates including...
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Constrained Total Variation Based Three-Dimension Single Particle Reconstruction in Cryogenic Electron Microscopy
The single particle reconstruction (SPR) in cryogenic electron microscopy is considered in this paper. This is an emerging technique for determining...
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AENO: a Novel Reconstruction Method in Conjunction with ADER Schemes for Hyperbolic Equations
In this paper, we present a novel spatial reconstruction scheme, called AENO , that results from a special averaging of the ENO polynomial and its...
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Semi-Lagrangian Subgrid Reconstruction for Advection-Dominant Multiscale Problems with Rough Data
We introduce a new framework of numerical multiscale methods for advection-dominated problems motivated by climate sciences. Current numerical...
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Mathematics and Numerics for Balance Partial Differential-Algebraic Equations (PDAEs)
We study systems of partial differential-algebraic equations (PDAEs) of first order. Classical solutions of the theory of hyperbolic partial...
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Deformation Technique of Unstructured Mesh Deformation to Find the Aerodynamic Characteristics of Bodies at Small Displacements
AbstractThe technique of the deformation of an unstructured hybrid mesh is presented to simulate the flow around solids performing small movements...
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A Pareto Front Numerical Reconstruction Strategy Applied to a Satellite System Conceptual Design
A satellite system conceptual design problem is addressed in this work. A multi-objective parametric optimization problem is formulated and...
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A numerical technique based on Legendre wavelet for linear and nonlinear hyperbolic telegraph equation
This study is devoted to the numerical investigation of linear and nonlinear hyperbolic telegraph equation. We have proposed a wavelet collocation...
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The Notion of Space in Grothendieck
In this essay we give a general picture about the evolution of Grothendieck’s ideas regarding the notion of space. Starting with his fundamental work...