High-order fractional partial differential equation transform for molecular surface construction
type: Item
instance of: scholarly article
title: High-order fractional partial differential equation transform for molecular surface construction
zbMATH Open document ID: 1277.35338
author: Langhua Hu
author: Duan Chen
author: G. W. Wei
publication date: 2013-12-05T00:00:00Z
full work available at URL: pmc3869418
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6235795
zbMATH Keywords: molecular surface generation
zbMATH Keywords: high order fractional derivatives
zbMATH Keywords: fractional calculus
zbMATH Keywords: fractional PDE transform
describes a project that uses: PDB2PQR
describes a project that uses: MIBPB
MaRDI profile type: Publication
OpenAlex ID: W2082422244
cites work: Formulation of Euler-Lagrange equations for fractional variational problems
cites work: Geometric and potential driving formation and evolution of biomolecular surfaces
cites work: Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
cites work: Geodesic active contours
cites work: Image recovery via total variation minimization and related problems
cites work: High-Order Total Variation-Based Image Restoration
cites work: Modeling and simulation of electronic structure, material interface and random doping in nano-electronic devices
cites work: A Fourier method for the fractional diffusion equation describing sub-diffusion
cites work: Differential geometry based solvation model. I: Eulerian formulation
cites work: Differential geometry based solvation model II: Lagrangian formulation
cites work: A General Structure Tensor Concept and Coherence-Enhancing Diffusion Filtering for Matrix Fields
cites work: Multiscale molecular dynamics using the matched interface and boundary method
cites work: Q2741107
cites work: \(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing.
cites work: Traveling Wave Solutions of Fourth Order PDEs for Image Processing
cites work: Two enhanced fourth order diffusion models for image denoising
cites work: Well-posedness for a class of fourth order diffusions for image processing
cites work: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
cites work: Strong solutions for the generalized Perona-Malik equation for image restoration
cites work: Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
cites work: On Mittag-Leffler-type functions in fractional evolution processes
cites work: Fractional Calculus, Anomalous Diffusion, and Probability
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Optimal approximations by piecewise smooth functions and associated variational problems
cites work: Level set methods: An overview and some recent results
cites work: Feature-Oriented Image Enhancement Using Shock Filters
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Nonlinear total variation based noise removal algorithms
cites work: Q4890494
cites work: Evolution, implementation, and application of level set and fast marching methods for advancing fronts
cites work: A general framework for low level vision
cites work: Mode decomposition evolution equations
cites work: Differential geometry based multiscale models
cites work: ADI schemes for higher-order nonlinear diffusion equations.
cites work: Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
cites work: Fourth-order partial differential equations for noise removal
cites work: Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
cites work: Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
cites work: Fractional kinetic equation for Hamiltonian chaos
cites work: Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow
cites work: Quality meshing of implicit solvation models of biomolecular structures
cites work: High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
cites work: Second-order Poisson-Nernst-Planck solver for ion transport
cites work: Biomolecular surface construction by PDE transform
cites work: On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
cites work: High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
DOI: 10.2478/MLBMB-2012-0001
published in: Molecular Based Mathematical Biology
description: scientific article; zbMATH DE number 6235795