Related references
Note: Only part of the references are listed.Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations
Vahid Mohammadi et al.
ENGINEERING WITH COMPUTERS (2021)
An element-free Galerkin method for the obstacle problem
Xiaolin Li et al.
APPLIED MATHEMATICS LETTERS (2021)
A divergence-free generalized moving least squares approximation with its application
Vahid Mohammadi et al.
APPLIED NUMERICAL MATHEMATICS (2021)
A linearized element-free Galerkin method for the complex Ginzburg-Landau equation
Xiaolin Li et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2021)
Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
Vahid Mohammadi et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2021)
Jerky active matter: a phase field crystal model with translational and orientational memory
Michael te Vrugt et al.
NEW JOURNAL OF PHYSICS (2021)
The element-free Galerkin method based on moving least squares and moving Kriging approximations for solving two-dimensional tumor-induced angiogenesis model
Mehdi Dehghan et al.
ENGINEERING WITH COMPUTERS (2020)
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Pierluigi Colli et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2020)
Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains
Mehdi Dehghan et al.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE (2020)
Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: Element-free Galerkin method
Vahid Mohammadi et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)
On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models
Marvin Fritz et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2019)
Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth
Guillermo Lorenzo et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2019)
An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue
Mehdi Dehghan et al.
APPLIED MATHEMATICAL MODELLING (2018)
An accurate front capturing scheme for tumor growth models with a free boundary limit
Jian-Guo Liu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
Varun Shankar et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
A hybrid three-scale model of tumor growth
H. L. Rocha et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2018)
A RADIAL BASIS FUNCTION (RBF) COMPACT FINITE DIFFERENCE (FD) SCHEME FOR REACTION-DIFFUSION EQUATIONS ON SURFACES
Erik Lehto et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2017)
Spatiotemporal complexity of a discrete space-time predator-prey system with self- and cross-diffusion
Tousheng Huang et al.
APPLIED MATHEMATICAL MODELLING (2017)
Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
G. Lorenzo et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)
Error bounds for GMLS derivatives approximations of Sobolev functions
Davoud Mirzaei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2016)
Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Tissue-scale, personalized modeling and simulation of prostate cancer growth
Guillermo Lorenzo et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)
A Mathematical Model Coupling Tumor Growth and Angiogenesis
Jiangping Xu et al.
PLOS ONE (2016)
Formal asymptotic limit of a diffuse-interface tumor-growth model
Danielle Hilhorst et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2015)
MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH
Hyun Geun Lee et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2015)
Spatiotemporal dynamics of reaction-diffusion models of interacting populations
Lakshmi Narayan Guin et al.
APPLIED MATHEMATICAL MODELLING (2014)
Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns
Pia Domschke et al.
JOURNAL OF THEORETICAL BIOLOGY (2014)
The spatial patterns through diffusion-driven instability in a predator-prey model
Lakshmi Narayan Guin et al.
APPLIED MATHEMATICAL MODELLING (2012)
On generalized moving least squares and diffuse derivatives
Davoud Mirzaei et al.
IMA JOURNAL OF NUMERICAL ANALYSIS (2012)
Numerical simulation of a thermodynamically consistent four-species tumor growth model
Andrea Hawkins-Daarud et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING (2012)
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere
Natasha Flyer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2012)
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
S. M. Wise et al.
MATHEMATICAL AND COMPUTER MODELLING (2011)
Three-dimensional multispecies nonlinear tumor growth-II: Tumor invasion and angiogenesis
Hermann B. Frieboes et al.
JOURNAL OF THEORETICAL BIOLOGY (2010)
Three-dimensional multispecies nonlinear tumor growth - I - Model and numerical method
S. M. Wise et al.
JOURNAL OF THEORETICAL BIOLOGY (2008)
Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
A. Gerisch et al.
JOURNAL OF THEORETICAL BIOLOGY (2008)
Computer simulation of glioma growth and morphology
Hermann B. Frieboes et al.
NEUROIMAGE (2007)