A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces
出版年份 2014 全文链接
标题
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces
作者
关键词
Radial basis functions, Finite differences, Mesh-free, Manifolds, RBF-FD, Method-of-lines, Reaction–diffusion
出版物
JOURNAL OF SCIENTIFIC COMPUTING
Volume 63, Issue 3, Pages 745-768
出版商
Springer Nature
发表日期
2014-09-05
DOI
10.1007/s10915-014-9914-1
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method
- (2014) Varun Shankar et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
- A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces
- (2013) Edward J. Fuselier et al. JOURNAL OF SCIENTIFIC COMPUTING
- Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
- (2013) Elisabeth Larsson et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- A study of different modeling choices for simulating platelets within the immersed boundary method
- (2012) Varun Shankar et al. APPLIED NUMERICAL MATHEMATICS
- Stable calculation of Gaussian-based RBF-FD stencils
- (2012) Bengt Fornberg et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- The orthogonal gradients method: A radial basis functions method for solving partial differential equations on arbitrary surfaces
- (2012) Cécile Piret JOURNAL OF COMPUTATIONAL PHYSICS
- A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere
- (2012) Natasha Flyer et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates
- (2012) Edward Fuselier et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- (2012) Gregory E. Fasshauer et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Stable Computations with Gaussian Radial Basis Functions
- (2011) Bengt Fornberg et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- RBF-FD formulas and convergence properties
- (2010) Victor Bayona et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Adaptive meshless centres and RBF stencils for Poisson equation
- (2010) Oleg Davydov et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Stabilization of RBF-generated finite difference methods for convective PDEs
- (2010) Bengt Fornberg et al. JOURNAL OF COMPUTATIONAL PHYSICS
- The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems
- (2009) David Stevens et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A radial basis function method for the shallow water equations on a sphere
- (2009) N. Flyer et al. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes
- (2009) Donna A. Calhoun et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- (2009) Colin B. Macdonald et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- (2007) Bengt Fornberg et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationFind the ideal target journal for your manuscript
Explore over 38,000 international journals covering a vast array of academic fields.
Search