Vector field approximation using radial basis functions
Keywords: توابع اولیه شعاعی; Vector field approximation; Radial basis functions; Runge phenomenon
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Evaluation of meshless radial basis collocation method (RBCM) for heterogeneous conduction and simulation of temperature inside the biological tissues
Keywords: توابع اولیه شعاعی; Meshless methods; Strong form collocation methods; Radial basis functions; Subdomain radial basis collocation method; Heterogeneous heat conduction; Bioheat transfer; Pennes bioheat equation; Average relative error
Bases for conditionally positive definite kernels
Keywords: توابع اولیه شعاعی; 41A05; 41063; 41065; 65D05; 65D15Kernels; Radial basis functions; Conditionally positive definite kernels; Unisolvent set
An offset-free neural controller based on a non-extrapolating scheme for approximating the inverse process dynamics
Keywords: توابع اولیه شعاعی; Intelligent control; Neuro-control; Neural networks; Inverse dynamics; Radial basis functions; Offset-free control;
Application of meshless local integral equations to two dimensional analysis of coupled non-Fick diffusion–elasticity
Keywords: توابع اولیه شعاعی; Non-Fick diffusion; Coupled problem; Wave propagation; Meshless local Petrov–Galerkin (MLPG) method; Local integral equations (LIEs); Radial basis functions
A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: Spectral-plus is special
Keywords: توابع اولیه شعاعی; Radial basis functions; Spectral methods; Interpolation; Error analysis; Sinc functions; Gaussian radial basis functions; RBFs
Quartic Gaussian and Inverse-Quartic Gaussian radial basis functions: The importance of a nonnegative Fourier transform
Keywords: توابع اولیه شعاعی; Radial basis functions; Spectral method
Assessment of remeshing and remapping strategies for large deformation elastoplastic Finite Element analysis
Keywords: توابع اولیه شعاعی; FEM; ALE; Spring Analogy Method; Radial Basis Functions; Inverse Distance Algorithm; Penetration
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
Keywords: توابع اولیه شعاعی; Meshfree method; Radial basis functions; Cubic nonlinear Schrödinger equation; Newton algorithm
Finite integration method for partial differential equations
Keywords: توابع اولیه شعاعی; Finite integral method; Radial basis functions; Partial differential equation; Partial differential equation with fractional order; Elasto-dynamics; Laplace transformation
Radial basis functions for inter-grid interpolation and mesh motion in FSI problems
Keywords: توابع اولیه شعاعی; Fluid-structure interaction; Energy-conservation; Non-matching grids; Radial basis functions
A robust finite element approach for large deformation elastoplastic plane-strain problems
Keywords: توابع اولیه شعاعی; FEM; ALE; Spring analogy method; Radial basis functions; Indentation; Penetration
A meshless method for the numerical computation of the solution of steady Burgers-type equations
Keywords: توابع اولیه شعاعی; Viscous Burgers equation; Meshless method; Global GMRES; Newtonʼs method; Krylov projection methods; Radial basis functions; Numerical analysis
Numerical solution of Klein–Gordon and sine-Gordon equations by meshless method of lines
Keywords: توابع اولیه شعاعی; Klein–Gordon equation; sine-Gordon equation; Meshless methods; Method of lines; Radial basis functions; Eigenvalue stability
Radial basis function method applied to doubly-curved laminated composite shells and panels with a General Higher-order Equivalent Single Layer formulation
Keywords: توابع اولیه شعاعی; A. Layered structures; B. Vibration; C. Numerical analysis; C. Computational modeling; Radial basis functions
Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods
Keywords: توابع اولیه شعاعی; Elastic-plastic torsion; Method of fundamental solutions; Radial basis functions; Deformation theory of plasticity; Work-hardening material; Picard iteration method;
Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
Keywords: توابع اولیه شعاعی; Meshfree method; Radial basis functions; Capillary formation; Tumor angiogenesis
The meshless kernel-based method of lines for the numerical solution of the nonlinear Schrödinger equation
Keywords: توابع اولیه شعاعی; NLS equation; Kernel based; Method of lines; Radial basis functions
Radial basis functions methods for solving Fokker-Planck equation
Keywords: توابع اولیه شعاعی; Meshless; Fokker-Planck equation; Radial basis functions;
Gaussian RBF-FD weights and its corresponding local truncation errors
Keywords: توابع اولیه شعاعی; Radial basis functions; Multiquadric; RBF-FD; Shape parameter
The radial basis integral equation method for solving the Helmholtz equation
Keywords: توابع اولیه شعاعی; Meshless methods; RBIEM; Helmholtz equation; Multigrid; Radial basis functions; Eigenfrequencies
Radial basis functions method for solving of a non-local boundary value problem with Neumann’s boundary conditions
Keywords: توابع اولیه شعاعی; Neumann’s boundary condition; Radial basis functions; Non-local boundary value problem
Local approximation of scalar functions on 3D shapes and volumetric data
Keywords: توابع اولیه شعاعی; Function approximation; Radial basis functions; Shape analysis; Spectral analysis
On the numerical solution of nonlinear Burgers’-type equations using meshless method of lines
Keywords: توابع اولیه شعاعی; Burgers’ equation; Burgers’–Huxley equation; Meshless methods; Method of lines; Radial basis functions; Runge–Kutta method
Automatic 80-250Â Hz “ripple” high frequency oscillation detection in invasive subdural grid and strip recordings in epilepsy by a radial basis function neural network
Keywords: توابع اولیه شعاعی; Epilepsy surgery; High frequency oscillations; Artificial neural network; Radial basis functions;
A new sequential optimal sampling method for radial basis functions
Keywords: توابع اولیه شعاعی; Metamodel; Sequential sampling; Radial basis functions; Model approximation;
Local mass conservative Hermite interpolation for the solution of flow problems by a multi-domain boundary element approach
Keywords: توابع اولیه شعاعی; Radial basis functions; Boundary elements; Hermite interpolation
CAD and mesh repair with Radial Basis Functions
Keywords: توابع اولیه شعاعی; Geometry processing; Hole filling algorithm; Radial Basis Functions; RBF; Surface remeshing; Surface parametrization; STL file format; Surface mapping; Harmonic map; Orthogonal Gradients method
On-line motion synthesis and adaptation using a trajectory database
Keywords: توابع اولیه شعاعی; Robot learning; Programming by demonstration; Real-time generalization of movements; Statistical methods; Gaussian process regression; Locally weighted regression; Dynamic movement primitives; Kinesthetic guiding; Example movements; Radial basis functions
A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions
Keywords: توابع اولیه شعاعی; Parabolic-type Volterra partial integro-differential equations; Radial basis functions; Generalized thin plate splines; Finite difference method; Composite trapezoidal integration method
A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains
Keywords: توابع اولیه شعاعی; Numerical partial differential equations; Advection–diffusion–reaction equations; Diffusion–reaction equations; Chemotaxis; Turing equations; Radial basis functions
A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: A comparative study
Keywords: توابع اولیه شعاعی; Non-Fickian flows; Radial basis functions; Cartesian nodes; Parabolic integro-differential equations
The orthogonal gradients method: A radial basis functions method for solving partial differential equations on arbitrary surfaces
Keywords: توابع اولیه شعاعی; Radial basis functions; RBF; Closest point method; Implicit surfaces; Level set method; Orthogonal gradients method; OGr method
Surrogate-enhanced simulation of aircraft in trimmed state
Keywords: توابع اولیه شعاعی; Surrogate modeling; Aircraft trim simulation; Mesh deformation; Control surface deflection; Radial basis functions; Complex-step derivative method
Robust estimation of surface properties and interpolation of shadow/specularity components
Keywords: توابع اولیه شعاعی; Polynomial texture mapping; Photometric stereo; Robust estimation; Shadows; Specular; Radial basis functions; Continuous interpolation
An interpolation tool for aerodynamic mesh deformation problems based on octree decomposition
Keywords: توابع اولیه شعاعی; Mesh motion; Octree decomposition; Radial basis functions
Radial basis functions for the solution of hypersingular operators on open surfaces
Keywords: توابع اولیه شعاعی; Boundary element method; Radial basis functions; Non-conforming method; Lagrangian multiplier
Optimal variable shape parameter for multiquadric based RBF-FD method
Keywords: توابع اولیه شعاعی; Radial basis functions; Multiquadric; Mesh-free; Shape parameter
A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions
Keywords: توابع اولیه شعاعی; Optimal control problem; Duffing oscillator; Radial basis functions; Collocation method; Gaussian RBF; Lagrange multipliers
LpLp Bernstein inequalities and inverse theorems for RBF approximation on RdRd
Keywords: توابع اولیه شعاعی; Bernstein inequalities; Inverse theorems; Radial basis functions
An enhanced clustering function approximation technique for a radial basis function neural network
Keywords: توابع اولیه شعاعی; Clustering; Function approximation; Radial basis functions
A Galerkin/neural approach for the stochastic dynamics analysis of nonlinear uncertain systems
Keywords: توابع اولیه شعاعی; Parameter uncertainties; Disordered systems; Non linear systems; Neural network; Radial basis functions; Galerkin methods
Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions
Keywords: توابع اولیه شعاعی; Volterra–Fredholm–Hammerstein; Collocation method; Radial basis functions; Legendre polynomials; Nonlinear integral equations
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere
Keywords: توابع اولیه شعاعی; Radial basis functions; RBF; Finite differences; RBF-FD; Hyperbolic PDEs; Spherical geometry
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs
Keywords: توابع اولیه شعاعی; Multi-GPU computing; Radial basis functions; RBF-FD; High-order finite differencing; Parallel computing; OpenCL;
Comparison of three spectral methods for the Benjamin–Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions
Keywords: توابع اولیه شعاعی; Benjamin–Ono equation; Pseudospectral method; Rational Chebyshev functions; Christov functions; Radial basis functions
Numerical solution of PDEs via integrated radial basis function networks with adaptive training algorithm
Keywords: توابع اولیه شعاعی; Radial basis functions; Approximation; Partial differential equation; Collocation
Modeling nonlinear waves in a numerical wave tank with localized meshless RBF method
Keywords: توابع اولیه شعاعی; Meshless; Radial basis functions; Local; Nonlinear; Wave; Simulation
Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory
Keywords: توابع اولیه شعاعی; Radial basis functions; Buckling; Meshless methods; Composite materials
Radial basis functions–finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami’s zig-zag theory
Keywords: توابع اولیه شعاعی; Radial basis functions; Finite differences; Zig-zag theory; Composites