Keywords: 05C15; 05C50; 05C85; 90C27; 65D25; 65F50; Grid coloring algorithm; Divide-and-conquer approach; Lipton-Tarjan separator; Stencil discretization; Derivative computation; Sparsity exploitation;
مقالات ISI (ترجمه نشده)
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High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)
Keywords: Normalized Riesz tempered derivative; (2,2) Padé approximation; Normalized Riemann-Liouville tempered derivative; 65A05; 65D15; 65D25; 65M06; 65M12;
Mimetic discretization of the Eikonal equation with Soner boundary conditions
Keywords: Eikonal equation; Mimetic gradient operators; Soner boundary conditions; Finite-differences; Quasi-Newton; Fast Marching method; 65M06; 65D25; 65M25; 65M99;
An improved PC scheme for nonlinear fractional differential equations: Error and stability analysis
Keywords: 26A33; 65D05; 65D25; 65D30; Predictor-corrector scheme; Fractional differential equation; Caputo derivative; Volterra integral equation;
A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
Keywords: Fractional derivative; Fractional optimal control problem; Caputo fractional derivative; 65D07; 65D25; 65D99;
A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
Keywords: Two-dimensional diffusion equations; Dirichlet boundary conditions; Polynomial approximation; Bernoulli polynomials; Operational matrices35E15; 35A35; 65D25; 65D30; 65L20
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations
Keywords: 65D25; 65N06; 65N12; 65N30; Weak derivatives; Numerical derivatives; Differential calculus; Discontinuous Galerkin finite elements; Linear and nonlinear PDEs; Numerical solutions;
Projector based integration of DAEs with the Taylor series method using automatic differentiation
Keywords: 65L80; 65J15; 65D25; 34A34Differential-algebraic equations; Automatic differentiation; Taylor series method; Newton–Kantorowitsch method
An algorithm for the finite difference approximation of derivatives with arbitrary degree and order of accuracy
Keywords: 65D25; 65L12; 68U99Numerical differentiation; Derivative approximation; Finite difference; Higher degree; Order of accuracy
Representation of the Lagrange reconstructing polynomial by combination of substencils
Keywords: 65D99; 65D05; 65D25; 65M06; 65M08Reconstruction; (Lagrangian) interpolation and reconstruction; Hyperbolic pdes; Finite differences; Finite volumes
Faster convergence and higher accuracy for the Dirichlet–Neumann map
Keywords: 65D25; 65E05; 65N35; 76D27Dirichlet–Neumann map; Integral equations; Nyström method; Potential theory; Fast multipole method
Quadratic spline quasi-interpolants and collocation methods
Keywords: 65D07; 65D25; 65N35; Spline approximants; Numerical differentiation; Spline collocation methods;
Numerical differentiation for the second order derivatives of functions of two variables
Keywords: 65D25; 47A52; 34B27Numerical differentiation; Tikhonov regularization; Green's function
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere
Keywords: 58J45; 65D25; 65M70; 76M22Radial basis functions; RBF; Shape parameter; Wendland functions; Sphere; Spherical harmonics; RBF-QR method
Polynomial approximation of CMCM functions by means of boundary values and applications: A survey
Keywords: 34B15; 41A10; 41A63; 65D05; 65D15; 65D25; 65D30; 65H05Polynomial approximation; Boundary value; Nonlinear equation; Differential boundary value problem; Numerical differentiation; Numerical integration; Multivariate approximation
Transport schemes on a sphere using radial basis functions
Keywords: 58J45; 41A21; 41A15; 41A63; 65D25; 65D30; 65M20; 65M70; 76M22; 86A10Radial basis functions; Hyperbolic PDEs; Spherical geometry; Mesh-free
Localized sampling in the presence of noise
Keywords: primary; 41A80; 41A30; secondary; 65D25; 65G99; 94A24Localized sampling; Noise; Average sampling; Jitter error; Amplitude error
Scattered node compact finite difference-type formulas generated from radial basis functions
Keywords: 41A21; 41A30; 41A63; 65D25; 65N06Radial basis functions; Partial differential equations; Finite difference method; Compact; Mehrstellenverfahren; Mesh-free
General explicit difference formulas for numerical differentiation
Keywords: 65D25; 15A06; 65L12; Numerical differentiation; Explicit finite difference formula; Generalized Vandermonde determinant; Taylor series; Higher derivatives;