Keywords: ریچاردسون استخراج; Complete blow-up; Instantaneous blow-up; Test function; Global unsolvability; Local solvability; Richardson extrapolation;
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Keywords: ریچاردسون استخراج; Chemical reaction system; Order reduction; Richardson extrapolation; Splitting methods; Stiffness;
Keywords: ریچاردسون استخراج; Hyperpolarizability; Finite field methods; Richardson extrapolation; Error reduction; Quantitative structure property relationships;
Keywords: ریچاردسون استخراج; Richardson extrapolation; Cascadic multigrid; Convergence; Optimality; Elliptic equation;
Keywords: ریچاردسون استخراج; Fourth-order nonlinear elliptic boundary value problem; Compact finite difference method; Error estimate; Richardson extrapolation;
Keywords: ریچاردسون استخراج; Richardson extrapolation; Cascadic multigrid method; Elliptic equation; Quadratic FE interpolation; High efficiency;
Keywords: ریچاردسون استخراج; Fractional convection-reaction-diffusion equation; Variable coefficient; Compact difference method; Richardson extrapolation; High-order convergence; 65M06; 65M12; 65M15; 35R11;
Keywords: ریچاردسون استخراج; Finite difference; Richardson extrapolation; Helmholtz equation
Keywords: ریچاردسون استخراج; Singularly perturbed turning point problem; Boundary layer; Upwind scheme; Richardson extrapolation; Shishkin mesh; Error expansion
Keywords: ریچاردسون استخراج; Meshless; Radial basis functions; RBF local; Advection; Finite collocation; Shock capturing; Richardson extrapolation;
Keywords: ریچاردسون استخراج; Random fractional differential equations; Polynomial Chaos; Random inputs; Uncertainty; Richardson extrapolation
Keywords: ریچاردسون استخراج; Multiscale multigrid method; Multiple coarse grids; Richardson extrapolation; Higher order solution;
Keywords: ریچاردسون استخراج; Sensitivity analysis; Equation-based approach; Simulation-based design; Richardson extrapolation; Integrated inductor design; Inductor π-model and double π-model
Keywords: ریچاردسون استخراج; Stability of functionally graded beams; Method of initial parameters in differential form; Richardson extrapolation
On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes
Keywords: ریچاردسون استخراج; Runge-Kutta; Wave propagation; Richardson extrapolation; Optimal schemes; Computational acoustics; Dissipation and dispersion;
Uncertainty Quantification method for CFD applied to the turbulent mixing of two water layers
Keywords: ریچاردسون استخراج; ASME; American Society of Mechanical Engineers; BC; Boundary Condition; BPGs; Best Practice Guidelines; CFD; Computational Fluid Dynamics; CFD-UQ; Computational Fluid Dynamics - Uncertainty Quantification; CPU; Central Processing Unit; DS; Deterministic
A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions
Keywords: ریچاردسون استخراج; Fractional sub-diffusion equation; Neumann boundary condition; Compact ADI method; Finite difference scheme; Error estimate; Richardson extrapolation;
Fast computational approach to the Delta Greek of non-linear Black-Scholes equations
Keywords: ریچاردسون استخراج; Delta Greek; Finite difference scheme; Monotonicity; Convergence; Two-grid method; Richardson extrapolation;
Stability of the Richardson Extrapolation combined with some implicit Runge-Kutta methods
Keywords: ریچاردسون استخراج; 65L05; 65L06; 65L04; Systems of ODEs; Implicit Runge-Kutta methods; Richardson Extrapolation; Stability properties; Atmospheric chemical scheme;
An alternate stable midpoint quadrature to improve the element stiffness matrix of quadrilaterals for application of functionally graded materials (FGM)
Keywords: ریچاردسون استخراج; Quadrilateral element; Stiffness matrices; FGM; Richardson extrapolation; Hourglass instability; Patch test; Error estimation;
Higher order ADI method with completed Richardson extrapolation for solving unsteady convection–diffusion equations
Keywords: ریچاردسون استخراج; Unsteady convection–diffusion equation; Richardson extrapolation; ADI method; Higher order compact scheme; Stability analysis
Blow-up for one Sobolev problem: Theoretical approach and numerical analysis
Keywords: ریچاردسون استخراج; Global unsolvability; Test function; Local solvability; Contracting mapping; Richardson extrapolation
Efficient numerical Fourier methods for coupled forward–backward SDEs
Keywords: ریچاردسون استخراج; 91G60; 60H35; 65C30; 65T50; 60E10; 65B05Fourier-cosine expansion method; Characteristic function; Coupled forward–backward stochastic differential equations; Richardson extrapolation; Second-order convergence; Cross-hedging
A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations
Keywords: ریچاردسون استخراج; Modified anomalous fractional sub-diffusion equation; Compact LOD method; Finite difference scheme; Error estimate; Richardson extrapolation
Polynomial interpolation with repeated Richardson extrapolation to reduce discretization error in CFD
Keywords: ریچاردسون استخراج; Richardson extrapolation; Discretization error; Polynomial interpolation; Poisson equation; Burgers equation; Navier-Stokes equation;
The control volume radial basis function method CV-RBF with Richardson extrapolation in geochemical problems
Keywords: ریچاردسون استخراج; Hermite radial basis functions; RBF; Richardson extrapolation; Chemical equilibrium; Kinetics; Groundwater flow;
On a Numerov–Crank–Nicolson–Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
Keywords: ریچاردسون استخراج; Time-dependent Schrödinger equation; Numerov discretization in space; Crank–Nicolson discretization in time; Strang splitting; Richardson extrapolation; Discrete transparent boundary conditions; Uniqueness; Stability; Error estimate; Tunnel effect; Practi
Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options
Keywords: ریچاردسون استخراج; Option pricing; American option; Meshless weak form; LBIE; MLS; LRPI; Richardson extrapolation; BCGSTAB; Stability analysis;
Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation
Keywords: ریچاردسون استخراج; SRLW equation; Conservative difference scheme; Richardson extrapolation; Stability; Convergence
Studying absolute stability properties of the Richardson Extrapolation combined with explicit Runge-Kutta methods
Keywords: ریچاردسون استخراج; Explicit Runge-Kutta methods; Richardson Extrapolation; Absolute stability regions; Accuracy; Numerical experiments;
Application of Richardson extrapolation for multi-dimensional advection equations
Keywords: ریچاردسون استخراج; Multi-dimensional advection; Crank-Nicolson numerical scheme; Richardson extrapolation; Order of accuracy;
A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations
Keywords: ریچاردسون استخراج; Parabolic differential equation; Finite difference method; Compact locally one-dimensional method; Error estimate; Richardson extrapolation
Richardson extrapolation-based sensitivity analysis in the multi-objective optimization of analog circuits
Keywords: ریچاردسون استخراج; Sensitivity analysis; Circuit optimization; Evolutionary algorithms; Richardson extrapolation; Analog integrated circuits
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction–diffusion parabolic problems
Keywords: ریچاردسون استخراج; Singularly perturbed problem; Reaction–diffusion parabolic problem; Hybrid HODIE method; Special meshes; Richardson extrapolation; High order uniform convergence
Computational fluid dynamics (CFD) mesh independency techniques for a straight blade vertical axis wind turbine
Keywords: ریچاردسون استخراج; Straight blade vertical axis wind turbine (SB-VAWT); Darrieus turbines; Grid independency; Computational fluid dynamics modelling; Richardson Extrapolation
Lattice Boltzmann simulations of a time-dependent natural convection problem
Keywords: ریچاردسون استخراج; Thermal lattice Boltzmann method; Double distribution function; Time-dependent natural convection; Richardson extrapolation; Convergence study
Repeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square grids
Keywords: ریچاردسون استخراج; Richardson extrapolation; Discretization error; Triangular grid; Finite volume; Order of accuracy; Verification
Analysis on two approaches for high order accuracy finite difference computation
Keywords: ریچاردسون استخراج; Elliptic partial differential equations; Finite difference scheme; Richardson extrapolation; Fourth order compact scheme
Efficient exponential compact higher order difference scheme for convection dominated problems
Keywords: ریچاردسون استخراج; Exponential scheme; Compact higher order scheme; Richardson extrapolation; Artificial diffusion
Error and extrapolation of a compact LOD method for parabolic differential equations
Keywords: ریچاردسون استخراج; 65M06; 65M12; 65M15Parabolic differential equation; Finite difference method; Compact locally one-dimensional method; Error estimate; Richardson extrapolation
Maximum norm error estimates of efficient difference schemes for second-order wave equations
Keywords: ریچاردسون استخراج; 65M06; 65M12; 65M15Second-order wave equation; Explicit scheme; ADI scheme; Discrete energy method; Asymptotic expansion; Richardson extrapolation
Explicit stress integration with error control for the Barcelona Basic Model: Part I: Algorithms formulations
Keywords: ریچاردسون استخراج; Explicit stress integration; Richardson extrapolation; Runge–Kutta methods; Unsaturated soils; Barcelona Basic Model; Elasto-plasticity
A high order finite difference method with Richardsonextrapolation for 3D convection diffusion equation
Keywords: ریچاردسون استخراج; 3D convection diffusion equation; High order compact scheme; Richardson extrapolation; ADI method; Finite difference method
Stability of the Richardson Extrapolation applied together with the θθ-method
Keywords: ریچاردسون استخراج; Systems of ordinary differential equations; Numerical methods; Richardson Extrapolation; Stability; Atmospheric chemistry scheme
Fast and robust sixth-order multigrid computation for the three-dimensional convection–diffusion equation
Keywords: ریچاردسون استخراج; 65N06; 65N55; 65F10Convection–diffusion equation; Reynolds number; Multigrid method; Richardson extrapolation; Sixth-order compact scheme
Explicit stress integration with error control for the Barcelona Basic Model.: Part II: Algorithms efficiency and accuracy
Keywords: ریچاردسون استخراج; Explicit stress integration; Richardson extrapolation; Runge–Kutta methods; Unsaturated soils; Barcelona Basic Model; Elasto-plasticity
Efficient implementation of stable Richardson Extrapolation algorithms
Keywords: ریچاردسون استخراج; Richardson Extrapolation; Stability; Backward Euler Formula; Trapezoidal rule; Sparse matrix technique; Atmospheric chemistry scheme
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
Keywords: ریچاردسون استخراج; 65F30; 65F50; 65N35; 65F10Kronecker products; Tucker tensor decomposition; Canonical tensors; Multidimensional convolution; FFT; Collocation–projection method; Richardson extrapolation; Composite grids
Discretization errors in molecular dynamics simulations with deterministic and stochastic thermostats
Keywords: ریچاردسون استخراج; Numerical integrator; Configurational temperature; Diffusion coefficient; Debye relaxation time; Radial distribution function; Nosé–Hoover thermostat; Langevin thermostat; Backward error analysis; Richardson extrapolation
Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation
Keywords: ریچاردسون استخراج; 65N06; 65N55; 65F10Poisson equation; Compact difference scheme; Multigrid method; Richardson extrapolation