Keywords: روش های متمایز محدود; Error indicators; Finite difference methods;
مقالات ISI روش های متمایز محدود (ترجمه نشده)
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Keywords: روش های متمایز محدود; Numerical stability; Partial differential equations; Finite difference methods; Skew-symmetric differentiation matrices; Order conditions;
Keywords: روش های متمایز محدود; Mimetic methods; Finite difference methods; Conservative methods; Steady-state diffusion equation; Boundary layer;
Keywords: روش های متمایز محدود; Burgers' equation; Splitting methods; Near-integrable systems; Finite difference methods;
Keywords: روش های متمایز محدود; Pin power reconstruction; Nodal calculation; Finite element methods; Finite difference methods;
Keywords: روش های متمایز محدود; Finite difference methods; Summation-by-parts; High order accuracy; Dual consistency; Superconvergence; Interfaces;
Keywords: روش های متمایز محدود; Finite difference methods; High-order accuracy; Stability; Boundary treatment; Projection method;
Keywords: روش های متمایز محدود; Finite difference methods; High-order derivative; High order accuracy; Stability; Boundary treatment; Flexural-gravity waves;
Keywords: روش های متمایز محدود; Nonlinear acoustics; Finite difference methods; WENO-Z methods; Thermoviscous media; Perfectly matched layers; GPUs;
Keywords: روش های متمایز محدود; Concrete carbonation chemical corrosion; Free boundary problems; Nonlinear PDE system; Numerical analysis; Finite difference methods;
Keywords: روش های متمایز محدود; Numerical approximation of solutions; Finite difference methods; Navier-Stokes equations; Asymptotic behavior of solutions; Bifurcation;
Keywords: روش های متمایز محدود; Magnetohydrodynamics; Finite difference methods; Godunov scheme; Numerical schemes;
Keywords: روش های متمایز محدود; Iterative methods for linear systems; Jacobi method; Richardson method; Scheduled relaxation Jacobi method; Finite difference methods; Elliptic equations;
Keywords: روش های متمایز محدود; American option pricing; Finite difference methods; Laplace transform methods; Partial differential equations; Fractional partial differential equations;
Keywords: روش های متمایز محدود; Uranium carbide; Diffusion; Oxidation; Finite difference methods; Moving boundary problem;
Keywords: روش های متمایز محدود; Elasticity theory; Thermal-residual stress; Functionally graded materials; Finite difference methods; Temperature-dependent material properties;
Keywords: روش های متمایز محدود; American option pricing; Regime switching; Front-fixing transformation; Free boundary; Finite difference methods; Numerical analysis
Keywords: روش های متمایز محدود; Interest rates derivatives; Option pricing and hedging; PDE; Finite difference methods; Computational finance
Keywords: روش های متمایز محدود; Time fractional Fokker-Planck equations; Finite difference methods; Monotone convergence;
Keywords: روش های متمایز محدود; 65M06; 92-08; 92C99Time dependent partial differential equations; Finite difference methods; Velocity-based moving meshes; Mass conservation
Keywords: روش های متمایز محدود; Finite Difference Methods; Finite Element Methods; Convection–diffusion–reaction; Non-uniform grid; Singular perturbation
Keywords: روش های متمایز محدود; Fictitious domain methods; Penalization; Robin boundary conditions; Finite difference methods;
Keywords: روش های متمایز محدود; Finite difference methods; High-order derivative; High-order accuracy; Stability; Boundary treatment; Dynamic beam equation
Keywords: روش های متمایز محدود; Complex step derivative approximation; Tangent modulus; Hyperelastic materials; Constitutive modeling; Finite difference methods
Keywords: روش های متمایز محدود; Free boundary model; Parabolic problems; Finite difference methods; Corrosion; Copper; Brochantite
Keywords: روش های متمایز محدود; Bi-variate population balance systems; Direct discretizations; Finite difference methods; Accuracy of numerical results
Keywords: روش های متمایز محدود; Finite difference methods; High-order derivative; High-order accuracy; Stability; Boundary treatment; Nonlinear waves
Keywords: روش های متمایز محدود; Meshless methods; Finite difference methods; Radial basis functions; System of PDEs; Epidemiological models; Influenza
Keywords: روش های متمایز محدود; Navier-Stokes equations; Finite difference methods; Instability of boundary layers; Direct numerical simulations; Supersonic and hypersonic flows; Chemically reactive flows; Viscosity, diffusion, and thermal conductivity; Thermodynamic properties, equat
Boundary optimized diagonal-norm SBP operators
Keywords: روش های متمایز محدود; Finite difference methods; Boundary treatment; High order accuracy; Stability; Euler equations;
Discrete exterior calculus approach for discretizing Maxwell's equations on face-centered cubic grids for FDTD
Keywords: روش های متمایز محدود; Finite difference methods; Electromagnetics;
Compatible diagonal-norm staggered and upwind SBP operators
Keywords: روش های متمایز محدود; Finite difference methods; Staggered grids; High order accuracy; Stability; Boundary treatment; Euler equations;
Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
Keywords: روش های متمایز محدود; Fractional BBM equation; Finite difference methods; Stability; Convergence;
OpenSBLI: A framework for the automated derivation and parallel execution of finite difference solvers on a range of computer architectures
Keywords: روش های متمایز محدود; High-Performance Computing; Code generation; Computational Fluid Dynamics; Finite difference methods; Graphics processing units;
Fast numerical valuation of options with jump under Merton's model
Keywords: روش های متمایز محدود; 65M06; 65M55; 65L60; 91B25; 91G60; 65J10; European option pricing; American option pricing; Merton's jump-diffusion model; Finite difference methods; Discontinuous Galerkin finite element methods; Multigrid methods;
Diagonal-norm upwind SBP operators
Keywords: روش های متمایز محدود; Finite difference methods; Artificial dissipation; High-order accuracy; Stability; Boundary treatment;
Discrete and nonlocal models of Engesser and Haringx elastica
Keywords: روش های متمایز محدود; Lattice; Discrete elastica; Shear effect; Nonlocal beam mechanics; Timoshenko beam elements; Scale effect; Buckling; Bifurcation; Post-buckling; Finite difference methods;
A new box iterative method for a class of nonlinear interface problems with application in solving Poisson–Boltzmann equation
Keywords: روش های متمایز محدود; 92-08; 65N30; 65N06; 65N55Interface problems; Poisson–Boltzmann equation; Domain decomposition; Finite element methods; Finite difference methods; Electrostatics
High-fidelity numerical simulation of solitons in the nerve axon
Keywords: روش های متمایز محدود; Finite difference methods; High-order derivative; High-order accuracy; Stability; Boundary treatment; Nerve signals; Solitons;
Efficient numerical solution of the time fractional diffusion equation by mapping from its Brownian counterpart
Keywords: روش های متمایز محدود; Caputo time fractional advection-diffusion equation; Finite difference methods; Anomalous diffusion mapping; Time of flight experiment;
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation
Keywords: روش های متمایز محدود; Inverse problems; Proper orthogonal decomposition; Discrete empirical interpolation method (DEIM); Reduced-order models (ROMs); Shallow water equations; Finite difference methods;
Petascale large eddy simulation of jet engine noise based on the truncated SPIKE algorithm
Keywords: روش های متمایز محدود; Computational fluid dynamics; Large eddy simulation; Finite difference methods; Parallel algorithms; Linear systems; Numerical algorithms
Numerical solution of the Optimal Transportation problem using the Monge–Ampère equation
Keywords: روش های متمایز محدود; Optimal Transportation; Monge Ampère equation; Numerical methods; Finite difference methods; Viscosity solutions; Monotone schemes; Convexity; Fully nonlinear elliptic partial differential equations
Optimal diagonal-norm SBP operators
Keywords: روش های متمایز محدود; Finite difference methods; Multi-block grids; High order accuracy; Stability; Boundary treatment; Euler equations
A 3D finite-difference model for the effective thermal conductivity of thermal barrier coatings produced by plasma spraying
Keywords: روش های متمایز محدود; 3D; Finite difference methods; Image-based modeling; Thermal conductivity; Thermal barrier coatings;
A second order virtual node algorithm for Stokes flow problems with interfacial forces, discontinuous material properties and irregular domains
Keywords: روش های متمایز محدود; Stokes flow; Virtual node algorithms; Interface problems; Finite element methods; Finite difference methods; Ghost fluid methods;
Numerical solution of stochastic partial differential difference equation arising in reliability engineering
Keywords: روش های متمایز محدود; Markov models; Stochastic process; Transient solution; Finite difference methods; Lagrange’s and Simpson’s one-third method; Supplementary variable method
A mapping strategy for the identification of structural systems
Keywords: روش های متمایز محدود; Structures; Finite difference methods; Stability; Nonlinear dynamics
Supraconvergence and supercloseness in quasilinear coupled problems
Keywords: روش های متمایز محدود; 65M06; 65M20; 65M15; Finite difference methods; Piecewise linear finite element method; Supraconvergence; Supercloseness;
A moving mesh approach for modelling avascular tumour growth
Keywords: روش های متمایز محدود; Finite difference methods; Velocity-based moving meshes; Avascular tumour growth