Keywords: 65M08; 65M15; 65J15; 76L05; 35L65; 35R60; Reduced order modeling; Nonlinear hyperbolic problems; UQ; Empirical interpolation method; POD-Greedy; Residual distribution;
مقالات ISI (ترجمه نشده)
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Keywords: 65M12; 65M15; 65M55; Domain decomposition; Subspace correction; Mixed finite element; Saltwater intrusion problem; Convergence analysis;
Keywords: 35Q55; 65M06; 65M12; 65M15; Klein-Gordon-Zakharov system; Subsonic limit; Multiscale decomposition; Multiscale time integrator; Uniformly and optimally accurate; Spectral method;
Keywords: 65M55; 65M15; Heterogeneous domain decomposition; Multiscale analysis; Viscous problems with inviscid approximations;
Keywords: 91G20; 91G60; 65M20; 65M15; 41A05; Black-Scholes; Radial basis functions method; Convergence; American option; Probability distribution;
Keywords: Characteristic block-centered finite difference; Compressible miscible displacement; Non-uniform grids; 65M06; 65M12; 65M15; 65M25;
Keywords: 65M12; 65M15; 65M60; Coupled Stokes and Darcy flows; Solute transport; Nonconforming Crouzeix-Raviart element; Mixed element and finite element; Error estimates;
Keywords: three dimensional transient behavior of heat conduction problem; mixed finite volume element; modified upwind fractional step difference; second-order error estimate in L2 norm; numerical computation; 65M15; 65M60; 65N30; 82D37;
Keywords: Fractional convection-reaction-diffusion equation; Variable coefficient; Compact difference method; Richardson extrapolation; High-order convergence; 65M06; 65M12; 65M15; 35R11;
Keywords: 65M12; 65M15; 65M60; Stabilized finite elements; Transient Stokes equations; Equal-order elements; Local projection; Discontinuous Galerkin methods;
Keywords: 35D30; 35L65; 65M12; 65M15; Upwind finite volume scheme; Forward semi-Lagrangian scheme; Convergence order; Conservative transport equation; Continuity equation; Measure-valued solution;
Keywords: 74A60; 74K10; 74K15; 74K20; 35J35; 35J40; 65M12; 65M15; 65M60; 74S05; Generalized continuum; Gradient elasticity; Kirchhoff plate; Isogeometric analysis; Convergence analysis; Error estimates;
Keywords: Quadratic spline collocation; Fractional subdiffusion equation; Optimal convergence; 65M06; 65M12; 65M15;
Keywords: Two-grid; Block-centered finite difference; Nonlinear; Parabolic integro-differential equation; Error estimates65M06; 65M12; 65M15; 65M55
Keywords: 35K20; 65M15; 65M60; 65M55; Parabolic initial-boundary value problems; Space-time isogeometric analysis; Fixed and moving spatial computational domains; A priori discretization error estimates;
Keywords: 65M60; 65M12; 65M15; Mixed finite element methods; Wormhole; Error estimate; Darcy-Forchheimer model;
Keywords: 74A60; 74K10; 74K15; 74K20; 35J35; 35J40; 65M12; 65M15; 65M60; 74S05; Gradient elasticity; Plane strain/stress; Variational formulation; Existence and Uniqueness; Isogeometric analysis; Error estimates;
Keywords: Compact; Difference; Nonlocal; Diffusion; Fourth-order; Error estimates65M06; 65M12; 65M15
Keywords: 65M60; 65M12; 65M15; 35Q35; 76D07; Discontinuous finite volume element methods; Semi-discrete scheme; Convergence to the weak solution; Error estimates; Nonlinear coupled flow and transport; Sedimentation-consolidation processes; Gravity flows;
Keywords: 35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10; Time marching schemes; Dispersion; Dissipation; von Neumann analysis; Fourier analysis; Mixed wave equation;
Keywords: 49J20; 65M15; 65M60; Optimal control; Burgers equation; All-at-once approach; Control constraints; Semi-implicit discretization;
Keywords: 65M12; 65M15; 65M70; Orthogonal spline collocation; Subdiffusion equation; Stability; Convergence;
Keywords: 65M15; 65M60; 65M20; 65R20; Eddy current problem; Impedance boundary conditions; Convolution quadrature; Fast and oblivious algorithms;
Keywords: 65M12; 65M70; 65N12; 65N35; 65M15; 65M22; 65J10; 65J20; 35D30; 35D35; 35B65; 41A25; 41A63Stability; Partial differential equations; Tau methods; Pseudospectral methods; Collocation; Discretization
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation
Keywords: primary; 65M60; 65M12; 65M15; Discontinuous Galerkin method; Energy conserving; KdV;
A multiquadric quasi-interpolations method for CEV option pricing model
Keywords: 91G20; 91G60; 65M20; 65M15; 41A05; Multiquadric quasi-interpolations; Option pricing; CEV model; Greek letters;
Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids
Keywords: Characteristic MAC scheme; Stability; Oseen equations; Post-processing; Non-uniform grids; 65M06; 65M12; 65M15; 65M25; 76D07;
A high-order L2-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients
Keywords: Fractional sub-diffusion equation; Variable coefficient; Compact difference method; High-order convergence; Energy method; 65M06; 65M12; 65M15; 35R11;
A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model
Keywords: 65M60; 65M12; 65M15; Wormhole; Darcy-Brinkman-Forchheimer model; Time scheme; Error estimate;
A finite element method for Maxwell polynomial chaos Debye model
Keywords: Maxwell's equation; Relaxation time distribution; Polynomial chaos; Finite element method; 65M15; 65N30; 65N12;
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation
Keywords: Reduced-order extrapolated finite difference iterative scheme; Sobolev equation; Proper orthogonal decomposition technique; Error estimate; Numerical experiment; 65N12; 65M15; 65N30;
Smooth Quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions
Keywords: Quintic polynomial spline; Schrödinger equation; Variable coefficients; Convergence; Stability; Mass and energy conservations; 65M06; 65M12; 65M15;
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions
Keywords: 65M12; 65M15; 65M60; Local discontinuous Galerkin method; Implicit-explicit time discretization; Convection-diffusion equation; Dirichlet boundary condition; Order reduction;
Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection-diffusion equation
Keywords: Convection-diffusion equation; Finite difference method; ADI method; Stability analysis; Error estimate; 65M06; 65M12; 65M15;
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems
Keywords: Evolutionary Oseen problem; Inf-sup stable pairs of finite element spaces; Local projection stabilization (LPS) methods; Continuous Galerkin-Petrov (cGP) methods; 65M12; 65M15; 65M60;
The analogue of grad-div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes
Keywords: 35Q30; 65M15; 65M60; 76M10; Incompressible Navier-Stokes equations; Mixed finite element methods; grad-div stabilization; Discontinuous Galerkin method; Nonconforming finite elements;
Global BV solution for a non-local coupled system modeling the dynamics of dislocation densities
Keywords: 35Q53; 35Q72; 49L25; 35F25; 35L40; 35L45; 65M06; 65M12; 65M15; 74H20; 74H25; Hamilton-Jacobi system; Non-local eikonal system; Non-local transport system; BV estimate; Discontinuous viscosity solution; Dislocation dynamics;
A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation
Keywords: Radial basis functions; High-order quasi-interpolation; Symplectic integrator; Hamiltonian PDEs; 65M99; 65M15; 65M20; 41A05; 37K05;
High-order finite difference technique for delay pseudo-parabolic equations
Keywords: 65M06; 65M12; 65M15; 65M22; Pseudo-parabolic equation; Delay difference scheme; Error estimate;
A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
Keywords: Second order; New fractional derivative; Crank-Nicolson; Cattaneo equation; Finite difference; 65M06; 65M12; 65M15; 26A33;
Numerical verification for existence of a global-in-time solution to semilinear parabolic equations
Keywords: 65G40; 65M15; 35K20; Semilinear parabolic equations; Global-in-time solution; Verified numerical computations;
Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity
Keywords: Discontinuous Galerkin methods; Magnetic induction; Divergence constraint; Error analysis; Rate of convergence; 65M60; 65M12; 65M15; 76W05; 35L57;
Block-centered finite difference methods for general Darcy-Forchheimer problems
Keywords: Block-centered finite difference; General Darcy-Forchheimer problems; Numerical analysis; Second-order accuracy; 65M06; 65M12; 65M15;
W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
Keywords: 65M12; 65M15; 65M20; Evolutionary advection-diffusion-reaction partial differential equations; W-methods; ROW-methods; Approximate matrix factorization; Finite differences; Stability and convergence;
Weak Galerkin finite element methods for Sobolev equation
Keywords: 65M15; 65M60; Sobolev equation; Weak Galerkin; Weak gradient; Discrete weak gradient; Error estimate;
Characteristic splitting mixed finite element analysis of Keller–Segel chemotaxis models
Keywords: Splitting mixed system; Mass conservation; The method of characteristics; Keller–Segel model665M12; 65M15; 65M60
Discontinuous Galerkin immersed finite element methods for parabolic interface problems
Keywords: 65M15; 65M60; Parabolic interface problems; Discontinuous Galerkin; Immersed finite element; Error estimates;
Letter to the EditorThe mystery of the shape parameter III
Keywords: 41A05; 65D05; 65M15; 65M70; 65N15; 65N50; Radial basis function; Multiquadric; Shape parameter; Interpolation;
A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.
Keywords: Evolutionary advection-diffusion-reaction partial differential equations; W-methods; Approximate matrix factorization; Finite differences; Stability and convergence; 65M12; 65M15; 65M20;
Some high order difference schemes for the space and time fractional Bloch–Torrey equations
Keywords: Bloch–Torrey equation; Fractional differential equation; Riesz derivative; Finite difference scheme; Convergence; Stability65M06; 65M12; 65M15