Keywords: روش متداول گارکین متداول محلی; Semi-implicit spectral deferred correction method; Highly nonlinear partial differential equations; Local discontinuous Galerkin method; High order accuracy;
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Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Superconvergence; Error estimate
A discontinuous Galerkin method for stochastic Cahn-Hilliard equations
Keywords: روش متداول گارکین متداول محلی; Stochastic Cahn-Hilliard equation; Q-Wiener process; Local discontinuous Galerkin method;
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation
Keywords: روش متداول گارکین متداول محلی; Nonlinear Schrödinger equation; Optimal error estimates; Charge conservation law; Local discontinuous Galerkin method; Generalized alternating numerical flux;
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions
Keywords: روش متداول گارکین متداول محلی; 65M12; 65M15; 65M60; Local discontinuous Galerkin method; Implicit-explicit time discretization; Convection-diffusion equation; Dirichlet boundary condition; Order reduction;
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension
Keywords: روش متداول گارکین متداول محلی; Sine-Gordon equation; Local discontinuous Galerkin method; Superconvergence; Projections; Error estimates;
Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems
Keywords: روش متداول گارکین متداول محلی; 65L10; 65L20; 65L60; 65M50; Local discontinuous Galerkin method; Singularly perturbed problems; Local error estimates; Superconvergence;
A stochastic local discontinuous Galerkin method for stochastic two-point boundary-value problems driven by additive noises
Keywords: روش متداول گارکین متداول محلی; Stochastic boundary-value problems; Local discontinuous Galerkin method; White noise; Mean-square convergence; Order of convergence;
Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation
Keywords: روش متداول گارکین متداول محلی; Fractional diffusion-wave equation; Time fractional derivative; Local discontinuous Galerkin method; Stability; 65M12; 65M06; 35S10;
Local discontinuous Galerkin method for elliptic interface problems
Keywords: روش متداول گارکین متداول محلی; elliptic interface problem; minimal dissipation; local discontinuous Galerkin method; error estimates; 35J75; 65M60;
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Sine-Gordon equation; Superconvergence; Radau polynomials; A posteriori error estimates; Cartesian grids;
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
Keywords: روش متداول گارکین متداول محلی; Discontinuous Galerkin; Curved boundary; Local discontinuous Galerkin method; High order accuracy; Conservation laws; Wave equations;
A hybrid LDG-HWENO scheme for KdV-type equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Third order equations; High order method; HWENO; KdV equation
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit–explicit time-marching for nonlinear convection–diffusion problems
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Implicit–explicit scheme; Convection–diffusion equation; Stability analysis; Error estimate; Energy method
An h-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Mesh adaptation; (Non)-isothermal Navier-Stokes-Korteweg equations; Solid wall boundaries; Accuracy and stability;
Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells
Keywords: روش متداول گارکین متداول محلی; Photoelectrochemical cell modeling; Solar cell simulation; Drift-diffusion-Poisson systems; Reactive interfaces; Interfacial charge transfer; Mixed finite element method; Local discontinuous Galerkin method; Domain decomposition; Implicit-explicit (
Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
Keywords: روش متداول گارکین متداول محلی; 65M06; 65M20; 65M60; Variational multiscale element free Galerkin meshless method; Local discontinuous Galerkin method; Fourth-order exponential time differencing approach; Padé approximation; Brusselator equations; Reaction-diffusion system;
Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions
Keywords: روش متداول گارکین متداول محلی; Positivity-preserving; Blow-up solutions; Local discontinuous Galerkin method; Dirichlet boundary conditions
The direct coupling of local discontinuous Galerkin and natural boundary element method for nonlinear interface problem in R3R3
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Natural boundary reduction; Nonlinear interface problem; Unbounded domain65N30; 65N38
Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Error estimate; Compressible miscible displacement; Numerical result
An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system
Keywords: روش متداول گارکین متداول محلی; Cahn-Hilliard-Brinkman system; Local discontinuous Galerkin method; Energy stability; Convex splitting; Multigrid;
A priori hp-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Linear second order hyperbolic integro-differential equation; Nonstandard formulation; Semidiscrete and completely discrete schemes; Mixed type Ritz-Volterra projection; Role of stabilizing parameters; hp-Error estim
A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; (Non-)isothermal Navier-Stokes-Korteweg equations; Phase transition; Van der Waals equation of state; Implicit time integration; Accuracy and stability;
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part I: Diffusion operator
Keywords: روش متداول گارکین متداول محلی; MATLAB; GNU Octave; Local discontinuous Galerkin method; Vectorization; Open source
Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type
Keywords: روش متداول گارکین متداول محلی; Convection-diffusion equation; Local discontinuous Galerkin method; Finite element method; Shishkin mesh; Uniform convergence
Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
Keywords: روش متداول گارکین متداول محلی; Time-fractional partial differential equations; Fourth-order problems; Local discontinuous Galerkin method; Stability; Error estimates
Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Korteweg-de Vries equation; Superconvergence; Error estimates;
An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system
Keywords: روش متداول گارکین متداول محلی; Cahn–Hilliard–Hele–Shaw system; Local discontinuous Galerkin method; Energy stability; Convex splitting; Multigrid
Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
Keywords: روش متداول گارکین متداول محلی; Wave propagation; Local discontinuous Galerkin method; Energy conservation; Optimal error estimate; Heterogeneous media
Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier-Stokes equations
Keywords: روش متداول گارکین متداول محلی; Non-Newtonian incompressible flow problems; p-Type Navier-Stokes; Extra stress tensor with p-power rule; Local Discontinuous Galerkin method; Mixed-equal order local polynomial spaces;
Superconvergence and a posteriori error estimates for the LDG method for convection–diffusion problems in one space dimension
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Transient convection–diffusion problems; Superconvergence; a posteriori error estimation; Radau points
Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Transient convection-diffusion problems; Superconvergence; a posteriori error estimation; Radau points; Projections;
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach
Keywords: روش متداول گارکین متداول محلی; Discontinuous Galerkin method; Local discontinuous Galerkin method; Fourier approach; Dispersion and dissipation error; Eigen-structure; Superconvergence;
A local discontinuous Galerkin method for 1.5-dimensional streamer discharge simulations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Moment limiter; Fluid model; Numerical simulation; Double-headed streamer
The local discontinuous Galerkin method for Burger's-Huxley and Burger's-Fisher equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Burger's-Huxley equation; Burger's-Fisher equation;
Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation
Keywords: روش متداول گارکین متداول محلی; Time-fractional partial differential equations; Schrödinger equation; Local discontinuous Galerkin method; Stability; Error estimates
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
Keywords: روش متداول گارکین متداول محلی; Time-fractional coupled Schrödinger system; Local discontinuous Galerkin method; Stability; Error estimates
A local discontinuous Galerkin method for the second-order wave equation
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Second-order wave equation; Superconvergence; A posteriori error estimation
LDG method for reaction–diffusion dynamical systems with time delay
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Reaction–diffusion dynamical systems with time delay; Stability; Convergence; Biologic models
A uniformly convergent continuous–discontinuous Galerkin method for singularly perturbed problems of convection–diffusion type
Keywords: روش متداول گارکین متداول محلی; Convection diffusion equation; Local discontinuous Galerkin method; Finite element method; Shishkin mesh; Uniform convergence
Numerical solution of the Burgers’ equation by local discontinuous Galerkin method
Keywords: روش متداول گارکین متداول محلی; Burgers’ equation; Local discontinuous Galerkin method; Runge–Kutta method; Hopf–Cole transformation
Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Superconvergence; Convection–diffusion equations; Projection; Error estimates
The local discontinuous Galerkin method for three-dimensional shallow water flow
Keywords: روش متداول گارکین متداول محلی; Shallow water equations; Local discontinuous Galerkin method; Free surface; Stability analysis
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Keywords: روش متداول گارکین متداول محلی; 65M60; 35Q55; Local discontinuous Galerkin method; Nonlinear Schrödinger equation;
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations
Keywords: روش متداول گارکین متداول محلی; Local discontinuous Galerkin method; Kadomtsev-Petviashvili equation; Zakharov-Kuznetsov equation; Stability; Exponential time differencing method;