Keywords: حفظ مثبت; Mass conservative; Energy stable; Positivity preserving; Allen-Cahn phase-field; Two-phase flows; Wave-structure interaction;
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Keywords: حفظ مثبت; 60H35; 60H30; 60H10; 65C30; Jump-diffusion; Numerical solution; Balanced implicit method; Positivity preserving;
Keywords: حفظ مثبت; Numerical modelling; Turbidity current; Well-balanced; Positivity preserving; Wetting-drying; Central-upwind method; Unstructured grid;
Keywords: حفظ مثبت; Stabilized finite element method; Consistent penalty; Positivity preserving; Transport equation; Discrete maximum principle;
Keywords: حفظ مثبت; Three-dimensional shallow water equations; Central-upwind scheme; Relaxation approach; Well-balanced; Positivity preserving; Finite-volume method;
Keywords: حفظ مثبت; Magnetohydrodynamics; Finite difference WENO; Lax-Wendroff; Constrained transport; Positivity preserving; High order;
Keywords: حفظ مثبت; Discontinuous Galerkin methods; Convection diffusion equation; Maximum principle; Positivity preserving; Incompressible Navier-Stokes equations;
Keywords: حفظ مثبت; Dispersal; Diffusion-advection-reaction equation; Entropy; Energy; Positivity preserving;
Keywords: حفظ مثبت; Gamma equation; Finite volume method; Van Leer flux-limiter; Positivity preserving; Interface; Stability; Convergence;
Keywords: حفظ مثبت; Stochastic age-dependent population equations; Numerical solution; Positivity preserving; Convergence60H35; 60H30; 60H10; 65C30
An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model
Keywords: حفظ مثبت; Adaptivity; Error estimates; Conservative; Positivity preserving; Allen-Cahn phase-field; Two-phase flows;
Operator splitting combined with positivity-preserving discontinuous Galerkin method for the chemotaxis model
Keywords: حفظ مثبت; Chemotaxis model; Positivity preserving; Discontinuous Galerkin; Krylov implicit integration factor
Operator splitting kernel based numerical method for a generalized Leland’s model
Keywords: حفظ مثبت; Non-linear parabolic equation; Splitting methods; Green function; Flux limiter; Positivity preserving; Stability
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
Keywords: حفظ مثبت; Hyperbolic conservation laws; Maximum principle preserving; Positivity preserving; Unstructured meshes; Finite volume schemes; WENO schemes; Compressible Euler system;
Discontinuous Galerkin method for Krauseʼs consensus models and pressureless Euler equations
Keywords: حفظ مثبت; δ-singularities; Discontinuous Galerkin method; Krauseʼs model; Pressureless gas; Positivity preserving; Symmetry preserving; Maximum principle;
Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes
Keywords: حفظ مثبت; Discontinuous Galerkin method; Maximum principle; Positivity preserving; Convection–diffusion equations; Incompressible Navier–Stokes equations; Degenerate parabolic equations; Triangular meshes
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
Keywords: حفظ مثبت; Discontinuous Galerkin method; Positivity preserving; High order accuracy; Gaseous detonations
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
Keywords: حفظ مثبت; Positivity preserving; High order accuracy; Compressible Euler equations; Gas dynamics; Finite difference scheme; Essentially non-oscillatory scheme; Weighted essentially non-oscillatory scheme
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
Keywords: حفظ مثبت; Hyperbolic conservation laws; Discontinuous Galerkin method; Positivity preserving; High order accuracy; Compressible Euler equations with source terms; Gas dynamics; Finite volume scheme; Essentially non-oscillatory scheme; Weighted essentially non-oscil
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
Keywords: حفظ مثبت; Hyperbolic conservation laws; Discontinuous Galerkin method; Positivity preserving; High order accuracy; Compressible Euler equations; Gas dynamics; Finite volume scheme; Essentially non-oscillatory scheme; Weighted essentially non-oscillatory scheme