Search
Search Results
-
A novel local meshless collocation method with partial upwind scheme for solving convection-dominated diffusion problems
In this study, a novel upwind local backward substitution method (upwind-BSM) is developed for the simulation of two-dimensional convection-dominated...
-
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering...
-
The second-order modified upwind PPM characteristic difference method and analysis for solving convection-diffusion equations
In this paper, the conservation characteristic difference method based on the second-order modified upwind scheme is analyzed for solving the...
-
A New (3, 3) Low Dispersion Upwind Compact Scheme
In this work, we propose a new upwind compact scheme with appropriately designed new boundary closures. The scheme is obtained by minimizing weighted...
-
A Numerical Scheme for Solving a Mathematical Model Derived from Larvae-Algae-Mussel Interactions
In this work is proposed the use of a numerical strategy based on the operator splitting technique, for solving a mathematical model for the...
-
An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion–reaction problem with two small parameters
The manuscript contemplates a computationally robust numerical algorithm for the solution of a singularly perturbed 2D time-delayed parabolic...
-
Upwind skewed radial basis functions (USRBF) for solution of highly convective problems over meshfree nodes
An upwind skewed radial basis function (USRBF)-based solution scheme is presented for stabilized solutions of convection-dominated problems over...
-
Operator-splitting finite element method for solving the radiative transfer equation
An operator-splitting finite element scheme for the time-dependent radiative transfer equation is presented in this paper. The streamline upwind...
-
Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type
This paper is concerned with a class of singularly perturbed semilinear parabolic convection-diffusion initial-boundary-value problems exhibiting a...
-
An algebraically stabilized method for convection–diffusion–reaction problems with optimal experimental convergence rates on general meshes
Algebraically stabilized finite element discretizations of scalar steady-state convection–diffusion–reaction equations often provide accurate...
-
Unstructured Flux-Limiter Convective Schemes for Simulation of Transport Phenomena in Two-Phase Flows
Unstructured flux-limiters convective schemes designed in the framework of the unstructured conservative level-set (UCLS) method, are assessed for...
-
High Resolution TVD Scheme Based on Fuzzy Modifiers for Shallow-Water Equations
This work proposes a new fuzzy logic based high resolution (HR), total variation diminishing (TVD) scheme in finite volume frameworks to compute an...
-
Stabilized isogeometric collocation methods for hyperbolic conservation laws
We introduce stabilized spline collocation schemes for the numerical solution of nonlinear, hyperbolic conservation laws. A nonlinear, residual-based...
-
An implicit-explicit preconditioned direct method for pricing options under regime-switching tempered fractional partial differential models
Recently, fractional partial differential equations have been widely applied in option pricing problems, which better explains many important...
-
Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation
The main objective in this paper is to propose an efficient numerical formulation for solving the time-fractional distributed-order...
-
Regularised Diffusion–Shock Inpainting
We introduce regularised diffusion–shock (RDS) inpainting as a modification of diffusion–shock inpainting from our SSVM 2023 conference paper. RDS...
-
A Robust VAG Scheme for a Two-Phase Flow Problem in Heterogeneous Porous Media
Brenner, K. Masson, R. Quenjel, E. H.A positive Vertex Approximate Gradient (VAG) scheme is proposed to discretize the total velocity formulation of...
-
An Efficient Numerical Method for Singularly Perturbed Parabolic Problems with Non-smooth Data
This article deals with a class of singularly perturbed convection-diffusion parabolic problems with discontinuous source term exhibiting both...
-
An upwind approximation combined with mixed volume element for a positive semi-definite contamination treatment from nuclear waste
A positive semi-definite problem of three-dimensional contamination treatment from nuclear waste in porous media is discussed in this paper. The...
-
Influence of the Capillaries Bed in Hyperthermia for Cancer Treatment
This work presents the computational modeling of solid tumor treatments with hyperthermia using magnetic nanoparticles, considering a bioheat...