High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons

High-order central-upwind shock capturing scheme using a boundary variation diminishing (BVD) algorithm ⋮ A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics ⋮ Numerical methods and macroscopic models of magnetically confined low temperature plasmas ⋮ Efficient high-order gradient-based reconstruction for compressible flows ⋮ First order hyperbolic approach for anisotropic diffusion equation

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First-, second-, and third-order finite-volume schemes for diffusion
Numerical (error) issues on compressible multicomponent flows using a high-order differencing scheme: weighted compact nonlinear scheme
Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids
A high order moving boundary treatment for compressible inviscid flows
Finite-volume WENO schemes for three-dimensional conservation laws
First, second, and third order finite-volume schemes for advection-diffusion
Finite-volume WENO scheme for viscous compressible multicomponent flows
A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations
A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
A new class of central compact schemes with spectral-like resolution. II: Hybrid weighted nonlinear schemes
Implementation of WENO schemes in compressible multicomponent flow problems
High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes
Development of nonlinear weighted compact schemes with increasingly higher order accuracy
A first-order system approach for diffusion equation. II: Unification of advection and diffusion
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems
A systematic methodology for constructing high-order energy stable WENO schemes
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
Approximate Riemann solvers, parameter vectors, and difference schemes
Compact finite difference schemes with spectral-like resolution
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
Fully conservative higher order finite difference schemes for incompressible flow
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
A family of hybrid cell-edge and cell-node dissipative compact schemes satisfying geometric conservation law
Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver
Hyperbolic advection-diffusion schemes for high-Reynolds-number boundary-layer problems
High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows
Effects of high-frequency damping on iterative convergence of implicit viscous solver
Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids
Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Efficient implementation of weighted ENO schemes
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
Robust explicit formulation of weighted compact nonlinear scheme
A spectral study on the dissipation and dispersion of the WENO schemes
A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas
A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
A sequel to AUSM II: AUSM\(^+\)-up for all speeds
A numerical method for solving incompressible viscous flow problems
Compact Reconstruction Schemes with Weighted ENO Limiting for Hyperbolic Conservation Laws
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
Developing high-order weighted compact nonlinear schemes