A New Sixth-Order Finite Difference WENO Scheme for Fractional Differential Equations

A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws

(2016) Jun Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A family of high-order targeted ENO schemes for compressible-fluid simulations

(2016) Lin Fu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient class of WENO schemes with adaptive order

(2016) Dinshaw S. Balsara et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive Mesh Refinement for Hyperbolic Systems Based on Third-Order Compact WENO Reconstruction

(2015) M. Semplice et al.   JOURNAL OF SCIENTIFIC COMPUTING

On the Accuracy of WENO and CWENO Reconstructions of Third Order on Nonuniform Meshes

(2015) I. Cravero et al.   JOURNAL OF SCIENTIFIC COMPUTING

On the Full and Global Accuracy of a Compact Third Order WENO Scheme

(2014) Oliver Kolb   SIAM JOURNAL ON NUMERICAL ANALYSIS

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations

(2013) Rooholah Abedian et al.   COMPUTER PHYSICS COMMUNICATIONS

Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes

(2013) Wai-Sun Don et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High order finite difference WENO schemes for fractional differential equations

(2012) Weihua Deng et al.   APPLIED MATHEMATICS LETTERS

A simple weighted essentially nonoscillatory limiter for Runge–Kutta discontinuous Galerkin methods

(2012) Xinghui Zhong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Robust Reconstruction for Unstructured WENO Schemes

(2012) Yuan Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

(2011) Yingjie Liu et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

(2011) Zhiliang Xu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

(2011) Yuanyuan Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Spectrally Accurate Boundary Integral Method for Interfacial Velocities in Two-Dimensional Stokes Flow

(2010) Xu Sun et al.   Communications in Computational Physics

A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids

(2010) Guanghui Hu et al.   Communications in Computational Physics

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

(2010) Marcos Castro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws

(2009) Yingjie Liu et al.   NONLINEARITY

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

(2009) Chi-Wang Shu   SIAM REVIEW

L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

(2008) Yingjie Liu et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

(2008) Rafael Borges et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

(2008) Zhiliang Xu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS

A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes

(2007) G. Capdeville   JOURNAL OF COMPUTATIONAL PHYSICS