Total variation diminishing Runge-Kutta schemes

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems

Mathematics of Computation

Two Barriers on Strong-Stability-Preserving Time Discretization Methods

Journal of Scientific Computing

Strong Stability Preserving Properties of Runge–Kutta Time Discretization Methods for Linear Constant Coefficient Operators

Journal of Scientific Computing

Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods

Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II

A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods

Journal of Computational Physics

Concepts and Application of Time-Limiters to High Resolution Schemes

Journal of Scientific Computing

Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems

Mathematics of Computation

On Strong Stability Preserving Time Discretization Methods

Journal of Scientific Computing

Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas

Journal of Computational Physics

Discontinuous Galerkin Methods Applied to Shock and Blast Problems

Journal of Scientific Computing

High-order RKDG Methods for Computational Electromagnetics

Journal of Scientific Computing

Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth

Journal of Computational Physics

On High Order Strong Stability Preserving Runge---Kutta and Multi Step Time Discretizations

Journal of Scientific Computing

Implicit---Explicit Runge---Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Journal of Scientific Computing

Space---Time Adaptive Solution of First Order PDES

Journal of Scientific Computing

High-order RKDG methods for computational electromagnetics

Journal of Scientific Computing

Discontinuous Galerkin methods applied to shock and blast problems

Journal of Scientific Computing

Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations

Journal of Scientific Computing

An adaptive local deconvolution method for implicit LES

Journal of Computational Physics

Stepsize restrictions for total-variation-boundedness in general Runge-Kutta procedures

Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)

Implementation of WENO schemes in compressible multicomponent flow problems

Journal of Computational Physics

Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations

Journal of Computational Physics

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Journal of Computational Physics

A study of numerical methods for the level set approach

Applied Numerical Mathematics

A simple and accurate Riemann solver for isothermal MHD

Journal of Computational Physics

Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations

Journal of Scientific Computing

On the implicit large eddy simulations of homogeneous decaying turbulence

Journal of Computational Physics

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

Journal of Computational Physics

Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

Journal of Computational Physics

Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations

Computers & Mathematics with Applications

An improved reconstruction method for compressible flows with low Mach number features

Journal of Computational Physics

Selective monotonicity preservation in scalar advection

Journal of Computational Physics

On entropy generation and dissipation of kinetic energy in high-resolution shock-capturing schemes

Journal of Computational Physics

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Journal of Computational Physics

A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth

Journal of Scientific Computing

A Numerical Study of Diagonally Split Runge---Kutta Methods for PDEs with Discontinuities

Journal of Scientific Computing

Pseudo-wave decomposition high-order method for magnetogasdynamics

Journal of Computational Physics

Strong stability of singly-diagonally-implicit Runge--Kutta methods

Applied Numerical Mathematics

Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids

Journal of Computational Physics

Optimal implicit strong stability preserving Runge--Kutta methods

Applied Numerical Mathematics

One-Sided Smoothness-Increasing Accuracy-Conserving Filtering for Enhanced Streamline Integration through Discontinuous Fields

Journal of Scientific Computing

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

Journal of Scientific Computing

High resolution finite volume scheme for the quantum hydrodynamic equations

Journal of Computational Physics

High Order Strong Stability Preserving Time Discretizations

Journal of Scientific Computing

Explicit and implicit FEM-FCT algorithms with flux linearization

Journal of Computational Physics

Strong stability preserving hybrid methods

Applied Numerical Mathematics

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

Journal of Computational Physics

Short Note: Effects of difference scheme type in high-order weighted compact nonlinear schemes

Journal of Computational Physics

High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems

Journal of Scientific Computing

Characterizing Strong Stability Preserving Additive Runge-Kutta Methods

Journal of Scientific Computing

A front-tracking/ghost-fluid method for fluid interfaces in compressible flows

Journal of Computational Physics

Compact third-order limiter functions for finite volume methods

Journal of Computational Physics

ENO adaptive method for solving one-dimensional conservation laws

Applied Numerical Mathematics

Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh

Journal of Computational Physics

A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

Journal of Computational Physics

Local derivative post-processing for the discontinuous Galerkin method

Journal of Computational Physics

Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures

Applied Numerical Mathematics

A Study of Viscous Flux Formulations for a p-Multigrid Spectral Volume Navier Stokes Solver

Journal of Scientific Computing

A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods

Journal of Computational and Applied Mathematics

Numerical solution of certain classes of transport equations in any dimension by Shannon sampling

Journal of Computational Physics

A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems

Journal of Computational Physics

A hybrid numerical simulation of isotropic compressible turbulence

Journal of Computational Physics

High-order conservative finite difference GLM-MHD schemes for cell-centered MHD

Journal of Computational Physics

Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

Journal of Computational Physics

An interface capturing method for the simulation of multi-phase compressible flows

Journal of Computational Physics

A PML-based nonreflective boundary for free surface fluid animation

ACM Transactions on Graphics (TOG)

A second order self-consistent IMEX method for radiation hydrodynamics

Journal of Computational Physics

A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems

Journal of Computational Physics

Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods

Applied Numerical Mathematics

On the implementation of WENO schemes for a class of polydisperse sedimentation models

Journal of Computational Physics

Computational Modeling of Solid Tumor Growth: The Avascular Stage

SIAM Journal on Scientific Computing

Highly Accurate Schemes for PDE-Based Morphology with General Convex Structuring Elements

International Journal of Computer Vision

On the Linear Stability of the Fifth-Order WENO Discretization

Journal of Scientific Computing

Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems

Journal of Computational Physics

Multi-moment advection scheme for Vlasov simulations

Journal of Computational Physics

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws

Journal of Computational Physics

Finsler Streamline Tracking with Single Tensor Orientation Distribution Function for High Angular Resolution Diffusion Imaging

Journal of Mathematical Imaging and Vision

A discontinuous Galerkin method for two-dimensional shock wave modeling

Modelling and Simulation in Engineering

Simulations of stellar convection with CO5BOLD

Journal of Computational Physics

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction

SIAM Journal on Scientific Computing

Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions

SIAM Journal on Scientific Computing

A Discontinuous Galerkin Solver for Front Propagation

SIAM Journal on Scientific Computing

An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization

Numerical Algorithms

A stable high-order Spectral Difference method for hyperbolic conservation laws on triangular elements

Journal of Computational Physics

Binary weighted essentially non-oscillatory (BWENO) approximation

Journal of Computational and Applied Mathematics

Numerical (error) issues on compressible multicomponent flows using a high-order differencing scheme: Weighted compact nonlinear scheme

Journal of Computational Physics

Semi-implicit formulation of the immersed finite element method

Computational Mechanics

A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation

Journal of Computational Physics

Total variation diminishing nonstandard finite difference schemes for conservation laws

Mathematical and Computer Modelling: An International Journal

Preventing numerical errors generated by interface-capturing schemes in compressible multi-material flows

Journal of Computational Physics

Divergence formulation of source term

Journal of Computational Physics

Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations

SIAM Journal on Scientific Computing

Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

Journal of Computational Physics

A coarse-grid projection method for accelerating incompressible flow computations

Journal of Computational Physics

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods

Journal of Computational Physics

Multi-moment advection scheme in three dimension for Vlasov simulations of magnetized plasma

Journal of Computational Physics

A low Mach number solver: Enhancing applicability

Journal of Computational Physics

A solution-adaptive method for efficient compressible multifluid simulations, with application to the Richtmyer-Meshkov instability

Journal of Computational Physics

An Optimized Low-Dissipation Monotonicity-Preserving Scheme for Numerical Simulations of High-Speed Turbulent Flows

Journal of Scientific Computing

A diffuse interface model with immiscibility preservation

Journal of Computational Physics

First-, second-, and third-order finite-volume schemes for diffusion

Journal of Computational Physics

Numerical Methods for Two-Dimensional Stem Cell Tissue Growth

Journal of Scientific Computing

Strong Stability for Runge---Kutta Schemes on a Class of Nonlinear Problems

Journal of Scientific Computing

Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods

Journal of Computational Physics

A simple interface sharpening technique with a hyperbolic tangent function applied to compressible two-fluid modeling

Journal of Computational Physics

Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy

Journal of Computational Physics

A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit

Journal of Computational and Applied Mathematics

Original article: Implicit time advancing combined with two finite-volume methods in the simulation of morphodynamic flows

Mathematics and Computers in Simulation

A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow

Computers & Mathematics with Applications

An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems

Journal of Computational Physics