About: Stability and convergence of numerical methods

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Partial differential equations, initial value and time-dependent initial-boundary value problems
skos:prefLabel	Stability and convergence of numerical methods StabilitÃ¡ e convergenza dei metodi numerici 数值方法的稳定性和收敛性
skos:exactMatch	http://msc2010.org/resources/MSC/1991/65M12 http://msc2010.org/resources/MSC/2000/65M12
skos:notation	65M12
is Subject of	L2-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes High degree precision decomposition method for the evolution problem with an operator under a split form Stability of flat interfaces during semidiscrete solidification Solution of degenerate parabolic variational inequalities with convection Analysis of total variation flow and its finite element approximations Finite element approximation of a Stefan problem with degenerate Joule heating Numerical schemes for a three component Cahn-Hilliard model Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions Parallelizing the Kolmogorov Fokker Planck Equation On the stable numerical approximation of two-phase flow with insoluble surfactant Convergence of a high order method in time and space for the miscible displacement equations On the double critical-state model for type-II superconductivity in 3D Free-energy-dissipative schemes for the Oldroyd-B model A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model A two-fluid hyperbolic model in a porous medium High order semi-Lagrangian particle methods for transport equations: numerical analysis and implementation issues Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient A stability analysis for finite volume schemes applied to the Maxwell system A class of time discrete schemes for a phase-field system of Penrose-Fife type Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations Finite volume methods for the valuation of American options Vibrations of a beam between obstacles. Convergence of a fully discretized approximation Numerical approaches to rate-independent processes and applications in inelasticity Theory and numerical approximations for a nonlinear 1 + 1 Dirac system A quasi-variational inequality problem arising in the modeling of growing sandpiles Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR) Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities Maximum-Norm Stability, Smoothing and Resolvent Estimates for Parabolic Finite Element Equations Numerical controllability of the wave equation through primal methods and Carleman estimates Relaxation models of phase transition flows On the rate of convergence of a collocation projection of the KdV equation Hyperbolic relaxation models for granular flows Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies A linear scheme to approximate nonlinear cross-diffusion systems Multiscale Finite Element approach for “weakly” random problems and related issues Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model Efficient preconditioning of variational time discretization methods for parabolic Partial Differential Equations Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists Godunov method for nonconservative hyperbolic systems Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction An hp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell’s equations Stabilized Galerkin methods for magnetic advection Non linear schemes for the heat equation in 1D Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations On supra-convergence of the finite volume method for the linear advection problem Uniformly exponentially stable approximations for a class of second order evolution equations Data assimilation of time under-sampled measurements using observers, the wave-like equation example Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension A simple and efficient scheme for phase field crystal simulation Error estimates for Galerkin reduced-order models of the semi-discrete wave equation Convergence rates of supercell calculations in the reduced Hartree −Fock model A model of macroscale deformation and microvibration in skeletal muscle tissue Consistency, accuracy and entropy behaviour of remeshed particle methods Dual-mixed finite element methods for the Navier-Stokes equations Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model Gradient schemes: Generic tools for the numerical analysis of diffusion equations Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation Stable upwind schemes for the magnetic induction equation Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs Two Numerical Methods for the elliptic Monge-Ampère equation Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson P-adaptive Hermite methods for initial value problems High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations A mixed formulation of a sharp interface model of stokes flow with moving contact lines Development and stability analysis of the inverse Lax −Wendroff boundary treatment for central compact schemes Higher order continuous Galerkin −Petrov time stepping schemes for transient convection-diffusion-reaction equations The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics

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