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MSC 2010
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Partial differential equations, initial value and time-dependent initial-boundary value problems
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Error bounds
Maggiorazioni degli errori
误差界
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http://msc2010.org/resources/MSC/1991/65M15
http://msc2010.org/resources/MSC/2000/65M15
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65M15
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High degree precision decomposition method for the evolution problem with an operator under a split form
Reduced basis techniques for nonlinear conservation laws
Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions
An Adaptive Multi-level method for Convection Diffusion Problems
Approximation of the Snell Envelope and American Options Prices in dimension one
Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems
A class of time discrete schemes for a phase-field system of Penrose-Fife type
A posteriori error control for the Allen-Cahn problem: circumventing Gronwall's inequality
Galerkin time-stepping methods for nonlinear parabolic equations
Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations
Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise
Theory and numerical approximations for a nonlinear 1 + 1 Dirac system
A priori error estimates for finite element discretizations of a shape optimization problem
Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients
A posteriori error analysis for the Crank-Nicolson method for linear Schrödinger equations
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows
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
Analysis of a splitting scheme for a class of random nonlinear partial differential equations
Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group
Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy
An a posteriori error analysis for dynamic viscoelastic problems
Adaptive modeling for free-surface flows
Lagrangian and moving mesh methods for the convection diffusion equation
Reduced basis method for finite volume approximations of parametrized linear evolution equations
Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system
Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations
A priori error estimates for reduced order models in finance
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
Error estimates of Runge-Kutta discontinuous galerkin methods for the Vlasov-Maxwell system
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
A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
A new diagonalization based method for parallel-in-time solution of linear-quadratic optimal control problems
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
Global minima for optimal control of the obstacle problem
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using Pk elements
Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation
Projection-based model reduction with dynamically transformed modes
Central discontinuous Galerkin methods on overlapping meshes for wave equations
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order
Further results on a space-time FOSLS formulation of parabolic PDEs
Numerical analysis for a chemotaxis-Navier-Stokes system
Analysis of a contact problem for a viscoelastic Bresse system
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation
A priori error estimates for the space-time finite element approximation of a quasilinear gradient enhanced damage model
Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients
Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws
An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution
Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data
A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation
Convergence of a scheme for an elastic flow with tangential mesh movement
An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier-Stokes
Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation
Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates
Truncation errors and modified equations for the lattice Boltzmann method via the corresponding Finite Difference schemes
Exponential stabilization for carbon nanotubes modeled as Timoshenko beams with thermoelastic effects
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations
Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain
A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids
Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov-Poincaré operator and spatial error estimates
Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
Analysis of a diffuse interface method for the Stokes-Darcy coupled problem
A fully discrete finite element method for a constrained transport model of the incompressible MHD equations
An evolving space framework for Oseen equations on a moving domain
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
Finite Volume Box Schemes and Mixed Methods
A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
Convergent semidiscretization of a nonlinear fourth order parabolic system
The fourth order accuracy decomposition scheme for an evolution problem
A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
Frozen Gaussian sampling for scalar wave equations
The modelling error in multi-dimensional time-dependent solute transport models
Error estimates for finite element discretizations of the instationary Navier-Stokes equations
An exact in time Fourier pseudospectral method with multiple conservation laws for three-dimensional Maxwell’s equations
An efficient two-grid high-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation
Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data
Stability estimates for systems with small cross-diffusion ,
Fully discrete finite element data assimilation method for the heat equation
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