A second order backward difference method with variable steps for a parabolic problem
From MaRDI portal
Publication:1279692
DOI10.1007/BF02510406zbMath0923.65050OpenAlexW2030940697MaRDI QIDQ1279692
Publication date: 15 October 1999
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02510406
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection ⋮ Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation ⋮ Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations ⋮ Time filters increase accuracy of the fully implicit method ⋮ A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems ⋮ Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model ⋮ Sharp error estimate of an implicit BDF2 scheme with variable time steps for the phase field crystal model ⋮ Fully-geometric mesh one-leg methods for the generalized pantograph equation: approximating Lyapunov functional and asymptotic contractivity ⋮ A mass-spring fluid-structure interaction solver: application to flexible revolving wings ⋮ A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation ⋮ A weak Galerkin finite element method for Allen–Cahn equation with a nonuniform two‐step backward differentiation formula scheme ⋮ Asymptotics and discretization of a weakly singular kernel: application to viscous flows in a network of thin tubes ⋮ Sharp L2 norm convergence of variable-step BDF2 implicit scheme for the extended Fisher-Kolmogorov equation ⋮ Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations ⋮ An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows ⋮ A variable step‐size extrapolated Crank–Nicolson method for option pricing under stochastic volatility model with jump ⋮ An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection ⋮ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ The variable two-step BDF method for parabolic equations ⋮ A positivity-preserving, energy stable BDF2 scheme with variable steps for the Cahn-Hilliard equation with logarithmic potential ⋮ Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations ⋮ Numerical analysis of a convex-splitting BDF2 method with variable time-steps for the Cahn-Hilliard model ⋮ Convergence and superconvergence analysis of a nonconforming finite element variable-time-step BDF2 implicit scheme for linear reaction-diffusion equations ⋮ On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation ⋮ An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model ⋮ A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems ⋮ Stability of linear multistep methods and applications to nonlinear parabolic problems. ⋮ A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation ⋮ An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function ⋮ Shout options: A framework for pricing contracts which can be modified by the investor ⋮ An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations ⋮ Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data ⋮ Fluid-structure interaction using volume penalization and mass-spring models with application to flapping bumblebee flight ⋮ Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations ⋮ Numerical simulation of fluid-structure interaction with the volume penalization method ⋮ Stability and convergence of second order backward differentiation schemes for parabolic Hamilton-Jacobi-Bellman equations ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations ⋮ On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance ⋮ Stability and error of the variable two-step BDF for semilinear parabolic problems ⋮ Unconditional error analysis of a linearized BDF2 virtual element method for nonlinear Ginzburg-Landau equation with variable time step ⋮ Analysis of adaptive BDF2 scheme for diffusion equations ⋮ A posteriori error control and adaptivity for the IMEX BDF2 method for PIDEs with application to options pricing models ⋮ A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation ⋮ Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula ⋮ Estimates of variable stepsize Runge-Kutta methods for sectorial evolution equations with nonsmooth data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of linear multistep methods for sectorial operators in Banach spaces
- Stability of multistep-methods on variable grids
- \(A(\Theta)\)-stable approximation of abstract Cauchy problems
- Stability of Two-Step Methods for Variable Integration Steps
- Semidiscretization in Time for Parabolic Problems
- Some Convergence Estimates for Semidiscrete Type Schemes for Time-Dependent Nonselfadjoint Parabolic Equations
- Some Remarks on Variable Step Integration
- Incomplete Iterations in Multistep Backward Difference Methods for Parabolic Problems with Smooth and Nonsmooth Data
- On the Backward Euler Method for Parabolic Equations with Rough Initial Data
- Variable Step Size Multistep Methods for Parabolic Problems
- Finite Element Multistep Discretizations of Parabolic Boundary Value Problems
- Numerical solution of an evolution equation with a positive-type memory term
- On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups
- Stability of Time-Stepping Methods for Abstract Time-Dependent Parabolic Problems
- Stability of Rational Multistep Approximations of Holomorphic Semigroups
