DOI10.1093/imanum/15.4.555zbMath0834.65092OpenAlexW2095219532MaRDI QIDQ4852684
Alexander Ostermann, Christian Lubich
Publication date: 23 October 1995
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/15.4.555
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations,
Randomised one-step time integration methods for deterministic operator differential equations,
A unified formulation of splitting-based implicit time integration schemes,
Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation,
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems,
\(W\)-methods for semilinear parabolic equations,
A numerical investigation of matrix-free implicit time-stepping methods for large CFD simulations,
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator,
High order linearly implicit methods for evolution equations,
Space-time adaptive linearly implicit peer methods for parabolic problems,
Linearization methods for reaction-diffusion equations: 1-D problems,
Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems,
Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics,
Explicit Exponential Runge–Kutta Methods for Semilinear Integro-Differential Equations,
Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space,
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method,
Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations.,
Adaptive time step control for the incompressible Navier-Stokes equations,
Integration of chemical stiff ODEs using exponential propagation method,
Linearly implicit GARK schemes,
Convergence analysis of spatially adaptive Rothe methods,
Time Discretization for Capillary Flow: Beyond Backward Euler,
A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.,
A New Stiffly Accurate Rosenbrock-Wanner Method for Solving the Incompressible Navier-Stokes Equations,
An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods,
Some secant approximations for Rosenbrock \(W\)-methods,
Backward Euler discretization of fully nonlinear parabolic problems,
A stiffly accurate Rosenbrock-type method of order 2 applied to FE-analyses in finite strain viscoelasticity,
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems,
Runge-Kutta Approximation of Quasi-Linear Parabolic Equations,
Rosenbrock methods with an explicit first stage,
Linearly implicit schemes for a class of dispersive-dissipative systems,
Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator,
New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index,
Exponential Runge-Kutta methods for parabolic problems.,
Numerical simulation of a point-source initiated flame ball with heat losses,
Linearly implicit generalized trapezoidal formulas for nonlinear differential equations,
Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator,
Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods,
Convergence in $\ell_2$ and $\ell_\infty$ Norm of One-Stage AMF-W-Methods for Parabolic Problems,
The Prothero and Robinson example: convergence studies for Runge-Kutta and Rosenbrock-Wanner methods,
High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs,
A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation,
Qualitative analysis of differential, difference equations, and dynamic equations on time scales,
Linearly implicit methods for nonlinear parabolic equations,
Pointwise nonlinear scaling for reaction-diffusion equations,
Difference schemes of optimum degree of implicitness for a family of simple ODEs with blow-up solutions,
High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems,
Stability and error of the variable two-step BDF for semilinear parabolic problems,
Rosenbrock-Wanner Methods: Construction and Mission,
Improved traditional Rosenbrock-Wanner methods for stiff ODEs and DAEs,
Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems,
Stability of W-methods with applications to operator splitting and to geometric theory