Rosenbrock-Wanner Methods: Construction and Mission (Q5014038)

scientific article; zbMATH DE number 7438771

Language	Label	Description	Also known as
English	Rosenbrock-Wanner Methods: Construction and Mission	scientific article; zbMATH DE number 7438771

Statements

instance of

scholarly article

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title

Rosenbrock-Wanner Methods: Construction and Mission (English)

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published in

Rosenbrock—Wanner–Type Methods

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publication date

3 December 2021

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full work available at URL

https://arxiv.org/abs/2002.12028

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zbMATH Keywords

linearly implicit time integrators

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stiff systems

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Rosenbrock-Wanner methods

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W-methods

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two-step Rosenbrock-Peer methods

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two-step W-methods

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MaRDI profile type

MaRDI publication profile

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Comparing numerical methods for stiff systems of O.D.E:s

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High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs

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Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations

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Q3896439

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Q4000061

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Exponential Rosenbrock-Type Methods

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Construction of highly stable two-step W-methods for ordinary differential equations

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Generalized ROW-type methods for solving semi-explicit DAEs of index-1

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Linearly implicit peer methods for the compressible Euler equations

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Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations

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A study of Rosenbrock-type methods of high order

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Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique

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Q5849203

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Comparison of the asymptotic stability for multirate Rosenbrock methods

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ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems

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On Global Error Estimation and Control for Initial Value Problems

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W-methods in optimal control

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Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons

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Parallel exponential Rosenbrock methods

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Linearly implicit extrapolation methods for differential-algebraic systems

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Linearly implicit time discretization of non-linear parabolic equations

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Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative

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High-order linearly implicit two-step peer schemes for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations

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Strong convergence analysis of the stochastic exponential Rosenbrock scheme for the finite element discretization of semilinear SPDEs driven by multiplicative and additive noise

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Order conditions for Rosenbrock type methods

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Continuous extensions of Rosenbrock-type methods

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The solution of a combustion problem with Rosenbrock methods

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Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence

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Design, analysis and testing of some parallel two-step W-methods for stiff systems

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Two-step W-methods for stiff ODE systems

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Q4360705

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High-order \(W\)-methods

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An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods

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Improved traditional Rosenbrock-Wanner methods for stiff ODEs and DAEs

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New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index

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Partitioned Runge-Kutta methods with stiffness detection and stepsize control

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The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations

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Some general implicit processes for the numerical solution of differential equations

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Construction of a multirate RODAS method for stiff ODEs

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Order barriers for the B-convergence of ROW methods

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Q3967011

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Space-time adaptive linearly implicit peer methods for parabolic problems

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Implementation of Rosenbrock Methods

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The MATLAB ODE Suite

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Peer methods for the one-dimensional shallow-water equations with CWENO space discretization

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An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations

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B-convergence results for linearly implicit one step methods

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Q4023170

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On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems

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Numerik gewöhnlicher Differentialgleichungen

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D-stability and Kaps-Rentrop-methods

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An Analysis of Rosenbrock Methods for Nonlinear Stiff Initial Value Problems

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Instructive experiments with some Runge-Kutta-Rosenbrock methods

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A Class of Runge-Kutta-Rosenbrock Methods for Solving Stiff Differential Equations

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Q4134855

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On the choice of γ for singly-implicit RK or Rosenbrock methods

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ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs

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Howard Harry Rosenbrock [Obituary]

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An eight stage fourth order partitioned Rosenbrock method for multibody systems in index-3 formulation

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A note on unconditionally stable linear multistep methods

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A note on a recent result of rational approximations to the exponential function

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Rosenbrock-type `peer' two-step methods

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Multirate ROW methods and latency of electric circuits

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Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

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Implementation of exponential Rosenbrock-type integrators

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A special stability problem for linear multistep methods

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On asymptotic global error estimation and control of finite difference solutions for semilinear parabolic equations

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Rosenbrock Methods using few LU-Decompositions

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Rosenbrock methods for differential algebraic equations

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Comparison of the asymptotic stability properties for two multirate strategies

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Identifiers

zbMATH Open document ID

1477.65008

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DOI

10.1007/978-3-030-76810-2_1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5014038