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Titlebook: Rosenbrock—Wanner–Type Methods; Theory and Applicati Tim Jax,Andreas Bartel,Gerd Steinebach Book 2021 The Editor(s) (if applicable) and The

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Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods, networks as well as natural gas or hydrogen networks. First, a general modelling approach using nodes and directed edges is presented and described for selected network elements. The mathematical description of the individual elements leads to coupled linear and nonlinear algebraic equations, and t
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Two-Step W-Methods,allow to avoid order reduction for stiff problems. We give an overview about order conditions and stability. In detail we consider the superconvergence of these methods for variable step sizes and construct stiffly accurate methods which are superconvergent of order . = . + 1. Numerical tests show t
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Exponential Rosenbrock Methods and Their Application in Visual Computing,ompared to standard techniques. In particular, we address the simulation of elastic and nonelastic deformations as well as collision scenarios focusing on relevant aspects like stability and energy conservation, large stiffnesses, high fidelity and visual accuracy.
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W-Methods and Approximate Matrix Factorization for Parabolic PDEs with Mixed Derivative Terms, either periodic or homogeneous Dirichlet boundary conditions are imposed. Numerical results comparing the proposed AMF-type W-methods and some classical ADI schemes in the literature for 2 ≤ . ≤ 4 space dimensions are presented.
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