Second-order stabilized explicit Runge-Kutta methods for stiff problems
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Publication:711831
DOI10.1016/j.cpc.2009.05.006zbMath1197.65006OpenAlexW2006921957MaRDI QIDQ711831
Publication date: 28 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2009.05.006
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Software, source code, etc. for problems pertaining to numerical analysis (65-04)
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Uses Software
Cites Work
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- The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
- Adaptive stepsize based on control theory for stochastic differential equations
- Stiffness of ODEs
- Exponentially fitted variable two-step BDF algorithm for first order ODEs
- Exponential fitting BDF-Runge-Kutta algorithms
- Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations
- On stabilized integration for time-dependent PDEs
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- A PI stepsize control for the numerical solution of ordinary differential equations
- High order explicit methods for parabolic equations
- RKC: An explicit solver for parabolic PDEs
- Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?
- Frequency evaluation in exponential fitting multistep algorithms for ODEs
- ARK methods for stiff problems
- Stiff differential equations solved by Radau methods
- Adapted BDF algorithms: Higher-order methods and their stability
- Exponential fitting BDF algorithms: explicit and implicit 0-stable methods
- IRKC: an IMEX solver for stiff diffusion-reaction PDEs
- Frequency evaluation for exponentially fitted Runge-Kutta methods
- Fourth Order Chebyshev Methods with Recurrence Relation
- Control Strategies for the Iterative Solution of Nonlinear Equations in ODE Solvers
- Analysis of Stepsize Selection Schemes for Runge-Kutta Codes
- VODE: A Variable-Coefficient ODE Solver
- On the Internal Stability of Explicit,m-Stage Runge-Kutta Methods for Largem-Values
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- A-BDF: A Generalization of the Backward Differentiation Formulae
- Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
- Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
- A new method for determining the roots of polynomials of least deviation on a segment with weight and subject to additional conditions. Part I
- A new method for determining the roots of polynomials of least deviation on a segment with weight and subject to additional conditions. Part II
- Approximation von Funktionen und ihre numerische Behandlung
- Weights of the exponential fitting multistep algorithms for first-order ODEs
- Second order Chebyshev methods based on orthogonal polynomials
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