Rk-opt

Rk-opt: software for the design of Runge–Kutta methods. RK-opt is a collection of MATLAB code for designing optimized Runge-Kutta methods. It is primarily developed and used by the KAUST Numerical Mathematics Group. It includes the following sub-packages: RK-coeff-opt: Find optimal Runge-Kutta method coefficients, for a prescribed order of accuracy and number of stages. am_rad-opt: Find stability functions with optimal radius of absolute monotonicity. Includes capabilities for both multistep and multistage methods. polyopt: Find optimal stability polynomials of a given degree and order of accuracy for a specified spectrum. RKtools: A collection of routines for analyzing or computing various properties of Runge-Kutta methods. For a much more extensive package along these lines, see NodePy.

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References in zbMATH (referenced in 7 articles )

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  1. David I. Ketcheson, Hendrik Ranocha, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael: NodePy: A package for the analysis of numerical ODE solvers (2020) not zbMATH
  2. Grant, Zachary; Gottlieb, Sigal; Seal, David C.: A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions (2019)
  3. Higueras, I.; Roldán, T.: New third order low-storage SSP explicit Runge-Kutta methods (2019)
  4. Higueras, I.; Roldán, T.: Strong stability preserving properties of composition Runge-Kutta schemes (2019)
  5. Conde, Sidafa; Gottlieb, Sigal; Grant, Zachary J.; Shadid, John N.: Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order (2017)
  6. Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C.: Explicit strong stability preserving multistage two-derivative time-stepping schemes (2016)
  7. Gottlieb, Sigal; Grant, Zachary; Higgs, Daniel: Optimal explicit strong stability preserving Runge-Kutta methods with high linear order and optimal nonlinear order (2015)