phipm is the Matlab package described in ”A Krylov subspace algorithm for evaluating the φ-functions appearing in exponential integrators” by Jitse Niesen and Will Wright. To install, copy the files phipm.m and expmnorm.m to a directory where Matlab can find them. Alternatively, download phipm.tar.gz (8.4 MB) which contains these files and scripts to reproduce the plots in the paper.

References in zbMATH (referenced in 70 articles )

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  1. Brachet, M.; Croisille, J.-P.: A center compact scheme for the shallow water equations on the sphere (2022)
  2. Buvoli, Tommaso; Minion, Michael L.: On the stability of exponential integrators for non-diffusive equations (2022)
  3. Caliari, Marco; Cassini, Fabio; Einkemmer, Lukas; Ostermann, Alexander; Zivcovich, Franco: A (\mu)-mode integrator for solving evolution equations in Kronecker form (2022)
  4. Cano, B.; Reguera, N.: How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems (2022)
  5. Jawecki, Tobias: A study of defect-based error estimates for the Krylov approximation of (\varphi)-functions (2022)
  6. Li, Dongping; Yang, Siyu; Lan, Jiamei: Efficient and accurate computation for the (\varphi)-functions arising from exponential integrators (2022)
  7. Pudykiewicz, Janusz A.; Clancy, Colm: Convection experiments with the exponential time integration scheme (2022)
  8. Bertoli, Guillaume; Besse, Christophe; Vilmart, Gilles: Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions (2021)
  9. Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E.: Residual and restarting in Krylov subspace evaluation of the (\varphi) function (2021)
  10. Buvoli, Tommaso: Exponential polynomial block methods (2021)
  11. Chen, Hao; Sun, Hai-Wei: A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations (2021)
  12. Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua: Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes (2021)
  13. Kang, Shinhoo; Bui-Thanh, Tan: A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations (2021)
  14. Luan, Vu Thai: Efficient exponential Runge-Kutta methods of high order: construction and implementation (2021)
  15. Luan, Vu Thai; Michels, Dominik L.: Efficient exponential time integration for simulating nonlinear coupled oscillators (2021)
  16. Meng, Xucheng; Hoang, Thi-Thao-phuong; Wang, Zhu; Ju, Lili: Localized exponential time differencing method for shallow water equations: algorithms and numerical study (2021)
  17. Muñoz-Matute, Judit; Pardo, David; Demkowicz, Leszek: Equivalence between the DPG method and the exponential integrators for linear parabolic problems (2021)
  18. Muñoz-Matute, Judit; Pardo, David; Demkowicz, Leszek: A DPG-based time-marching scheme for linear hyperbolic problems (2021)
  19. Naranjo-Noda, F. S.; Jimenez, J. C.: Locally linearized Runge-Kutta method of Dormand and Prince for large systems of initial value problems (2021)
  20. Narayanamurthi, Mahesh; Sandu, Adrian: Partitioned exponential methods for coupled multiphysics systems (2021)

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