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 47 articles )

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  1. Altmann, Robert; Zimmer, Christoph: Exponential integrators for semi-linear parabolic problems with linear constraints (2020)
  2. Bertoli, Guillaume; Vilmart, Gilles: Strang splitting method for semilinear parabolic problems with inhomogeneous boundary conditions: a correction based on the flow of the nonlinearity (2020)
  3. Buvoli, Tommaso: A class of exponential integrators based on spectral deferred correction (2020)
  4. Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu: Nonoverlapping localized exponential time differencing methods for diffusion problems (2020)
  5. Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar: Computable upper error bounds for Krylov approximations to matrix exponentials and associated (\varphi)-functions (2020)
  6. Luan, Vu Thai; Chinomona, Rujeko; Reynolds, Daniel R.: A new class of high-order methods for multirate differential equations (2020)
  7. Narayanamurthi, Mahesh; Sandu, Adrian: Efficient implementation of partitioned stiff exponential Runge-Kutta methods (2020)
  8. Isherwood, Leah; Grant, Zachary J.; Gottlieb, Sigal: Strong stability preserving integrating factor two-step Runge-Kutta methods (2019)
  9. Luan, Vu Thai; Pudykiewicz, Janusz A.; Reynolds, Daniel R.: Further development of efficient and accurate time integration schemes for meteorological models (2019)
  10. Meltzer, A. Y.: An accurate approximation of exponential integrators for the Schrödinger equation (2019)
  11. Narayanamurthi, Mahesh; Tranquilli, Paul; Sandu, Adrian; Tokman, Mayya: EPIRK-(W) and EPIRK-(K) time discretization methods (2019)
  12. Soleymani, Fazlollah; Akgül, Ali: Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach (2019)
  13. Cano, Begoña; Moreta, María Jesús: Exponential quadrature rules without order reduction for integrating linear initial boundary value problems (2018)
  14. Galanin, M. P.; Konev, S. A.: Development and application of an exponential method for integrating stiff systems based on the classical Runge-Kutta method (2018)
  15. Gaudreault, Stéphane; Rainwater, Greg; Tokman, Mayya: KIOPS: a fast adaptive Krylov subspace solver for exponential integrators (2018)
  16. Isherwood, Leah; Grant, Zachary J.; Gottlieb, Sigal: Strong stability preserving integrating factor Runge-Kutta methods (2018)
  17. Rostami, Minghao W.; Xue, Fei: Robust linear stability analysis and a new method for computing the action of the matrix exponential (2018)
  18. Wu, Gang; Pang, Hong-Kui; Sun, Jiang-Li: A shifted block FOM algorithm with deflated restarting for matrix exponential computations (2018)
  19. Einkemmer, Lukas; Tokman, Mayya; Loffeld, John: On the performance of exponential integrators for problems in magnetohydrodynamics (2017)
  20. Li, Dongping; Cong, Yuhao: Approximation of the linear combination of (\varphi)-functions using the block shift-and-invert Krylov subspace method (2017)

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