MATLAB ODE suite

The MATLAB ODE suite. The paper presents mathematical and software developments that are the basis for a suite of programs for the solution of initial value problems y ’ =F(t,y), with initial conditions y(t 0 )=y 0 . The solvers for stiff problems allow the more general form M(t)y ’ =f(t,y) with a nonsingular and sparse matrix M(t). The programs are developed for MATLAB, which influences the choice of methods and their implementation


References in zbMATH (referenced in 246 articles , 1 standard article )

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  1. Ibrahim, Bashar: Mathematical analysis and modeling of DNA segregation mechanisms (2018)
  2. Kopecz, S.; Meister, A.: On order conditions for modified Patankar-Runge-Kutta schemes (2018)
  3. Famelis, I.Th.; Jackiewicz, Z.: A new approach to the construction of DIMSIMs of high order and stage order (2017)
  4. Quintero, Maria C.; Cordovez, Juan M.: Looking for an efficient and safe hyperthermia therapy: insights from a partial differential equations based model (2017)
  5. Schweizer, Wolfgang: Simulating physical systems. Computational physics with MATLAB (2017)
  6. Soleimani, Behnam; Knoth, Oswald; Weiner, Rüdiger: IMEX peer methods for fast-wave-slow-wave problems (2017)
  7. Soleimani, Behnam; Weiner, Rüdiger: A class of implicit peer methods for stiff systems (2017)
  8. Weiner, R.; Kulikov, G.Yu.; Beck, S.; Bruder, J.: New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations (2017)
  9. Zhao, Xiao; Noack, Stephan; Wiechert, Wolfgang; von Lieres, Eric: Dynamic flux balance analysis with nonlinear objective function (2017)
  10. Balajewicz, Maciej; Tezaur, Irina; Dowell, Earl: Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations (2016)
  11. Conti, R.; Meli, E.; Ridolfi, A.: A full-scale roller-rig for railway vehicles: multibody modelling and Hardware in the Loop architecture (2016)
  12. Corless, Robert M.; Jankowski, Julia E.: Variations on a theme of Euler (2016)
  13. Duch^ene, V.; Israwi, S.; Talhouk, R.: A new class of two-layer Green-Naghdi systems with improved frequency dispersion (2016)
  14. Goulet, D.: Modeling, simulating, and parameter Fitting of biochemical kinetic experiments (2016)
  15. Humbert, T.; Josserand, C.; Touzé, C.; Cadot, O.: Phenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating plates (2016)
  16. Kim, Philsu; Kim, Junghan; Jung, WonKyu; Bu, Sunyoung: An error embedded method based on generalized Chebyshev polynomials (2016)
  17. Kulikov, G.Yu.; Kulikova, M.V.: Estimating the state in stiff continuous-time stochastic systems within extended Kalman filtering (2016)
  18. Kulyamin, Dmitry V.; Dymnikov, Valentin P.: Numerical modelling of coupled neutral atmospheric general circulation and ionosphere D region (2016)
  19. Calvo, M.; Laburta, M.P.; Montijano, J.I.; Rández, L.: Runge-Kutta projection methods with low dispersion and dissipation errors (2015)
  20. Calzada, Juan A.; Obaya, Rafael; Sanz, Ana M.: Continuous separation for monotone skew-product semiflows: from theoretical to numerical results (2015)

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