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 259 articles , 1 standard article )

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  1. Driscoll, Tobin A.; Braun, Richard J.: Fundamentals of numerical computation (2018)
  2. Hoffman, F.; Gavaghan, D.; Osborne, J.; Barrett, I.P.; You, T.; Ghadially, H.; Sainson, R.; Wilkinson, R.W.; Byrne, Helen M.: A mathematical model of antibody-dependent cellular cytotoxicity (ADCC) (2018)
  3. Ibrahim, Bashar: Mathematical analysis and modeling of DNA segregation mechanisms (2018)
  4. Klinge, Marcel; Weiner, Rüdiger: Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations (2018)
  5. Kopecz, S.; Meister, A.: On order conditions for modified Patankar-Runge-Kutta schemes (2018)
  6. Li, Zhilin; Qiao, Zhonghua; Tang, Tao: Numerical solution of differential equations. Introduction to finite difference and finite element methods (2018)
  7. Soleimani, Behnam; Weiner, Rüdiger: Superconvergent IMEX peer methods (2018)
  8. Spiliotis, Konstantinos; Russo, Lucia; Giannino, Francesco; Cuomo, Salvatore; Siettos, Constantinos; Toraldo, Gerardo: Nonlinear Galerkin methods for a system of PDEs with Turing instabilities (2018)
  9. Abbiati, Roberto Andrea; Cagnardi, Petra; Ravasio, Giuliano; Villa, Roberto; Manca, Davide: A physiologically based model for tramadol pharmacokinetics in horses (2017)
  10. Famelis, I.Th.; Jackiewicz, Z.: A new approach to the construction of DIMSIMs of high order and stage order (2017)
  11. Quintero, Maria C.; Cordovez, Juan M.: Looking for an efficient and safe hyperthermia therapy: insights from a partial differential equations based model (2017)
  12. Schweizer, Wolfgang: Simulating physical systems. Computational physics with MATLAB (2017)
  13. Soleimani, Behnam; Knoth, Oswald; Weiner, Rüdiger: IMEX peer methods for fast-wave-slow-wave problems (2017)
  14. Soleimani, Behnam; Weiner, Rüdiger: A class of implicit peer methods for stiff systems (2017)
  15. 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)
  16. Zhao, Xiao; Noack, Stephan; Wiechert, Wolfgang; von Lieres, Eric: Dynamic flux balance analysis with nonlinear objective function (2017)
  17. 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)
  18. Conti, R.; Meli, E.; Ridolfi, A.: A full-scale roller-rig for railway vehicles: multibody modelling and Hardware in the Loop architecture (2016)
  19. Corless, Robert M.; Jankowski, Julia E.: Variations on a theme of Euler (2016)
  20. Duch^ene, V.; Israwi, S.; Talhouk, R.: A new class of two-layer Green-Naghdi systems with improved frequency dispersion (2016)

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