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 405 articles , 1 standard article )

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  1. Apiyo, D.; Mouton, J. M.; Louw, C.; Sampson, S. L.; Louw, T. M.: Dynamic mathematical model development and validation of \textitinvitro Mycobacterium smegmatis growth under nutrient- and pH-stress (2022)
  2. Blühdorn, Johannes; Gauger, Nicolas R.; Kabel, Matthias: AutoMat: automatic differentiation for generalized standard materials on GPUs (2022)
  3. Nasr, Walid W.: Inventory systems with stochastic and batch demand: computational approaches (2022)
  4. Siettos, Constantinos; Russo, Lucia: A numerical method for the approximation of stable and unstable manifolds of microscopic simulators (2022)
  5. Abdi, Ali; Hojjati, Gholamreza: Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants (2021)
  6. Alì, Giuseppe; Bilotta, Eleonora; Chiaravalloti, Francesco; Pantano, Pietro; Pezzi, Oreste; Scuro, Carmelo; Valentini, Francesco: Spatiotemporal pattern formation in a ring of Chua’s oscillators (2021)
  7. Ávila, Andrés I.; González, Galo Javier; Kopecz, Stefan; Meister, Andreas: Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver’s approach (2021)
  8. Borges, J. S.; Ferreira, J. A.; Romanazzi, G.; Abreu, E.: Drug release from viscoelastic polymeric matrices -- a stable and supraconvergent FDM (2021)
  9. Chatterjee, Abhishek; Ghaednia, Hamid; Bowling, Alan; Brake, Matthew: Estimation of impact forces during multi-point collisions involving small deformations (2021)
  10. Coskun, Erhan: On the properties of a single vortex solution of Ginzburg-Landau model of superconductivity (2021)
  11. Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua: Runge-Kutta Lawson schemes for stochastic differential equations (2021)
  12. Esmaeelzadeh, Zahra; Abdi, Ali; Hojjati, Gholamreza: EBDF-type methods based on the linear barycentric rational interpolants for stiff IVPs (2021)
  13. Fan, W.: An efficient recursive rotational-coordinate-based formulation of a planar Euler-Bernoulli beam (2021)
  14. Garashchuk, I. R.: Asynchronous chaos and bifurcations in a model of two coupled identical Hindmarsh-Rose neurons (2021)
  15. Ghahramani, Ebrahim; Ström, H.; Bensow, R. E.: Numerical simulation and analysis of multi-scale cavitating flows (2021)
  16. Hsu, Shao-Chen; Tadiparthi, Vaishnav; Bhattacharya, Raktim: A Lagrangian method for constrained dynamics in tensegrity systems with compressible bars (2021)
  17. Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D.: Computation of higher order Lie derivatives on the infinity computer (2021)
  18. Iyaniwura, Sarafa A.; Ward, Michael J.: Localised signalling compartments in 2D coupled by a bulk diffusion field: quorum sensing and synchronous oscillations in the well-mixed limit (2021)
  19. Jalilian, A.; Abdi, A.; Hojjati, G.: Variable stepsize SDIMSIMs for ordinary differential equations (2021)
  20. Liao, Hong-Lin; Zhang, Zhimin: Analysis of adaptive BDF2 scheme for diffusion equations (2021)

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