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 294 articles , 1 standard article )

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  1. Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
  2. Malinzi, Joseph; Amima, Innocenter: Mathematical analysis of a tumour-immune interaction model: a moving boundary problem (2019)
  3. Stojsavljevic, Thomas; Pinter, Gabriella; Lauko, Istvan; Myers, Nicholas: Parameter identification and sensitivity analysis for a phytoplankton competition model (2019)
  4. Abdi, Ali; Behzad, Batoul: Efficient Nordsieck second derivative general linear methods: construction and implementation (2018)
  5. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  6. Al Marzooq, Sadiqah; Ortiz-Lugo, Alvaro; Vaughan, Benjamin L. jun.: Mathematical model of biofilm-mediated pathogen persistence in a water distribution network with time-constant flows (2018)
  7. Angiulli, Giovanni; Jannelli, Alessandra; Morabito, F. Carlo; Versaci, Mario: Reconstructing the membrane detection of a 1D electrostatic-driven MEMS device by the shooting method: convergence analysis and ghost solutions identification (2018)
  8. Ansmann, Gerrit: Efficiently and easily integrating differential equations with JiTCODE, JiTCDDE, and JiTCSDE (2018)
  9. Birkisson, Ásgeir: Automatic reformulation of odes to systems of first-order equations (2018)
  10. Bocher, Philippe; Montijano, Juan I.; Rández, Luis; Van Daele, Marnix: Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum (2018)
  11. Chatterjee, Abhishek; Rodriguez, Adrian; Bowling, Alan: Analytic solution for planar indeterminate impact problems using an energy constraint (2018)
  12. Driscoll, Tobin A.; Braun, Richard J.: Fundamentals of numerical computation (2018)
  13. Fernández-Cara, Enrique; Prouvée, Laurent: Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case (2018)
  14. Garon, Elyse M.; Lambers, James V.: Modeling the diffusion of heat energy within composites of homogeneous materials using the uncertainty principle (2018)
  15. Ghahramani, Ebrahim; Arabnejad, Mohammad Hossein; Bensow, Rickard E.: Realizability improvements to a hybrid mixture-bubble model for simulation of cavitating flows (2018)
  16. 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)
  17. Howcroft, C.; Cook, R. G.; Neild, S. A.; Lowenberg, M. H.; Cooper, J. E.; Coetzee, E. B.: On the geometrically exact low-order modelling of a flexible beam: formulation and numerical tests (2018)
  18. Huttunen, J. M. J.; Kaipio, J. P.; Haario, H.: Approximation error approach in spatiotemporally chaotic models with application to Kuramoto-Sivashinsky equation (2018)
  19. Ibrahim, Bashar: Mathematical analysis and modeling of DNA segregation mechanisms (2018)
  20. Khan, Mohammad Farhan; Spurgeon, Sarah; von der Haar, Tobias: Origins of robustness in translational control via eukaryotic translation initiation factor (eIF) 2 (2018)

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