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 316 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. Belov, A. A.; Kalitkin, N. N.: Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations (2019)
  3. Curry, Charles; Owren, Brynjulf: Variable step size commutator free Lie group integrators (2019)
  4. Guan, Yu; Gupta, Vikrant; Wan, Minping; Li, Larry K. B.: Forced synchronization of quasiperiodic oscillations in a thermoacoustic system (2019)
  5. Jenkins, Luke T.; Foschi, Martino; Macminn, Christopher W.: Impact of pressure dissipation on fluid injection into layered aquifers (2019)
  6. Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil: Convergence acceleration for time-dependent parametric multifidelity models (2019)
  7. Keskin, Ali Ümit: Boundary value problems for engineers. With MATLAB solutions (2019)
  8. Kirkinis, E.; Andreev, A. V.: Odd-viscosity-induced stabilization of viscous thin liquid films (2019)
  9. Kirkinis, E.; Andreev, A. V.: Healing of thermocapillary film rupture by viscous heating (2019)
  10. Lacitignola, Deborah; Diele, Fasma: On the Z-type control of backward bifurcations in epidemic models (2019)
  11. Maestrini, Davide; Salman, Hayder: Entropy of negative temperature states for a point vortex gas (2019)
  12. Malinzi, Joseph; Amima, Innocenter: Mathematical analysis of a tumour-immune interaction model: a moving boundary problem (2019)
  13. Montijano, J. I.; Podhaisky, H.; Rández, L.; Calvo, M.: A family of (L)-stable singly implicit peer methods for solving stiff IVPs (2019)
  14. Stojsavljevic, Thomas; Pinter, Gabriella; Lauko, Istvan; Myers, Nicholas: Parameter identification and sensitivity analysis for a phytoplankton competition model (2019)
  15. Sulman, M.; Nguyen, T.: A positivity preserving adaptive moving mesh method for cancer cell invasion models (2019)
  16. Walker, Benjamin J.; Ishimoto, K.; Gadêlha, H.; Gaffney, E. A.: Filament mechanics in a half-space via regularised Stokeslet segments (2019)
  17. Abdi, Ali; Behzad, Batoul: Efficient Nordsieck second derivative general linear methods: construction and implementation (2018)
  18. Abdi, Ali; Hosseini, Seyyed Ahmad: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations (2018)
  19. 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)
  20. 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)

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