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 335 articles , 1 standard article )

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  1. Abdi, Ali; Hojjati, Gholamreza: Projection of second derivative methods for ordinary differential equations with invariants (2020)
  2. Ciro S. Campolina: LogLatt: A computational library for the calculus and flows on logarithmic lattices (2020) arXiv
  3. Gzal, Majdi; Gendelman, O. V.: Edge states and frequency response in nonlinear forced-damped model of valve spring (2020)
  4. Kulikov, G. Yu.; Weiner, R.: Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations (2020)
  5. Suarez, Gonzalo P.; Udiani, Oyita; Allan, Brian F.; Price, Candice; Ryan, Sadie J.; Lofgren, Eric; Coman, Alin; Stone, Chris M.; Gallos, Lazaros K.; Fefferman, Nina H.: A generic arboviral model framework for exploring trade-offs between vector control and environmental concerns (2020)
  6. Towne, Aaron; Lozano-Durán, Adrián; Yang, Xiang: Resolvent-based estimation of space-time flow statistics (2020)
  7. Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
  8. Belov, A. A.; Kalitkin, N. N.: Efficient numerical integration methods for the Cauchy problem for stiff systems of ordinary differential equations (2019)
  9. Bhatoo, Omishwary; Peer, Arshad Ahmud Iqbal; Tadmor, Eitan; Tangman, Désiré Yannick; Saib, Aslam Aly El Faidal: Conservative third-order central-upwind schemes for option pricing problems (2019)
  10. Caputo, Jean-Guy; Dutykh, Denys; Gleyse, Bernard: Coupling conditions for water waves at forks (2019)
  11. Curry, Charles; Owren, Brynjulf: Variable step size commutator free Lie group integrators (2019)
  12. Guan, Yu; Gupta, Vikrant; Wan, Minping; Li, Larry K. B.: Forced synchronization of quasiperiodic oscillations in a thermoacoustic system (2019)
  13. Hinze, Matthias; Schmidt, André; Leine, Remco I.: Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation (2019)
  14. Jenkins, Luke T.; Foschi, Martino; MacMinn, Christopher W.: Impact of pressure dissipation on fluid injection into layered aquifers (2019)
  15. Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil: Convergence acceleration for time-dependent parametric multifidelity models (2019)
  16. Keskin, Ali Ümit: Boundary value problems for engineers. With MATLAB solutions (2019)
  17. Kirkinis, E.; Andreev, A. V.: Odd-viscosity-induced stabilization of viscous thin liquid films (2019)
  18. Kirkinis, E.; Andreev, A. V.: Healing of thermocapillary film rupture by viscous heating (2019)
  19. Lacitignola, Deborah; Diele, Fasma: On the Z-type control of backward bifurcations in epidemic models (2019)
  20. Liang, Shiuan-Ni; Le, Duy-Manh; Lai, Pik-Yin: Cardiac alternans suppression under (T\pm\epsilon) feedback control: nonlinear dynamics analysis (2019)

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