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 372 articles , 1 standard article )

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  1. 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)
  2. Chatterjee, Abhishek; Ghaednia, Hamid; Bowling, Alan; Brake, Matthew: Estimation of impact forces during multi-point collisions involving small deformations (2021)
  3. Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua: Runge-Kutta Lawson schemes for stochastic differential equations (2021)
  4. Hsu, Shao-Chen; Tadiparthi, Vaishnav; Bhattacharya, Raktim: A Lagrangian method for constrained dynamics in tensegrity systems with compressible bars (2021)
  5. Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D.: Computation of higher order Lie derivatives on the infinity computer (2021)
  6. Liao, Hong-Lin; Zhang, Zhimin: Analysis of adaptive BDF2 scheme for diffusion equations (2021)
  7. Martinson, W. Duncan; Ninomiya, Hirokazu; Byrne, Helen Mary; Maini, Philip Kumar: Comparative analysis of continuum angiogenesis models (2021)
  8. Piloto, Paulo A. G.; Balsa, Carlos; Ribeiro, Fernando; Rigobello, Ronaldo: Computational simulation of the thermal effects on composite slabs under fire conditions (2021)
  9. Sommariva, Sara; Caviglia, Giacomo; Piana, Michele: Gain and loss of function mutations in biological chemical reaction networks: a mathematical model with application to colorectal cancer cells (2021)
  10. Walker, B. J.; Gaffney, E. A.: Regularised non-uniform segments and efficient no-slip elastohydrodynamics (2021)
  11. Abdi, Ali; Conte, Dajana: Implementation of second derivative general linear methods (2020)
  12. Abdi, Ali; Hojjati, Gholamreza: Projection of second derivative methods for ordinary differential equations with invariants (2020)
  13. Abdi, Ali; Hojjati, Gholamreza; Sharifi, Mohammad: Implicit-explicit second derivative diagonally implicit multistage integration methods (2020)
  14. Arévalo, Carmen; Jonsson-Glans, Erik; Olander, Josefine; Soto, Monica Selva; Söderlind, Gustaf: A software platform for adaptive high order multistep methods (2020)
  15. Bitar, D.; Ture Savadkoohi, A.; Lamarque, C.-H.; Gourdon, E.; Collet, M.: Extended complexification method to study nonlinear passive control (2020)
  16. Christov, Ivan C.; Ibraguimov, Akif; Islam, Rahnuma: Long-time asymptotics of non-degenerate non-linear diffusion equations (2020)
  17. Ciro S. Campolina: LogLatt: A computational library for the calculus and flows on logarithmic lattices (2020) arXiv
  18. Diniz-Ehrhardt, M. A.; Ferreira, D. G.; Santos, S. A.: Applying the pattern search implicit filtering algorithm for solving a noisy problem of parameter identification (2020)
  19. Gzal, Majdi; Gendelman, O. V.: Edge states and frequency response in nonlinear forced-damped model of valve spring (2020)
  20. Kazaz, Lorin; Pfister, Christian; Ziegler, Pascal; Eberhard, Peter: Transient gear contact simulations using a floating frame of reference approach and higher-order ansatz functions (2020)

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