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
Keywords for this software
References in zbMATH (referenced in 372 articles , 1 standard article )
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- 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)
- Chatterjee, Abhishek; Ghaednia, Hamid; Bowling, Alan; Brake, Matthew: Estimation of impact forces during multi-point collisions involving small deformations (2021)
- Debrabant, Kristian; Kværnø, Anne; Mattsson, Nicky Cordua: Runge-Kutta Lawson schemes for stochastic differential equations (2021)
- Hsu, Shao-Chen; Tadiparthi, Vaishnav; Bhattacharya, Raktim: A Lagrangian method for constrained dynamics in tensegrity systems with compressible bars (2021)
- Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D.: Computation of higher order Lie derivatives on the infinity computer (2021)
- Liao, Hong-Lin; Zhang, Zhimin: Analysis of adaptive BDF2 scheme for diffusion equations (2021)
- Martinson, W. Duncan; Ninomiya, Hirokazu; Byrne, Helen Mary; Maini, Philip Kumar: Comparative analysis of continuum angiogenesis models (2021)
- Piloto, Paulo A. G.; Balsa, Carlos; Ribeiro, Fernando; Rigobello, Ronaldo: Computational simulation of the thermal effects on composite slabs under fire conditions (2021)
- 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)
- Walker, B. J.; Gaffney, E. A.: Regularised non-uniform segments and efficient no-slip elastohydrodynamics (2021)
- Abdi, Ali; Conte, Dajana: Implementation of second derivative general linear methods (2020)
- Abdi, Ali; Hojjati, Gholamreza: Projection of second derivative methods for ordinary differential equations with invariants (2020)
- Abdi, Ali; Hojjati, Gholamreza; Sharifi, Mohammad: Implicit-explicit second derivative diagonally implicit multistage integration methods (2020)
- Arévalo, Carmen; Jonsson-Glans, Erik; Olander, Josefine; Soto, Monica Selva; Söderlind, Gustaf: A software platform for adaptive high order multistep methods (2020)
- Bitar, D.; Ture Savadkoohi, A.; Lamarque, C.-H.; Gourdon, E.; Collet, M.: Extended complexification method to study nonlinear passive control (2020)
- Christov, Ivan C.; Ibraguimov, Akif; Islam, Rahnuma: Long-time asymptotics of non-degenerate non-linear diffusion equations (2020)
- Ciro S. Campolina: LogLatt: A computational library for the calculus and flows on logarithmic lattices (2020) arXiv
- 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)
- Gzal, Majdi; Gendelman, O. V.: Edge states and frequency response in nonlinear forced-damped model of valve spring (2020)
- 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)