RootSolve

R package rootSolve: Nonlinear root finding, equilibrium and steady-state analysis of ordinary differential equations. Routines to find the root of nonlinear functions, and to perform steady-state and equilibrium analysis of ordinary differential equations (ODE). Includes routines that: (1) generate gradient and Jacobian matrices (full and banded), (2) find roots of non-linear equations by the Newton-Raphson method, (3) estimate steady-state conditions of a system of (differential) equations in full, banded or sparse form, using the Newton-Raphson method, or by dynamically running, (4) solve the steady-state conditions for uni-and multicomponent 1-D, 2-D, and 3-D partial differential equations, that have been converted to ODEs by numerical differencing (using the method-of-lines approach). Includes fortran code.


References in zbMATH (referenced in 18 articles )

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  1. Bradley C. Saul, Michael G. Hudgens: The Calculus of M-Estimation in R with geex (2020) not zbMATH
  2. Garcia, Victor; Bonhoeffer, Sebastian; Fu, Feng: Cancer-induced immunosuppression can enable effectiveness of immunotherapy through bistability generation: a mathematical and computational examination (2020)
  3. Daniel Kaschek; Wolfgang Mader; Mirjam Fehling-Kaschek; Marcus Rosenblatt; Jens Timmer: Dynamic Modeling, Parameter Estimation, and Uncertainty Analysis in R (2019) not zbMATH
  4. Zhang, Qihuang; Yi, Grace Y.: R package for analysis of data with mixed measurement error and misclassification in covariates: augSIMEX (2019)
  5. Stübinger, Johannes; Endres, Sylvia: Pairs trading with a mean-reverting jump-diffusion model on high-frequency data (2018)
  6. Howard, James P. II: Computational methods for numerical analysis with R (2017)
  7. Miller, Anna K.; Munger, Karl; Adler, Frederick R.: A mathematical model of cell cycle dysregulation due to human papillomavirus infection (2017)
  8. Shakil, M.; Ahsanullah, M.: Some inferences on the distribution of the Demmel condition number of complex Wishart matrices (2017)
  9. Chatterjee, Moutushi; Chakraborty, Ashis Kumar: A simple algorithm for calculating values for folded normal distribution (2016)
  10. Gerhart, Christoph: A multiple-curve Lévy forward rate model in a two-price economy (2016)
  11. Pantoja-Hernández, Libertad; Álvarez-Buylla, Elena; Aguilar-Ibáñez, Carlos F.; Garay-Arroyo, Adriana; Soria-López, Alberto; Martínez-García, Juan Carlos: Retroactivity effects dependency on the transcription factors binding mechanisms (2016)
  12. Bloomfield, Victor A.: Using R for numerical analysis in science and engineering (2014)
  13. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: Solving boundary value problems in the open source software R: package bvpSolve (2014)
  14. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: A test set for stiff initial value problem solvers in the open source software R: Package \textbfdeTestSet (2012)
  15. Soetaert, Karline; Cash, Jeff; Mazzia, Francesca: Solving differential equations in R. (2012)
  16. Soetaert, Karline; Petzoldt, Thomas: Solving ODEs, DAEs, DDEs and PDEs in R (2011)
  17. Karline Soetaert; Thomas Petzoldt: Inverse Modelling, Sensitivity and Monte Carlo Analysis in R Using Package FME (2010) not zbMATH
  18. Karline Soetaert; Thomas Petzoldt; R. Setzer: Solving Differential Equations in R: Package deSolve (2010) not zbMATH