• # ma2dfc

• Referenced in 210 articles [sw20918]
• Matrix approach to discretization of ODEs and PDEs of arbitrary real order. Functions illustrating matrix ... approach to discretization of ODEs / PDEs with fractional derivatives...
• # RODES

• Referenced in 127 articles [sw30194]
• rigorous ODE solver and Smale’s 14th problem: 5. The RODES Program: The RODES (Rigorous ... ODE Solver) program is a highly adaptive, multiprocessorprogram. As we pointed out earlier, the computations...
• # Taylor

• Referenced in 102 articles [sw10816]
• software package for the numerical integration of ODEs by means of high-order Taylor methods ... initial value problems of ordinary differential equations (ODEs). The main goal is to present ... numerical integrator for a given set of ODEs. The generated code includes a function...
• # torchdiffeq

• Referenced in 86 articles [sw35082]
• torchdiffeq: PyTorch Implementation of Differentiable ODE Solvers. This library provides ordinary differential equation (ODE) solvers ... using the adjoint method. For usage of ODE solvers in deep learning applications...
• # deSolve

• Referenced in 68 articles [sw04499]
• initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations ... system of first-order ordinary differential equations (ODE), of partial differential equations (PDE), of differential ... package contains routines designed for solving ODEs resulting from ... equations (PDE) that have been converted to ODEs by numerical differencing...
• # LOCBIF

• Referenced in 65 articles [sw07928]
• interactive software for bifurcation analysis of ODEs and iterated maps. We present a numerical technique ... equilibrium points and limit cycles of autonomous ODEs, periodic solutions of time-periodic nonautonomous ODEs...
• # Algorithm 919

• Referenced in 71 articles [sw07350]
• large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent ... exponential integrators, which can solve general ODEs. Our approach is to compute the action...
• # PDESpecialSolutions

• Referenced in 65 articles [sw12342]
• nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms are given to find ... exact polynomial solutions of ODEs and PDEs in terms of Jacobi’s elliptic functions...
• # CVODES

• Referenced in 35 articles [sw04946]
• solver for stiff and nonstiff ODE systems (initial value problem) given in explicit form ... available for the integration of the original ODEs, the sensitivity systems, or the adjoint system ... dependent on the solution of the original ODEs. It employs a checkpointing scheme for efficient...