Ecosyste.ms: Packages

An open API service providing package, version and dependency metadata of many open source software ecosystems and registries.

juliahub.com "scientific-machine-learning" keyword

Top 7.4% on juliahub.com
NonlinearSolve 3.10.0 💰
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfi...
81 versions - Latest release: 13 days ago - 24 dependent packages - 206 stars on GitHub
Top 0.8% on juliahub.com
OrdinaryDiffEq 6.74.1 💰
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) s...
352 versions - Latest release: about 1 month ago - 124 dependent packages - 59 dependent repositories - 498 stars on GitHub
ReservoirComputing 0.10.2 💰
Reservoir computing utilities for scientific machine learning (SciML)
24 versions - Latest release: about 2 months ago - 199 stars on GitHub
PoissonRandom 0.4.4 💰
Fast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
9 versions - Latest release: about 1 year ago - 8 dependent packages - 15 stars on GitHub
NeuralPDELogging 0.1.0 💰
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientifi...
1 version - Latest release: almost 5 years ago - 902 stars on GitHub
Top 6.0% on juliahub.com
NeuralPDE 5.16.0 💰
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientifi...
64 versions - Latest release: 22 days ago - 3 dependent packages - 902 stars on GitHub
Top 7.6% on juliahub.com
JumpProcesses 9.11.1 💰
Build and simulate jump equations like Gillespie simulations and jump diffusions with constant an...
31 versions - Latest release: about 1 month ago - 8 dependent packages - 133 stars on GitHub
Top 0.6% on juliahub.com
DifferentialEquations 7.13.0 💰
Multi-language suite for high-performance solvers of differential equations and scientific machin...
45 versions - Latest release: about 2 months ago - 94 dependent packages - 28 dependent repositories - 2,758 stars on GitHub
Top 3.9% on juliahub.com
DiffEqFlux 3.4.0 💰
Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, ...
110 versions - Latest release: 30 days ago - 14 dependent packages - 836 stars on GitHub
Top 4.7% on juliahub.com
DiffEqCallbacks 3.6.1 💰
A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented diffe...
67 versions - Latest release: 15 days ago - 47 dependent packages - 12 dependent repositories - 84 stars on GitHub
Top 4.9% on juliahub.com
Catalyst 13.5.1 💰
Chemical reaction network and systems biology interface for scientific machine learning (SciML). ...
72 versions - Latest release: 6 months ago - 16 dependent packages - 422 stars on GitHub
Top 1.0% on juliahub.com
ModelingToolkit 9.12.1 💰
An acausal modeling framework for automatically parallelized scientific machine learning (SciML) ...
337 versions - Latest release: 6 days ago - 85 dependent packages - 14 dependent repositories - 1,336 stars on GitHub
Kinetic 0.7.10
Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann eq...
18 versions - Latest release: 11 months ago - 1 dependent package - 114 stars on GitHub
SymbolicIndexingInterface 0.3.16 💰
A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specif...
22 versions - Latest release: 15 days ago - 4 dependent packages - 9 stars on GitHub
ODINN 0.1.0
Global glacier model using Universal Differential Equations for climate-glacier interactions
1 version - Latest release: about 2 years ago - 49 stars on GitHub
Top 8.3% on juliahub.com
QuasiMonteCarlo 0.3.3 💰
Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on...
27 versions - Latest release: 5 months ago - 12 dependent packages - 97 stars on GitHub
Top 1.3% on juliahub.com
DiffEqBase 6.149.1 💰
The lightweight Base library for shared types and functionality for defining differential equatio...
479 versions - Latest release: 9 days ago - 136 dependent packages - 65 dependent repositories - 295 stars on GitHub
Top 6.7% on juliahub.com
SciMLSensitivity 7.56.2 💰
A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine lear...
78 versions - Latest release: about 1 month ago - 11 dependent packages - 306 stars on GitHub
SciMLBenchmarks 0.1.3 💰
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solve...
4 versions - Latest release: 9 months ago - 289 stars on GitHub
LinearSolvePardiso 0.1.1 💰
LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch bet...
2 versions - Latest release: over 2 years ago - 220 stars on GitHub
LinearSolveCUDA 0.1.0 💰
LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch bet...
1 version - Latest release: over 2 years ago - 220 stars on GitHub
Top 6.4% on juliahub.com
LinearSolve 2.29.1 💰
LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch bet...
161 versions - Latest release: 4 days ago - 27 dependent packages - 220 stars on GitHub
OptimizationMetaheuristics 0.2.0 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
5 versions - Latest release: over 3 years ago - 1 dependent package - 655 stars on GitHub
Top 7.5% on juliahub.com
OptimizationOptimisers 0.2.1 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
9 versions - Latest release: over 3 years ago - 4 dependent packages - 655 stars on GitHub
OptimizationMultistartOptimization 0.2.0 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
6 versions - Latest release: over 3 years ago - 655 stars on GitHub
Top 9.1% on juliahub.com
OptimizationBBO 0.2.1 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
8 versions - Latest release: over 3 years ago - 3 dependent packages - 655 stars on GitHub
Top 4.0% on juliahub.com
Optimization 3.24.3 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
47 versions - Latest release: about 1 month ago - 35 dependent packages - 655 stars on GitHub
OptimizationSpeedMapping 0.1.5 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
6 versions - Latest release: 11 months ago - 655 stars on GitHub
Top 6.6% on juliahub.com
OptimizationNLopt 0.2.0 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
10 versions - Latest release: over 3 years ago - 3 dependent packages - 655 stars on GitHub
OptimizationEvolutionary 0.3.0 💰
Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Qu...
8 versions - Latest release: over 3 years ago - 655 stars on GitHub
Top 3.4% on juliahub.com
StochasticDiffEq 6.65.1 💰
Solvers for stochastic differential equations which connect with the scientific machine learning ...
132 versions - Latest release: 2 months ago - 16 dependent packages - 9 dependent repositories - 233 stars on GitHub
DiffEqGPU 3.4.1 💰
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine l...
52 versions - Latest release: 3 months ago - 1 dependent package - 267 stars on GitHub
DiffEqBayes 3.6.1 💰
Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the paramete...
49 versions - Latest release: 4 months ago - 1 dependent package - 119 stars on GitHub
Top 9.1% on juliahub.com
ExponentialUtilities 1.26.1 💰
Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector ...
39 versions - Latest release: 2 months ago - 8 dependent packages - 91 stars on GitHub
SimpleNonlinearSolve 1.7.0 💰
Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Fal...
42 versions - Latest release: 27 days ago - 10 dependent packages - 60 stars on GitHub
Top 9.5% on juliahub.com
ODE 2.15.0 💰
Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). De...
16 versions - Latest release: over 1 year ago - 1 dependent package - 6 dependent repositories - 106 stars on GitHub
RootedTrees 2.21.1 💰
A collection of functionality around rooted trees to generate order conditions for Runge-Kutta me...
59 versions - Latest release: 20 days ago - 2 dependent packages - 36 stars on GitHub
Top 9.0% on juliahub.com
PolyChaos 0.2.11 💰
A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with poly...
16 versions - Latest release: about 1 year ago - 3 dependent packages - 112 stars on GitHub
BoundaryValueDiffEq 5.7.1 💰
Boundary value problem (BVP) solvers for scientific machine learning (SciML)
33 versions - Latest release: about 1 month ago - 4 dependent packages - 1 dependent repositories - 39 stars on GitHub
SciMLTutorials 1.0.0 💰
Tutorials for doing scientific machine learning (SciML) and high-performance differential equatio...
3 versions - Latest release: over 2 years ago - 706 stars on GitHub
SymbolicNumericIntegration 1.3.2 💰
SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
9 versions - Latest release: 4 months ago - 113 stars on GitHub
Top 8.7% on juliahub.com
DelayDiffEq 5.47.3 💰
Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecos...
105 versions - Latest release: 3 days ago - 6 dependent packages - 4 dependent repositories - 57 stars on GitHub
Top 4.7% on juliahub.com
DiffEqOperators 4.45.0 💰
Linear operators for discretizations of differential equations and scientific machine learning (S...
63 versions - Latest release: about 1 year ago - 12 dependent packages - 283 stars on GitHub
Top 7.4% on juliahub.com
Integrals 4.4.1 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
20 versions - Latest release: about 2 months ago - 9 dependent packages - 202 stars on GitHub
Top 7.4% on juliahub.com
Quadrature 2.1.0 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
18 versions - Latest release: over 1 year ago - 7 dependent packages - 202 stars on GitHub
Top 2.9% on juliahub.com
RecursiveArrayTools 3.13.0 💰
Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine...
169 versions - Latest release: about 1 month ago - 104 dependent packages - 8 dependent repositories - 197 stars on GitHub
QuadratureCuba 0.1.1 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
2 versions - Latest release: over 4 years ago - 202 stars on GitHub
IntegralsCuba 0.3.0 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
4 versions - Latest release: 7 months ago - 202 stars on GitHub
QuadratureCubature 0.1.1 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
2 versions - Latest release: over 4 years ago - 1 dependent package - 202 stars on GitHub
IntegralsCubature 0.2.3 💰
A common interface for quadrature and numerical integration for the SciML scientific machine lear...
4 versions - Latest release: 7 months ago - 1 dependent package - 202 stars on GitHub
DiffEqMonteCarlo 1.0.0 💰
Monte Carlo simulation routines for high-performance parallelization of differential equation sol...
12 versions - Latest release: over 4 years ago - 2 dependent repositories - 11 stars on GitHub
CommonSolve 0.2.4 💰
A common solve function for scientific machine learning (SciML) and beyond
6 versions - Latest release: 11 months ago - 29 dependent packages - 15 stars on GitHub
Top 9.3% on juliahub.com
SurrogatesFlux 0.1.0 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
1 version - Latest release: over 4 years ago - 1 dependent package - 312 stars on GitHub
DASKR 2.9.1 💰
Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learn...
12 versions - Latest release: over 1 year ago - 12 stars on GitHub
Top 9.3% on juliahub.com
SurrogatesPolyChaos 0.1.0 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
1 version - Latest release: over 4 years ago - 1 dependent package - 312 stars on GitHub
SurrogatesSVM 0.1.0 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
1 version - Latest release: over 4 years ago - 300 stars on GitHub
Top 9.3% on juliahub.com
SurrogatesRandomForest 0.1.1 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
2 versions - Latest release: over 4 years ago - 1 dependent package - 300 stars on GitHub
SurrogatesAbstractGPs 0.1.0 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
1 version - Latest release: over 4 years ago - 300 stars on GitHub
Top 5.4% on juliahub.com
Surrogates 6.9.0 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
40 versions - Latest release: 4 months ago - 8 dependent packages - 300 stars on GitHub
SurrogatesMOE 0.1.4 💰
Surrogate modeling and optimization for scientific machine learning (SciML)
5 versions - Latest release: 3 months ago - 300 stars on GitHub
FEniCS 0.4.1 💰
A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia ...
6 versions - Latest release: over 1 year ago - 93 stars on GitHub
HighDimPDE 1.2.1 💰
A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac m...
2 versions - Latest release: over 1 year ago - 65 stars on GitHub
PyDSTool 0.6.1 💰
A wrapper for the Python PyDSTool library for the SciML Scientific Machine Learning organization
3 versions - Latest release: over 3 years ago - 7 stars on GitHub
MultiScaleArrays 1.12.0 💰
A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simu...
18 versions - Latest release: 5 months ago - 2 dependent packages - 2 dependent repositories - 70 stars on GitHub
DiffEqPDEBase 0.4.0 💰
Library for common tools for solving PDEs with finite difference methods (FDM), finite volume met...
1 version - Latest release: over 6 years ago - 8 dependent repositories - 5 stars on GitHub
Top 7.2% on juliahub.com
ParameterizedFunctions 5.17.0 💰
A simple domain-specific language (DSL) for defining differential equations for use in scientific...
44 versions - Latest release: 22 days ago - 7 dependent packages - 12 dependent repositories - 76 stars on GitHub
SimpleDiffEq 1.11.1 💰
Simple differential equation solvers in native Julia for scientific machine learning (SciML)
25 versions - Latest release: 4 months ago - 3 dependent packages - 22 stars on GitHub
DASSL 2.6.1 💰
Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite diff...
8 versions - Latest release: over 1 year ago - 1 dependent repositories - 31 stars on GitHub
ODEInterfaceDiffEq 3.13.3 💰
Adds the common API onto ODEInterface classic Fortran methods for the SciML Scientific Machine Le...
30 versions - Latest release: 7 months ago - 1 dependent package - 9 stars on GitHub
Top 9.6% on juliahub.com
DiffEqDevTools 2.44.3 💰
Benchmarking, testing, and development tools for differential equations and scientific machine le...
67 versions - Latest release: 6 days ago - 2 dependent packages - 12 dependent repositories - 46 stars on GitHub
DiffEqPhysics 3.12.0 💰
A library for building differential equations arising from physical problems for physics-informed...
14 versions - Latest release: 7 months ago - 2 dependent packages - 2 dependent repositories - 48 stars on GitHub
DimensionalPlotRecipes 1.2.0 💰
High dimensional numbers and reductions recipes for data visualization of scientific machine lear...
6 versions - Latest release: about 4 years ago - 1 dependent package - 2 dependent repositories - 13 stars on GitHub
Top 2.3% on juliahub.com
Sundials 4.24.0 💰
Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and...
91 versions - Latest release: 2 months ago - 32 dependent packages - 23 dependent repositories - 203 stars on GitHub
DataDrivenDMD 0.1.1 💰
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machin...
2 versions - Latest release: over 4 years ago - 397 stars on GitHub
DataDrivenSR 0.1.2 💰
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machin...
3 versions - Latest release: about 4 years ago - 397 stars on GitHub
SciMLExpectations 2.2.0 💰
Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
4 versions - Latest release: 2 months ago - 1 dependent package - 61 stars on GitHub
Top 7.2% on juliahub.com
LabelledArrays 1.15.1 💰
Arrays which also have a label for each element for easy scientific machine learning (SciML)
54 versions - Latest release: 3 months ago - 24 dependent packages - 117 stars on GitHub
DataDrivenLux 0.1.1 💰
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machin...
2 versions - Latest release: over 4 years ago - 397 stars on GitHub
DataDrivenSparse 0.1.2 💰
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machin...
3 versions - Latest release: about 4 years ago - 1 dependent package - 397 stars on GitHub
Top 5.7% on juliahub.com
DataDrivenDiffEq 1.4.0 💰
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machin...
45 versions - Latest release: about 1 month ago - 6 dependent packages - 397 stars on GitHub
Top 7.3% on juliahub.com
DiffEqNoiseProcess 5.21.0 💰
A library of noise processes for stochastic systems like stochastic differential equations (SDEs)...
85 versions - Latest release: about 2 months ago - 11 dependent packages - 2 dependent repositories - 61 stars on GitHub
ResettableStacks 1.1.1 💰
A stack implementation with a reset! function which avoids garbage collection for scientific mach...
7 versions - Latest release: over 1 year ago - 1 dependent package - 7 stars on GitHub
GeometricIntegratorsDiffEq 0.2.5 💰
Wrappers for GeometricIntegrators.jl into the SciML common interface for scientific machine learn...
9 versions - Latest release: over 1 year ago - 9 stars on GitHub
SciMLOperators 0.3.8 💰
SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interfa...
45 versions - Latest release: 2 months ago - 15 dependent packages - 41 stars on GitHub
SparsityDetection 0.3.4 💰
Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine l...
9 versions - Latest release: about 3 years ago - 5 dependent packages - 58 stars on GitHub
SciPyDiffEq 0.2.1 💰
Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning or...
3 versions - Latest release: over 1 year ago - 20 stars on GitHub
StochasticDelayDiffEq 1.6.1 💰
Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ...
24 versions - Latest release: 4 months ago - 22 stars on GitHub
deSolveDiffEq 0.1.1 💰
Wrappers for calling the R deSolve differential equation solvers from Julia for scientific machin...
2 versions - Latest release: over 1 year ago - 9 stars on GitHub
MATLABDiffEq 1.2.0 💰
Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machi...
10 versions - Latest release: about 1 year ago - 21 stars on GitHub
MuladdMacro 0.2.4 💰
This package contains a macro for converting expressions to use muladd calls and fused-multiply-a...
6 versions - Latest release: over 1 year ago - 18 dependent packages - 45 stars on GitHub
BridgeDiffEq 0.1.1 💰
A thin wrapper over Bridge.jl for the SciML scientific machine learning common interface, enablin...
2 versions - Latest release: over 1 year ago - 5 stars on GitHub
SteadyStateDiffEq 2.1.0 💰
Solvers for steady states in scientific machine learning (SciML)
30 versions - Latest release: about 2 months ago - 8 dependent packages - 2 dependent repositories - 30 stars on GitHub
DiffEqFinancial 2.6.0 💰
Differential equation problem specifications and scientific machine learning for common financial...
8 versions - Latest release: 6 months ago - 2 dependent packages - 2 dependent repositories - 23 stars on GitHub
SciMLWorkshop 0.1.0 💰
Workshop materials for training in scientific computing and scientific machine learning
1 version - Latest release: over 1 year ago - 34 stars on GitHub
ModelOrderReduction 0.1.0 💰
High-level model-order reduction to automate the acceleration of large-scale simulations
1 version - Latest release: over 1 year ago - 32 stars on GitHub
NBodySimulator 1.10.0 💰
A differentiable simulator for scientific machine learning (SciML) with N-body problems, includin...
17 versions - Latest release: about 1 year ago - 1 dependent package - 124 stars on GitHub
NeuralOperators 0.4.8 💰
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
20 versions - Latest release: 3 months ago - 1 dependent package - 182 stars on GitHub
DAEProblemLibrary 0.1.0 💰
A library of premade problems for examples and testing differential equation solvers and other Sc...
1 version - Latest release: over 7 years ago - 1 dependent package - 54 stars on GitHub
JumpProblemLibrary 0.1.4 💰
A library of premade problems for examples and testing differential equation solvers and other Sc...
5 versions - Latest release: 8 months ago - 1 dependent package - 54 stars on GitHub
SDEProblemLibrary 0.1.6 💰
A library of premade problems for examples and testing differential equation solvers and other Sc...
7 versions - Latest release: 7 months ago - 1 dependent package - 54 stars on GitHub
Related Keywords
sciml 141 julia 94 differential-equations 88 ode 49 automatic-differentiation 45 optimization 39 hacktoberfest 38 differentialequations 38 algorithmic-differentiation 36 sde 33 global-optimization 29 local-optimization 29 nonlinear-optimization 29 convex-optimization 29 derivative-free-optimization 29 mixed-integer-programming 29 neural-ode 26 dae 26 neural-differential-equations 23 dde 23 stochastic-differential-equations 18 ordinary-differential-equations 15 pde 15 partial-differential-equations 14 arrays 12 julia-language 11 interface 11 composibility 11 base 10 primitives 10 high-performance-computing 9 integration 9 julialang 8 scientific-ai 8 scientific-ml 8 quadrature 7 differentiable-programming 7 surrogate 7 surrogate-models 7 surrogate-based-optimization 7 machine-learning 7 surrogates 7 neural-networks 6 gpu 6 numerical-integration 6 python 6 differential-algebraic-equations 5 delay-differential-equations 5 neural-sde 5 linear-algebra 4 sensitivity-analysis 4 r 4 krylov-methods 4 stochastic 4 pinn 4 factorization 4 newton-krylov 4 reaction-network 3 uncertainty-quantification 3 systems-biology 3 adjoint 3 dsl 3 simulation 3 deep-learning 3 adaptive 3 preconditioners 3 neural-network 3 hybrid-differential-equation 3 linear-solvers 3 amg 3 distributed-computing 3 stochastic-processes 3 multigrid 3 physics-informed-learning 3 uq 2 backpropogation 2 geometric-algorithms 2 matlab 2 solvers 2 scientific-computing 2 jump-diffusion 2 ssa 2 gillespie 2 dynamical-systems 2 stochastic-jump-equations 2 high-performance 2 array 2 jacobian 2 steady-state 2 systems-biology-simulation 2 biology 2 rate-laws 2 chemical-reactions 2 symbolic-computation 2 symbolic 2 newton-raphson 2 gillespie-algorithm 2 scipy 1 ode-solver 1 odeint 1