PRODUCTS
Mathematica
Mathematica Home Edition
Mathematica for Students
Mathematica for the Classroom
grid
Mathematica
Wolfram Lightweight Grid Manager
web
Mathematica
Mathematica Player
(free download)
Mathematica Player Pro
Wolfram
Workbench
Mathematica
Applications
SOLUTIONS
Industry
Chemical Engineering
Image Processing
Mechanical Engineering
Petroleum Engineering
Environmental Sciences
Bioinformatics
Data Analysis and Mining
Financial Risk Management
Statistics
Software Engineering
More...
Education
Higher Education
Precollege Education
Students
Technology
Interactive Deployment
High-Performance and Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
FOR USERS
All User Resources
Product Registration
Technical Support
Customer Service
Developer Support
Does My Site Have a License?
Free Seminars
Learning Center
Training
Custom Group Seminars
Documentation & Examples
Tutorial Screencasts
Video Gallery
Demonstrations Project
Education Portal
Student Resources
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
Wolfram|Alpha
Demonstrations Project
Wolfram Blog
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Library Archive
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematica
Overview
Advanced Numerical Differential Equation Solving in
Mathematica
Introduction
Overview
The Design of the NDSolve Framework
Features
Common Time Stepping
Data Encapsulation
Method Hierarchy
User Extensibility
Method Classes
Automatic Selection and User Controllability
MethodMonitor
Shared Features
Some Basic Methods
ODE Integration Methods
Methods
ExplicitRungeKutta
ImplicitRungeKutta
SymplecticPartitionedRungeKutta
Controller Methods
Composition and Splitting
DoubleStep
EventLocator
Extrapolation
FixedStep
OrthogonalProjection
Projection
StiffnessSwitching
Submethods
ExplicitEuler
ExplicitMidpoint
ExplicitModifiedMidpoint
LinearlyImplicitEuler
LinearlyImplicitMidpoint
LinearlyImplicitModifiedMidpoint
LocallyExact
Extensions
Method Plug-in Framework
Partial Differential Equations
The Numerical Method of Lines
Introduction
Spatial Derivative Approximations
Boundary Conditions
Spatial Error Estimates
Boundary Value Problems
Shooting Method
Chasing Method
Boundary Value Problems with Parameters
Differential-Algebraic Equations
Introduction
IDA Method
Delay Differential Equations
Introduction
Comparison and Contrast with ODEs
Propagation and Smoothing of Discontinuities
Storing History Data
Method of Steps
Examples
Error Control
ScaledVectorNorm
Stiffness Detection
Overview
Introduction
Linear Stability
"StiffnessTest" Method Option
"NonstiffTest" Method Option
Examples
Option Summary
Structured Systems
LotkaVolterra
Introduction
Explicit Euler
Backward Euler
Projection
Splitting
Symplectic Euler
Flows
RigidBody
Introduction
Manifold Generation and Utility Functions
Method Comparison
Adams Multistep Method
Euler and Implicit Midpoint Methods
Orthogonal Projection Method
Projection Method
Projecting One Constraint
Projecting Multiple Constraints
"Splitting" Method
Solution
Components and Data Structures
Introduction
Example
Creating NDSolve`StateData Objects
ProcessEquations
Reinitialize
Iterating Solutions
Getting Solution Functions
NDSolve`StateData Methods
DifferentialEquations Utility Packages
InterpolatingFunctionAnatomy
NDSolveUtilities
References
