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The Design of the NDSolve Framework   (Mathematica Tutorial)
Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...
Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...
In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...
Numerical Mathematics in Mathematica   (Mathematica Tutorial)
One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...
Approximate Functions and Interpolation   (Mathematica Tutorial)
In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...
StartingStepSize   (Built-in Mathematica Symbol)
StartingStepSize is an option to NDSolve and related functions that specifies the initial step size to use in trying to generate results.
MaxStepSize   (Built-in Mathematica Symbol)
MaxStepSize is an option to functions like NDSolve that specifies the maximum size of a single step used in generating a result.
Messages   (Built-in Mathematica Symbol)
Messages[symbol] gives all the messages assigned to a particular symbol.
MaxStepFraction   (Built-in Mathematica Symbol)
MaxStepFraction is an option to functions like NDSolve that specifies the maximum fraction of the total range to cover in a single step.
Components and Data Structures   (Mathematica Tutorial)
NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...
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