scalation.dynamics

LinearDiffEq

class LinearDiffEq extends Error

The LinearDiffEq class may be used for solving a system of linear differential equations that are ordinary and first-order with constant coefficients of the form

d/dt y(t) = a * y(t)

'y(t)' is the vector function of time and 'a' is the coefficient matrix. The initial value vector 'y0 = y(0)' must also be given. Note, higher-order differential equations may be converted to first-order by introducing additional variables. The above equation is the homogeneous case. Caveats: the following cases are not currently handled: (i) The non-homogeneous equation: d/dt y(t) = a * y(t) + f(t). (ii) Complex or repeated eigenvalues.

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Instance Constructors

  1. new LinearDiffEq(a: MatrixD, y0: VectorD)

    a

    the coefficient matrix

    y0

    the initial value vector

Value Members

  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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  6. final def eq(arg0: AnyRef): Boolean

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  7. def equals(arg0: Any): Boolean

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  8. def eval(t: Double): VectorD

    Evaluate the solution for y(t) at time t.

    Evaluate the solution for y(t) at time t.

    t

    the time point

  9. def expV(v: VectorD): VectorD

    Apply the exponential 'exp' function to each element of a vector.

    Apply the exponential 'exp' function to each element of a vector.

    v

    the vector to apply the exp function to

  10. def finalize(): Unit

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  11. def flaw(method: String, message: String): Unit

    Show the flaw by printing the error message.

    Show the flaw by printing the error message.

    method

    the method where the error occurred

    message

    the error message

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  12. final def getClass(): Class[_]

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  13. def hashCode(): Int

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  14. final def isInstanceOf[T0]: Boolean

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  15. final def ne(arg0: AnyRef): Boolean

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  16. final def notify(): Unit

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  17. final def notifyAll(): Unit

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  18. def print: Unit

    Print the solution to the differential equation.

  19. final def synchronized[T0](arg0: ⇒ T0): T0

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  20. def toString(): String

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  21. final def wait(): Unit

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  22. final def wait(arg0: Long, arg1: Int): Unit

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  23. final def wait(arg0: Long): Unit

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