A. Iserles and A. Zanna, `Preserving algebraic invariants with RungeKutta methods.', J. Comp. Appl. Math., (125), 69--81, (2000). Home/Search Document Details and Download
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Expansions That Grow on Trees - Arieh Iserles Linear (2002) Self-citation (Iserles) (Correct)
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A. Iserles and A. Zanna. Preserving algebraic invariants with Runge--Kutta methods. J. Comp. Appld Maths, 125:69--81, 2000.
A Magnus expansion for the equation . . . - Iserles (2000) Self-citation (Iserles) (Correct)
....y obeys a linear equation of the form y 0 = Ay, where, however, A 2 Mm 2 . This equation can be solved easily by standard explicit methods for ordinary differential equations, except that in that case all the nice qualitative and geometric properties of the original system are likely to be lost (Iserles 2000a, Iserles Zanna 2000) Implicit classical methods are considerably more expensive, since we need to invert m 2 Theta m 2 matrices. Moreover, all classical methods are likely to display inferior precision in comparison with Lie group methods 1 Department of Applied Mathematics and ....
....equation of the form y 0 = Ay, where, however, A 2 Mm 2 . This equation can be solved easily by standard explicit methods for ordinary differential equations, except that in that case all the nice qualitative and geometric properties of the original system are likely to be lost (Iserles 2000a, Iserles Zanna 2000). Implicit classical methods are considerably more expensive, since we need to invert m 2 Theta m 2 matrices. Moreover, all classical methods are likely to display inferior precision in comparison with Lie group methods 1 Department of Applied Mathematics and Theoretical Physics, University ....
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Iserles, A. & Zanna, A. (2000), `Preserving algebraic invariants with Runge--Kutta methods', J. Comput. Appld Maths. to appear.
Using Discrete Invariants for Fault Detection of Hybrid.. - Lichtenberg, Luetzenberg (Correct)
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A. Iserles and A. Zanna, `Preserving algebraic invariants with RungeKutta methods.', J. Comp. Appl. Math., (125), 69--81, (2000).
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