Abstract
In this chapter we shall consider implicit strong schemes which are necessary for the simulation of the solutions of stiff stochastic differential equations. The regions of absolute stability of several of these implicit strong schemes and other explicit strong schemes will also be investigated.
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Bibliographical Notes
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Kloeden, P. E. and E. Platen (1992). Higher order implicit strong numerical schemes for stochastic differential equations. J. Statist. Phys. 66 (1/2), 283–314.
Hernandez, D. B. and R. Spigler (1993). Convergence and stability of implicit RungeKutta methods for systems with multiplicative noise. BIT 33, 654–669.
Petersen, W. P. (1990). Stability and accuracy of simulations for stochastic differential equations. IPS Research Report No. 90–02, ETH Zürich.
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© 1992 Springer-Verlag Berlin Heidelberg
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Kloeden, P.E., Platen, E. (1992). Implicit Strong Approximations. In: Numerical Solution of Stochastic Differential Equations. Applications of Mathematics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12616-5_12
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DOI: https://doi.org/10.1007/978-3-662-12616-5_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08107-1
Online ISBN: 978-3-662-12616-5
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