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Invariant Measures for Stochastic Nonlinear Schroedinger Equations - Numerical Approximations and Symplectic Structures (Paperback, 1st ed. 2019)
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Invariant Measures for Stochastic Nonlinear Schroedinger Equations - Numerical Approximations and Symplectic Structures (Paperback, 1st ed. 2019)
Series: Lecture Notes in Mathematics, 2251
Expected to ship within 10 - 15 working days
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This book provides some recent advance in the study of stochastic
nonlinear Schroedinger equations and their numerical
approximations, including the well-posedness, ergodicity,
symplecticity and multi-symplecticity. It gives an accessible
overview of the existence and uniqueness of invariant measures for
stochastic differential equations, introduces geometric structures
including symplecticity and (conformal) multi-symplecticity for
nonlinear Schroedinger equations and their numerical
approximations, and studies the properties and convergence errors
of numerical methods for stochastic nonlinear Schroedinger
equations. This book will appeal to researchers who are interested
in numerical analysis, stochastic analysis, ergodic theory, partial
differential equation theory, etc.
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