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Numerical Methods for Stochastic Partial Differential Equations with White Noise

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Cover of 'Numerical Methods for Stochastic Partial Differential Equations with White Noise'

Table of Contents

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    Book Overview
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    Chapter 1 Prologue
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    Chapter 2 Brownian motion and stochastic calculus
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    Chapter 3 Numerical methods for stochastic differential equations
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    Chapter 4 Numerical schemes for SDEs with time delay using the Wong-Zakai approximation
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    Chapter 5 Balanced numerical schemes for SDEs with non-Lipschitz coefficients
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    Chapter 6 Wiener chaos methods for linear stochastic advection-diffusion-reaction equations
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    Chapter 7 Stochastic collocation methods for differential equations with white noise
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    Chapter 8 Comparison between Wiener chaos methods and stochastic collocation methods
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    Chapter 9 Application of collocation method to stochastic conservation laws
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    Chapter 10 Semilinear elliptic equations with additive noise
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    Chapter 11 Multiplicative white noise: The Wick-Malliavin approximation
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    Chapter 12 Epilogue
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