TY - BOOK AU - Platen, Eckhard AU - Bruti-Liberati, Nicola TI - Numerical solution of stochastic differential equations with jumps in finance SN - 9783642120572 U1 - 515.35 PY - 2010/// CY - New York PB - Springer KW - Stochastic differential equations KW - Jump processes KW - Distribution (Probability theory) KW - Statistics KW - Mathematics N1 - 1. SDEs with Jumps -- 2. Exact Simulation of Solutions of SDEs -- 3. Benchmark Approach to Finance -- 4. Stochastic Expansions -- 5. Introduction to Scenario Simulation -- 6. Regular Strong Taylor Approximations -- 7. Regular Strong Ito Approximations -- 8. Jump-Adapted Strong Approximations -- 9. Estimating Discretely Observed Diffusions -- 10. Filtering -- 11. Monte Carlo Simulation of SDEs -- 12. Regular Weak Taylor Approximations -- 3. Jump-Adapted Weak Approximations -- 14. Numerical Stability -- 15. Martingale Representations and Hedge Ratios -- 16. Variance Reduction Techniques -- 17. Trees and Markov Chain Approximations -- 18. Solutions for Exercises ER -