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On the robustness of backward stochastic differential equations
11 references·11 citing·37 second hop
On the robustness of backward stochastic differential equations (2002)On the robustness of backward stochastic …Stochastic Integration and Differential Equations : A New Approach (2014)Stochastic Integration and Di…Donsker-Type Theorem for BSDEs (2001)Donsker-Type Theorem for BSDEsContinuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…Generalized BSDEs and nonlinear Neumann boundary value problems (1998)Generalized BSDEs and nonline…Probabilistic interpretation of a system of semi-linear parabolic partial differential equations (1997)Probabilistic interpretation …Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Backward stochastic differential equations and integral-partial differential equations (1997)Backward stochastic different…Weak convergence of stochastic integrals and differential equations (1996)Weak convergence of stochasti…CONTINUOUS MARTINGALES AND BROWNIAN MOTION (1992)CONTINUOUS MARTINGALES AND BR…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Stopping Times and Tightness. II (1989)Stopping Times and Tightness.…Numerical methods for backward stochastic differential equations: A survey (2023)Numerical methods for backwar…Existence and uniqueness results for BSDE with jumps: the whole nine yards (2018)Existence and uniqueness resu…A unified approach to a priori estimates for supersolutions of BSDEs in general filtrations (2018)A unified approach to a prior…Lp solutions of backward stochastic differential equations with jumps (2017)Lp solutions of backward stoc…Simulation of BSDEs with jumps by Wiener Chaos expansion (2016)Simulation of BSDEs with jump…Numerical Stability Analysis of the Euler Scheme for BSDEs (2015)Numerical Stability Analysis …BSDEs under partial information and financial applications (2014)BSDEs under partial informati…BS$\Delta$Es and BSDEs with non-Lipschitz drivers: Comparison, convergence and robustness (2013)BS$\Delta$Es and BSDEs with n…Numerical algorithms for backward stochastic differential equations with 1-d brownian motion: Convergence and simulations (2010)Numerical algorithms for back…Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach (2010)Extending dynamic convex risk…Convergence of solutions of discrete reflected backward SDE’s and simulations (2008)Convergence of solutions of d…Limit Theorems for Stochastic Processes (1987)Stochastic Integration and Differential Equations (1990)The Euler scheme for Lévy driven stochastic differential equations: limit theorems (2004)Stochastic Integration and Differential Equations (2005)Malliavin Greeks without Malliavin calculus (2007)Stochastic differential equations for sticky Brownian motion (2014)Stochastic differential equations with reflecting boundary conditions (1984)Probabilistic interpretation for systems of quasilinear parabolic partial differential equations (1991)BSDEs with polynomial growth generators (1999)Generalized backward doubly stochastic differential equations and SPDEs with nonlinear Neumann boundary conditions (2006)Backward Stochastic Differential Equations (2014)Stochastic Differential Equations and Diffusion Processes (1983)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models (2005)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Mean-field backward stochastic differential equations and related partial differential equations (2009)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Brownian Motion and Stochastic Calculus (2007)The Pricing of Options and Corporate Liabilities (1973)Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Backward stochastic differential equations and partial differential equations with quadratic growth (2000)Theory of rational option pricing (2005)Partial Differential Equations (2010)The Variance Gamma Process and Option Pricing (1998)A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)Option pricing by Esscher transforms. (1995)Estimating quadratic variation using realized variance (2002)Common Failings: How Corporate Defaults Are Correlated (2007)Central limit theorems for local martingales (1980)As Others See Us: A Case Study in Path Analysis (1987)A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients (2006)On Numerical Approximations of Forward-Backward Stochastic Differential Equations (2008)Least-Squares Monte Carlo for Backward SDEs (2012)A Fourier Cosine Method for an Efficient Computation of Solutions to BSDEs (2015)The generalized covariation process and Ito formula (1995)Smile Asymptotics II: Models with Known Moment Generating Functions (2008)Survival and Long-Run Dynamics with Heterogeneous Beliefs under Recursive Preferences (2019)
this work references cited by second hop

References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 2014Stochastic Integration and Differential Equations : A New Approach686 cited
  • 1997Backward stochastic differential equations and integral-partial differential equations538 cited
  • 1989Stopping Times and Tightness. II347 cited
  • 1992CONTINUOUS MARTINGALES AND BROWNIAN MOTION162 cited
  • 1998Generalized BSDEs and nonlinear Neumann boundary value problems158 cited
  • 2001Donsker-Type Theorem for BSDEs108 cited
  • 1996Weak convergence of stochastic integrals and differential equations89 cited
  • 1997Probabilistic interpretation of a system of semi-linear parabolic partial differential equations71 cited

Cited by

  • 2010Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach52 cited
  • 2018A unified approach to a priori estimates for supersolutions of BSDEs in general filtrations48 cited
  • 2018Existence and uniqueness results for BSDE with jumps: the whole nine yards42 cited
  • 2014BSDEs under partial information and financial applications

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40 cited
  • 2010Numerical algorithms for backward stochastic differential equations with 1-d brownian motion: Convergence and simulations40 cited
  • 2013BS$\Delta$Es and BSDEs with non-Lipschitz drivers: Comparison, convergence and robustness39 cited
  • 2016Simulation of BSDEs with jumps by Wiener Chaos expansion35 cited
  • 2023Numerical methods for backward stochastic differential equations: A survey32 cited
  • 2015Numerical Stability Analysis of the Euler Scheme for BSDEs29 cited
  • 2008Convergence of solutions of discrete reflected backward SDE’s and simulations26 cited
  • 2017Lp solutions of backward stochastic differential equations with jumps24 cited