Subscriber Authentication Point
Menu

# Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

## On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations

ESAIM: M2AN, 36 1 (2002) 33-54
Published online: 2002-04-15

## Piecewise constant policy approximations to Hamilton–Jacobi–Bellman equations

C. Reisinger and P.A. Forsyth
Applied Numerical Mathematics 103 27 (2016)
DOI: 10.1016/j.apnum.2016.01.001
See this article

## A Bellman approach for two-domains optimal control problems in ℝN

G. Barles, A. Briani and E. Chasseigne
ESAIM: Control, Optimisation and Calculus of Variations 19 (3) 710 (2013)
DOI: 10.1051/cocv/2012030
See this article

## Convergence of a semi-discretization scheme for the Hamilton–Jacobi equation: A new approach with the adjoint method

F. Cagnetti, D. Gomes and H.V. Tran
Applied Numerical Mathematics 73 2 (2013)
DOI: 10.1016/j.apnum.2013.05.004
See this article

## Error estimates for second order Hamilton-Jacobi-Bellman equations. Approximation of probabilistic reachable sets

Hasnaa Zidani, Olivier Bokanowski and Mohamed Assellaou
Discrete and Continuous Dynamical Systems 35 (9) 3933 (2015)
DOI: 10.3934/dcds.2015.35.3933
See this article

## Mutual Funds Theorem for Continuous Time Markets

Nikolai Dokuchaev
SSRN Electronic Journal (2010)
DOI: 10.2139/ssrn.1591786
See this article

## Probability and Analysis in Interacting Physical Systems

G. T. Kossioris, M. Loulakis and P. E. Souganidis
Springer Proceedings in Mathematics & Statistics, Probability and Analysis in Interacting Physical Systems 283 49 (2019)
DOI: 10.1007/978-3-030-15338-0_3
See this article

## Continuous dependence results for non-linear Neumann type boundary value problems

Espen R. Jakobsen and Christine A. Georgelin
Journal of Differential Equations 245 (9) 2368 (2008)
DOI: 10.1016/j.jde.2008.07.003
See this article

## Merton Problem with Taxes: Characterization, Computation, and Approximation

Imen Ben Tahar, H. Mete Soner and Nizar Touzi
SIAM Journal on Financial Mathematics 1 (1) 366 (2010)
DOI: 10.1137/080742178
See this article

## On Finite-Difference Approximations for Normalized Bellman Equations

István Gyöngy and David Šiška
Applied Mathematics and Optimization 60 (3) 297 (2009)
DOI: 10.1007/s00245-009-9082-0
See this article

## Convergence rates of symplectic Pontryagin approximations in optimal control theory

Mattias Sandberg and Anders Szepessy
ESAIM: Mathematical Modelling and Numerical Analysis 40 (1) 149 (2006)
DOI: 10.1051/m2an:2006002
See this article

## Convergence Rates for Semi-Discrete Splitting Approximations for Degenerate Parabolic Equations with Source Terms

E. R. Jakobsen and K. H. Karlsen
BIT Numerical Mathematics 45 (1) 37 (2005)
DOI: 10.1007/s10543-005-2641-0
See this article

## On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains

N. V. Krylov
Communications in Partial Differential Equations 40 (8) 1393 (2015)
DOI: 10.1080/03605302.2015.1029074
See this article

## (Almost) Everything you always wanted to know about deterministic control problems in stratified domains

Guy Barles and Emmanuel Chasseigne
Networks and Heterogeneous Media 10 (4) 809 (2015)
DOI: 10.3934/nhm.2015.10.809
See this article

## Continuous dependence estimates for viscosity solutions of integro-PDEs

Espen R. Jakobsen and Kenneth H. Karlsen
Journal of Differential Equations 212 (2) 278 (2005)
DOI: 10.1016/j.jde.2004.06.021
See this article

## Abel-type Results for Controlled Piecewise Deterministic Markov Processes

Dan Goreac and Oana-Silvia Serea
Differential Equations and Dynamical Systems 25 (1) 83 (2017)
DOI: 10.1007/s12591-015-0245-y
See this article

## An approximation scheme for stochastic controls in continuous time

Yumiharu Nakano
Japan Journal of Industrial and Applied Mathematics 31 (3) 681 (2014)
DOI: 10.1007/s13160-014-0157-1
See this article

## Linearization Techniques for Controlled Piecewise Deterministic Markov Processes; Application to Zubov’s Method

Dan Goreac and Oana-Silvia Serea
Applied Mathematics & Optimization 66 (2) 209 (2012)
DOI: 10.1007/s00245-012-9169-x
See this article

## Convergence rates of Markov chain approximation methods for controlled diffusions with stopping

Qingshuo Song and Gang George Yin
Journal of Systems Science and Complexity 23 (3) 600 (2010)
DOI: 10.1007/s11424-010-0148-5
See this article

## Stochastic Optimal Control and Linear Programming Approach

R. Buckdahn, D. Goreac and M. Quincampoix
Applied Mathematics & Optimization 63 (2) 257 (2011)
DOI: 10.1007/s00245-010-9120-y
See this article

## On the convergence rate in multiscale homogenization of fully nonlinear elliptic problems

Fabio Camilli and Claudio Marchi
Networks and Heterogeneous Media 6 (1) 61 (2011)
DOI: 10.3934/nhm.2011.6.61
See this article

## Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs

Fabio Camilli and Claudio Marchi
Nonlinearity 22 (6) 1481 (2009)
DOI: 10.1088/0951-7715/22/6/011
See this article

## On the Rate of Convergence of the Finite-Difference Approximations for Parabolic Bellman Equations with Constant Coefficients

Jun Luo and N. V. Krylov
Applied Mathematics and Optimization 58 (3) 315 (2008)
DOI: 10.1007/s00245-008-9037-x
See this article

## Existence of Asymptotic Values for Nonexpansive Stochastic Control Systems

Rainer Buckdahn, Dan Goreac and Marc Quincampoix
Applied Mathematics & Optimization 70 (1) 1 (2014)
DOI: 10.1007/s00245-013-9230-4
See this article

## On the Rate of Convergence of Difference Approximations for Uniformly Nondegenerate Elliptic Bellman’s Equations

N. V. Krylov
Applied Mathematics & Optimization 69 (3) 431 (2014)
DOI: 10.1007/s00245-013-9228-y
See this article

## A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations

Fabio Camilli and Espen R. Jakobsen
SIAM Journal on Numerical Analysis 47 (4) 2407 (2009)
DOI: 10.1137/080723144
See this article

## Subsolutions That Are Close in the Uniform Norm Are Close in the Sobolev Norm as Well

Muhammad Shoaib Saleem and Malkhaz Shashiashvili
Applied Mathematics & Optimization 66 (1) 1 (2012)
DOI: 10.1007/s00245-012-9161-5
See this article

## Implications of a regime-switching model on natural gas storage valuation and optimal operation

Zhuliang Chen† and Peter A. Forsyth
Quantitative Finance 10 (2) 159 (2010)
DOI: 10.1080/14697680802374791
See this article

## Error estimates for approximations of nonhomogeneous nonlinear uniformly elliptic equations

Olga Turanova
Calculus of Variations and Partial Differential Equations 54 (3) 2939 (2015)
DOI: 10.1007/s00526-015-0890-6
See this article

## Numerical analysis of strongly nonlinear PDEs

Michael Neilan, Abner J. Salgado and Wujun Zhang
Acta Numerica 26 137 (2017)
DOI: 10.1017/S0962492917000071
See this article

## Duality-based a posteriori error estimates for some approximation schemes for optimal investment problems

Athena Picarelli and Christoph Reisinger
Computers & Mathematics with Applications 79 (7) 2099 (2020)
DOI: 10.1016/j.camwa.2019.12.010
See this article

## Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions

Espen R. Jakobsen, Kenneth H. Karlsen and Claudia La Chioma
Numerische Mathematik 110 (2) 221 (2008)
DOI: 10.1007/s00211-008-0160-z
See this article

## Viability, invariance and reachability for controlled piecewise deterministic Markov processes associated to gene networks

Dan Goreac
ESAIM: Control, Optimisation and Calculus of Variations 18 (2) 401 (2012)
DOI: 10.1051/cocv/2010103
See this article

## Linearization techniques for $\mathbb{L}^{\infty}$-control problems and dynamic programming principles in classical and $\mathbb{L}^{\infty}$-control problems

Dan Goreac and Oana-Silvia Serea
ESAIM: Control, Optimisation and Calculus of Variations 18 (3) 836 (2012)
DOI: 10.1051/cocv/2011183
See this article

## Some Applications of Linear Programming Formulations in Stochastic Control

Dan Goreac and Oana-Silvia Serea
Journal of Optimization Theory and Applications 155 (2) 572 (2012)
DOI: 10.1007/s10957-012-0080-z
See this article

## Optimal Production Control of Hybrid Manufacturing/Remanufacturing Failure-Prone Systems under Diffusion-Type Demand

Samir Ouaret, Vladimir Polotski, Jean-Pierre Kenné and Ali Gharbi
Applied Mathematics 04 (03) 550 (2013)
DOI: 10.4236/am.2013.43079
See this article

## The non-locality of Markov chain approximations to two-dimensional diffusions

C. Reisinger
Mathematics and Computers in Simulation 143 176 (2018)
DOI: 10.1016/j.matcom.2016.06.001
See this article

## The problem of optimal control with reflection studied through a linear optimization problem stated on occupational measures

Marc Quincampoix and Oana Silvia Serea
Nonlinear Analysis: Theory, Methods & Applications 72 (6) 2803 (2010)
DOI: 10.1016/j.na.2009.11.024
See this article

## A fast algorithm for the two dimensional HJB equation of stochastic control

J. Frédéric Bonnans, Élisabeth Ottenwaelter and Housnaa Zidani
ESAIM: Mathematical Modelling and Numerical Analysis 38 (4) 723 (2004)
DOI: 10.1051/m2an:2004034
See this article

## A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs

Luis A. Caffarelli and Panagiotis E. Souganidis
Communications on Pure and Applied Mathematics 61 (1) 1 (2008)
DOI: 10.1002/cpa.20208
See this article

## High-order filtered schemes for time-dependent second order HJB equations

Olivier Bokanowski, Athena Picarelli and Christoph Reisinger
ESAIM: Mathematical Modelling and Numerical Analysis 52 (1) 69 (2018)
DOI: 10.1051/m2an/2017039
See this article

## A Piecewise Deterministic Markov Toy Model for Traffic/Maintenance and Associated Hamilton–Jacobi Integrodifferential Systems on Networks

Dan Goreac, Magdalena Kobylanski and Miguel Martinez
Applied Mathematics & Optimization 74 (2) 375 (2016)
DOI: 10.1007/s00245-015-9319-z
See this article

## Stochastic Target Games and Dynamic Programming via Regularized Viscosity Solutions

Bruno Bouchard and Marcel Nutz
Mathematics of Operations Research 41 (1) 109 (2016)
DOI: 10.1287/moor.2015.0718
See this article

## On the Root Solution to the Skorokhod Embedding Problem Given Full Marginals

Alexandre Richard, Xiaolu Tan and Nizar Touzi
SIAM Journal on Control and Optimization 58 (4) 1874 (2020)
DOI: 10.1137/18M1222594
See this article

## Mayer and optimal stopping stochastic control problems with discontinuous cost

Dan Goreac and Oana-Silvia Serea
Journal of Mathematical Analysis and Applications 380 (1) 327 (2011)
DOI: 10.1016/j.jmaa.2011.02.039
See this article

## An analytical solution for the HJB equation arising from the Merton problem

Song-Ping Zhu and Guiyuan Ma
International Journal of Financial Engineering 05 (01) 1850008 (2018)
DOI: 10.1142/S2424786318500081
See this article

## NUMERICAL SOLUTIONS FOR THE CHERIDITO-SONER-TOUZI SUPER-REPLICATION MODEL UNDER GAMMA CONSTRAINTS

AGNÈS TOURIN
International Journal of Theoretical and Applied Finance 09 (03) 401 (2006)
DOI: 10.1142/S0219024906003561
See this article

## Error Estimates for Numerical Approximation of Hamilton–Jacobi Equations Related to Hybrid Control Systems

R. Ferretti, A. Sassi and H. Zidani
Applied Mathematics & Optimization 83 (1) 139 (2021)
DOI: 10.1007/s00245-018-9515-8
See this article

## Error Bounds for Monotone Approximation Schemes for Hamilton--Jacobi--Bellman Equations

Guy Barles and Espen R. Jakobsen
SIAM Journal on Numerical Analysis 43 (2) 540 (2005)
DOI: 10.1137/S003614290343815X
See this article

## Rates of Convergence of Numerical Methods for Controlled Regime-Switching Diffusions with Stopping Times in the Costs

Q. S. Song and G. Yin
SIAM Journal on Control and Optimization 48 (3) 1831 (2009)
DOI: 10.1137/070679843
See this article

## Stochastic control with rough paths

Joscha Diehl, Peter K. Friz and Paul Gassiat
Applied Mathematics & Optimization 75 (2) 285 (2017)
DOI: 10.1007/s00245-016-9333-9
See this article

## Probabilistic error analysis for some approximation schemes to optimal control problems

Athena Picarelli and Christoph Reisinger
Systems & Control Letters 137 104619 (2020)
DOI: 10.1016/j.sysconle.2019.104619
See this article

## An Error Estimate for a New Scheme for Mean Curvature Motion

N. Forcadel
SIAM Journal on Numerical Analysis 46 (5) 2715 (2008)
DOI: 10.1137/060678282
See this article

## Penalty Methods for the Solution of Discrete HJB Equations—Continuous Control and Obstacle Problems

J. H. Witte and C. Reisinger
SIAM Journal on Numerical Analysis 50 (2) 595 (2012)
DOI: 10.1137/110835840
See this article

## ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS

ESPEN ROBSTAD JAKOBSEN
Mathematical Models and Methods in Applied Sciences 13 (05) 613 (2003)
DOI: 10.1142/S0218202503002660
See this article

## ERROR ESTIMATES FOR A CLASS OF FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES

IMRAN H. BISWAS, ESPEN R. JAKOBSEN and KENNETH H. KARLSEN
Journal of Hyperbolic Differential Equations 05 (01) 187 (2008)
DOI: 10.1142/S0219891608001416
See this article

## Asymptotic Control for a Class of Piecewise Deterministic Markov Processes Associated to Temperate Viruses

Dan Goreac
SIAM Journal on Control and Optimization 53 (4) 1860 (2015)
DOI: 10.1137/140998913
See this article

## A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models

Rama Cont and Ekaterina Voltchkova
SIAM Journal on Numerical Analysis 43 (4) 1596 (2005)
DOI: 10.1137/S0036142903436186
See this article

## A Penalty Method for the Numerical Solution of Hamilton–Jacobi–Bellman (HJB) Equations in Finance

J. H. Witte and C. Reisinger
SIAM Journal on Numerical Analysis 49 (1) 213 (2011)
DOI: 10.1137/100797606
See this article

## Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations

Xiaobing Feng, Roland Glowinski and Michael Neilan
SIAM Review 55 (2) 205 (2013)
DOI: 10.1137/110825960
See this article

## On quadratic approximations for Hamilton–Jacobi–Bellman equations

Yumiharu Nakano
Automatica 66 205 (2016)
DOI: 10.1016/j.automatica.2016.01.001
See this article

## Large time behavior for some nonlinear degenerate parabolic equations

Olivier Ley and Vinh Duc Nguyen
Journal de Mathématiques Pures et Appliquées 102 (2) 293 (2014)
DOI: 10.1016/j.matpur.2013.11.010
See this article

## Error estimation and adaptive discretization for the discrete stochastic Hamilton?Jacobi?Bellman equation

Lars Gr�ne
Numerische Mathematik 99 (1) 85 (2004)
DOI: 10.1007/s00211-004-0555-4
See this article

## Convergence of Implicit Schemes for Hamilton--Jacobi--Bellman Quasi-Variational Inequalities

Parsiad Azimzadeh, Erhan Bayraktar and George Labahn
SIAM Journal on Control and Optimization 56 (6) 3994 (2018)
DOI: 10.1137/18M1171965
See this article

## Convergence Rate of an Explicit Finite Difference Scheme for a Credit Rating Migration Problem

Yan Li, Zhengce Zhang and Bei Hu
SIAM Journal on Numerical Analysis 56 (4) 2430 (2018)
DOI: 10.1137/17M1151833
See this article

## Error estimates for approximations of nonlinear uniformly parabolic equations

Olga Turanova
Nonlinear Differential Equations and Applications NoDEA 22 (3) 345 (2015)
DOI: 10.1007/s00030-014-0286-x
See this article

## Convergence Rate Estimates for Aleksandrov's Solution to the Monge--Ampère Equation

Haodi Chen, Genggeng Huang and Xu-Jia Wang
SIAM Journal on Numerical Analysis 57 (1) 173 (2019)
DOI: 10.1137/18M1197217
See this article

## Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in R N

Guy Barles, Alexander Quaas and Andrei Rodríguez-Paredes
Communications in Partial Differential Equations 1 (2020)
DOI: 10.1080/03605302.2020.1846561
See this article

## Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes

Imran H. Biswas, Espen R. Jakobsen and Kenneth H. Karlsen
Applied Mathematics and Optimization 62 (1) 47 (2010)
DOI: 10.1007/s00245-009-9095-8
See this article

## Splitting methods for Hamilton-Jacobi equations

Agnès Tourin
Numerical Methods for Partial Differential Equations 22 (2) 381 (2006)
DOI: 10.1002/num.20100
See this article

## Encyclopedia of Quantitative Finance

Espen R. Jakobsen
Encyclopedia of Quantitative Finance (2010)
DOI: 10.1002/9780470061602.eqf12010
See this article

## On the LP formulation in measure spaces of optimal control problems for jump-diffusions

Rafael Serrano
Systems & Control Letters 85 33 (2015)
DOI: 10.1016/j.sysconle.2015.08.008
See this article

## On the Rate of Convergence for Monotone Numerical Schemes for Nonlocal Isaacs Equations

Imran H. Biswas, Indranil Chowdhury and Espen R. Jakobsen
SIAM Journal on Numerical Analysis 57 (2) 799 (2019)
DOI: 10.1137/17M114995X
See this article

## Dynamic Interest-Rate Modelling in Incomplete Markets

Jesus Perez Colino
SSRN Electronic Journal (2008)
DOI: 10.2139/ssrn.2098419
See this article

## An Approximation Scheme for Semilinear Parabolic PDEs with Convex and Coercive Hamiltonians

Shuo Huang, Gechun Liang and Thaleia Zariphopoulou
SIAM Journal on Control and Optimization 58 (1) 165 (2020)
DOI: 10.1137/18M1198831
See this article

## Error Estimates of Penalty Schemes for Quasi-Variational Inequalities Arising from Impulse Control Problems

Christoph Reisinger and Yufei Zhang
SIAM Journal on Control and Optimization 58 (1) 243 (2020)
DOI: 10.1137/19M124040X
See this article

## On the structure of multifactor optimal portfolio strategies

Nikolai Dokuchaev
ESAIM: Control, Optimisation and Calculus of Variations 24 (3) 1043 (2018)
DOI: 10.1051/cocv/2017013
See this article

## Some regularity and convergence results for parabolic Hamilton-Jacobi-Bellman equations in bounded domains

Athena Picarelli, Christoph Reisinger and Julen Rotaetxe Arto
Journal of Differential Equations 268 (12) 7843 (2020)
DOI: 10.1016/j.jde.2019.11.081
See this article

## Hamilton–Jacobi equations for optimal control on multidimensional junctions with entry costs

Manh-Khang Dao and Boualem Djehiche
Nonlinear Differential Equations and Applications NoDEA 27 (2) (2020)
DOI: 10.1007/s00030-020-0625-z
See this article

## Dynamic portfolio selection with nonlinear transaction costs

Thamayanthi Chellathurai and Thangaraj Draviam
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461 (2062) 3183 (2005)
DOI: 10.1098/rspa.2005.1518
See this article

## Qualitative properties of generalized principal eigenvalues for superquadratic viscous Hamilton–Jacobi equations

Emmanuel Chasseigne and Naoyuki Ichihara
Nonlinear Differential Equations and Applications NoDEA 23 (6) (2016)
DOI: 10.1007/s00030-016-0422-x
See this article