A Numerical Technique of the Time Fractional Gas Dynamics Equation Using Finite Element Approach with Cubic Hermit Element

JOURNAL ARTICLE published 2022 in Applied and Computational Mathematics

Difference Scheme for the Numerical Solution of the Burgers Equation

JOURNAL ARTICLE published December 2020 in Computational Mathematics and Mathematical Physics

Authors: V. V. Markov | V. N. Utesinov

Numerical aspects of large-time optimal control of Burgers equation

JOURNAL ARTICLE published September 2016 in ESAIM: Mathematical Modelling and Numerical Analysis

Authors: Navid Allahverdi | Alejandro Pozo | Enrique Zuazua

Adjoint concepts for the optimal control of Burgers equation

JOURNAL ARTICLE published January 2007 in Computational Optimization and Applications

Authors: Antje Noack | Andrea Walther

The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation

JOURNAL ARTICLE published April 2021 in Advances in Computational Mathematics

Research funded by Natural Science Foundation of China (11671081) | Postdoctoral Research Foundation of China (2018M642131) | Natural Science Foundation of China (11501514) | Visiting Scholar Program of China Scholarship Council (201908330528)

Authors: Xuping Wang | Qifeng Zhang | Zhi-zhong Sun

On Aronsson Equation and Deterministic Optimal Control

JOURNAL ARTICLE published April 2009 in Applied Mathematics and Optimization

Authors: Pierpaolo Soravia

Active damping of smart piezoelectric plates using variational approach

PROCEEDINGS ARTICLE published November 2011 in 2011 2nd International Conference on Instrumentation Control and Automation

Authors: Ibrahim Sadek | Ismail Kucuk

Convergence of a Generalized Riemann Problem Scheme for the Burgers Equation

JOURNAL ARTICLE published 16 January 2024 in Communications on Applied Mathematics and Computation

Research funded by Chinesisch-Deutsche Zentrum für Wissenschaftsfórderung (GZ1465) | Chinesisch-Deutsche Zentrum für Wissenschaftsförderung (GZ1465)

Authors: Mária Lukáčová-Medvid’ová | Yuhuan Yuan

A Deep Quench Approach to the Optimal Control of an Allen–Cahn Equation with Dynamic Boundary Conditions and Double Obstacles

JOURNAL ARTICLE published February 2015 in Applied Mathematics & Optimization

Authors: Pierluigi Colli | M. Hassan Farshbaf-Shaker | Jürgen Sprekels

Optimal Control of a Parabolic Equation with Dynamic Boundary Condition

JOURNAL ARTICLE published February 2013 in Applied Mathematics & Optimization

Authors: D. Hömberg | K. Krumbiegel | J. Rehberg

A posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem

JOURNAL ARTICLE published July 2011 in Numerical Analysis and Applications

Authors: Z. Lu

Robust optimal Robin boundary control for the transient heat equation with random input data

JOURNAL ARTICLE published 12 October 2016 in International Journal for Numerical Methods in Engineering

Research funded by Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia (19274/PI/14,MTM2013-47053-P)

Authors: J. Martínez‐Frutos | M. Kessler | A. Münch | F. Periago

Numerical analysis for optimal shape design in elliptic boundary value problems

JOURNAL ARTICLE published 1988 in Applications of Mathematics

Authors: Zdeněk Kestřánek

An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis

JOURNAL ARTICLE published January 2016 in SIAM Journal on Applied Dynamical Systems

Research funded by National Science Foundation (DMS-1311553)

Authors: Kelly McQuighan | C. Eugene Wayne

Numerical Approach for Solving Two-Dimensional Time-Fractional Fisher Equation via HABC-N Method

JOURNAL ARTICLE published 15 September 2023 in Communications on Applied Mathematics and Computation

Research funded by National Natural Science Foundation of China (11371135) | Fundamental Research Funds for the Central Universities (2021MS045)

Authors: Ren Liu | Lifei Wu

A compressible boundary layer optimal control approach using nonlinear boundary region equations

COMPONENT published 2 August 2021

Numerical solution of the coupled viscous Burgers’ equation

JOURNAL ARTICLE published March 2011 in Communications in Nonlinear Science and Numerical Simulation

Authors: R.C. Mittal | Geeta Arora

A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer

JOURNAL ARTICLE published September 2022 in Computational and Applied Mathematics

Authors: Musa Cakir | Yilmaz Ekinci | Erkan Cimen

Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network

JOURNAL ARTICLE published April 2024 in Applied Mathematics & Optimization

Authors: Marcelo Bongarti | Michael Hintermüller

A priori estimates for optimal Dirichlet boundary control problems

JOURNAL ARTICLE published December 2009 in PAMM

Authors: Klaus Deckelnick | Andreas Günther | Michael Hinze