114 citations
- Universidade de São PauloBR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Grand Accélérateur National d'Ions LourdsFR4 papers
- Omsk State Technical UniversityRU4 papers
- Sobolev Institute of MathematicsRU4 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR3 papers
- Kyoto UniversityJP3 papers
- Russian Academy of SciencesRU3 papers
- Yukawa Institute for Theoretical PhysicsJP3 papers
- Chinese Academy of SciencesCN2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- Institute of Nuclear Physics, Polish Academy of SciencesPL2 papers
80 papers
Improving the local solution of the DG predictor of the ADER-DG method for solving systems of ordinary differential equations and its applicability to systems of differential-algebraic equations
I. S. Popov
Improved local numerical solution for the ADER-DG numerical method with a local DG predictor for solving the initial value problem for a first-order ODE system is proposed. The imp…
Theory and internal structure of ADER-DG method for ordinary differential equations
I. S. Popov
Investigation of the approximation properties, convergence, and stability of the ADER-DG method for solving an ODE system is carried out. The ADER-DG method is - and -stable…
High order ADER-DG method with local DG predictor for solutions of differential-algebraic systems of equations
I. S. Popov
A numerical method ADER-DG with a local DG predictor for solving a DAE system has been developed, which was based on the formulation of ADER-DG methods using a local DG predictor f…
Arbitrary high order ADER-DG method with local DG predictor for solutions of initial value problems for systems of first-order ordinary differential equations
I. S. Popov
An adaptation of the arbitrary high order ADER-DG numerical method with local DG predictor for solving the IVP for a first-order non-linear ODE system is proposed. The proposed num…
Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows
I. S Popov
The space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter was used to simulate no…
Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation
I. S. Popov
The space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting was used for simulation of multidimensional r…