## 3,212 Citations

### A unified formulation of splitting-based implicit time integration schemes

- Computer ScienceJ. Comput. Phys.
- 2022

### Higher Order Auxiliary Field Quantum Monte Carlo Methods

- PhysicsJournal of Physics: Conference Series
- 2022

The auxiliary field quantum Monte Carlo (AFQMC) method has been a workhorse in the field of strongly correlated electrons for a long time and has found its most recent implementation in the ALF…

### Numerical Investigation of Modified Fornberg Whitham Equation

- MathematicsMathematical Sciences and Applications E-Notes
- 2021

The aim of this study is to obtain numerical solutions of the modified Fornberg Whitham equation via collocation finite element method combined with operator splitting method. The splitting method is…

### Detailed Population Balance Modelling of Titanium Dioxide Nanoparticle Synthesis

- Chemistry
- 2020

Venator National Research Foundation (NRF), Prime Minister’s Office, Singapore under its Campus for Research Excellence and Technological Enterprise (CREATE) programme.

### Numerical Solution of Burger's Type Equation Using Finite Element Collocation method with Strang Splitting

- PhysicsMathematical Sciences and Applications E-Notes
- 2020

The nonlinear Burgers equation, which has a convection term, a viscosity term and a time dependent term in its structure, has been splitted according to the time term and then has been solved by…

### Computational Simulation and Modeling of Heat Release Effects on Turbulence in Turbulent Reacting Flow

- Engineering, Physics
- 2018

This dissertation concerns the analysis and modeling of turbulence dynamics in turbulent combustion. In certain regimes of turbulent combustion, dilatation (volumetric expansion) induced by chemical…

### Operator Splitting Solution of Equal Width Wave Equation Based on the Lie-Trotter and Strang Splitting Methods

- Physics
- 2018

In the present work, we have applied four different algoritms based on the Lie-Trotter and Strang splitting methods to obtain numerical solution of Equal Width (EW) equation. For this purpose, EW…

### Operator splitting for numerical solution of the modified Burgers' equation using finite element method

- MathematicsNumerical Methods for Partial Differential Equations
- 2018

The aim of this study is to obtain numerical behavior of a one‐dimensional modified Burgers' equation using cubic B‐spline collocation finite element method after splitting the equation with Strang…

### Operator splitting for numerical solutions of the RLW Equation

- Mathematics
- 2018

In this study, the numerical behavior of the one-dimensional Regularized Long Wave (RLW) equation has been sought by the Strang splitting technique with respect to time. For this purpose, cubic…

### Méthode d'interface immergée pour la simulation directe de l'atomisation primaire. (Immersed Interface Method for Direct Numerical Simulation of primary atomization)

- Physics
- 2017

A new strategy, to overcome the numerical instabilities induced by the large densities/shears at the interface, is described for staggered cartesian grids, consisting in a consistent mass-momentum advection algorithm where mass and momentum transport equations are solved in the same control volumes.

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Numerical methods are described for the calculation of two-dimensional time-dependent in viscid flows that contain shocks. Methods are employed which do not consider the shock as in interior moving…

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- Computer Science
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- Mathematics
- 1960

Abstract : In this paper a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear…