Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation

DOI10.1007/s00211-023-01344-0OpenAlexW4319225915MaRDI QIDQ2690324

Mehakpreet Singh, Jitraj Saha

Publication date: 16 March 2023

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-023-01344-0

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (2)

Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation ⋮ Enhancing efficiency in particle aggregation simulations: coarse-grained particle modeling in the DEM-PBM coupled framework

Cites Work

• Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique
• Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique
• Convergence of a discretization method for integro-differential equations
• Numerical solutions for multidimensional fragmentation problems using finite volume methods
• Finite volume approach for fragmentation equation and its mathematical analysis
• Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation
• Modeling, analysis, and numerical solution of stirred liquid-liquid dispersions
• Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis
• Exact solutions for the coagulation-fragmentation equation
• On the approximate solutions of fragmentation equations
• New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis
• New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization
• Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation
• Challenges and opportunities concerning numerical solutions for population balances: a critical review

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