Algorithms for the Haar wavelet based fast evaluation of aggregation integrals in population balance equations

DOI10.1016/j.apnum.2016.02.009zbMath1346.65077OpenAlexW2356691142MaRDI QIDQ739013

Sabine Le Borne, Lusine Shahmuradyan

Publication date: 16 August 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.02.009

zbMATH Keywords

aggregationlinear complexityintegro-partial differential equationspopulation balance equationfast wavelet transformationlocally refined nested gridsprediction process

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Production models (90B30) Numerical methods for wavelets (65T60) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids ⋮ Tensor trains and moment conservation for multivariate aggregation in population balance modeling ⋮ Finite volume approximation of multidimensional aggregation population balance equation on triangular grid ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Cites Work

• Adaptive recompression of \(\mathcal H\)-matrices for BEM
• On the efficient evaluation of coalescence integrals in population balance models
• Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique
• Adaptive low-rank approximation of collocation matrices
• Convergence analysis of sectional methods for solving aggregation population balance equations: the fixed pivot technique
• Approximation of coalescence integrals in population balance models with local mass conservation
• Hybrid cross approximation of integral operators
• Convolution of hp-functions on locally refined grids
• Unnamed Item

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