Name
Title | ||
|---|---|---|
H-matrix methods for linear and quasi-linear integral operators appearing in population balances |
Abstract | ||
|---|---|---|
In population dynamics, the source term of breakage and the sink term of coagulation are often described by linear and quasi-linear operators, respectively. These operators are characterised by their kernel functions. Naive discretisation leads to full matrices and therefore to quadratic complexity O(n2), if n denotes the number of degrees of freedom. For several popular kernel functions, e.g. the modified Smoluchowski kernel, an efficient treatment is introduced using the ideas of H-matrices. This approach leads to linear complexity O(n). |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.compchemeng.2006.07.012 | Computers & Chemical Engineering |
Keywords | DocType | Volume |
Population balance equation,Population dynamics,Dispersion,Breakage,Agglomeration,Aggregation,Coagulation,Coalescence,H-matrix,Fast methods,Integral operator | Journal | 31 |
Issue | ISSN | Citations |
7 | 0098-1354 | 3 |
PageRank | References | Authors |
0.67 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jürgen Koch | 1 | 44 | 19.88 |
| Wolfgang Hackbusch | 2 | 423 | 47.67 |
| Kai Sundmacher | 3 | 49 | 12.51 |