Concepedia

Finite difference Jacobian based Newton-Krylov coupling method for solving multi-physics nonlinear system of nuclear reactor

Baokun Liu, Yingjie Wu, Jiong Guo, Zhang Han, Jinlin Niu, Fu Li

Annals of Nuclear Energy · 2020 · 17 citations · 21 references

Concepts

EngineeringNuclear EngineeringPhysicsComputational PhysicsNuclear PhysicsReactor PhysicsFinite Difference MethodsMultiphysics AnalysisReactor DynamicsReactor KineticsReactor ModelingSystems Of Differential EquationsFinite Difference Solution Of Partial Differential EquationsMulti-physics Reactor TransientsMultiphysics Coupling AlgorithmsMultiphysics Model ReductionNonlinear Solver CouplingNonlinear System ModelingNuclear Reactor Design

References

21

Iterative methods for linear and nonlinear equations

Choice Reviews Online · 1996 · 2K citations

Natural Sciences, Mathematics, Differential Equations +15

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

D. A. Knoll, David E. Keyes · Journal of Computational Physics · 2003 · 1.9K citations

Natural Sciences, Mathematics, Computational Mechanics +11

Hybrid Krylov Methods for Nonlinear Systems of Equations

Peter N. Brown · SIAM Journal on Scientific and Statistical Computing · 1990 · 750 citations

Computing, Computer Science, Mathematics +17

Multidimensional multiphysics simulation of nuclear fuel behavior

R.L. Williamson, Jason Hales, Stephen Novascone et al. · Journal of Nuclear Materials · 2012 · 515 citations

Engineering, Nuclear Engineering, Physics +14

Estimation of Sparse Jacobian Matrices and Graph Coloring Blems

Thomas F. Coleman, Jorge J. Morè · SIAM Journal on Numerical Analysis · 1983 · 467 citations

Computing, Computer Science, Algorithms +13