- 
                            
                            
                                                            
                            
                                                                    65-00                                                            
                            General reference works (handbooks, dictionaries, bibliographies, etc.)
                         
                                                - 
                            
                            
                                                            
                            
                                                                    65-01                                                            
                            Instructional exposition (textbooks, tutorial papers, etc.)
                         
                                                - 
                            
                            
                                                            
                            
                                                                    65-02                                                            
                            Research exposition (monographs, survey articles)
                         
                                                - 
                            
                            
                                                            
                            
                                                                    65-03                                                            
                            Historical (must also be assigned at least one classification number from Section 01)
                         
                                                - 
                            
                            
                                                            
                            
                                                                    65-04                                                            
                            Explicit machine computation and programs (not the theory of computation or programming)
                         
                                                - 
                            
                                                            
                            
                                                            
                            
                                                                    65-05                                                            
                            Experimental papers
                         
                                                - 
                            
                            
                                                            
                            
                                                                    65-06                                                            
                            Proceedings, conferences, collections, etc.
                         
                                                - 
                            
                            
                                                            
                            
                            Tables
                         
                                                - 
                            
                            
                                                                    (+1)
                                                            
                            
                            Acceleration of convergence
                         
                                                - 
                            
                            
                                                                    (+75)
                                                            
                            
                            Probabilistic methods, simulation and stochastic differential equations 
{For theoretical aspects, see  
68U20 and  
60H35}
 
                         
                                                - 
                            
                            
                                                                    (+69)
                                                            
                            
                            Numerical approximation and computational geometry (primarily algorithms) 
{For theory, see  
41-XX and  
68Uxx}
 
                         
                                                - 
                            
                            
                                                                    (+4)
                                                            
                            
                            Numerical methods in complex analysis (potential theory, etc.) 
{For numerical methods in conformal mapping, see also  
30C30}
 
                         
                                                - 
                            
                            
                                                                    (+48)
                                                            
                            
                            Numerical linear algebra
                         
                                                - 
                            
                            
                                                                    (+3)
                                                            
                            
                            Error analysis and interval analysis
                         
                                                - 
                            
                            
                                                                    (+13)
                                                            
                            
                            Nonlinear algebraic or transcendental equations
                         
                                                - 
                            
                            
                                                                    (+51)
                                                            
                            
                            Numerical analysis in abstract spaces
                         
                                                - 
                            
                            
                                                                    (+23)
                                                            
                            
                            Mathematical programming, optimization and variational techniques
                         
                                                - 
                            
                            
                                                                    (+31)
                                                            
                            
                            Ordinary differential equations
                         
                                                - 
                            
                            
                                                                    (+113)
                                                            
                            
                            Partial differential equations, initial value and time-dependent initial-boundary value problems
                         
                                                - 
                            
                            
                                                                    (+119)
                                                            
                            
                            Partial differential equations, boundary value problems
                         
                                                - 
                            
                            
                                                                    (+7)
                                                            
                            
                            Numerical problems in dynamical systems 
[See also  
37Mxx]
 
                         
                                                - 
                            
                                                            
                            
                                                                    (+3)
                                                            
                            
                            Difference and functional equations, recurrence relations
                         
                                                - 
                            
                            
                                                                    (+45)
                                                            
                            
                            Integral equations, integral transforms
                         
                                                - 
                            
                            
                                                            
                            
                            Graphical methods
                         
                                                - 
                            
                            
                                                                    (+47)
                                                            
                            
                            Numerical methods in Fourier analysis
                         
                                                - 
                            
                            
                                                                    (+26)
                                                            
                            
                            Computer aspects of numerical algorithms
                         
                                                - 
                            
                            
                                                                    (+10)
                                                            
                            
                            Applications to physics