Geodesic

Automatic programming, numerical methods and functional analysis

Sommaire

Editors' preface
A~large-block programming system
p. 4-15
Machine realization of computations with list classes as inputs
p. 16-36
Performance of analytic calculations on the \`EVM for solving certain types of differential equations
p. 37-44
The calculus of programming functional operations
p. 45-76
A~polynomial program and the development of the analytical layout in the \`EVM
p. 77-112
Solution of the eigenvalue problem for an arbitrary matrix
p. 113-135
Application of the staircase method, and of the $LR$ and $\Lambda P$ algorithms to matrices decomposed into blocks
p. 136-146
Computational methods for the solution of the general eigenvalue problem
p. 147-165
On evaluating certain types of definite integrals of oscillatory functions
p. 166-181
Some conditions for stability of the Petrov--Galerkin method
p. 182-189
Solvability by the Ritz method for functionals of the theory of plasticity
p. 190-195
The grid method for a~non-linear one-dimensional variational problem
p. 196-204
Some properties of differentiable functions of several variables
p. 205-226
Properties of certain classes of differentiable functions of several variables defined in an $n$-dimensional domain
p. 227-363
On equivalent normalizations of fractional spaces
p. 364-383