1

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 1: Physical Origins and Classical Methods
R. Dautray and J. L. Lions
Springer-Verlag, 2000
The first of 6 volumes, Chapter 1 presents the physical models examined in the series, Chapter 2 examines the Laplace operator using classical tools.

2

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 5: Evolution Problems I
R. Dautray and J. L. Lions
Springer-Verlag, 1992
Covers evolution problems, including Cauchy problems, the method of diagonalisation, the method of Laplace, transformation, the method of semigroups, and variational methods.

3

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 6: Evolution Problems II
R. Dautray and J. L. Lions
Springer-Verlag, 1992
Covers problems of transport and evolution, including the linearised Navier-Stokes equations and numerical methods for evolution problems.

4

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 2: Functional and Variational Methods
R. Dautray and J. L. Lions
Springer-Verlag, 1990
The second of 6 volumes, covers functional and variational methods including transformations, Sobolev spaces, linear differential operators, operators in Banach spaces and in Hilbert spaces, and linear variational problems.

5

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 4: Integral Equations and Numerical Methods
R. Dautray and J. L. Lions
Springer-Verlag, 1990
Covers mixed problems and the Tricomi equation, integral equations, numerical methods for stationary problems, and approximation of integral equations by finite elements.

6

Mathematical Analysis and Numerical Methods for Science and Technology
Volume 3: Spectral Theory and Applications
R. Dautray and J. L. Lions
Springer-Verlag, 1990
Spectral theory of operators of various types, with examples drawn from classical electromagnetism and from quantum mechanics.