In this work a technique of solution for a class of linear equations in a Hilbert space H is described. The method is based on the Gram-Schmidt orthogonalization of a suitable base of a subspace of H. A particular case when the operator is the product of two projection operators is considered....

A review of the important considerations necessary in modelling the dynamic response of tension-leg platforms to environmental loading is made in this paper. Techniques for simulating wind and wave forces are suggested and a sample study conducted to demonstrate the importance of wind loading...

Frequently used Walsh functions can be classified into three forms: (1) Sequency-ordered, (2) Dyadic-ordered and (3) Hadamard-ordered. For converting one form into others, the existing methods are complicated in calculation. This paper establishes six algorithms for doing these conversions.

A computer approach for simulating a feedback system and its adaptive versions is presented. It is conceived with recursion formulas to describe the interconnected elements of the system. The potential of the approach is explored by applying it to an existing practical system. It is then...

A tutorial-review of discrete transforms is presented. This includes the properties of these transforms, comparison of their utility and effectiveness in digital signal processing. Specific applications are also presented.

Economic models often involve large systems of linear equations which are sparsely populated with nonzero entries. The use of sparse solution packages to solve these models saves computer CPU time, and, more importantly, has the potential to conserve large portions of the research time of...

This paper is concerned with the development of efficient procedures for the design of two-dimensional (2-D) finite impulse response (FIR) digital filters. Symmetry properties of 2-D real functions are employed to derive a number of results on the transformation functions useful in...

Simulations of spatial patterns and processes provide a means to embody hypotheses about forest ecosystems, especially when used in the interpretation of field results. The systems that we have modelled in this way include: fire spread through patchy fuels; bushfires in a forest community;...

This paper describes a process control course at Taylor Instrument Pty. Ltd., Melbourne, in which industrial process recording and control hardware is interfaced to computer simulated process plant and instrumentation. A number of process plants are provided in simulated form and five work...

Computers with vector architecture perform arithmetic much faster than conventional machines but only where the work can be organized into similar operations on all elements of long vectors. Field problems have a suitable structure within the model itself. Most other simulation problems lack...