### Table I. Test Matrices and Their Disciplines Discipline Matrices

2003

Cited by 38

### Table 2: Some formalisms used to specify structured dynamical systems according to the continuous or discrete nature of space, time, and state variables of the components. The heading Numerical Solutions refers to explicit numerical solutions of partial differential equations and systems of coupled ordinary differential equations.

2002

Cited by 1

### Table 1. Root

"... In PAGE 17: ... Details of this solution method are given in References 2 and 3. The resulting natural frequencies are shown in Table1 . Note that the exact values are calculated from the governing partial differential equation as given in Reference 1.... ..."

### Table 1. Information and DVFS settings obtained by RDO for SPEC benchmark 173.applu. Average numbers are per million micro-operations retired.

"... In PAGE 7: ...age results obtained from three separate runs. Table1 shows program information and results obtained by the RDO system for SPEC benchmark 173.applu, a program for elliptic partial differential equations.... ..."

### TABLE IV DIFFERENTIAL EQUATION

1997

Cited by 6

### Table 1. Electromechanical analogies.

"... In PAGE 4: ... Electromechanical analogies allow usage of these laws for non-electrical systems, too. Some of these analogies are given in Table1 [9]. Table 1.... In PAGE 4: ... The reason is that the production of mechanical joints or rotational elements is very difficult and such devices are not reliable. On the other hand, bending of membranes, beams and other often used micromachined structures cannot be described by analogies given in Table1 . Partial differential equations (with derivatives with respect to spatial coordinates) are often necessary for description of such models.... ..."

### Table 3 summarizes the benchmarks used. All 14 are chosen from the SPEC2000 benchmark-suite, including 7 from SPECint and 7 from SPECfp.

2003

"... In PAGE 5: ...393 Table 2. Peak Power and area statistics of the cores Program Description ammp Computational Chemistry applu Parabolic/Elliptic Partial Differential Equations apsi Meteorology:Pollutant Distribution art Image Recognition/Neural Networks bzip2 Compression crafty Game Playing:Chess eon Computer Visualization equake Seismic Wave Propagation Simulation fma3d Finite-element Crash Simulation gzip Compression mcf Combinatorial Optimization twolf Place and Route Simulator vortex Object-oriented Database wupwise Physics/Quantum Chromodynamics Table3 . Benchmarks simulated.... ..."

Cited by 6

### Table 1. NAS W class benchmark results (MOP/s) for sixteen processors, including relative (rel.) performance.

"... In PAGE 6: ... For example, MG is a multigrid kernel for solving a 3D Poisson Partial Differential Equation set, being a hierarchical version with rapid convergence of the application. Table1 records the results. The Table also includes results for the MPICH version of MPI, with ch p4 being the standard MPICH method of spawning remote processes via the Unix utility rsh.... In PAGE 6: ... The Table also includes results for the MPICH version of MPI, with ch p4 being the standard MPICH method of spawning remote processes via the Unix utility rsh. The first two rows of Table1 are taken from Table 2 of13, also for 16 processors and W class problems. It will be seen that the message sizes are large for some of the tests, though for LU and MG they are about 1 KB and below the MTU.... ..."