Polynomial time algorithms for finding integer relations among real numbers
SIAM Journal on Computing
FFTs in external or hierarchical memory
The Journal of Supercomputing
Algorithm 719: Multiprecision translation and execution of FORTRAN programs
ACM Transactions on Mathematical Software (TOMS)
A multiple-precision division algorithm
Mathematics of Computation
Algorithm 786: multiple-precision complex arithmetic and functions
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Design, implementation and testing of extended and mixed precision BLAS
ACM Transactions on Mathematical Software (TOMS)
Computing in Science and Engineering
High performance computing meets experimental mathematics
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
An encyclopaedia of cubature formulas
Journal of Complexity
Journal of Computational and Applied Mathematics
Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Timoshenko Beams
Journal of Scientific Computing
Algorithm 871: A C/C++ precompiler for autogeneration of multiprecision programs
ACM Transactions on Mathematical Software (TOMS)
VSVO formulation of the taylor method for the numerical solution of ODEs
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Applications of FFT and structured matrices
Algorithms and theory of computation handbook
Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations
ACM Transactions on Mathematical Software (TOMS)
MPL: a multiprecision matlab - like environment
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS
ACM Transactions on Mathematical Software (TOMS)
An analysis of a vacuum diode model
Computational Mathematics and Mathematical Physics
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A new version of a Fortran multiprecision computation system, based on the Fortran 90 language, is described. With this new approach, a translator program is not required—translation of Fortran code for multiprecision is accomplished by merely utilizing advanced features of Fortran 90, such as derived data types and operator extensions. This approach results in more-reliable translation and permits programmers of multiprecision applications to utilize the full power of Fortran 90. Three multiprecision data types are supported in this system: multiprecision integer, real, and complex. All the usual Fortran conventions for mixed-mode operations are supported, and many of the Fortran intrinsics, such as SIN, EXP, and MOD, are supported with multiprecision arguments. An interesting application of this software, wherein new number-theoretic identities have been discovered by means of multiprecision computations, is included also.