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FORTRAN-SC a study of a FORTRAN extension for engineering/scientific computation with access to ACRITH

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/j.2637-496x.1984.tb02133.xopenalex-snapshot

High Resolution Computer Graphics Support IBM Graphics Software

inferredcites →https://doi.org/10.1007/3-540-16798-6_1openalex-snapshot

Computing elementary functions: A new approach for achieving high accuracy and good performance

inferredcites →https://doi.org/10.1007/bf02237949openalex-snapshot

FORTRAN for contemporary numerical computation

inferredcites →https://doi.org/10.1016/b978-0-12-428660-3.50010-0openalex-snapshot

SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY

inferredcites →https://doi.org/10.1016/c2013-0-11018-5openalex-snapshot

Computer Arithmetic in Theory and Practice

inferredcites →https://doi.org/10.1016/c2013-0-11019-7openalex-snapshot

A New Approach to Scientific Computation

inferredcites →https://doi.org/10.1137/1.9780898717716openalex-snapshot

Introduction to Interval Analysis

inferredcites →https://doi.org/10.1147/rd.302.0126openalex-snapshot

New scalar and vector elementary functions for the IBM System/370

inferredcites →https://doi.org/10.1147/sj.251.0051openalex-snapshot

The IBM System/370 vector architecture

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/zamm.19940741210openalex-snapshot

An Existence and Inclusion Method for Two‐Point Boundary Value Problems with Turning Points

inferred← citeshttps://doi.org/10.1007/3-540-63371-5_53openalex-snapshot

SPARTH: A family of systems for parallel high-accuracy computations

inferred← citeshttps://doi.org/10.1007/978-1-4612-3704-4_12openalex-snapshot

Interval Mathematics Techniques for Control Theory Computations

inferred← citeshttps://doi.org/10.1007/978-1-4613-1457-8_1openalex-snapshot

Variable-Precision, Interval Arithmetic Processors

inferred← citeshttps://doi.org/10.1007/978-1-4613-3440-8_14openalex-snapshot

Software and Hardware Techniques for Accurate, Self-Validating Arithmetic

inferred← citeshttps://doi.org/10.1007/978-1-4613-3440-8_8openalex-snapshot

Interval Computations on the Spreadsheet

inferred← citeshttps://doi.org/10.1007/978-1-4613-9092-3_4openalex-snapshot

Floating-Point Systems for Theorem Proving

inferred← citeshttps://doi.org/10.1007/978-1-4684-6389-7_18openalex-snapshot

Is Floating-Point Arithmetic Still Adequate?

inferred← citeshttps://doi.org/10.1007/978-3-0348-8942-1_28openalex-snapshot

Enclosure methods with existence proof for elliptic differential equations

inferred← citeshttps://doi.org/10.1007/978-3-642-83874-3_4openalex-snapshot

Enclosing all Eigenvalues of Symmetric Matrices

inferred← citeshttps://doi.org/10.1007/978-3-642-85983-0_14openalex-snapshot

Interval Constraint Programming in C++

inferred← citeshttps://doi.org/10.1007/978-3-7091-0525-2_1openalex-snapshot

Fast and Accurate Vector Operations

inferred← citeshttps://doi.org/10.1007/978-3-7091-6282-8_4openalex-snapshot

Elements of Scientific Computing

inferred← citeshttps://doi.org/10.1007/978-3-7091-6918-6_10openalex-snapshot

The Cluster Problem in Global Optimization: the Univariate Case

inferred← citeshttps://doi.org/10.1007/978-3-7091-6918-6_19openalex-snapshot

FORTRAN-XSC A Portable Fortran 90 Module Library for Accurate and Reliable Scientific Computing

inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_1openalex-snapshot

Automatic Result Verification

inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_10openalex-snapshot

Stability Test for Periodic Differential Equations on Digital Computers with Applications

inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_13openalex-snapshot

Precise Evaluation of Polynomials in Several Variables

inferred← citeshttps://doi.org/10.1007/978-3-7091-6957-5_17openalex-snapshot

Inclusion Algorithms with Functions as Data

inferred← citeshttps://doi.org/10.1007/978-90-481-2636-1_4openalex-snapshot

Interval analysis and verification of mathematical models

inferred← citeshttps://doi.org/10.1007/bf00944567openalex-snapshot

Bounds for eigenvalues of second-order elliptic differential operators

inferred← citeshttps://doi.org/10.1007/bf00945108openalex-snapshot

Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method

inferred← citeshttps://doi.org/10.1007/bf01096455openalex-snapshot

The cluster problem in multivariate global optimization

inferred← citeshttps://doi.org/10.1007/bf02096403openalex-snapshot

Constructing large feasible suboptimal intervals for constrained nonlinear optimization

inferred← citeshttps://doi.org/10.1007/bf02238302openalex-snapshot

Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side

inferred← citeshttps://doi.org/10.1007/bf02238730openalex-snapshot

An interval method for bounding level sets of parameter estimation problems

inferred← citeshttps://doi.org/10.1007/bf02241862openalex-snapshot

A programmed algorithm for existence proofs for two-point boundary value problems

inferred← citeshttps://doi.org/10.1007/bf02276877openalex-snapshot

Interval extensions of non-smooth functions for global optimization and nonlinear systems solvers

inferred← citeshttps://doi.org/10.1007/bf02331571openalex-snapshot

Rigorous solution of linear programming problems with uncertain data

inferred← citeshttps://doi.org/10.1007/bf02388187openalex-snapshot

Variable-precision, interval arithmetic coprocessors

inferred← citeshttps://doi.org/10.1016/0020-0190(95)00205-7openalex-snapshot

A circuit for exact summation of floating-point numbers

inferred← citeshttps://doi.org/10.1016/0167-9236(91)90045-dopenalex-snapshot

Arithmetic for vector and parallel computers

inferred← citeshttps://doi.org/10.1016/b978-0-08-057130-0.50012-9openalex-snapshot

Special Topics

inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50006-3openalex-snapshot

What Do We Need Beyond IEEE Arithmetic ?

inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50011-7openalex-snapshot

Programming Languages for Enclosure Methods

inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62840-4openalex-snapshot

PASCAL-XSC New Concepts for Scientific Computation and Numerical Data Processing

inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62841-6openalex-snapshot

ACRITH-XSC A Fortran—like Language for Verified Scientific Computing

inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62843-xopenalex-snapshot

Proposal for Accurate Floating-Point Vector Arithmetic

inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62857-xopenalex-snapshot

Bibliography on Enclosure Methods and Related Topics

inferred← citeshttps://doi.org/10.1023/a:1009962521566openalex-snapshot

Computing on Sequences of Embedded Intervals

inferred← citeshttps://doi.org/10.1061/(asce)0733-9445(1999)125:1(98)openalex-snapshot

Bounds of Structural Response for All Possible Loading Combinations

inferred← citeshttps://doi.org/10.1109/aispas.1995.401349openalex-snapshot

Parallel algorithm for solving systems of linear equations with dynamically changed length of operands

inferred← citeshttps://doi.org/10.1109/aispas.1997.581685openalex-snapshot

Portable multiprecision arithmetic package based on message passing interface

inferred← citeshttps://doi.org/10.1109/arith.1991.145535openalex-snapshot

Exact accumulation of floating-point numbers

inferred← citeshttps://doi.org/10.1109/isuma.1995.527780openalex-snapshot

Development of interval based methods for fuzziness in continuum-mechanics

inferred← citeshttps://doi.org/10.1145/200979.200991openalex-snapshot

A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization

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