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检索条件"任意字段=7th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing"

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Fast Matrix Operations in Computer Algebra

Fast Matrix Operations in Computer Algebra

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Zak Tonks Gregory Sankaran James Davenport Departments of Mathematical Sciences and Computer Science University of Bath Bath United Kingdom

ISBN: (纸本)9781538626276

there has been surprisingly little written about the practical use of Strassenâ€“Winograd (as opposed to interpolation-based, and therefore oriented towards matrices of dense polynomials) fast matrix methods in computer algebra. We show that Strassenâ€“Winograd multiplication can be practically effective. We also derive a fraction-free method of fast matrix inversion, and investigate its efficiency.

关键词： Sparse matrices Testing scientific computing Computer science Modules (abstract algebra) numerical stability

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A numerical Solution of the Semi Linear Singularly Perturbed Boundary Value Problem Using Multi Region Finite Difference Method

A Numerical Solution of the Semi Linear Singularly Perturbed...

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： David Edwards Jr. IJL Research Center Newark VT USA

A multi region finite difference method is described and applied to the one dimension, semi linear, singularly perturbed boundary value problem (SPBVP). the process of developing high precision algorithms for this problem is described and it is shown that when the multi region method is combined with the use of these high order algorithms, numerical solutions can achieve accuracies in the range of 10-20. this represents a gain of between 9 to 14 orders of magnitude over current techniques.

关键词： Boundary value problems Finite difference methods scientific computing Mathematical model Physics Testing Fluid flow Differential equations Geometry Boundary conditions

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Local Optimization Often is Ill-conditioned in Genetic Programming for symbolic Regression

Local Optimization Often is Ill-conditioned in Genetic Progr...

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Gabriel Kronberger Josef Ressel Center for Symbolic Regression Heuristic and Evolutionary Algorithms Lab University of Applied Sciences Upper Austria

Gradient-based local optimization has been shown to improve results of genetic programming (GP) for symbolic regression. Several state-of-the-art GP implementations use iterative nonlinear least squares (NLS) algorithms such as the Levenberg-Marquardt algorithm for local optimization. the effectiveness of NLS algorithms depends on appropriate scaling and conditioning of the optimization problem. this has so far been ignored in symbolic regression and GP literature. In this study we use a singular value decomposition of NLS Jacobian matrices to determine the numeric rank and the condition number. We perform experiments with a GP implementation and six different benchmark datasets. Our results show that rank-deficient and ill-conditioned Jacobian matrices occur frequently and for all datasets. the issue is less extreme when restricting GP tree size and when using many non-linear functions in the function set.

关键词： Jacobian matrices scientific computing Genetic programming Benchmark testing Approximation algorithms Iterative algorithms Optimization

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Simple Venn Diagrams for Multisets

Simple Venn Diagrams for Multisets

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international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Aurelian Radoaca Department of Computer Science West University of Timisoara Romania

We introduce Venn diagrams for multisets and showhow they simplify the analysis of multisets. Venn diagrams arevery useful in proofs involving multisets and multiset orders, especially considering the complications introduced by the multiplicity of elements in multisets. We compare the Venn diagramsfor multisets with the corresponding ones for sets. thus, wepresent two types of Venn diagrams for multisets, a simple onethat looks like a diagram for sets, but with areas that are notnecessarily disjoint, and a complex one (compared to sets), butwith certain delimited disjoint areas.

关键词： Manganese Finite element analysis Indexes Computer science scientific computing Electronic mail

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Properties and Computation of the Functional Inverse of Gamma

Properties and Computation of the Functional Inverse of Gamm...

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： K. Amenyo Folitse David J. Jeffrey Robert M. Corless ORCCA and Dept. Applied Maths Western University Canada ORCCA and Dept. Applied Maths Uni. Western Ontario Canada

We define the functional inverse of the Gamma function. It is a multivalued function, and we define its branches. We present its basic properties, included series approximations, asymptotic results and numerical evalu... 详细信息

ISBN: (纸本)9781538626276

关键词： Convergence Newton method Computer science Taylor series scientific computing Turning Presses

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Workflow Management for symbolic Grid Services

Workflow Management for Symbolic Grid Services

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Alexandru Carstea Georgiana Macariu Marc Frincu Dana Petcu Institute e-Austria Timisoara Romania

the development of software systems for scientific exploration and discovery through computation has an important issue to address: the management of underlying computational steps. To support composition of Web and Grid services, standard workflow languages and workflow execution engines were built but management capabilities are not yet entirely explored. In the context of Grid services, we propose a solution for controlling the execution of workflows without the assistance of a user interface oriented workflow engine. We also investigate the capabilities that our solution may offer for related features such as dynamic retrieval of partial results, steering and provenance.

关键词： Engines Web services Grid computing Software development management Context-aware services Logic Workflow management software Software algorithms scientific computing Software systems

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Satisfiability and theories

Satisfiability and Theories

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Andrei Voronkov University of Manchester Institute of Science and Technology UK

Summary form only given. We give a simple introduction to satisfiability modulo theories intended for non-specialists. No previous background is assumed. the tutorial covers the following topics. 1) Propositional satisfiability. 2) DPLL as the main method for satisfiability checking. 3) Implementations of DPLL. 4) theories. 5) Decision procedures for theories. Congruence closure, the theory of arrays and linear arithmetic. 6) SMT: satisfiability modulo theories. How to convert a decision procedure for a set of literals to a DPLL modulo theory algorithm. 7) Satisfiability in a combination of theories. Instead of proving theorems, we will try to explain the main ideas using examples. the tutorial serves as a background for the second tutorial by Nikolaj Bjorner "SMT solvers for Testing, Program Analysis and Verification at Microsoft".

关键词： Surface-mount technology scientific computing Arithmetic Testing Logic

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A Rewrite Stack Machine for ROC!

A Rewrite Stack Machine for ROC!

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Georgiana Caltais Eugen-Ioan Goriac Dorel Lucanu Gheorghe Grigoras Faculty of Computer Science Alexandru Ioan Cuza슠University Iasi Romania

ROC! is a deterministic rewrite strategy language which includes the rewrite rules as basic operators, and the deterministic choice and the repetition as high-level strategy operators. In this paper we present a method which, for a given term Rewriting system (TRS) R, constructs a new TRS Rmacr such that R-rewriting is equivalent (sound and complete) with Rmacr-rewriting constrained by ROC!. Since Rmacr uses a stack, it is called a rewrite stack machine.

关键词： Commutation Differential equations scientific computing Computer science

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Empirical evaluation of LZW-Compressed Multiple Pattern Matching algorithms

Empirical evaluation of LZW-Compressed Multiple Pattern Matc...

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Mario Reja Faculty of Mathematics and Informatics West University of Timisoara Timisoara Romania

Data compression is used to reduce the cost of storing and transmitting increasingly large datasets in various domains ranging from bioinformatics to particle physics and general purpose computing. Most of these areas require the ability to scan the datasets for patterns like DNA sequences, malicious executable code or various other string queries, an operation that is hindered by the altered form of the data. In order to speed up the matching process, several compressed pattern matching algorithms have been previously proposed. this paper presents an overview of the state of the art in multiple pattern matching of Lempel-Ziv-Welch encoded archives, together with experimental results.

关键词： Runtime Costs scientific computing Memory management DNA Automata Static analysis

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A Duality-Aware Calculus for Quantified Boolean Formulas

A Duality-Aware Calculus for Quantified Boolean Formulas

引用

international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Katalin Fazekas Martina Seidl Armin Biere Institute for Formal Models and Verification Johannes Kepler University Linz Austria

ISBN: (纸本)9781509057085

Learning and backjumping are essential features in search-based decision procedures for Quantified Boolean Formulas (QBF). To obtain a better understanding of such procedures, we present a formal framework, which allows to simultaneously reason on prenex conjunctive and disjunctive normal form. It captures both satisfying and falsifying search states in a symmetric way. this symmetry simplifies the framework and offers potential for further variants.

关键词： Calculus Reactive power Standards scientific computing Computational modeling numerical models Cognition

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