Numerical algorithms. Medical search. Frequent questions

An instructor could assemble several different one-semester courses using this book-numerical linear algebra and interpolation, or numerical solutions of differential equations-or perhaps a two-semester sequence. (princeton.edu)
I am interested in investigating new methods for computationally intensive problems in statistics and data science using numerical linear algebra. (essex.ac.uk)

In this paper, we focus on the computation of the stationary distribution of a transition matrix from the viewpoint of the Perron vector of a nonnegative matrix, based on which an algorithm for the stationary distribution is proposed. (hindawi.com)
Furthermore, one of the proposed parallel algorithms exploits the special structure of the MPC problem even in the parallel computations, which improves performance in terms of computation time even more. (dissertations.se)
T. V. Rechkalov and M. L. Zymbler, "A Parallel Algorithm of Euclidean Distance Matrix Computation for the Intel Xeon Phi Knights Landing Many-Core Processor," Vestn. (num-meth.ru)
Tasy, A, Santamaria, GL & Nita, BG 2013, ' Numerical evaluation of a one-dimensional inverse scattering algorithm for simultaneous seismic imaging and inversion ', Applied Mathematics and Computation , vol. 219, no. 10, pp. 5049-5069. (montclair.edu)
Numerical computation of the sieved estimator is of great interest for practical problems, such as forensic DNA analysis, and we present a computational algorithm based on the stochastic approximation of the expectation maximization algorithm. (lu.se)

Article: Numerical solution of the Schrödinger equations via a reliable algorithm Journal: International Journal of Computing Science and Mathematics (IJCSM) 2015 Vol.6 No.5 pp.417 - 424 Abstract: In this paper, a reliable algorithm for solving Schrödinger equations is established. (inderscience.com)
The course is an elective course for second-cycle studies for a degree of Master of Science in Mathematics with specialisation in Numerical Analysis, and an compulsory course for a degree of Master of Science in Computational Science with specialisation in Geoscience, and an alternative-compulsory course for a degree of Master of Science in Computational Science with specialisation in Scientific Computing and Physics. (lu.se)
Admission to the course requires 90 higher education credits in mathematics and science, including knowledge equivalent to NUMA01 Computational Programming with Python, 7.5 credits, and an additional 7.5 credits in numerical analysis. (lu.se)
Numerical strategies for recursive least squares solutions to the matrix equation AX = B . International Journal of Computer Mathematics. (essex.ac.uk)

Electronic Transactions on Numerical Analysis, Bd. (oeaw.ac.at)

Hence, high-performance IP and AS methods for CFTOC problems rely on efficient algorithms for solving the UFTOC problems.The solution to a UFTOC problem is computed by solving the corresponding Karush-Kuhn-Tucker (KKT) system, which is often done using generic sparsity exploiting algorithms or Riccati recursions. (dissertations.se)
Some existing parallel algorithms for computing the solution to this type of problems obtain the solution iteratively, and these methods may require many iterations to converge. (dissertations.se)
These algorithms can be used in both IP and AS methods, and they exploit the sparse structure of the MPC problem such that no dense system of equations needs to be solved serially. (dissertations.se)
Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. (princeton.edu)
Short discussions of the history of numerical methods are interspersed throughout the chapters. (princeton.edu)
Distinguishing features are the inclusion of many recent applications of numerical methods and the extensive discussion of methods based on Chebyshev interpolation. (princeton.edu)
Numerical Methods ] is a very pleasant book, where the concepts involved are clearly explained. (princeton.edu)
Fulfilling the need for a modern textbook on numerical methods, this volume has a wealth of examples that will keep students interested in the material. (princeton.edu)
This algorithm is not the most efficient one among all existing permutation generation methods. (wikipedia.org)
Specifically, what numerical methods are faster than traditional Monte Carlo simulations and can be used efficiently on very large graphs? (rand.org)
International Journal for Numerical Methods in Biomedical Engineering. (oeaw.ac.at)
For many problems sharp complexity bounds have been proved with the help of generic types of algorithms, as multilevel algorithms and multivariate decomposition methods, but mainly in the case where the spaces of input functions are weighted reproducing kernel Hilbert spaces (RKHSs) based on product weights or RKHSs of increasing smoothness. (dagstuhl.de)
Computational techniques, including predictive algorithms and mathematical models that describe a selected process (e.g., skin permeation) by means of analytical or numerical methods. (cdc.gov)
A numerical technique to estimate the local mine stiffness (LMS) was introduced and verified by both numerical and analytical methods. (cdc.gov)

The development of numerical algorithms for handling high-dimensional data sets. (essex.ac.uk)

The proposed method yields an iterative algorithm to obtain the numerical and analytical solutions of DBIEs including linear and nonlinear terms. (scialert.net)

In the obtained algorithm, some orthogonal polynomials are effectively implemented to achieve better approximation for the nonhomogeneous and nonlinear terms that leads to facilitate the computational work. (scialert.net)
Here we focus on fundamental construction principles, approximation properties and stability of the respective numerical method. (degruyter.com)
Systematic investigations on the numerical approximation of such SDEs have started in the last decade and are still in their infancy. (dagstuhl.de)

Numerical simulations of particulate suspensions via a discretized Boltzmann equation. (crossref.org)
Numerical simulations for engineering applications solve partial differential equations (PDE) to model various physical processes. (paperswithcode.com)
Christ, H-J (2015) Numerical simulations of crack propagation in screws with phase-field modeling. (oeaw.ac.at)

Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. (kth.se)
The book gives instructors the flexibility to emphasize different aspects-design, analysis, or computer implementation-of numerical algorithms, depending on the background and interests of students. (princeton.edu)
This is a charming book, well worth consideration for the next numerical analysis course. (princeton.edu)
This is an excellent introduction to the exciting world of numerical analysis. (princeton.edu)
Filled with polished details and a plethora of examples and illustrations, this ambitious and substantial text touches every standard topic of numerical analysis. (princeton.edu)
An overall goal of the course is to provide the students with an algorithm-oriented complement to the more basic and special courses in numerical analysis that are focused on method analysis. (lu.se)
Based on the student's previously acquired knowledge in numerical analysis, the course also intends to practice such skills that have special importance in professional life. (lu.se)
Examples of complex numerical algorithms from different fields within numerical analysis. (lu.se)
A theoretical model is proposed for the estimation of the complexity of the given parallel algorithm and a scalability analysis is done on the basis of this model. (degruyter.com)
A Modified Time Advancement Algorithm for Optimizing Channel Flow Analysis in Direct Numerical Simulation Method', Journal of Applied Fluid Mechanics , 7(2), pp. 287-297. (jafmonline.net)
SIAM Journal on Numerical Analysis, Bd. (oeaw.ac.at)

We will use stochastic and numerical algorithm to get the best price for buying and selling. (edu.iq)

We discuss some approaches that we can take to develop numerical algorithms for high-performance computational science, with a view to exploiting the next generation of supercomputers. (hal.science)

Experimental results show the capacity to obtain the numerical solution for both cases on all interpolation schemes tested by the EA approach. (emerald.com)

2022). An alternative numerical method for estimating large-scale time-varying parameter seemingly unrelated regressions models . (essex.ac.uk)

However, the two resulting nonlinear equations can be reformulated under certain minor assummptions to lead to explicit procedures or algorithms to execute them. (kth.se)
By second-order central difference scheme, the second-order spatial partial derivative of the Schrödinger equations are reduced to a system of first-order ordinary differential equations, that are solved by an efficient algorithm. (inderscience.com)
The comparison of the numerical solution and the exact solution for some test cases shows that the given algorithm is easy and practical for extracting good approximate solutions of Schrödinger equations. (inderscience.com)
In this paper, a reliable algorithm for solving Schrödinger equations is established. (inderscience.com)
Some other parallel algorithms compute the solution directly (non-iteratively) by solving parts of the system of equations in parallel, followed by a serial solution of a dense system of equations without the sparse structure of the MPC problem. (dissertations.se)

The benefits and limitations of the algorithm are explored using dynamic granular system phantoms modelled via discrete elements and projected by an analytical ray model independent from the numerical ray model used in the reconstruction scheme. (lu.se)

A total of 11 optimization algorithms were applied to maximize the thermal efficiency of the steam methane reforming process. (aiche.org)
The use of optimization algorithms to adjust the numerical models with experimental values has been applied in other fields, but the efforts done in metal casting sector are much more limited. (tecnalia.com)

A data decomposition method is used to develop a parallel algorithm, where the domain is distributed among the processors by using a structured reference grid. (degruyter.com)
The results of the computational experiments are presented, and the accuracy and efficiency of the parallel algorithm is tested on real industrial geometries. (degruyter.com)

The algorithm exploits a sophisticated memory data layout and loop tiling technique, which allows one to efficiently vectorize computations with Intel MIC. (num-meth.ru)

In this paper, we consider parallel numerical algorithms for solving mathematical models describing the process of filtration, filtering solid particles out of liquid oil. (degruyter.com)

The main topics in this thesis include: the extension of coherent diffractive imaging to multi-wavelength diffraction data, effects related to optically thick references in Fourier transform holography and an alternative numerical approach to phase retrieval which is based on non-rigid image registration. (lu.se)

The Tompkins-Paige algorithm is a computer algorithm for generating all permutations of a finite set of objects. (wikipedia.org)
To this end, we consider meshbased and meshfree generalizations of the finite element method and the use of smooth, discontinuous, singular and numerical enrichment functions. (degruyter.com)

The algorithm uses only orthogonal similarity transformations, and is believed to be the most efficient algorithm available for computing all the eigenvalues or the complete eigensystem. (osti.gov)

The most widely used numerical algorithm to solve the NEPv in the field of quantum chemistry is the self-consistent field (SCF) iteration, combined with its variants. (kth.se)
One of the algorithms turns out to be the SCF iteration. (kth.se)
We propose two such algorithms that exploit the structure in the MEP, the inverse iteration that solves the MEP by linearizing it to a generalized eigenvalue problem and the symmetric residual inverse iteration which is computationally less expensive than its non-symmetric version. (kth.se)
Although, this algorithm provides an approximate solution for a wide class of nonlinear problems in terms of convergent series with easily computable components, some times it is difficult to calculate the complicated integrals in each iteration. (scialert.net)
It is shown that the artificial velocity field produced by the algorithm sub-iteration, which is used to propagate the attenuation field, can to some extent approximate the true kinematics of the system. (lu.se)

The CART algorithm has been extensively applied in predictive studies, however, researchers argue that CART produces variable selection bias. (bvsalud.org)
Considering this problem, this article compares the CART algorithm to an unbiased algorithm (CTREE), in relation to their predictive power. (bvsalud.org)

In this research a direct numerical simulation (DNS) of turbulent flow is performed in a geometrically standard case like plane channel flow. (jafmonline.net)

We test the capability and efficiency of an inverse scattering algorithm for imaging and inverting seismic data. (montclair.edu)
We also compare this algorithm with the inverse scattering Leading Order Imaging Algorithm presented in [1] and show that the present algorithm locates the interfaces more accurately in all the test cases. (montclair.edu)

our brand new JIT compiler not only transforms numerical algorithms into highly efficient codes, it also automatically adopts to and parallelizes your workload on any hardware found at runtime. (ilnumerics.net)
This partitioning results in a more efficient algorithm than those using explicit time integrators, where the time step sizes are constrained by the stiff collisional time scales. (osti.gov)

The algorithm can also be used to compute the Perron root and the corresponding Perron vector of any nonnegative irreducible matrix. (hindawi.com)
In this thesis, two parallel algorithms that compute the solution directly (non-iteratively) in parallel are presented. (dissertations.se)
Numerical method with rational nodes and weights to compute exact value of definite integral? (mathoverflow.net)

In this thesis, we focus on numerical algorithms for a specific type of such a problem which is called a nonlinear eigenproblem with eigenvector nonlinearity (NEPv), where as the name suggests, the nonlinear terms depend on the eigenvectors. (kth.se)
Some illustrative linear and nonlinear experiments are given to show the capability and validity of the proposed algorithm. (scialert.net)

A variable time-stepping algorithm is proposed which may reduce requirement of computational cost in simulation of such wall-bounded flow. (jafmonline.net)
This work compares the performance of four algorithms (compass search, NEWUOA, genetic algorithm (GA) and particle swarm optimization (PSO)) in the adjustment of the metal casting simulation models. (tecnalia.com)

The other algorithm was previously unknown to the best of our knowledge and we prove that it displays quadratic convergence, along with other attractive properties. (kth.se)
This paper aims to present an evolutionary algorithm (EA) to accelerate the convergence for the radiative transfer equation (RTE) numerical solution using high-order and high-resolution schemes by the relaxation coefficients optimization. (emerald.com)
As an interesting byproduct of the numerical analyses we introduce an algorithm for bounded isotonic regression for which we also prove convergence. (lu.se)

2021). Using Random and Numerical algorithms for Trading Stocks for Sectors (Hotels, Industry and Telecommunications) in the Iraqi Stock Exchange. (edu.iq)

Nevertheless, it was only in the 1980s when researchers became interested in Regression Tree, due mainly from the technical improvements achieved by the creation of the CART algorithm (Breiman, Friedman, Olshen, & Stone, 1984). (bvsalud.org)

Experiments performed on real data sets show a good scalability of the algorithm. (num-meth.ru)

High tech companies, financial institutions, medical instruments, rocket science … The most innovative projects do all have one thing in common: they are driven by numerical data and complex mathematical algorithms working on these data. (ilnumerics.net)
The only working way to utilize heterogeneous computing resources is to manually distribute manually selected parts of an algorithm and its data to manually selected devices. (ilnumerics.net)
This still requires expert knowledge and intimate insights into the data flow of your algorithms. (ilnumerics.net)
The MPI library is used to implement the data communication part of the algorithm. (degruyter.com)
CAMPAIGN: An Open-Source Library of GPU-Accelerated Data Clustering Algorithms," Bioinformatics 27 (16), 2321-2322 (2011). (num-meth.ru)
This result suggests that for large data sets, called big data, the CART algorithm might give better results than the CTREE algorithm. (bvsalud.org)

The main characteristic of the proposed method is to avoid calculating the Adomian polynomials and yields a simple algorithm. (scialert.net)
1993). Metaheuristic algorithms such as the Genetic algorithm use a search method inspired by nature to evaluate the search space based on probability. (aiche.org)
We will demonstrate the performance and the favor of the method through numerical experiments. (degruyter.com)
The study resulted in several conclusions: The random algorithm used in our study is a method that does not need to determine the distribution of the price variable. (edu.iq)
The idea of the predictor-corrector method is employed in the algorithm. (susu.ru)
The Classification and Regression Trees (CART) algorithm is a traditional, popular, and well-developed approach of the Regression Tree Method (Loh, 2014). (bvsalud.org)
When reviewing the history of the Regression Tree Method and its algorithms, Loh (2014) argues that some well-studied and largely applied Regression Tree algorithms, e.g. (bvsalud.org)

The results of numerical experiments are presented. (susu.ru)

Statistical antecedents of CART algorithm are of historical importance since they trace back to 1960s, when the Automatic Interaction Detection (AID) algorithm was created (Morgan & Sonquist, 1963). (bvsalud.org)

For these, often high- or even infinite-dimensional, problems it is desirable to have theoretical bounds on the complexity as well as explicit constructions of (nearly) optimal algorithms. (dagstuhl.de)
In this study, we propose an implicit-explicit algorithm for such cases, where the collisional term is integrated implicitly in time, while the advective term is integrated explicitly in time, thus allowing time step sizes that are comparable to the advective time scales. (osti.gov)
Soil temperature - numerical calculation that used includes phase change, with explicit active layer depths. (lu.se)

A mathematical framework and accompanying numerical algorithm exploiting the continuity equation for 4D reconstruction of spatiotemporal attenuation fields from multi-angle full-field transmission measurements is presented. (lu.se)
this has the effect that the reconstruction quality is independent of any optics or references, but relies heavily on the performance of iterative numerical algorithms. (lu.se)

This leads to algorithms that solve the NEPv by solving the resulting MEP instead. (kth.se)
ILNumerics Accelerator is here to solve this problem for the domain of numerical array algorithms. (ilnumerics.net)
Traditionally, this has not been possible to exploit when Riccati recursions are used to solve the UFTOC problems, but in this thesis, an algorithm for performing low-rank modifications of the Riccati recursion is presented.In recent years, parallel hardware has become more commonly available, and the use of parallel algorithms for solving the CFTOC problem and the underlying UFTOC problem has increased. (dissertations.se)

By using these algorithms, it is possible to obtain logarithmic complexity growth in the prediction horizon length. (dissertations.se)
algorithms and complexity: Many applications rely on models with countably many variables. (dagstuhl.de)

The optimal LFP solution procedure is illustrated with numerical examples and also by a computer program. (scirp.org)
If EP or EN has an optimal solution and other is inconsistence, then LFP also has an optimal solution. (scirp.org)

Furthermore, a numerical example is given to demonstrate the validity of the algorithm. (hindawi.com)

The relaxation coefficients optimized every two numerical solution iterations achieve a significant reduction of the CPU time compared to the deferred correction procedure with fixed relaxation coefficients. (emerald.com)
The proposed EA approach for the RTE numerical solution effectively reduces the CPU time compared to the DC procedure with fixed relaxation coefficients. (emerald.com)

The deterministic global search algorithm performs optimization using a predefined search pattern, and there is a representative Divide a hyper-RECTangle (DIRECT) (Jones et al. (aiche.org)

write high-level computational programs and quality-assured numerical software, · implement and test complex numerical algorithms using well-established software libraries, · to carry out a programming project in a group including identification of, and division in, partial problems and personal responsibility for the solution of a partial problem, · describe a computational project through an oral presentation of his/her own code. (lu.se)

When applying an optimization algorithm, the selection of an appropriate algorithm directly affects the optimization resultIn (Rios and Sahinidis, 2013), performance comparison of various derivative free algorithms for various problem characteristics was performed. (aiche.org)
A mean ®eld feedback arti®cial neural network (ANN) algorithm is developed and explored for the set covering problem. (lu.se)
The complex nature of the phase retrieval problem raises questions regarding the existence and uniqueness of a solution which makes understanding the numerical and mathematical aspects of the problem of central importance. (lu.se)

The EA approach reduces CPU time for the RTE numerical solution using SUPERBEE, SWEBY and MUSCL schemes until 97% and 135% in scattering and absorbing media cases, respectively. (emerald.com)
We expose some existence and uniqueness theorems which are the base of an numerical algorithm of recovering the right-hand side (the source function) and a solution. (susu.ru)

The results show that if final decision rests on economics, the proposed variable time-stepping algorithm will be proper choice which satisfies the accuracy and reduces the computational cost. (jafmonline.net)

The numerical algorithm largely follows Wania et al. (lu.se)

Analytical, Diagnostic and Therapeutic Techniques and Equipment7

Phenomena and Processes2

Disciplines and Occupations1

Information Science7

Health Care4

Linear algebra2

Computation5

Mathematics4

Electronic Transactions on Numerical Analysis1

Methods14

Development of numerical algorithms1

Iterative algorithm1

Approximation3

Simulations3

Analysis11

Stochastic1

Computational science1

Obtain the numerical1

20221

Equations5

Analytical1

Optimization algorithms2

Parallel algorithm2

Computations1

Mathematical models1

Alternative numerical1

Finite2

Orthogonal1

Iteration5

Predictive2

Direct Numerical1

Inverse2

Efficient2

Compute3

Nonlinear2

Simulation2

Convergence3

20211

19841

Scalability1

Data6

Method7

Experiments1

Statistical1

Explicit3

Reconstruction2

Solve3

Complexity2

Optimal2

Validity1

Coefficients2

Performs1

Partial1

Problem3

Solution2

Results1

Largely1