All Research Papers Published In Numerical Algorithms

Research Article
10.1007/s11075-024-01990-x

An effective computational approach based on new multi-step collocation method for solving integral-algebraic equations

Nov 29, 2024
Numerical Algorithms
Safa Hussein Kamil + 2 more +2

Research Article
4
10.1007/s11075-024-01952-3

Smooth connectivity in real algebraic varieties

Oct 05, 2024
Numerical Algorithms
Joseph Cummings + 3 more +3

Abstract A standard question in real algebraic geometry is to compute the number of connected components of a real algebraic variety in affine space. This manuscript provides algorithms for computing the number of connected components, the Euler characteristic, and deciding the connectivity between two points for a smooth manifold arising as the complement of a real hypersurface of a real algebraic variety. When considering the complement of the set of singular points of a real algebraic variety, this yields an approach for determining smooth connectivity in a real algebraic variety. The method is based upon gradient ascent/descent paths on the real algebraic variety inspired by a method proposed by Hong, Rohal, Safey El Din, and Schost for complements of real hypersurfaces. Several examples are included to demonstrate the approach.

Research Article
2
10.1007/s11075-024-01931-8

A numerical algorithm for the computation of the noncentral beta distribution function

Sep 10, 2024
Numerical Algorithms
Vera Egorova + 3 more +3

Abstract The noncentral beta distribution function is a generalization of the central beta distribution (the regularized incomplete beta function) that includes a noncentrality parameter. This paper describes an algorithm and provides a Matlab implementation for calculating the noncentral beta distribution function. Through a series of numerical tests, we demonstrate that the algorithm is accurate and efficient across a wide range of parameters.

Research Article
12
10.1007/s11075-024-01913-w

An efficient hybrid numerical approach for solving two-dimensional fractional cable model involving time-fractional operator of distributed order with error analysis

Aug 17, 2024
Numerical Algorithms
Saeed Kosari + 3 more +3

Research Article
8
10.1007/s11075-024-01909-6

A novel higher-order efficient computational method for pricing European and Asian options

Aug 06, 2024
Numerical Algorithms
Saurabh Bansal + 1 more +1

Research Article
10.1007/s11075-024-01899-5

Optimization algorithms for stabilization of multi-input vibration system with time delay using eigenvalues assignment technique

Aug 02, 2024
Numerical Algorithms
Peizhao Yu + 2 more +2

Research Article
1
10.1007/s11075-024-01896-8

Extended explicit Pseudo two-step Runge-Kutta-Nyström methods for general second-order oscillatory systems

Jul 29, 2024
Numerical Algorithms
Yonglei Fang + 2 more +2

Research Article
10.1007/s11075-024-01888-8

A treecode algorithm for the Poisson equation in a general domain with unstructured grids

Jul 18, 2024
Numerical Algorithms
Zixuan Cui + 3 more +3

Research Article
2
10.1007/s11075-024-01879-9

Construction of high order numerical methods for solving fourth order nonlinear boundary value problems

Jul 08, 2024
Numerical Algorithms
Quang A Dang + 2 more +2

Research Article
4
10.1007/s11075-024-01872-2

Inertial randomized Kaczmarz algorithms for solving coherent linear systems

Jul 05, 2024
Numerical Algorithms
Songnian He + 2 more +2