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A functionally-fitted block hybrid Falkner method for Kepler equations and related problems
For the approximate solution of the Kepler equations and some related problems, a fourth-order convergent functionally-fitted block hybrid Falkner...
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A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation
Implicit block approaches are used by a number of numerical analyzers to model mild, medium, and hard differential systems. Their excellent stability...
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A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations
In this article, high temporal and spatial resolution schemes are combined to solve the Camassa-Holm and Degasperis-Procesi equations. The...
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A Computational Block Method with Five Hybrid-Points for Differential Equations Containing a Piece-wise Constant Delay
This paper presents an efficient numerical approach for first-order delay differential equations containing a piece-wise constant delay. The strategy...
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One Step Adapted Hybrid Second Derivative Block Method for Initial Value Problems with Oscillating Solutions
The purpose of this study is to develop a one-step block hybrid formula for solving a system of first-order differential equations with oscillating...
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An Adaptive Step-Size Optimized Seventh-Order Hybrid Block Method for Integrating Differential Systems Efficiently
This article proposes a novel adaptive step-size numerical method for solving initial value ordinary differential systems. The development of the...
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Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method
A novel combination of two schemes has been implemented to determine the approximate solution of Kuramoto–Sivashinsky equation. Differential...
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Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations
In this paper, we develop an optimized hybrid block method which is combined with a modified cubic B-spline method, for solving non-linear partial...
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Heterogeneous Implementation of Preconditioners Based on Gauss–Seidel Method for Sparse Block Matrices
In this paper we present a parallel preconditioner algorithm for the Krylov-type iterative method based on the multicolor Gauss–Seidel method and its...
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The Regularized Block GMERR Method and Its Simpler Version for Solving Large-Scale Linear Discrete Ill-Posed Problems
Based on the block Arnoldi process and minimizing the Frobenius norm of the error, the block generalized minimal error (GMERR) method and its simpler...
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Block Mirror Stochastic Gradient Method For Stochastic Optimization
In this paper, a block mirror stochastic gradient method is developed to solve stochastic optimization problems involving convex and nonconvex cases,...
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Block-pulse integrodifference equations
We present a hybrid method for calculating the equilibrium population-distributions of integrodifference equations (IDEs) with strictly increasing...
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Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems
In this article, we have considered an adaptive step-size formulation of an optimized block method for directly solving general second-order initial...
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On the Parallelization of the Particle Method for Hybrid Supercomputers
AbstractAn implementation of the particle method on a hybrid cluster with graphics processing units (GPU) for modeling bulk generation, propagation,...
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A hybrid BB-type method for solving large scale unconstrained optimization
In this paper, based on the ideas of Barzilai and Borwein (BB) method and IMPBOT algorithm proposed by Brown and Biggs (J Optim Theory Appl...
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A Petrov–Galerkin multiscale hybrid-mixed method for the Darcy equation on polytopes
In this work, we propose a new method called Petrov–Galerkin multiscale hybrid-mixed (PGMHM for short) as a variant of the multiscale hybrid-mixed...
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A hybrid projection method for solving the multiple-sets split feasibility problem
This paper studies the multiple-sets split feasibility problem in Hilbert spaces. To solve this problem, we propose a new algorithm and establish a...
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Numerical solution of Bratu’s and related problems using a third derivative hybrid block method
A new one-step hybrid block method with third derivatives and optimized features aimed at solving the classical one-dimensional Bratu’s and Reactor...
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A Hybrid SBP-SAT/Fourier Pseudo-spectral Method for the Transient Wigner Equation Involving Inflow Boundary Conditions
In this paper, a hybrid SBP-SAT/pseudo-spectral method is proposed for solving the time-dependent Wigner equation. High-order summation-by-parts...
