Numerical Algorithms

Article	Citations
Krylov iterative methods for linear least squares problems with linear equality constraints	49
Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition	46
Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method	33
Convergence properties of a new projection algorithm for pseudomonotone vector fields on hadamard manifolds	31
A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem	30
Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm	30
Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization	29
New nonsingular H-matrix subclass with parameter-free infinity norm bounds and linear complementarity error estimates	29
A three-phase method for systematically and simultaneously computing multiple optimal solutions	26
Correction to: Fitted schemes for Caputo-Hadamard fractional differential equations	26
A reduced SQP-type algorithm for nonlinear semidefinite programming with LMI constraints	25
The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids	25
On the dynamics of Steffensen’s family of root-finding methods for entire function	24
TRIPs-Py: Techniques for regularization of inverse problems in python	22
Numerical analysis of a linearly backward Euler method with truncated Wiener process for a stochastic SIS model	21
Reducing swamp behavior for the canonical polyadic decomposition problem by rank-1 freezing	21
A nondeterministic branch-and-bound algorithm for maximizing the sum of a generalized Rayleigh quotient and a quadratic form on the unit sphere	21
Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime	21
On the perturbation analysis of the sampling semi-randomized Kaczmarz method	20
A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations	20
Simultaneous determination of multiple zeros via Schröder–Ehrlich-type corrections	20
The backward rounding error analysis of the quaternion Givens QR decomposition	20
The application of Goeken–Johnson’s Runge–Kutta methods in unconstrained convex optimization	19
A mesh-dependent stopping criterion for FE-ADMM in elliptic optimal control with sparse regularization	19
On the construction of iterative methods in (p,q)-calculus	19

Implementation of divided differences to shape preservation	19
Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems	18
Positive quadrature formulas on an arc of the unit circle	18
Extrapolation quadrature from equispaced samples of functions with jumps	17
Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions	17
Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations	17
Interlacing and bounds of zeros of quasi-orthogonal little q-Jacobi polynomials	17
A novel banded preconditioner for coupled tempered fractional diffusion equation generated from the regime-switching CGMY model	17
Multivariate polynomial interpolation based on Radon projections	17
Correction to: “Patch area and uniform sampling on the surface of any ellipsoid”	16
High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations	16
Convergence analysis of Tikhonov regularized dynamical systems and inertial algorithms for convex optimization problems	16
A spatial branch and bound algorithm for solving the sum of linear ratios optimization problem	16
Regularized Barzilai-Borwein Method	16
Interpolated Galerkin finite elements on triangular meshes for the biharmonic equation	16
Orthogonal Cauchy-like matrices	16
Average-based iterative methods for solving nonlinear integral equations and systems of ordinary equations	16
On the maximal order of convergence of Green’s function method for solving two-point boundary value problems with deviating argument	15
Banded preconditioning with shift compensation for solving discrete Riesz space-fractional diffusion equations	15
Solving non-differentiable Hammerstein integral equations via first-order divided differences	14
High modes smoothing of time schemes for nonlinear parabolic PDEs	14
Decompose-then-optimize: a new approach to design domain decomposition methods for optimal control problems	14
Improvements to steepest descent method for multi-objective optimization	14
On a class of infinite M-matrices with an extended quasi-Toeplitz structure	14
An adaptive branch-and-bound algorithm for minimax linear fractional programming	14
A class of new three-term descent conjugate gradient algorithms for large-scale unconstrained optimization and applications to image restoration problems	14
Shift-splitting fixed point iteration method for solving generalized absolute value equations	13
Maximal residual coordinate descent method with k-means clustering for solving large linear least-squares problems	13
Szegő quadrature formulas associated with the weight function $$1+\cos (m\theta )$$ with application to the approximation of certain Christoffel transformations on the interval	13
A mixed precision LOBPCG algorithm	13
Simuorb: a new method for generating and describing the intersection points of clique-arrangements	12
Preconditioned generalized minimal residual method for quaternion linear systems with structured coefficient matrices and its applications	12
Randomized flexible GMRES with deflated restarting	12
Fourier transforms of orthogonal polynomials on the cone	12
A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models	12
On the accurate computation of the Newton form of the Lagrange interpolant	12
Complex moment-based methods for differential eigenvalue problems	11
A family of gradient methods using Householder transformation with application to hypergraph partitioning	11
Optimal error estimate of the penalty method for the 2D/3D time-dependent MHD equations	11
Solving semi-discrete optimal transport problems: star shapedeness and Newton’s method	11
A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations	11
Applications of quasideterminants to non-commutative multistep $$\varepsilon $$-algorithm	11
Preconditioned inexact fixed point iteration method for solving tensor absolute value equation	11
Global convergence of a spectral conjugate gradient method for unconstrained optimization	11
A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables	11
On the extension of a class of Hermite multivariate interpolation problems	11
On unconditional stability of a penalty-based ensemble method	10
A difference-of-convex approach for log-determinant semidefinite programming with chordal sparsity	10
Greedy reconstruction algorithms for function approximation	10
Adaptive cross approximation for Tikhonov regularization in general form	10

Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods	10
Inertial subgradient splitting projection methods for solving equilibrium problems and applications	10
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations	10
Superconvergence and postprocessing of discontinuous Galerkin solutions for weakly singular Volterra integral equations	10
Optimized Schwarz domain decomposition algorithms for the closest point method on closed manifolds	10
Iteration methods for the classical split quaternion tensor equation $$\mathcal {E}*_N\mathcal {X}*_N\mathcal {F}=\mathcal {D}$$	10
Communication in multiplex transportation networks	10
Averaged cubature schemes on the real positive semiaxis	10
First order strong approximation of Ait–Sahalia-type interest rate model with Poisson jumps	10
Maximum bound principle for matrix-valued Allen-Cahn equation and integrating factor Runge-Kutta method	10
A three-step modulus-based iterative method for solving nonlinear complementarity problems	9
A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation	9
Interpolation preservation of AMF-W methods for linear diffusion problems	9
Proximal variable smoothing method for three-composite nonconvex nonsmooth minimization with a linear operator	9
Fast computation of best approximation polynomials for the reciprocal function	9
Optimal Control problems of NS-$$\alpha $$ and NS-$$\omega $$ turbulence models: analysis and numerical tests	9
Logarithmic function minimization to compressed sensing with application to magnetic resonance imaging	9
Fractal dynamics of Mandelbrot- and Julia-like sets via $$K^*$$ iteration extended with s-convexity	9
A two-grid combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem	9
General christoffel perturbations for multiple orthogonal polynomials of the mixed type on the step-line	9
Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations	9
Greedy adaptive local recovery of functions in Sobolev spaces	9
Comments on “Fractal functions associated with Reich contractions: an approximation of chaotic attractors”	9
Vem++, a C++ library to handle and play with the virtual element method	9
Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system	9
Integrable semi-discretizations and self-adaptive moving mesh method for a generalized sine-Gordon equation	9
Polynomial estimates for the method of cyclic projections in Hilbert spaces	9
Douglas-Rachford iterations for the HSS splitting	9
Fitted schemes for Caputo-Hadamard fractional differential equations	9
Analysis of the basins of attraction generated by a pseudo Newton-Raphson method iterating over complex order derivatives	9
Analysis of Julia sets using viscosity approximation-based iteration processes	8
A robust variant of cubic smoothing spline approximation	8
Correction to: High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach	8
Comprehensive deep contrastive manifold regularized non-negative matrix factorization for multi-view clustering	8
Generalized Householder methods of index p for nonlinear systems: derivation, convergence analysis, and applications	8
Deep learning, transformers and graph neural networks: a linear algebra perspective	8
EDECT algorithm: The hybridization of the filled function and DIRECT methods for global optimization	8
Extended explicit Pseudo two-step Runge-Kutta-Nyström methods for general second-order oscillatory systems	8
Smaller stencil preconditioners for linear systems in RBF-FD discretizations	8
The truncated Euler-Maruyama method for highly nonlinear stochastic differential equations with multiple time delays	8
A modified spectral three-term hybrid derivative-free projection method using convex combination acceleration to solve nonlinear complementarity problems	8
Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative	8
Exact subdomain and embedded interface polynomial integration in finite elements with planar cuts	8
Constructing Sobolev orthonormal rational functions via an updating procedure	8
Non-linear WENO B-spline based approximation method	8
Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds	8
Accurate inverses and determinants of doubly strictly diagonally dominant Z-matrices	8
Inertial Bregman proximal gradient under partial smoothness	8
Accuracy and stability of the column pivoting quaternion Householder QR factorization	8
A non-linear conjugate gradient in dual space for $$L_p$$-norm regularized non-linear least squares with application in data assimilation	8
Exploring rational approximations of fractional power operators for preconditioning	8
A new modified Mann-type method for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spaces	8
Analysis of a higher-order scheme for multi-term time-fractional integro-partial differential equations with multi-term weakly singular kernels	8
A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution	8
Legendre polynomial based approximation of the Hessian for quasi-Newton optimization	8
An incomplete tridiagonalization-based determinant evaluation for a generalized periodic tridiagonal matrix	7
Fast superconvergent solvers for weakly singular Hammerstein equations	7
Stochastic incremental mirror descent algorithms with Nesterov smoothing	7
Non-blind constraint image deblurring problem with mean curvature functional	7
Piecewise numerical approach for solving piecewise fractional optimal control and variational problems	7
A fault detection method based on partition of unity and kernel approximation	7
Unconditionally positivity-preserving approximations of the Aït-Sahalia type model: Explicit Milstein-type schemes	7
The method of randomized Bregman projections for stochastic feasibility problems	7
Runge–Kutta methods determined from extended phase space methods for Hamiltonian systems	7
An MP-DWR method for h-adaptive finite element methods	7
Alternated inertial algorithms for split feasibility problems	7
The behavior of the Gauss-Radau upper bound of the error norm in CG	7
H-representation method for the least squares symmetric solutions of the reduced biquaternion matrix equation and its application in color image restoration	7
Nonmonotone Quasi–Newton-based conjugate gradient methods with application to signal processing	7
Interpolatory quadrature formulas on an arc of the unit circle	7
Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations	7
Stochastic parareal algorithm for stochastic differential equations	7
An orthogonal randomized Bregman projection method for linearly constrained optimization problems	7
Sliding modes of high codimension in piecewise-smooth dynamical systems	7
A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations	7
A variational regularization method for solving the non-characteristic Cauchy problem in multiple dimensions	7
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation	7
A new family of fourth-order energy-preserving integrators	7
Source-to-sink communicability: a new centrality measure for directed acyclic networks	7
A robust Legendre collocation scheme and convergence analysis for Lane-Emden multi-pantograph delay differential equations arising in stellar physics including Chandrasekhar’s white dwarf problem	7

New proximal bundle algorithm based on the gradient sampling method for nonsmooth nonconvex optimization with exact and inexact information	6
Interpolated Galerkin finite elements on rectangular and cuboid meshes for the Poisson equation	6
Boundary corrections on multi-dimensional PDEs	6
Tensor Interpolation	6
A two-step inertial Hager-Zhang derivative-free projection method for solving nonlinear equations with applications	6
Optimal polynomial smoothers for parallel AMG	6
Convergence analysis of an inexact inertial proximal point algorithm for multiobjective quasiconvex optimization problems	6
A predictor-corrector finite element method for parabolic problems on polygonal domains	6
Results on split common fixed point problems: applications to signal and image restoration	6
Explicit numerical methods for solving singular initial value problems for systems of second-order nonlinear ODEs	6
Optimal size of the block in block GMRES on GPUs: computational model and experiments	6
An improved preconditioned inexact Uzawa method for elliptic optimal control problems	6
A uniformly high-order meshless method for nonlinear distributed-order time-space fractional reaction–diffusion systems with nonlocal interactions	6
A projection DFP quasi-Newton algorithm and its applications in Muskingum model and machine learning	6
Reconstruction of missing boundary data for nonlinear parabolic systems using a control-type approach	6
A numerical algorithm for asymptotically approximating the solution to periodic tridiagonal Toeplitz linear systems	6
A hybrid gradient method for vector optimization problems	6
Convergence and stability analysis of conformable methods on Riemann sphere	6
Limited memory gradient methods for unconstrained optimization	6
A two-dimensional randomized extended Gauss-Seidel algorithm for solving least squares problems	6
Revisiting the (block) Jacobi subspace rotation method for the symmetric eigenvalue problem	6
A Numerical Approach for the System of Nonlinear Variable-order Fractional Volterra Integral Equations	6
Fast and accurate solvers for weakly singular integral equations	6
The generalized modular string averaging procedure and its applications to iterative methods for solving various nonlinear operator theory problems	6
Error bounds for the linear complementarity problems of $$N_1$$-matrices and $$BN_1$$-matrices	6
TT-LSQR for tensor least squares problems and application to data mining	6
Inexact quasi-Newton methods under a relaxed metric regularity assumption	6
Non-negative Einstein tensor factorization for unmixing hyperspectral images	6
On computing the zeros of a class of Sobolev orthogonal polynomials	6
Superconvergence analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order volterra integro-differential equations	6
Another Hager-Zhang-type method via singular-value study for constrained monotone equations with application	6
Stieltjes interlacing of zeros of little q-Jacobi and q-Laguerre polynomials from different sequences	6
Adaptive time step selection for spectral deferred correction	6
An efficient numerical algorithm based on Haar wavelets for multi-dimensional nonlinear elliptic PDEs	6
A nonsmooth Newton method for solving the generalized complementarity problem	6
A fourth-order collocation scheme for generalized Black-Scholes model in financial decision-making	6
Cut-edge centralities in an undirected graph	5
An inexact proximal majorization-minimization algorithm for remote sensing image stripe noise removal	5
Convergence properties of Jacobi gradient-based iteration algorithm for the complex conjugate and transpose Sylvester matrix equations	5
Modified projection method and strong convergence theorem for solving variational inequality problems with non-Lipschitz operators	5
A nonlinear conjugate gradient method for solving quaternion matrix equation and its application in color image encryption and decryption	5
Strong convergence and extinction of positivity preserving explicit scheme for the stochastic SIS epidemic model	5
A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option	5
Fractal interpolation on the real projective plane	5
A novel numerical scheme for time-fractional Black-Scholes PDE governing European options in mathematical finance	5
Refined and refined harmonic Jacobi–Davidson methods for computing several GSVD components of a large regular matrix pair	5
Max-convolution through numerics and tropical geometry	5
A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography	5
A projection algorithm for pseudomonotone vector fields with convex constraints on Hadamard manifolds	5
Some combined techniques of spectral conjugate gradient methods with applications to robotic and image restoration models	5
Edge importance in complex networks	5
Role extraction by matrix equations and generalized random walks	5
On the convergence of two-step modified Newton method for nonsymmetric algebraic Riccati equations from transport theory	5
Reducing the truncation error in Taylor model multiplication	5
A conformable fractional iterative fixed-point method for solving one-dimensional nonlinear equations	5
A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo-monotone equations with applications	5
The modulus-based smoothing Levenberg–Marquardt method for solving horizontal linear complementarity problems	5
Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations	5
Optimal adaptive numerical methods for ODEs via stable robust global error control	5
Hermite interpolation theorems for band-limited functions of the linear canonical transforms with equidistant samples	5
Two-level methods for solving higher order finite element discretizations of nonsymmetric and indefinite elliptic problem	5
Global convergence of a curvilinear search for non-convex optimization	5
Divergence of the Euler-Maruyama method for neutral stochastic differential equations with unbounded delay and Markovian switching	5
A hybrid-inertial accelerated spectral CG projection method with restart mechanism and its application to compressed sensing	5
Four double inertial algorithms for variational inequalities with fixed point constraints: theory and signal processing applications	5
On Hölder global optimization method using piecewise affine bounding functions	5
Truncated multidimensional moment problem and Schur algorithm	5
A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order	5
Quantifying mixing in arbitrary fluid domains: a Padé approximation approach	5
An effective computational approach based on new multi-step collocation method for solving integral-algebraic equations	5
On the non-global linear stability and spurious fixed points of MPRK schemes with negative RK parameters	5
Approximation of 2D function with a jump discontinuity - the high noise case	5
An adaptive nonmonotone line search technique for nonsmooth optimization	5
A class of modified accelerated proximal gradient methods for nonsmooth and nonconvex minimization problems	5
A note on the Grcar matrix	5
New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems	5
Estimating error norms in CG-like algorithms for least-squares and least-norm problems	5
Fast and low-memory compressive sensing algorithms for low tucker-rank tensor approximation from streamed measurements	5
A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes	5
C-FISTA type projection algorithm for quasi-variational inequalities	5
Another HSS iteration method	4
Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations	4
Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems	4
Fast Euler–Maruyama method for weakly singular stochastic Volterra integral equations with variable exponent	4
An efficient three-term conjugate gradient method with adaptive regularization and its application in image restoration	4
A novel numerical method on a posteriori mesh for a singularly perturbed convection-diffusion boundary value problem	4
Quantile-based random sparse Kaczmarz for corrupted and noisy linear systems	4
Numerical solution of distributed-order fractional Korteweg-de Vries equation via fractional Zigzag rising diagonal functions	4
Structure-preserving doubling algorithm for a quadratic matrix equation arising in noisy Markov chains	4
Several accelerated gradient-based iteration methods for solving $$AXB=C$$ with application to tensor surface fitting	4
A stage-wise homotopy ADMM for solving nonconvex quadratic programming problem	4
Nitsche’s method under a semi-regular mesh condition	4
Variable parameter Uzawa method for solving the indefinite least squares problem	4
Network analysis with the aid of the path length matrix	4
Enhancing image restoration using a discrete variational model with triangular mesh-based TV	4