All Research Papers Published In Applied Numerical Mathematics

Research Article
2
10.1016/j.apnum.2024.09.028

Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation

Oct 03, 2024
Applied Numerical Mathematics
Lixiang Jin + 3 more +3

Research Article
1
10.1016/j.apnum.2024.09.015

A novel least squares approach generating approximations orthogonal to the null space of the operator

Sep 14, 2024
Applied Numerical Mathematics
Eunjung Lee + 1 more +1

Research Article
2
10.1016/j.apnum.2024.09.013

Numerical solution for a generalized form of nonlinear cordial Volterra integral equations using quasilinearization and Legendre-collocation methods

Sep 12, 2024
Applied Numerical Mathematics
Salwan Tareq Abdulghafoor + 1 more +1

Research Article
8
10.1016/j.apnum.2024.09.011

A numerical method for Ψ-fractional integro-differential equations by Bell polynomials

Sep 11, 2024
Applied Numerical Mathematics
Parisa Rahimkhani

Research Article
2
10.1016/j.apnum.2024.07.010

An efficient iterative method for solving the graph regularization Q-weighted nonnegative matrix factorization problem in multi-view clustering

Aug 02, 2024
Applied Numerical Mathematics
Chunmei Li + 3 more +3

Research Article
2
10.1016/j.apnum.2024.07.016

A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling

Aug 02, 2024
Applied Numerical Mathematics
Aaron Brunk + 2 more +2

We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete approximation scheme in space and time is proposed which preserves the underlying gradient flow structure and leads to dissipation of the free-energy on the discrete level. Existence and uniqueness of the discrete solution is established and relative energy estimates are used to prove optimal convergence rates in space and time under minimal smoothness assumptions. Numerical tests are presented for illustration of the theoretical results and to demonstrate the viability of the proposed methods.

Research Article
3
10.1016/j.apnum.2024.07.001

Strong convergence of the tamed Euler-Maruyama method for stochastic singular initial value problems with non-globally Lipschitz continuous coefficients

Jul 09, 2024
Applied Numerical Mathematics
Yan Li + 2 more +2

Research Article
3
10.1016/j.apnum.2024.06.019

An optimized algorithm for numerical solution of coupled Burgers equations

Jun 26, 2024
Applied Numerical Mathematics
Anurag Kaur + 2 more +2

Research Article
10.1016/j.apnum.2024.05.019

Mixed virtual element methods for elliptic optimal control problems with boundary observations in L2(Γ)

May 24, 2024
Applied Numerical Mathematics
Minghui Yang + 1 more +1

Research Article
1
10.1016/j.apnum.2024.05.010

Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems

May 16, 2024
Applied Numerical Mathematics
Bin Dai + 3 more +3