NSTL国家科技图书文献中心

1. Optimal convergence order for multi-scale stochastic Burgers equation NSTL国家科技图书文献中心

Gao, Peng | Sun, Xiaobin - 《Stochastic Partial Differential Equations》 - 2025,13(1) - 421～464 - 共44页

摘要： convergence rates for multi-scale one-dimensional stochastic | equation with optimal* orders 1/2 and 1 respectively. The* | to be the first result in which the optimal | convergence orders in strong and weak sense for multi-scale | In this paper, we study the strong and weak

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

2. A two-point Newton-like method of optimal fourth order convergence for systems of nonlinear equations NSTL国家科技图书文献中心

Singh H. | Sharma J.R. - 《Journal of complexity》 - 2025,86(Feb.) - 1.1～1.12 - 共12页

摘要： iteration scheme shows optimal fourth order of convergence | © 2024 Elsevier Inc.A two-step Newton-like | method is proposed to efficiently solve the systems of | nonlinear equations. Extending Newton scheme to a next | step as weighted-Newton iteration, the proposed

关键词： Computational efficiency | Convergence order | Newton-like methods | System of nonlinear equations

3. Optimal convergence analysis of the lowest-order nonconforming virtual element method for general nonlinear parabolic equations NSTL国家科技图书文献中心

Chen, Yanping | Liu, Wanxiang ... - 《Journal of Computational and Applied Mathematics》 - 2025,465 - 共26页

摘要： parabolic equation based on second-order* weighted implicit* | -explicit schemes in time and the lowest-order | proposed method achieves second-order* global accuracy in* | rigorously prove the convergence* and boundedness of the* | boundedness and unconditional optimal* error estimate of the*

关键词： Error analysis | Nonlinear parabolic equations | Nonconforming virtual element method | Weighted implicit-explicit scheme

4. A new multiphysics finite element method for a quasi-static poroelasticity model NSTL国家科技图书文献中心

Zhihao Ge | Yanan He - 《Applied Numerical Mathematics》 - 2025,209(Mar.) - 1～19 - 共19页

摘要： parameters and it has the optimal convergence order | In this paper, we propose a new multiphysics | finite element method for a quasi-static poroelasticity | model. Firstly, to overcome the displacement locking | phenomenon and pressure oscillation, we reformulate the

关键词： Poroelasticity model | Nonlocal Stokes equations | Multiphysics finite element method | Optimal convergence order | Locking phenomenon

5. A reproducing kernel based collocation method for arbitrary m -order BVPs NSTL国家科技图书文献中心

Feng, Yuan | Shan, Yuqing ... - 《Journal of Applied Mathematics and Computing》 - 2025,71(2) - 1631～1647 - 共17页

摘要： points. Our method exhibits optimal* convergence orders* | , where the convergence* order under the broken vertical* | boundary value problems of arbitrary order* m. For the m* | -order* differential equation, we construct basis* | , specifically, the convergence* orders under the L-infinity, L*

关键词： Optimal convergence order | Reproducing kernel methods | Collocation methods | Boundary value problems

6. The optimal convergence of a modified weak Galerkin spectral element method for second order elliptic equations NSTL国家科技图书文献中心

Pan, Jiajia | Shang, Gaoli - 《Computational and Applied Mathematics》 - 2025,44(5) - 共14页

摘要：Optimal error estimates on an improved weak | second order* elliptic are established. Approximation* | established from high-order* orthogonal polynomials defined* | the optimal* hp error estimates with respect to the* | sequel, the optimal* hp error estimates performed on*

关键词： Weak gradient | Weak Galerkin spectral element | Penalty term | Optimal hp error estimates

7. Numerical Analysis of Stabilizer-Free Weak Galerkin Finite Element Method for Time-Dependent Differential Equation Under Low Regularity NSTL国家科技图书文献中心

Liu, Xuan | Zou, Yongkui ... - 《Numerical Methods for Partial Differential Equations》 - 2025,41(1) - n/a～n/a - 共15页

摘要： optimal convergence order of error estimates for the | , the optimal* convergence order of error estimates is* | second-order* time-dependent differential equation under* | convergence rates. But in many applications, the exact | partitions to demonstrate the theoretical convergence

关键词： low regularity | optimal convergence order | second order time-dependent differential equation | stabilizer-free weak galerkin finite element method | second order time‐dependent differential equation | stabilizer‐free weak galerkin finite element method

8. A novel optimal fourth-order iteration scheme for solving nonlinear problems in applied sciences NSTL国家科技图书文献中心

Sunil,Kumar | R.,Ishwariya ... - 《Journal of Applied Mathematics and Computing》 - 2025,71(1) - 643～667 - 共25页

摘要：-order* convergence of the proposed scheme. The proposed* | order convergence by using only three function | convergence order (CCO) and CPU time (sec). Several | comparison with some existing optimal* fourth order methods* | have a faster rate of convergence. Hence, the aim of

关键词： Optimal iterative methods | Order of convergence | Simple roots | Nonlinear equations | Fractal behavior

9. An Efficient and Robust Weak Galerkin Scheme for Solving the 2D/3D H(curl;Ω)-Elliptic Interface Problems With High-Order Elements NSTL国家科技图书文献中心

Mohapatra, Achyuta R... | Kumar, Raman ... - 《Numerical Methods for Partial Differential Equations》 - 2025,41(1) - n/a～n/a - 共15页

摘要： functions. Optimal* convergence rates of order k+1$$ k+1* | In this paper, we present a high-order* weak* | $$ under L2$$ {L}2 $$-norm and order* k$$ k $$ in a* | experiments verify the expected order* of accuracy for both* | Galerkin finite element method (WG-FEM) for solving the H

关键词： Maxwell interface problems | optimal order convergence | weak Galerkin methods | weak orthogonality

10. A two-parameter Tikhonov regularization for a fractional sideways problem with two interior temperature measurements NSTL国家科技图书文献中心

Dang Duc Trong | Dinh Nguyen Duy Hai ... - 《Mathematics and computers in simulation》 - 2025,229(Mar.) - 491～511 - 共21页

摘要：, we obtain the order* optimal convergence estimates* | derivative of order* (0,1], where the data are given at* | This paper deals with a fractional sideways | problem of determining the surface temperature of a heat | body from two interior temperature measurements

摘要： convergence rates for multi-scale one-dimensional stochastic | equation with optimal* orders 1/2 and 1 respectively. The* | to be the first result in which the optimal | convergence orders in strong and weak sense for multi-scale | In this paper, we study the strong and weak

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

摘要： iteration scheme shows optimal fourth order of convergence | © 2024 Elsevier Inc.A two-step Newton-like | method is proposed to efficiently solve the systems of | nonlinear equations. Extending Newton scheme to a next | step as weighted-Newton iteration, the proposed

关键词： Computational efficiency | Convergence order | Newton-like methods | System of nonlinear equations

关键词： Error analysis | Nonlinear parabolic equations | Nonconforming virtual element method | Weighted implicit-explicit scheme

摘要： parameters and it has the optimal convergence order | In this paper, we propose a new multiphysics | finite element method for a quasi-static poroelasticity | model. Firstly, to overcome the displacement locking | phenomenon and pressure oscillation, we reformulate the

关键词： Poroelasticity model | Nonlocal Stokes equations | Multiphysics finite element method | Optimal convergence order | Locking phenomenon

关键词： Optimal convergence order | Reproducing kernel methods | Collocation methods | Boundary value problems

摘要：Optimal error estimates on an improved weak | second order* elliptic are established. Approximation* | established from high-order* orthogonal polynomials defined* | the optimal* hp error estimates with respect to the* | sequel, the optimal* hp error estimates performed on*

关键词： Weak gradient | Weak Galerkin spectral element | Penalty term | Optimal hp error estimates

摘要： optimal convergence order of error estimates for the | , the optimal* convergence order of error estimates is* | second-order* time-dependent differential equation under* | convergence rates. But in many applications, the exact | partitions to demonstrate the theoretical convergence

关键词： low regularity | optimal convergence order | second order time-dependent differential equation | stabilizer-free weak galerkin finite element method | second order time‐dependent differential equation | stabilizer‐free weak galerkin finite element method

摘要：-order* convergence of the proposed scheme. The proposed* | order convergence by using only three function | convergence order (CCO) and CPU time (sec). Several | comparison with some existing optimal* fourth order methods* | have a faster rate of convergence. Hence, the aim of

关键词： Optimal iterative methods | Order of convergence | Simple roots | Nonlinear equations | Fractal behavior

摘要： functions. Optimal* convergence rates of order k+1$$ k+1* | In this paper, we present a high-order* weak* | $$ under L2$$ {L}2 $$-norm and order* k$$ k $$ in a* | experiments verify the expected order* of accuracy for both* | Galerkin finite element method (WG-FEM) for solving the H

关键词： Maxwell interface problems | optimal order convergence | weak Galerkin methods | weak orthogonality

摘要：, we obtain the order* optimal convergence estimates* | derivative of order* (0,1], where the data are given at* | This paper deals with a fractional sideways | problem of determining the surface temperature of a heat | body from two interior temperature measurements

关键词： Fractional order equation | Ill-posed problem | Tikhonov regularization method | Optimal convergence estimates

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： convergence rates for multi-scale one-dimensional stochastic | equation with optimal orders 1/2 and 1 respectively. The | to be the first result in which the optimal | convergence orders in strong and weak sense for multi-scale | In this paper, we study the strong and weak

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

摘要： iteration scheme shows optimal fourth order of convergence | © 2024 Elsevier Inc.A two-step Newton-like | method is proposed to efficiently solve the systems of | nonlinear equations. Extending Newton scheme to a next | step as weighted-Newton iteration, the proposed

关键词： Computational efficiency | Convergence order | Newton-like methods | System of nonlinear equations

摘要： parabolic equation based on second-order weighted implicit | -explicit schemes in time and the lowest-order | proposed method achieves second-order global accuracy in | rigorously prove the convergence and boundedness of the | boundedness and unconditional optimal error estimate of the

关键词： Error analysis | Nonlinear parabolic equations | Nonconforming virtual element method | Weighted implicit-explicit scheme

摘要： parameters and it has the optimal convergence order | In this paper, we propose a new multiphysics | finite element method for a quasi-static poroelasticity | model. Firstly, to overcome the displacement locking | phenomenon and pressure oscillation, we reformulate the

关键词： Poroelasticity model | Nonlocal Stokes equations | Multiphysics finite element method | Optimal convergence order | Locking phenomenon

摘要： points. Our method exhibits optimal convergence orders | , where the convergence order under the broken vertical | boundary value problems of arbitrary order m. For the m | -order differential equation, we construct basis | , specifically, the convergence orders under the L-infinity, L

关键词： Optimal convergence order | Reproducing kernel methods | Collocation methods | Boundary value problems

摘要：Optimal error estimates on an improved weak | second order elliptic are established. Approximation | established from high-order orthogonal polynomials defined | the optimal hp error estimates with respect to the | sequel, the optimal hp error estimates performed on

关键词： Weak gradient | Weak Galerkin spectral element | Penalty term | Optimal hp error estimates

摘要： optimal convergence order of error estimates for the | , the optimal convergence order of error estimates is | second-order time-dependent differential equation under | convergence rates. But in many applications, the exact | partitions to demonstrate the theoretical convergence

关键词： low regularity | optimal convergence order | second order time-dependent differential equation | stabilizer-free weak galerkin finite element method | second order time‐dependent differential equation | stabilizer‐free weak galerkin finite element method

摘要：-order convergence of the proposed scheme. The proposed | order convergence by using only three function | convergence order (CCO) and CPU time (sec). Several | comparison with some existing optimal fourth order methods | have a faster rate of convergence. Hence, the aim of

关键词： Optimal iterative methods | Order of convergence | Simple roots | Nonlinear equations | Fractal behavior

摘要： functions. Optimal convergence rates of order k+1$$ k+1 | In this paper, we present a high-order weak | $$ under L2$$ {L}2 $$-norm and order k$$ k $$ in a | experiments verify the expected order of accuracy for both | Galerkin finite element method (WG-FEM) for solving the H

关键词： Maxwell interface problems | optimal order convergence | weak Galerkin methods | weak orthogonality

摘要：, we obtain the order optimal convergence estimates | derivative of order (0,1], where the data are given at | This paper deals with a fractional sideways | problem of determining the surface temperature of a heat | body from two interior temperature measurements

关键词： Fractional order equation | Ill-posed problem | Tikhonov regularization method | Optimal convergence estimates

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： convergence rates for multi-scale one-dimensional stochastic | equation with optimal* orders 1/2 and 1 respectively. The* | to be the first result in which the optimal | convergence orders in strong and weak sense for multi-scale | In this paper, we study the strong and weak

摘要：Optimal error estimates on an improved weak | second order* elliptic are established. Approximation* | established from high-order* orthogonal polynomials defined* | the optimal* hp error estimates with respect to the* | sequel, the optimal* hp error estimates performed on*

摘要： optimal convergence order of error estimates for the | , the optimal* convergence order of error estimates is* | second-order* time-dependent differential equation under* | convergence rates. But in many applications, the exact | partitions to demonstrate the theoretical convergence

摘要：-order* convergence of the proposed scheme. The proposed* | order convergence by using only three function | convergence order (CCO) and CPU time (sec). Several | comparison with some existing optimal* fourth order methods* | have a faster rate of convergence. Hence, the aim of

摘要： functions. Optimal* convergence rates of order k+1$$ k+1* | In this paper, we present a high-order* weak* | $$ under L2$$ {L}2 $$-norm and order* k$$ k $$ in a* | experiments verify the expected order* of accuracy for both* | Galerkin finite element method (WG-FEM) for solving the H

摘要：, we obtain the order* optimal convergence estimates* | derivative of order* (0,1], where the data are given at* | This paper deals with a fractional sideways | problem of determining the surface temperature of a heat | body from two interior temperature measurements