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1. Numerical methods for solving some matrix feasibility problems

作者： Xue-Feng Duan ; Chun-Mei Li ; Jiao-Fen Li ; Yong Ding

关键词：Matrix feasibility problem ; Quantum information science ; Projection formula ; Numerical method

刊名：Numerical Algorithms

出版年：2017

2. Derivation of three-derivative Runge-Kutta methods

作者： Mukaddes Ökten Turacı ; Turgut Öziş

关键词：Two ; derivative Runge ; Kutta methods ; Rooted trees ; Multi ; derivative Runge ; Kutta methods ; Order conditions

刊名：Numerical Algorithms

出版年：2017

3. Efficient weak second-order stochastic Runge–Kutta methods for Itô stochastic differential equations

作者： Xiao Tang ; Aiguo Xiao

关键词：Itô stochastic differential equations ; Stochastic Runge–Kutta methods ; Weak convergence

刊名：BIT Numerical Mathematics

出版年：2017

4. Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

作者： Winfried Auzinger ; Harald Hofstätter ; David Ketcheson…

关键词：Evolution equations ; Splitting methods ; Free Lie algebra ; Order conditions ; Local error ; Embedded methods

刊名：BIT Numerical Mathematics

出版年：2017

5. New two stages high order symmetric six-step method with vanished phase–lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation

作者： Ibraheem Alolyan ; T. E. Simos

关键词：Schrödinger equation ; Multistep methods ; Multistage methods ; Interval of periodicity ; Phase–lag ; Phase ; fitted ; Derivatives of the phase–lag

刊名：Journal of Mathematical Chemistry

出版年：2017

6. Parameter-uniform numerical methods for general nonlinear singularly perturbed reaction diffusion problems having a stable reduced solution

作者： Jason Quinn

关键词：Singularly perturbed ; Shishkin mesh ; Nonlinear ; Reaction diffusion problem ; Power ; law layer

刊名：BIT Numerical Mathematics

出版年：2017

7. Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems

作者： Owe Axelsson ; Shiraz Farouq ; Maya Neytcheva

关键词：PDE ; constrained optimization problems ; Finite elements ; Iterative solution methods ; Preconditioning

刊名：Numerical Algorithms

出版年：2017

8. Cheap arbitrary high order methods for single integrand SDEs

作者： Kristian Debrabant ; Anne Kværnø

关键词：Stochastic differential equation ; Runge–Kutta methods ; Single integrand SDEsB ; series

刊名：BIT Numerical Mathematics

出版年：2017

9. Accurate Implicit–Explicit General Linear Methods with Inherent Runge–Kutta Stability

作者： Michał Braś ; Giuseppe Izzo ; Zdzisław Jackiewicz

关键词：IMEX methods ; General linear methods ; Inherent Runge–Kutta stability ; Convergence and stability analysis ; Construction of highly stable methods

刊名：Journal of Scientific Computing

出版年：2017

10. On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations

作者： Enrique Fernández-Cara ; Arnaud Münch ; Diego A. Souza

关键词：Null controllability ; Numerical methods ; Heat equation ; Stokes and Navier–Stokes equations ; Mixed finite elements

刊名：Journal of Scientific Computing

出版年：2017

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