• NSDTST

  • Referenced in 79 articles [sw10818]
  • assessment of initial value methods for ordinary differential equations. Although the overall design characteristics ... packages that were used for the comparison of methods, the details and objectives...
  • STDTST

  • Referenced in 79 articles [sw10819]
  • assessment of initial value methods for ordinary differential equations. Although the overall design characteristics ... packages that were used for the comparison of methods, the details and objectives...
  • lobpcg.m

  • Referenced in 147 articles [sw24008]
  • advocate the standard preconditioned conjugate gradient method for finding an eigenvector as an element ... corresponding homogeneous system of linear equations under the assumption that the eigenvalue is known ... memory requirements. We provide such comparison for our LOBPCG method. Numerical results establish that...
  • VODE

  • Referenced in 214 articles [sw01005]
  • solution of the implicit equations by quasi Newton methods. In this paper the authors consider ... coefficient version of the backward differentiation formula methods for stiff systems. They find that ... their performance. The paper ends with some comparison tests with EPISODE using...
  • RKC

  • Referenced in 126 articles [sw00808]
  • parabolic partial differential equations is discussed, implemented and tested. This method exploits some remarkable properties ... stage (s≥2) method is discussed and analytical expressions for its coefficients are derived ... efficient time-step. Various computational results and comparisons with other methods are provided...
  • CONOPT

  • Referenced in 171 articles [sw02791]
  • verbal and intuitive comparison of the GRG algorithm with the popular methods based on sequential ... engineering and economics of up to 4000 equations with comparative figures for MINOS version...
  • STRSCNE

  • Referenced in 59 articles [sw00922]
  • Matlab solver for constrained nonlinear equations is presented. The code, called STRSCNE, is based ... affine scaling trust-region method STRN, recently proposed by the authors. The approach taken ... implementing the key steps of the method is discussed. The structure and the usage ... numerical experiments. The results of a comparison with high quality codes for nonlinear optimization...
  • S-ROCK

  • Referenced in 42 articles [sw11792]
  • solution of stiff stochastic differential equations (SDEs). These methods, called S-ROCK (for stochastic orthogonal ... much more efficient than the standard explicit methods proposed so far for stochastic problems ... improvement. The explicitness of the S-ROCK methods allows one to handle large systems without ... problems usually encountered with implicit methods. Numerical results and comparisons with existing methods are reported...
  • ALCON

  • Referenced in 37 articles [sw05315]
  • corrector iteration the Gauss-Newton method is used where the QR-factorization of the Jacobian ... branch switching at such points. Some numerical comparisons illustrate the efficiency of the implementation ... ALCON1: (Al)gebraic system of equations (Con)tinuation method. Pathfollowing method for parameter-dependent nonlinear...
  • ROWMAP

  • Referenced in 49 articles [sw09627]
  • problems. It is based on the ROW-methods of the code ROS4 of Hairer ... dimension of the differential equations. Numerical tests and comparisons with the multistep code VODPK illustrate...
  • ROS3P

  • Referenced in 45 articles [sw00813]
  • special problem classes including linear parabolic equations. His solver RODASP, however, drops down to order ... method exists with three stages and two function evaluations only. A comparison with other third...
  • Nektar++

  • Referenced in 104 articles [sw11964]
  • study. Numerical methods for elliptic partial differential equations (PDEs) within both continuous and hybridized discontinuous ... element method to the GPU and perform a case study for a particular method within ... framework. This study provides comparison between CPU and GPU implementations of the method as well...
  • HPDDM

  • Referenced in 6 articles [sw15717]
  • Balancing Domain Decomposition (BDD) method. These methods can be enhanced with deflation vectors computed automatically ... problems like the Helmholtz equation. A comparison with modern multigrid methods can be found...
  • PIROCK

  • Referenced in 7 articles [sw10253]
  • stabilized in the PIROCK method. The method, implemented in a single black-box code that ... differential equation. Numerical experiments and comparisons with existing Chebyshev methods, IMEX methods and partitioned methods...
  • ValEncIA-IVP

  • Referenced in 30 articles [sw04846]
  • Comparison with Other Initial Value Problem Solvers Validated integration of ordinary differential equations with uncertain ... Parallelepiped and QR preconditioning of the state equations, Taylor model arith- metic, as well ... several methods implemented there for reduction of overestimation are described. Furthermore, a detailed comparison...
  • ValEncIA

  • Referenced in 19 articles [sw08735]
  • Comparison with Other Initial Value Problem Solvers. Validated integration of ordinary differential equations with uncertain ... bounds for the uncertainties are known, interval methods can be applied to obtain validated enclosures ... Parallelepiped and QR preconditioning of the state equations, Taylor model arithmetic, as well as simulation ... several methods implemented there for reduction of overestimation are described. Furthermore, a detailed comparison...
  • AFEM@matlab

  • Referenced in 37 articles [sw07764]
  • AFEMs) for stationary and evolution partial differential equations in two spatial dimensions. It contains robust ... benefit not only the education of the methods but also future research and algorithmic development ... speed up program development; (2) facilitate comparisons of ideas and results; (3) improve academic publications...
  • BEAM189

  • Referenced in 51 articles [sw07447]
  • state. In this method, the discretized nonlinear equations are given based upon the virtual work ... pressure effect is equivalent included in our method by modifying beam element cross-section parameters ... verify the accuracy of our proposed method. The comparisons reveal that the numerical results obtained...
  • na12

  • Referenced in 29 articles [sw11490]
  • quadratically convergent method for solving the matrix equation X = ∑+ ∞ i=0 Xi Ai, where ... propose a further improvement of the above method, based on a point-wise evaluation/interpolation ... higher numerical stability. Numerical results and comparisons are provided...
  • Fastcap

  • Referenced in 30 articles [sw08926]
  • boundary-element technique for solving the integral equation associated with the multiconductor capacitance extraction problem ... number of conductors. Performance comparisons on integrated circuit bus crossing problems show that for problems ... conductors the multipole accelerated boundary element method can be nearly 500 times faster than Gaussian...