• DENOVO

  • Referenced in 13 articles [sw18081]
  • solution methods to obtain accurate solutions to the Boltzmann transport equation. Denovo uses the Koch ... orthogonal meshes. As opposed to traditional SN codes that use source iteration, Denovo uses nonstationary ... methods to solve the within-group equations. Krylov methods are far more efficient than stationary ... Also, users have the option of running traditional source iteration instead of Krylov iteration. Multigroup...
  • MIBPB

  • Referenced in 58 articles [sw08106]
  • package for electrostatic analysis. The Poisson–Boltzmann equation (PBE) is an established model ... mesh size is halved. The MIBPB method is also equipped with a Dirichlet-to-Neumann ... whereas it usually takes other traditional PB solvers 0.25 Å to reach similar level ... accelerates the rate of convergence of linear equation systems resulting from the MIBPB by using...
  • SERK2

  • Referenced in 12 articles [sw10426]
  • order stabilized explicit Runge-Kutta method for stiff problems. Traditionally, explicit numerical algorithms have ... been used with stiff ordinary differential equations (ODEs) due to their stability. Implicit schemes ... with very large dimension. Stabilized Runge-Kutta methods (also called Runge-Kutta-Chebyshev methods) were...
  • SNSequate

  • Referenced in 3 articles [sw21191]
  • currently implements the traditional mean, linear and equipercentile equating methods, as well as the mean...
  • Cosmos++

  • Referenced in 5 articles [sw16653]
  • GRMHD equations using traditional artificial viscosity (AV) or nonoscillatory central difference (NOCD) methods ... traditional artificial viscosity methods in their speed and flexibility. In addition, the GRMHD equations...
  • Adams

  • Referenced in 50 articles [sw06593]
  • performance of their products. Traditional ”build and test” design methods are expensive, time consuming ... Adams incorporates real physics by simultaneously solving equations for kinematics, statics, quasi-statics, and dynamics...
  • sldg

  • Referenced in 8 articles [sw17637]
  • differential equations (usually first order equations). Since these methods are conservative, local in space ... considered a promising alternative to more traditional semi-Lagrangian schemes (which are usually based...
  • Newton

  • Referenced in 6 articles [sw21236]
  • numerical analysis, such as the interval Newton method. Its key conceptual idea is to introduce ... reasonable computation cost and generalizes some traditional interval operators. Newton has been applied to numerous ... nonlinear equation-solving, unconstrained optimization, and constrained optimization. It is competitive with continuation methods...
  • iNA

  • Referenced in 4 articles [sw17973]
  • equivalent. The latter is a Monte-Carlo method, which, despite enjoying broad availability ... coupled differential-difference equations for the probability of the system being ... possible mesoscopic states; these equations are typically computationally intractable because of the inherently large state ... Ginac with traditional methods of stochastic simulation. iNA integrates two approximation methods based...
  • MAESTRO

  • Referenced in 14 articles [sw11176]
  • phenomena are highly subsonic, requiring specialized numerical methods suitable for long-time integration ... model using traditional compressible codes. MAESTRO is based on an equation set derived using...
  • CRKSPH

  • Referenced in 12 articles [sw41141]
  • momentum equation. Additionally, by exploiting the increased accuracy of the RK method’s gradient ... call our suite of modifications to the traditional SPH scheme Conservative Reproducing Kernel...
  • Fran

  • Referenced in 11 articles [sw21482]
  • complex conditions, carrying possibly rich information. Most traditional values can be treated as behaviors ... time, to guide reasoning and implementation. A method to effectively and efficiently perform event detection ... springs, velocity, acceleration, etc. using ordinary differential equations...
  • Godess

  • Referenced in 4 articles [sw09263]
  • value problems. The Godess (generic ordinary differential equations solving system) project aims at the development ... verification of methods and control strategies. Based on comparisons with traditional solvers, we find that...
  • AnyBubble

  • Referenced in 8 articles [sw31804]
  • more than one field space dimension. Traditional shooting methods fail because of the extreme ... function of initial conditions. Minimization methods tend to become either slow or imprecise for larger ... discretized function spaces. We present a new method for finding solutions which is both very ... with the non-linearities. Our method directly integrates the equations of motion except...
  • SERK2v3

  • Referenced in 8 articles [sw14473]
  • against the use of explicit ordinary differential equations (ODE) solvers for the integration of stiff ... explicit methods can be very efficient for specific problems. Stabilized explicit Runge-Kutta methods (SERK ... class of explicit methods with extended stability domains along the negative real axis ... times lower than for traditional explicit algorithms. In this way moderately stiff problems...
  • MDC-ELLIPSOIDs

  • Referenced in 11 articles [sw22577]
  • Newton-Raphson method with analytical Jacobians. The system of non-linear equations corresponds ... implemented to test for coarse (with the traditional bounding spheres) and narrow (with the separate ... physics, modeling discontinuous mechanical systems (discrete element method) in geomechanics, humanoid design in biomechanics, virtual...
  • MACH

  • Referenced in 1 article [sw01371]
  • eigenvalue equation of the Mathieu type with an extra damping term. The method presented here ... appropriate eigenvalue is much faster than traditional matrix determinant methods...
  • ATLAS

  • Referenced in 1 article [sw18242]
  • periodic systems. Instead of the traditional self-consistent method, a powerful scheme for energy minimization ... introduced to solve the Euler-Lagrange equation. Our approach engages both the real-space finite...
  • BTN

  • Referenced in 3 articles [sw00094]
  • easy to use as traditional algorithms for this problem, requiring only that a (scalar) subroutine ... method. Truncated-Newton methods obtain the search direction by approximately solving the Newton equations...
  • FASP

  • Referenced in 2 articles [sw19089]
  • iterative methods for solving discretized partial differential equations (PDEs). Though these efforts have yielded many ... multigrid method, the unfortunate reality is that multigrid methods have not been much used ... mainly due to the fragility of traditional multigrid (MG) methodology and the complexity ... size-for-all solution method for discrete linear systemsfrom different applications. And, efficient iterative solvers...