
Daesa
 Referenced in 13 articles
[sw14290]
 functions. DAESA can analyze systems that are fully nonlinear, high index, and of any order...

HLLC
 Referenced in 72 articles
[sw06530]
 subsonic” wave configuration. The solver is fully nonlinear. It is also complete, that ... schemes are suitable for solving numerically nonconservative systems. Finally, we use locally the new HLLC...

PDENet
 Referenced in 91 articles
[sw36963]
 time: to accurately predict dynamics of complex systems and to uncover the underlying hidden ... nonlinear responses. Comparing with existing approaches, which either assume the form of the nonlinear response ... learning both differential operators and the nonlinear responses. A special feature of the proposed ... network. These constrains are carefully designed by fully exploiting the relation between the orders...

MOOSE
 Referenced in 41 articles
[sw18084]
 systems of nonlinear equations. Systems of coupled, nonlinear partial differential equations (PDEs) often arise ... framework targeted at the solution of such systems, is presented. As opposed to traditional data ... simulation tools. In addition, systems are solved implicitly and fully coupled, employing physicsbased preconditioning...

DeepONet
 Referenced in 50 articles
[sw42093]
 potential application of neural networks in learning nonlinear operators from data. However, the theorem guarantees ... identifying two types of operators, i.e., dynamic systems and partial differential equations, and demonstrate that ... reduces the generalization error compared to the fullyconnected networks. We also derive theoretically...

Tusas
 Referenced in 1 article
[sw41997]
 element spatial discretization of the fullycoupled nonlinear system of partial differential equations...

PFLOTRAN
 Referenced in 33 articles
[sw13428]
 transport code. PFLOTRAN solves a system of generally nonlinear partial differential equations describing multiphase, multicomponent ... equations can be solved using either a fully implicit NewtonRaphson algorithm or the less...

XTOR2F
 Referenced in 8 articles
[sw01030]
 fully implicit one using the NITSOL library with NewtonKrylov methods of solution for nonlinear ... system of equations. After addressing the sensitive issue of preconditioning and time step tuning...

Aria
 Referenced in 7 articles
[sw09026]
 problems described by systems of PDEs and is capable of solving nonlinear, implicit, transient ... equations, energy transport equation, species transport equations, nonlinear elastic solid mechanics, and electrostatics as well ... problems are solved in several ways including fullycoupled Newton’s method with analytic ... Krylov methods, fullycoupled Picard’s method, and a looselycoupled nonlinear iteration about subsets...

FIDISOL
 Referenced in 12 articles
[sw00288]
 program package for the solution of nonlinear systems of 2D and 3D elliptic ... parabolic differential equations subject to arbitrary nonlinear boundary conditions on a rectangular domain. The solution ... which the principles of developing a fully vectorized program package designed as a data flow ... iterative solvers for large sparse linear systems. For details the reader is referred...

aicm
 Referenced in 11 articles
[sw11487]
 problem for a Hamiltonian system of ordinary differential equations with nonlinear dependence on a real ... author informs that both codes are fully documented and are written in Fortran...

pyunicorn
 Referenced in 8 articles
[sw19314]
 nonlinear time series analysis for complex systems science: The pyunicorn package. We introduce the pyunicorn ... network theory and nonlinear time series analysis. exttt{pyunicorn} is a fully objectoriented ... pyunicorn provides insights into the nonlinear dynamics of complex systems as recorded...

CPRAMG
 Referenced in 11 articles
[sw17621]
 this process is modeled by a nonlinear system of partial differential equations derived by considering ... solving the algebraic systems of equations derived from a fully coupled and timeimplicit treatment...

FeatLBE
 Referenced in 1 article
[sw31316]
 solvers. The fully implicit treatment of the LBE leads to nonlinear systems which...

Functions and Equations
 Referenced in 0 articles
[sw05986]
 error bound for the results. It can fully explore intervals to search for multiple solutions ... hyperbolic. Numerically solves systems of simultaneous nonlinear equations. It can fully explore defined intervals...

TDDS
 Referenced in 7 articles
[sw31513]
 Differential Systems). Given a polynomially nonlinear differential system, which in addition to equations may contain ... equations are involutive. Usually the decomposed system is substantially easier to investigate and solve both ... output subsystem. The Thomas decomposition is fully algorithmic. It allows to perform important elements...

pfmcracks
 Referenced in 2 articles
[sw42642]
 component system of displacements and a phasefield indicator variable is used. The nonlinear problem ... predictor–corrector mesh refinement. The code is fully parallelized and scales to 1000 and more...

stella
 Referenced in 2 articles
[sw36941]
 solution of the gyrokineticPoisson system of equations in the local limit. This scheme ... approach over a fully explicit treatment and provide linear and nonlinear benchmark comparisons for both...

ManiSolve
 Referenced in 1 article
[sw34623]
 satisfaction problems. We consider square, sparse nonlinear systems of equations whose Jacobian is structurally nonsingular ... separated solutions of such systems. We assume that the input system is ordered such that ... small border width; this can be performed fully automatically with offtheshelf decomposition methods ... numerical experience show that models of technical systems tend to decompose favorably in practice. Once...

REDBACK
 Referenced in 5 articles
[sw21421]
 supercomputing power and easy access to powerful nonlinear solvers such as PETSc (http://www.mcs.anl.gov/petsc/). ... scientists to develop easily some tightlycoupled fully implicit multiphysics simulations that run automatically ... dissipative terms in the coupled system of equations. We show first applications of fully coupled...