Get started
Keyword

unique solvability

Description: A mathematical property of an equation or problem that guarantees exactly one solution under specified conditions.
OpenAlex ID: keywords/unique-solvability
Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation
1998 · David J. Eyre · MRS Proceedings · 737
A compact finite difference scheme for the fractional sub-diffusion equations
2010 · Guang-hua Gao, Zhi-zhong Sun · Journal of Computational Physics · 414
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation
2015 · Daozhi Han, Xiaoming Wang · Journal of Computational Physics · 225
PDF
The Dirichlet problem for nonlocal operators
2014 · Matthieu Felsinger, Moritz Kassmann, et al. · Mathematische Zeitschrift · 192
Finding adapted solutions of forward–backward stochastic differential equations: method of continuation
1997 · Jiongmin Yong · Probability Theory and Related Fields · 189
PDF
An energy stable fourth order finite difference scheme for the Cahn–Hilliard equation
2018 · Kelong Cheng, Wenqiang Feng, et al. · Journal of Computational and Applied Mathematics · 187
PDF
On equivalent reformulations for absolute value equations
2007 · Oleg Prokopyev · Computational Optimization and Applications · 178
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
2019 · Wenbin Chen, Cheng Wang, et al. · Journal of Computational Physics X · 170
On Single Integral Equations for the Transmission Problem of Acoustics
1988 · R. E. Kleinman, P. A. Martin · SIAM Journal on Applied Mathematics · 169
Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
1978 · O. A. Ladyzhenskaya, V. A. Solonnikov · Journal of Soviet Mathematics · 166
Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
1989 · D.S. Dzhumabayev · USSR Computational Mathematics and Mathematical Physics · 158
Second order schemes and time-step adaptivity for Allen–Cahn and Cahn–Hilliard models
2014 · Francisco Guillén-González, Giordano Tierra · Computers & Mathematics with Applications · 144
PDF
A fully divergence-free finite element method for magnetohydrodynamic equations
2017 · Ralf Hiptmair, Lingxiao Li, et al. · Mathematical Models and Methods in Applied Sciences · 140
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
2015 · H. Ye, F. Liu, et al. · Journal of Computational Physics · 140
PDF
Generalizations of P0- and P-properties; extended vertical and horizontal linear complementarity problems
1995 · Roman Sznajder, M.Seetharama Gowda · Linear Algebra and its Applications · 135
PDF
An iterative method for solving absolute value equations and sufficient conditions for unique solvability
2012 · Jiri Rohn, Vahideh Hooshyarbakhsh, et al. · Optimization Letters · 133
Some remarks on the wave equations with nonlinear damping and source terms
1996 · Ryo Ikehata · Nonlinear Analysis · 118
Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others
2007 · Doyoon Kim, N. V. Krylov · SIAM Journal on Mathematical Analysis · 109
On boundary value problems for systems of linear functional differential equations
1997 · Ivan Kiguradze, Bedřich Půža · Czechoslovak Mathematical Journal · 108
PDF
A new conservative finite difference scheme for the Rosenau equation
2007 · Khaled Omrani, Faycal Abidi, et al. · Applied Mathematics and Computation · 101
Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows
2016 · Daozhi Han, Alex Brylev, et al. · Journal of Scientific Computing · 99
First and second order numerical methods based on a new convex splitting for phase-field crystal equation
2016 · Jaemin Shin, Hyun Geun Lee, et al. · Journal of Computational Physics · 96
General DG-Methods for Highly Indefinite Helmholtz Problems
2013 · J. M. Melenk, A. Parsania, et al. · Journal of Scientific Computing · 95
PDF
On unique solvability of the absolute value equation
2009 · Jiri Rohn · Optimization Letters · 95
Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models
2014 · G. Tierra, F. Guillén-González · Archives of Computational Methods in Engineering · 92
Works count: 2,413
Citation count: 18,920
Year
Topic
Type