## Found 121 Documents (Results 1–100)

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### On $$\varepsilon$$-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer. (English)Zbl 07490003

MSC:  65M06 65M12
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### A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems. (English)Zbl 1480.65224

MSC:  65M06 65M12
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### A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters. (English)Zbl 07474792

MSC:  65N06 65N12 65N15
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### On a reliable numerical method for a singularly perturbed parabolic reaction-diffusion problem in a doubly connected domain. (English)Zbl 1434.65139

Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 558-565 (2019).
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### Development and numerical study of robust difference schemes for a singularly perturbed transport equation. (English)Zbl 1434.65133

Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 476-483 (2019).
MSC:  65M06 65M12
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### Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems. (English)Zbl 1422.65176

MSC:  65M06 65M12 35B25
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### Parameter-uniform improved hybrid numerical scheme for singularly perturbed problems with interior layers. (English)Zbl 07394606

MSC:  65L10 65L11 65L20
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### Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh. (English)Zbl 1409.65052

MSC:  65M06 65M12 65M50
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### Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations. (English)Zbl 1390.65063

MSC:  65M06 65M12
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### Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations. (English)Zbl 1395.65017

MSC:  65M06 65M12
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### A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations. (English)Zbl 1380.65117

MSC:  65L03 65L11 34K28 34K26 65L12 65L70 65L50
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### On the convergence of the Dirichlet grid problem with a singularity for a singularly perturbed convection-diffusion equation. (English. Russian original)Zbl 1368.65212

Mosc. Univ. Comput. Math. Cybern. 40, No. 4, 147-154 (2016); translation from Vestn. Mosk. Univ., Ser. XV 2016, No. 4, 3-9 (2016).
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### An O$$(N^{-1}\ln n)^4$$ parameter uniform difference method for singularly perturbed differential-difference equations. (English)Zbl 1337.65059

Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 299-308 (2015).
MSC:  65L03 65L12 34K28 34K26 65L11 65L70 65L50
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### A robust computational technique for a system of singularly perturbed reaction-diffusion equations. (English)Zbl 1293.93532

MSC:  93C70 93C20 93B40
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### A robust computational technique for a system of singularly perturbed convection-diffusion equations. (English)Zbl 1359.65129

MSC:  65L12 65L11 65L50
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MSC:  65D30
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### A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems. (English)Zbl 1299.65153

MSC:  65L11 65L10 65D07
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### A hybrid initial-value technique for singularly perturbed boundary value problems. (English)Zbl 1273.65102

MSC:  65L11 65L10
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### On the singularly perturbed character of the turbulent free jet and its robust numerical solution. (English)Zbl 1412.76043

MSC:  76F65 65M06 76M20
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### Fitted mesh numerical method for singularly perturbed delay differential turning point problems exhibiting boundary layers. (English)Zbl 1255.65143

MSC:  65L12 34K26 34K28
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### Conservative finite difference scheme for a singularly perturbed elliptic reaction-diffusion equation: approximation of solutions and derivatives. (Russian, English)Zbl 1224.65238

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 4, 665-678 (2010); translation in Comput. Math., Math. Phys. 50, No. 4, 633-645 (2010).
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### Pointwise approximation of corner singularities for singularly perturbed elliptic problems with characteristic layers. (English)Zbl 1201.65196

MSC:  65N15 65N06 35J15
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### A robust finite difference scheme for pricing American put options with singularity-separating method. (English)Zbl 1192.91190

MSC:  91G60 91G20 65M12
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### Approximations of the solution of reaction-diffusion problems on a uniform and piecewise uniform grid. (English)Zbl 1274.65205

MSC:  65L10 34B15 65L50

### Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems. (English)Zbl 1238.65079

MSC:  65L11 65L12 65D07
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### Uniform difference method for parameterized singularly perturbed delay differential equations. (English)Zbl 1206.65192

MSC:  65L12 65L11
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### A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case. (English)Zbl 1179.65097

Hegarty, Alan F. (ed.) et al., BAIL 2008 – Boundary and interior layers. Proceedings of the international conference on boundary and interior layers – computational and asymptotic methods, Limerick, Ireland, July 28–August 1, 2008. Berlin: Springer (ISBN 978-3-642-00604-3/pbk; 978-3-642-00605-0/ebook). Lecture Notes in Computational Science and Engineering 69, 267-276 (2009).
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### A system of singularly perturbed semilinear equations. (English)Zbl 1180.65090

Hegarty, Alan F. (ed.) et al., BAIL 2008 – Boundary and interior layers. Proceedings of the international conference on boundary and interior layers – computational and asymptotic methods, Limerick, Ireland, July 28–August 1, 2008. Berlin: Springer (ISBN 978-3-642-00604-3/pbk; 978-3-642-00605-0/ebook). Lecture Notes in Computational Science and Engineering 69, 163-172 (2009).
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### Uniform mesh approximation to nonsmooth solutions of a singularly perturbed convection-diffusion equation in a rectangle. (English. Russian original)Zbl 1176.65119

Differ. Equ. 45, No. 7, 973-982 (2009); translation from Differ. Uravn. 45, No. 7, 954-964 (2009).
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### Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems. (English)Zbl 1185.65149

Reviewer: S. Burys (Kraków)
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### An iterative numerical algorithm for a strongly coupled system of singularly perturbed convection-diffusion problems. (English)Zbl 1233.65079

Margenov, Svetozar (ed.) et al., Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-00463-6/pbk). Lecture Notes in Computer Science 5434, 104-115 (2009).
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### A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems. (English)Zbl 1364.81015

MSC:  81-08 65N25 81Q05

MSC:  65L12
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### A hybrid difference scheme for singularly perturbed second order ordinary differential equations with discontinuous convection coefficient and mixed type boundary conditions. (English)Zbl 1264.65117

MSC:  65L12 65L11 65L10
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### Hybrid difference schemes for a singularly perturbed second order ordinary differential equation with a discontinuous convection coefficient arising in chemical reactor theory. (English)Zbl 1168.65044

MSC:  65L10 65L12 65L70

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### Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers. (English)Zbl 1155.65086

MSC:  65N06 65N15
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### Uniform numerical method for singularly perturbed delay differential equations. (English)Zbl 1134.65042

MSC:  65L05 65L12 65L50 34K28 65L20 34K06
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### A robust numerical method for flow through a pipe driven by an oscillating pressure gradient. (English)Zbl 1370.76099

MSC:  76M20 76D05
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### A method of asymptotic constructions with improved accuracy for quasilinear singularly perturbed parabolic convection-diffusion equation. (Russian, English)Zbl 1210.65143

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 2, 242-261 (2006); translation in Comput. Math. Math. Phys. 46, No. 2, 231-250 (2006).
MSC:  65L50 35B25

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### Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems. (English)Zbl 1098.65091

Reviewer: S. Burys (Kraków)
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### A higher-order Richardson method for a quasilinear singularly perturbed elliptic reaction-diffusion equation. (English. Russian original)Zbl 1096.65107

Differ. Equ. 41, No. 7, 1030-1039 (2005); translation from Differ. Uravn. 41, No. 7, 980-989 (2005).
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### Parameter uniform numerical method for a boundary-value problem for singularly perturbed nonlinear delay differential equation of neutral type. (English)Zbl 1065.65094

MSC:  65L10 34K10 34K28 65L50 34K26
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### An improved piecewise uniform mesh for a singularly perturbed elliptic reaction-diffusion equation. (English)Zbl 1125.65349

Vasil’eva, E. V. (ed.), Fluid dynamics. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 2, S138-S147 (2003).

### Parameter-uniform numerical methods for a laminar jet problem. (English)Zbl 1032.76631

MSC:  76M20 76D25
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### A Reynolds-uniform numerical method for Prandtl’s boundary layer problem for flow past a wedge. (English)Zbl 1032.76633

MSC:  76M20 76D10 65N15
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### A note on fitted operator methods for a laminar jet problem. (English)Zbl 1100.76517

MSC:  76D25 65N12 76M25
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