## Found 186 Documents (Results 1–100)

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### Simulations of nonlinear parabolic PDEs with forcing function without linearization. (English)Zbl 07438436

MSC:  65Mxx 65D07 35K55 34K28
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### Local approximation by parabolic splines in the mean for large averaging intervals. (English. Russian original)Zbl 1455.41002

Math. Notes 108, No. 5, 733-742 (2020); translation from Mat. Zametki 108, No. 5, 771-781 (2020).
MSC:  41A15
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### Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient. (English)Zbl 1445.49013

MSC:  49K20 49M99 65D07
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### Adaptive space-time isogeometric analysis for parabolic evolution problems. (English)Zbl 1453.65330

Langer, Ulrich (ed.) et al., Space-time methods. Applications to partial differential equations. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 25, 141-183 (2019).
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### Functional type error control for stabilised space-time IgA approximations to parabolic problems. (English)Zbl 1465.65097

Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 55-65 (2018).
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### Multipatch space-time isogeometric analysis of parabolic diffusion problems. (English)Zbl 1465.65099

Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 21-32 (2018).
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### A qualocation method for parabolic partial integro-differential equations in one space variable. (English)Zbl 1407.65229

Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1147-1174 (2018).
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### Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media. (English. Russian original)Zbl 06969974

Cybern. Syst. Anal. 54, No. 4, 636-642 (2018); translation from Kibern. Sist. Anal. 2018, No. 4, 135-141 (2018).
MSC:  65-XX
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### $$\mathcal L$$-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations. (English)Zbl 1380.65157

MSC:  65M06 65D07 35K57
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### Approximation by local parabolic splines constructed on the basis of interpolation in the mean. (English)Zbl 1450.65014

MSC:  65D15 65D07
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### On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer. (Russian, English)Zbl 1399.65042

Sib. Zh. Vychisl. Mat. 20, No. 2, 131-144 (2017); translation in Numer. Analysis Appl. 10, No. 2, 108-119 (2017).
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### A polygonal spline method for general second-order elliptic equations and its applications. (English)Zbl 1385.65058

Fasshauer, Gregory E. (ed.) et al., Approximation theory XV: San Antonio 2016. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, May 22–25, 2016. Cham: Springer (ISBN 978-3-319-59911-3/hbk; 978-3-319-59912-0/ebook). Springer Proceedings in Mathematics & Statistics 201, 119-154 (2017).
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### Global error estimation for stiff differential equations. (English)Zbl 1383.65087

München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-3134-2/pbk). viii, 95 p. (2017).

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### Parabolic spline interpolation for functions with large gradient in the boundary layer. (English. Russian original)Zbl 1379.41007

Sib. Math. J. 58, No. 4, 578-590 (2017); translation from Sib. Mat. Zh. 58, No. 4, 745-760 (2017).
MSC:  41A15 65D07
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### Order-optimal methods for integro-differential equations in the singular case. (English. Russian original)Zbl 1359.65306

Differ. Equ. 52, No. 9, 1209-1218 (2016); translation from Differ. Uravn. 52, No. 9, 1252-1261 (2016).
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### Extending BACOLI to solve the monodomain model. (English)Zbl 1355.65002

Bélair, Jacques (ed.) et al., Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Cham: Springer (ISBN 978-3-319-30377-2/hbk; 978-3-319-30379-6/ebook). 447-457 (2016).
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### Numerical analysis with algorithms and programming. (English)Zbl 1359.65002

Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016).

### Galerkin-least square B-spline approach toward advection-diffusion equation. (English)Zbl 1410.76165

MSC:  76M10 65M60 35K20
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### Convergence of three-step Taylor Galerkin finite element scheme based monotone Schwarz iterative method for singularly perturbed differential-difference equation. (English)Zbl 1326.65132

MSC:  65M60 65M12 35K20
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### On Lebesgue constants of local parabolic splines. (English. Russian original)Zbl 1332.65025

Proc. Steklov Inst. Math. 289, Suppl. 1, S192-S198 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 213-219 (2015).
MSC:  65D07 41A15 65D05
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### Numerical mathematics. 4th ed. (Matematica numerica.) (Italian)Zbl 1293.65001

Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014).
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### Spline in compression methods for singularly perturbed 1D parabolic equations in singular coefficients. (English)Zbl 1369.65019

MSC:  65D07 35B25 35K20
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### Numerical differentiation using spline functions. (English. Russian original)Zbl 1262.65037

Comput. Math. Model. 23, No. 3, 312-318 (2012); translation from Prikl. Mat. Inf. 38, 58-65 (2011).
MSC:  65D25 65D07
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### Finite element analysis for mass-lumped three-step Taylor Galerkin method for time dependent singularly perturbed problems with exponentially fitted splines. (English)Zbl 1366.74076

MSC:  74S05 65M06 35K55
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### Numerical simulation of advection-diffusion equation. (English)Zbl 1207.65117

MSC:  65M60 35K20
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### Taylor-Galerkin B-spline finite element method for the one-dimensional advection-diffusion equation. (English)Zbl 1197.65135

MSC:  65M60 35K20
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### Space-time Galerkin least-squares method for the one-dimensional advection-diffusion equation. (English)Zbl 1182.65154

MSC:  65M60 65M12 35K20
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### Numerical methods based on non-polynomial sextic spline for solution of variable coefficient fourth-order wave equations. (English)Zbl 1423.74509

MSC:  74K10 74S30 65D07 35K25 35B35
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### Numerical methods. Principles, analysis and algorithms. (English)Zbl 1196.65001

Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009).

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### Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions. (English. Russian original)Zbl 1237.65014

Proc. Steklov Inst. Math. 259, Suppl. 2, S231-S242 (2007); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 13, No. 2 (2007).
MSC:  65D15 65D07
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### A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions. (English)Zbl 1126.65092

MSC:  65M70 35K15 81Q05
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### Orthogonal cubic spline collocation method for the nonlinear parabolic equation arising in non-Newtonian fluid flow. (English)Zbl 1388.76220

MSC:  76M22 76D07 76A05
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### System of various mathematical models for transport processes in layered strata with interlayers. (English)Zbl 1121.65105

MSC:  65M70 35K15 65D07

### Approximation by local parabolic splines with arbitrary knots. (Russian. English summary)Zbl 1075.41008

MSC:  41A15 65D07

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### The collocation method with parabolic splines for integral equations with singularities. (English. Russian original)Zbl 1070.65139

Differ. Equ. 39, No. 9, 1343-1352 (2003); translation from Differ. Uravn. 39, No. 9, 1272-1281 (2003).
MSC:  65R20 45C05 45E10
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### Indirect RBFN method with thin plate splines for numerical solution of differential equations. (English)Zbl 1148.76351

MSC:  76M25 65D07

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### Approximation of the RLW equation by the least square cubic $$B$$-spline finite element method. (English)Zbl 0990.65110

MSC:  65M60 35K55 35Q53
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### Isogeometric spline reconstruction of plane curves. (English. Ukrainian original)Zbl 0976.41011

Ukr. Math. J. 52, No. 1, 108-114 (2000); translation from Ukr. Mat. Zh. 52, No. 1, 100-105 (2000).
MSC:  41A15 41A63
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### Numerical treatment of the nerve conduction equation. (English)Zbl 0970.65107

MSC:  65M70 35K55 92C20
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### Numerical mathematics. (English)Zbl 0957.65001

Texts in Applied Mathematics. 37. New York, NY: Springer. xx, 654 p. (2000).

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### A combination of LTDRM and ATPS in solving diffusion problems. (English)Zbl 0980.65110

Noye, John (ed.) et al., Computational techniques and applications: CTAC97. Papers from the 8th Biennial conference, Adelaide, Australia, September 29-October 1, 1997. Singapore: World Scientific. 783-790 (1998).
MSC:  65M70 35K15

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### A spline-in-tension with a parabolic limit-curve. (English)Zbl 0927.65018

Nowacki, Horst (ed.) et al., Creating fair and shape-preserving curves and surfaces. Based on the international workshop organized by the EU Network FAIRSHAPE, held in Kleinmachnow, Germany, September 14–17, 1997. Stuttgart: Teubner. 109-119 (1998).
MSC:  65D17 65D05 65D07

### Polynomial integro-differential 1D and 2D splines. (Russian. English summary)Zbl 0906.65006

MSC:  65D05 65D07 65D10

### On the existence of a certain cubic spline. (English. Ukrainian original)Zbl 0985.65009

J. Math. Sci., New York 102, No. 6, 3832-3836 (2000); translation from Obchisl. Prikl. Mat. 81, 124-129 (1997).
MSC:  65D07 65Z05 41A25

### On the numerical solution of a non-linear heat conduction problem. (English)Zbl 0901.65060

Constanda, C. (ed.) et al., Integral methods in science and engineering. Vol. II: Approximation methods. Proceedings of the 4th international conference, IMSE ’96, Oulu, Finland, June 17–20, 1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 375, 93-98 (1997).
MSC:  65M60 35K55

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